diff --git a/content/Week_1_6/WS_1_6_solution.ipynb b/content/Week_1_6/WS_1_6_solution.ipynb index bf46f8292656258360fa618af372e08ae6b6a66b..bc8dd9e3d4c76fc096b4caaf3ea851b88a9b5046 100644 --- a/content/Week_1_6/WS_1_6_solution.ipynb +++ b/content/Week_1_6/WS_1_6_solution.ipynb @@ -2,31 +2,30 @@ "cells": [ { "cell_type": "markdown", - "id": "1d48ad6c", - "metadata": { - "id": "9adbf457-797f-45b7-8f8b-0e46e0e2f5ff" - }, + "id": "d89cc295", + "metadata": {}, "source": [ - "# WS 1.6: Understanding Ordinary Differential Equation\n", + "## Overview\n", "\n", - "<h1 style=\"position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0\">\n", - " <style>\n", - " .markdown {width:100%; position: relative}\n", - " article { position: relative }\n", - " </style>\n", - " <img src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png\" style=\"width:100px\" />\n", - " <img src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png\" style=\"width:100px\" />\n", "\n", - "</h1>\n", - "<h2 style=\"height: 10px\">\n", - "</h2>\n", + "This assignment is aimed to develop an understanding of the **Ordinary Differential Equation (ODE)**. There will be two sections about cooling and heating scenerios, corresponding to the first-order and the second-order ODEs. Please go through the text that follows and perform all steps outlined therein.\n", + "\n", + "## Part 1: First-order ODE\n", + "\n", + "In the study of heat transfer, **Newton's law of cooling** is a physical law which states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its environment. It can be expressed in the form of ODE, as below:\n", "\n", - "*[CEGM1000 MUDE](http://mude.citg.tudelft.nl/): Week 1.6. For: 9th October, 2024.*" + "$$\\frac{dT}{dt}=-k(T - T_s)$$\n", + "\n", + "where $T$ is the temperature of the object at time $t$, $T_s$ is the temperature of the surrounding and assumed to be constant, and $k$ is the constant that characterizes the ability of the object to exchange the\n", + "heat energy (unit 1/s), which depends on the specific material properties.\n", + "\n", + "\n", + "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $sec^{-1}$.\n" ] }, { "cell_type": "markdown", - "id": "366ef404", + "id": "a2507bbe", "metadata": {}, "source": [ "## Overview\n", @@ -44,7 +43,7 @@ "heat energy (unit 1/s), which depends on the specific material properties.\n", "\n", "\n", - "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $sec^-1$.\n" + "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $s^{-1}$.\n" ] }, { @@ -69,7 +68,7 @@ "id": "3081d88d", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", " \n", "20°C \n", @@ -108,7 +107,7 @@ "id": "bec070a5", "metadata": {}, "source": [ - " <div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + " <div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "Answer for Task 1.2:\n", "<p>\n", @@ -190,7 +189,7 @@ "dt =5 \n", "t_end = 60 \n", "Ts = 20 # [C] \n", - "k = 0.5 # [sec^-1]\n", + "k = 0.5 # [s^-1]\n", "\n", "t = np.arange(0,t_end+dt,dt)\n", "n = len(t)\n", @@ -238,7 +237,7 @@ " T[i+1] = T[i]-k*(T[i]-Ts)*dt \n", " \n", "plt.plot(t, T, 'o-')\n", - "plt.xlabel('t (sec)')\n", + "plt.xlabel('t (s)')\n", "plt.ylabel('T (deg)')\n", "plt.grid()" ] @@ -263,7 +262,7 @@ "id": "59bcbb0a", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "<b>Answer:</b> \n", " \n", @@ -293,7 +292,7 @@ "id": "eb00c9ab", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p> Answer\n", "<p>\n", " \n", @@ -365,7 +364,7 @@ "dt = 10 \n", "t_end = 60 \n", "Ts = 20 # [C] \n", - "k = 0.5 # [sec^-1]\n", + "k = 0.5 # [s^-1]\n", "\n", "t = np.arange(0,t_end+dt,dt)\n", "n = len(t)\n", @@ -376,7 +375,7 @@ " T[i+1] = (T[i]+k*Ts*dt)/(1+k*dt) \n", " \n", "plt.plot(t, T, 'o-')\n", - "plt.xlabel('t (sec)')\n", + "plt.xlabel('t (s)')\n", "plt.ylabel('T (deg)')\n", "plt.grid()" ] @@ -386,7 +385,7 @@ "id": "f534fb27", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "<b>Answer:</b> \n", " \n", @@ -462,7 +461,7 @@ "id": "6ae1eb87", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p> Answer for 2.1a and 2.1b\n", "<p>\n", "\n", @@ -534,7 +533,7 @@ "id": "c8616d1c", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "\n", "The discretized equations are presented in Ax=y form:\n", @@ -581,6 +580,14 @@ " \n" ] }, + { + "cell_type": "markdown", + "id": "9ad98dec", + "metadata": {}, + "source": [ + "<div style=\"background-color:#facb8e; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%\"> <p>This is very similar to the code in the book, except that the matrix size here adapts to the number of grid points that are implied by the <code>dx</code> value selected.</p></div>" + ] + }, { "cell_type": "markdown", "id": "11009615", @@ -657,25 +664,38 @@ }, { "cell_type": "markdown", - "id": "72ed77c5", + "id": "6b2261b9", "metadata": {}, "source": [ "\n", "\n", - "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", "<p>\n", "<b>Task 2.2:</b>\n", "\n", - "Copy the code above below and modify it to replace the Dirichlet condition at the right BC for a Neumann condition such that there $\\frac{dT}{dx}=0$. Approximate the Neuman boundary $\\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy. \n", - "\n", - "How does the temperature profile changes? \n", - "\n", - "**Remember to change the title of the plot to indicate that now the BC is of the Neumann type**\n", + "This task will adapt the problem from 2.1 to incorporate Neumann boundary conditions in three steps: a) writing the new matrix by hand, b) adapting the code from 2.1c, c) reflecting on what this represents physically.\n", "\n", "</p>\n", "</div>" ] }, + { + "cell_type": "markdown", + "id": "61ada855", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2a:</b>\n", + "\n", + "Write the system of equations by hand for a grid with 6 points, incorporating the Neumann condition.\n", + "\n", + "Approximate the Neuman boundary $\\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy.\n", + "\n", + "<em>Write your answer by hand using paper/tablet and include the image below.</em>\n", + " \n" + ] + }, { "cell_type": "markdown", "id": "f89b7b33", @@ -732,6 +752,25 @@ "$$" ] }, + { + "cell_type": "markdown", + "id": "83fd993f", + "metadata": {}, + "source": [ + "\n", + "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2b:</b>\n", + "\n", + "Now adapt the code from Task 2.1c and revise it to incorporate the Neumann boundary condition.\n", + "\n", + "<em>Copy and past the code from 2.1c below, then modify it.</em>\n", + "\n", + "</p>\n", + "</div>" + ] + }, { "cell_type": "code", "execution_count": 5, @@ -780,13 +819,14 @@ "A[np.arange(n-3), np.arange(1, n-2)] = 1 # Upper diagonal\n", "A[np.arange(1, n-2), np.arange(n-3)] = 1 # Lower diagonal\n", " \n", - "A[-1,-1] = -(1+dx**2*alpha) #the lower right corner of the matrix changes\n", + "A[-1,-1] = -(1+dx**2*alpha) # the lower right corner of the matrix changes\n", " \n", "# Building vector b\n", "b_element = -dx**2*alpha*Ts\n", "b = np.zeros(len(x)-2) + b_element\n", "b[0] = b[0] - T[0]\n", - "b[-1] = b[-1] #the vector b also changes\n", + "b[-1] = b[-1] # the vector b also changes\n", + "# the line above does nothing but kept here to help compare to previous step\n", " \n", "# Solving the system\n", "\n", @@ -805,7 +845,38 @@ }, { "cell_type": "markdown", - "id": "ac255017", + "id": "60529b3b", + "metadata": {}, + "source": [ + "\n", + "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2c:</b>\n", + "\n", + "Reflect on the difference between the problem solved in Task 2.1 in comparison to 2.2. How are we changing the physics of the problem being solved by changing the boundary condition? What does this mean in reality for the temperature distribution in the bar over time?\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "943b7e16", + "metadata": {}, + "source": [ + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<p>\n", + "\n", + "We have changed the boundaries from a temperature to the derivative of the temperature (with respect to space). This is like changing it from a constant temperature at the edges to a of heat going in or out of the system at one of the edges. In this case since the gradient is 0 it represents a perfectly insulated system. Think of it like a really good portable cooler keeping your beverages cold at the beach on a hot day.\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "c51ef76a", "metadata": {}, "source": [ "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", @@ -813,12 +884,14 @@ "<b>Task 2.3:</b>\n", "\n", "Just as we did in Task 2.1, this task has three parts: a) discretize the analytic expression into a system of equations using <b>forward differences</b>, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.\n", + "\n", + "Here we focus on <b>Dirichlet</b> conditions again.\n", "</div> \n" ] }, { "cell_type": "markdown", - "id": "104690ed", + "id": "cf78136a", "metadata": {}, "source": [ "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", @@ -836,7 +909,7 @@ "id": "74174f3a", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "Forward difference for second order differential equation:\n", "\n", @@ -937,7 +1010,7 @@ "\\end{bmatrix}\n", "=\n", "\\begin{bmatrix}\n", - "-\\alpha Ts \\Delta x^2 -T_0\\\\\n", + "-\\alpha Ts \\Delta x^2 - (1-\\alpha \\Delta x^2)T_0\\\\\n", "-\\alpha Ts \\Delta x^2 \\\\\n", "-\\alpha Ts \\Delta x^2\\\\\n", "-\\alpha Ts \\Delta x^2 -T_5\n", @@ -1017,11 +1090,11 @@ "T[-1] = Ts\n", "\n", "# Building matrix A\n", - "matrix_element = 1-alpha*dx**2 # The matrix element changes \n", + "matrix_element = 1-alpha*dx**2 # The matrix element changes (from CD)\n", "A = np.zeros((len(x)-2,len(x)-2))\n", - "np.fill_diagonal(A, -2)\n", + "np.fill_diagonal(A, -2) # different from CD \n", "A[np.arange(n-3), np.arange(1, n-2)] = 1 # Upper diagonal\n", - "A[np.arange(1, n-2), np.arange(n-3)] = matrix_element # Lower diagonal\n", + "A[np.arange(1, n-2), np.arange(n-3)] = matrix_element # Lower d.: different from CD\n", "print(A)\n", "\n", "# Building vector b\n", @@ -1069,7 +1142,7 @@ "id": "7ef65db5", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", " \n", "You can test this above make the temperature the same at x=0.02\n", @@ -1191,7 +1264,7 @@ "id": "5d5b9189", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p> Answer\n", "<p>\n", " \n", diff --git a/content/Week_1_6/WS_1_6_student.ipynb b/content/Week_1_6/WS_1_6_time_to_c_ode.ipynb similarity index 91% rename from content/Week_1_6/WS_1_6_student.ipynb rename to content/Week_1_6/WS_1_6_time_to_c_ode.ipynb index 6feca7251939d3de9a52048ec05ba51f02b6ae6c..3ef121b1fec3a51dcfaff46928753c4b88a66652 100644 --- a/content/Week_1_6/WS_1_6_student.ipynb +++ b/content/Week_1_6/WS_1_6_time_to_c_ode.ipynb @@ -44,7 +44,7 @@ "heat energy (unit 1/s), which depends on the specific material properties.\n", "\n", "\n", - "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $sec^-1$.\n" + "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $s^{-1}$.\n" ] }, { @@ -144,7 +144,7 @@ "dt =YOUR_CODE_HERE \n", "t_end =YOUR_CODE_HERE \n", "Ts = 20 # [C] \n", - "k = 0.5 # [sec^-1]\n", + "k = 0.5 # [s^-1]\n", "\n", "t = YOUR_CODE_HERE\n", "n = YOUR_CODE_HERE\n", @@ -181,7 +181,7 @@ " T[i+1] = YOUR_CODE_HERE\n", " \n", "plt.plot(t, T, 'o-')\n", - "plt.xlabel('t (sec)')\n", + "plt.xlabel('t (s)')\n", "plt.ylabel('T (deg)')\n", "plt.grid()" ] @@ -253,7 +253,7 @@ "dt = YOUR_CODE_HERE \n", "t_end = 60 \n", "Ts = 20 # [C] \n", - "k = 0.5 # [sec^-1]\n", + "k = 0.5 # [s^-1]\n", "\n", "t = YOUR_CODE_HERE\n", "n = YOUR_CODE_HERE\n", @@ -264,7 +264,7 @@ " T[i+1] = YOUR_CODE_HERE \n", " \n", "plt.plot(t, T, 'o-')\n", - "plt.xlabel('t (sec)')\n", + "plt.xlabel('t (s)')\n", "plt.ylabel('T (deg)')\n", "plt.grid()" ] @@ -435,7 +435,7 @@ }, { "cell_type": "markdown", - "id": "72ed77c5", + "id": "fab32745", "metadata": {}, "source": [ "\n", @@ -444,12 +444,79 @@ "<p>\n", "<b>Task 2.2:</b>\n", "\n", - "The code below is the same as above, modify it to replace the Dirichlet condition at the right BC for a Neumann condition such that there $\\frac{dT}{dx}=0$. How does the temperature profile changes? \n", + "This task will adapt the problem from 2.1 to incorporate Neumann boundary conditions in three steps: a) writing the new matrix by hand, b) adapting the code from 2.1c, c) reflecting on what this represents physically.\n", "\n", - "Approximate the Neuman boundary $\\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy. \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "97594dc4", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2a:</b>\n", + "\n", + "Write the system of equations by hand for a grid with 6 points, incorporating the Neumann condition.\n", + "\n", + "Approximate the Neuman boundary $\\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy.\n", + "\n", + "<em>Write your answer by hand using paper/tablet and include the image below.</em>\n", + " \n" + ] + }, + { + "cell_type": "markdown", + "id": "82e00391", + "metadata": {}, + "source": [ + "_Your answer here._" + ] + }, + { + "cell_type": "markdown", + "id": "5dbe120c", + "metadata": {}, + "source": [ "\n", + "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2b:</b>\n", + "\n", + "Now adapt the code from Task 2.1c and revise it to incorporate the Neumann boundary condition.\n", + "\n", + "<em>Copy and past the code from 2.1c below, then modify it.</em>\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ac2255d4", + "metadata": {}, + "outputs": [], + "source": [ + "YOUR_CODE_HERE" + ] + }, + { + "cell_type": "markdown", + "id": "cf1cd521", + "metadata": {}, + "source": [ "\n", "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2c:</b>\n", + "\n", + "Reflect on the difference between the problem solved in Task 2.1 in comparison to 2.2. How are we changing the physics of the problem being solved by changing the boundary condition? What does this mean in reality for the temperature distribution in the bar over time?\n", + "\n", "</p>\n", "</div>" ] @@ -520,6 +587,8 @@ "<b>Task 2.3:</b>\n", "\n", "Just as we did in Task 2.1, this task has three parts: a) discretize the analytic expression into a system of equations using <b>forward differences</b>, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.\n", + "\n", + "Here we focus on <b>Dirichlet</b> conditions again.\n", "</div> \n" ] }, diff --git a/src/teachers/Week_1_6/WS_1_6_student.html b/src/students/Week_1_6/WS_1_6_time_to_c_ode.html similarity index 98% rename from src/teachers/Week_1_6/WS_1_6_student.html rename to src/students/Week_1_6/WS_1_6_time_to_c_ode.html index adfe3233e76eac5a0ac844ac85e212d3a5685416..261fe0171bd9a0e629cd608dc3ce7970a1f015f8 100644 --- a/src/teachers/Week_1_6/WS_1_6_student.html +++ b/src/students/Week_1_6/WS_1_6_time_to_c_ode.html @@ -3,7 +3,7 @@ <html lang="en"> <head><meta charset="utf-8"/> <meta content="width=device-width, initial-scale=1.0" name="viewport"/> -<title>WS_1_6_student</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script><script> +<title>WS_1_6_time_to_c_ode</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script><script> (function() { function addWidgetsRenderer() { var mimeElement = document.querySelector('script[type="application/vnd.jupyter.widget-view+json"]'); @@ -7534,7 +7534,7 @@ a.anchor-link { <h2 id="Part-1:-First-order-ODE">Part 1: First-order ODE<a class="anchor-link" href="#Part-1:-First-order-ODE">¶</a></h2><p>In the study of heat transfer, <strong>Newton's law of cooling</strong> is a physical law which states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its environment. It can be expressed in the form of ODE, as below:</p> $$\frac{dT}{dt}=-k(T - T_s)$$<p>where $T$ is the temperature of the object at time $t$, $T_s$ is the temperature of the surrounding and assumed to be constant, and $k$ is the constant that characterizes the ability of the object to exchange the heat energy (unit 1/s), which depends on the specific material properties.</p> -<p>Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $sec^-1$.</p> +<p>Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $s^{-1}$.</p> </div> </div> </div> @@ -7649,7 +7649,7 @@ heat energy (unit 1/s), which depends on the specific material properties.</p> <span class="n">dt</span> <span class="o">=</span><span class="n">YOUR_CODE_HERE</span> <span class="n">t_end</span> <span class="o">=</span><span class="n">YOUR_CODE_HERE</span> <span class="n">Ts</span> <span class="o">=</span> <span class="mi">20</span> <span class="c1"># [C] </span> -<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [sec^-1]</span> +<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [s^-1]</span> <span class="n">t</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> <span class="n">n</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> @@ -7688,7 +7688,7 @@ heat energy (unit 1/s), which depends on the specific material properties.</p> <span class="n">T</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">T</span><span class="p">,</span> <span class="s1">'o-'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (sec)'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (s)'</span><span class="p">)</span> <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T (deg)'</span><span class="p">)</span> <span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">()</span> </pre></div> @@ -7775,7 +7775,7 @@ heat energy (unit 1/s), which depends on the specific material properties.</p> <div class="highlight hl-ipython3"><pre><span></span><span class="n">dt</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> <span class="n">t_end</span> <span class="o">=</span> <span class="mi">60</span> <span class="n">Ts</span> <span class="o">=</span> <span class="mi">20</span> <span class="c1"># [C] </span> -<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [sec^-1]</span> +<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [s^-1]</span> <span class="n">t</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> <span class="n">n</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> @@ -7786,7 +7786,7 @@ heat energy (unit 1/s), which depends on the specific material properties.</p> <span class="n">T</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">T</span><span class="p">,</span> <span class="s1">'o-'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (sec)'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (s)'</span><span class="p">)</span> <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T (deg)'</span><span class="p">)</span> <span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">()</span> </pre></div> @@ -7974,7 +7974,7 @@ $$<p>The ambient temperature is $T_s= 30^o$ C and the temperature at the wall is </div> </div> </div> -<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=72ed77c5"> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=fab32745"> <div class="jp-Cell-inputWrapper" tabindex="0"> <div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> </div> @@ -7983,8 +7983,81 @@ $$<p>The ambient temperature is $T_s= 30^o$ C and the temperature at the wall is <div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> <p> <b>Task 2.2:</b> -<p>The code below is the same as above, modify it to replace the Dirichlet condition at the right BC for a Neumann condition such that there $\frac{dT}{dx}=0$. How does the temperature profile changes?</p> +<p>This task will adapt the problem from 2.1 to incorporate Neumann boundary conditions in three steps: a) writing the new matrix by hand, b) adapting the code from 2.1c, c) reflecting on what this represents physically.</p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=97594dc4"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2a:</b> +<p>Write the system of equations by hand for a grid with 6 points, incorporating the Neumann condition.</p> <p>Approximate the Neuman boundary $\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy.</p> +<p><em>Write your answer by hand using paper/tablet and include the image below.</em></p> +</p></div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=82e00391"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p><em>Your answer here.</em></p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=5dbe120c"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2b:</b> +<p>Now adapt the code from Task 2.1c and revise it to incorporate the Neumann boundary condition.</p> +<p><em>Copy and past the code from 2.1c below, then modify it.</em></p> +</p> +</div> +</div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=ac2255d4"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="n">YOUR_CODE_HERE</span> +</pre></div> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=cf1cd521"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2c:</b> +<p>Reflect on the difference between the problem solved in Task 2.1 in comparison to 2.2. How are we changing the physics of the problem being solved by changing the boundary condition? What does this mean in reality for the temperature distribution in the bar over time?</p> </p> </div> </div> @@ -8065,6 +8138,7 @@ $$<p>The ambient temperature is $T_s= 30^o$ C and the temperature at the wall is <p> <b>Task 2.3:</b> <p>Just as we did in Task 2.1, this task has three parts: a) discretize the analytic expression into a system of equations using <b>forward differences</b>, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.</p> +<p>Here we focus on <b>Dirichlet</b> conditions again.</p> </p></div> </div> </div> @@ -8316,7 +8390,7 @@ $$<p>The ambient temperature is $T_s= 30^o$ C and the temperature at the wall is </div> </div> </div> -</div></div></div></div></div></div></div></main> +</div></div></div></div></div></div></div></div></main> </body> <script type="application/vnd.jupyter.widget-state+json"> {"state": {}, "version_major": 2, "version_minor": 0} diff --git a/src/teachers/Week_1_6/WS_1_6_student.ipynb b/src/students/Week_1_6/WS_1_6_time_to_c_ode.ipynb similarity index 91% rename from src/teachers/Week_1_6/WS_1_6_student.ipynb rename to src/students/Week_1_6/WS_1_6_time_to_c_ode.ipynb index 6feca7251939d3de9a52048ec05ba51f02b6ae6c..3ef121b1fec3a51dcfaff46928753c4b88a66652 100644 --- a/src/teachers/Week_1_6/WS_1_6_student.ipynb +++ b/src/students/Week_1_6/WS_1_6_time_to_c_ode.ipynb @@ -44,7 +44,7 @@ "heat energy (unit 1/s), which depends on the specific material properties.\n", "\n", "\n", - "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $sec^-1$.\n" + "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $s^{-1}$.\n" ] }, { @@ -144,7 +144,7 @@ "dt =YOUR_CODE_HERE \n", "t_end =YOUR_CODE_HERE \n", "Ts = 20 # [C] \n", - "k = 0.5 # [sec^-1]\n", + "k = 0.5 # [s^-1]\n", "\n", "t = YOUR_CODE_HERE\n", "n = YOUR_CODE_HERE\n", @@ -181,7 +181,7 @@ " T[i+1] = YOUR_CODE_HERE\n", " \n", "plt.plot(t, T, 'o-')\n", - "plt.xlabel('t (sec)')\n", + "plt.xlabel('t (s)')\n", "plt.ylabel('T (deg)')\n", "plt.grid()" ] @@ -253,7 +253,7 @@ "dt = YOUR_CODE_HERE \n", "t_end = 60 \n", "Ts = 20 # [C] \n", - "k = 0.5 # [sec^-1]\n", + "k = 0.5 # [s^-1]\n", "\n", "t = YOUR_CODE_HERE\n", "n = YOUR_CODE_HERE\n", @@ -264,7 +264,7 @@ " T[i+1] = YOUR_CODE_HERE \n", " \n", "plt.plot(t, T, 'o-')\n", - "plt.xlabel('t (sec)')\n", + "plt.xlabel('t (s)')\n", "plt.ylabel('T (deg)')\n", "plt.grid()" ] @@ -435,7 +435,7 @@ }, { "cell_type": "markdown", - "id": "72ed77c5", + "id": "fab32745", "metadata": {}, "source": [ "\n", @@ -444,12 +444,79 @@ "<p>\n", "<b>Task 2.2:</b>\n", "\n", - "The code below is the same as above, modify it to replace the Dirichlet condition at the right BC for a Neumann condition such that there $\\frac{dT}{dx}=0$. How does the temperature profile changes? \n", + "This task will adapt the problem from 2.1 to incorporate Neumann boundary conditions in three steps: a) writing the new matrix by hand, b) adapting the code from 2.1c, c) reflecting on what this represents physically.\n", "\n", - "Approximate the Neuman boundary $\\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy. \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "97594dc4", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2a:</b>\n", + "\n", + "Write the system of equations by hand for a grid with 6 points, incorporating the Neumann condition.\n", + "\n", + "Approximate the Neuman boundary $\\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy.\n", + "\n", + "<em>Write your answer by hand using paper/tablet and include the image below.</em>\n", + " \n" + ] + }, + { + "cell_type": "markdown", + "id": "82e00391", + "metadata": {}, + "source": [ + "_Your answer here._" + ] + }, + { + "cell_type": "markdown", + "id": "5dbe120c", + "metadata": {}, + "source": [ "\n", + "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2b:</b>\n", + "\n", + "Now adapt the code from Task 2.1c and revise it to incorporate the Neumann boundary condition.\n", + "\n", + "<em>Copy and past the code from 2.1c below, then modify it.</em>\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ac2255d4", + "metadata": {}, + "outputs": [], + "source": [ + "YOUR_CODE_HERE" + ] + }, + { + "cell_type": "markdown", + "id": "cf1cd521", + "metadata": {}, + "source": [ "\n", "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2c:</b>\n", + "\n", + "Reflect on the difference between the problem solved in Task 2.1 in comparison to 2.2. How are we changing the physics of the problem being solved by changing the boundary condition? What does this mean in reality for the temperature distribution in the bar over time?\n", + "\n", "</p>\n", "</div>" ] @@ -520,6 +587,8 @@ "<b>Task 2.3:</b>\n", "\n", "Just as we did in Task 2.1, this task has three parts: a) discretize the analytic expression into a system of equations using <b>forward differences</b>, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.\n", + "\n", + "Here we focus on <b>Dirichlet</b> conditions again.\n", "</div> \n" ] }, diff --git a/src/teachers/Week_1_6/WS_1_6_solution.html b/src/teachers/Week_1_6/WS_1_6_solution.html index b468d24fa33a36cfee3bfb94d17df47539e25079..2e2671fcd8c07da5e82e6b5b4373ec8309e79e51 100644 --- a/src/teachers/Week_1_6/WS_1_6_solution.html +++ b/src/teachers/Week_1_6/WS_1_6_solution.html @@ -7503,28 +7503,22 @@ a.anchor-link { <!-- End of mermaid configuration --></head> <body class="jp-Notebook" data-jp-theme-light="true" data-jp-theme-name="JupyterLab Light"> <main> -<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=1d48ad6c"> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=d89cc295"> <div class="jp-Cell-inputWrapper" tabindex="0"> <div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<h1 id="WS-1.6:-Understanding-Ordinary-Differential-Equation">WS 1.6: Understanding Ordinary Differential Equation<a class="anchor-link" href="#WS-1.6:-Understanding-Ordinary-Differential-Equation">¶</a></h1><h1 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0"> -<style> - .markdown {width:100%; position: relative} - article { position: relative } - </style> -<img alt="No description has been provided for this image" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" style="width:100px"/> -<img alt="No description has been provided for this image" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png" style="width:100px"/> -</h1> -<h2 style="height: 10px"> -</h2> -<p><em><a href="http://mude.citg.tudelft.nl/">CEGM1000 MUDE</a>: Week 1.6. For: 9th October, 2024.</em></p> +<h2 id="Overview">Overview<a class="anchor-link" href="#Overview">¶</a></h2><p>This assignment is aimed to develop an understanding of the <strong>Ordinary Differential Equation (ODE)</strong>. There will be two sections about cooling and heating scenerios, corresponding to the first-order and the second-order ODEs. Please go through the text that follows and perform all steps outlined therein.</p> +<h2 id="Part-1:-First-order-ODE">Part 1: First-order ODE<a class="anchor-link" href="#Part-1:-First-order-ODE">¶</a></h2><p>In the study of heat transfer, <strong>Newton's law of cooling</strong> is a physical law which states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its environment. It can be expressed in the form of ODE, as below:</p> +$$\frac{dT}{dt}=-k(T - T_s)$$<p>where $T$ is the temperature of the object at time $t$, $T_s$ is the temperature of the surrounding and assumed to be constant, and $k$ is the constant that characterizes the ability of the object to exchange the +heat energy (unit 1/s), which depends on the specific material properties.</p> +<p>Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $sec^{-1}$.</p> </div> </div> </div> </div> -<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=366ef404"> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=a2507bbe"> <div class="jp-Cell-inputWrapper" tabindex="0"> <div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> </div> @@ -7534,7 +7528,7 @@ a.anchor-link { <h2 id="Part-1:-First-order-ODE">Part 1: First-order ODE<a class="anchor-link" href="#Part-1:-First-order-ODE">¶</a></h2><p>In the study of heat transfer, <strong>Newton's law of cooling</strong> is a physical law which states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its environment. It can be expressed in the form of ODE, as below:</p> $$\frac{dT}{dt}=-k(T - T_s)$$<p>where $T$ is the temperature of the object at time $t$, $T_s$ is the temperature of the surrounding and assumed to be constant, and $k$ is the constant that characterizes the ability of the object to exchange the heat energy (unit 1/s), which depends on the specific material properties.</p> -<p>Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $sec^-1$.</p> +<p>Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $s^{-1}$.</p> </div> </div> </div> @@ -7562,7 +7556,7 @@ heat energy (unit 1/s), which depends on the specific material properties.</p> </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> <p>20°C</p> <p><em>This is because the body's temperature, $T$, will tend to the ambience temperature in the long term. The decrease will be abrupt at the beginning and will slow down as time passes $T(t=large) = T_s = 20°C$.</em></p> @@ -7605,7 +7599,7 @@ heat energy (unit 1/s), which depends on the specific material properties.</p> </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> Answer for Task 1.2: <p> @@ -7675,7 +7669,7 @@ $$<p>or from forward finite difference</p> <span class="n">dt</span> <span class="o">=</span><span class="mi">5</span> <span class="n">t_end</span> <span class="o">=</span> <span class="mi">60</span> <span class="n">Ts</span> <span class="o">=</span> <span class="mi">20</span> <span class="c1"># [C] </span> -<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [sec^-1]</span> +<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [s^-1]</span> <span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">t_end</span><span class="o">+</span><span class="n">dt</span><span class="p">,</span><span class="n">dt</span><span class="p">)</span> <span class="n">n</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">t</span><span class="p">)</span> @@ -7714,7 +7708,7 @@ $$<p>or from forward finite difference</p> <span class="n">T</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">T</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">-</span><span class="n">k</span><span class="o">*</span><span class="p">(</span><span class="n">T</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">-</span><span class="n">Ts</span><span class="p">)</span><span class="o">*</span><span class="n">dt</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">T</span><span class="p">,</span> <span class="s1">'o-'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (sec)'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (s)'</span><span class="p">)</span> <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T (deg)'</span><span class="p">)</span> <span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">()</span> </pre></div> @@ -7757,7 +7751,7 @@ $$<p>or from forward finite difference</p> </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> <b>Answer:</b> <p>4 seconds is the limit between an unstable and a stable solution.</p> @@ -7789,7 +7783,7 @@ $$<p>or from forward finite difference</p> </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> Answer <p> $$ @@ -7838,7 +7832,7 @@ Then $|k*dt| < 2$, thus $dt < 4$.</p> <div class="highlight hl-ipython3"><pre><span></span><span class="n">dt</span> <span class="o">=</span> <span class="mi">10</span> <span class="n">t_end</span> <span class="o">=</span> <span class="mi">60</span> <span class="n">Ts</span> <span class="o">=</span> <span class="mi">20</span> <span class="c1"># [C] </span> -<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [sec^-1]</span> +<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [s^-1]</span> <span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">t_end</span><span class="o">+</span><span class="n">dt</span><span class="p">,</span><span class="n">dt</span><span class="p">)</span> <span class="n">n</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">t</span><span class="p">)</span> @@ -7849,7 +7843,7 @@ Then $|k*dt| < 2$, thus $dt < 4$.</p> <span class="n">T</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="n">T</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">+</span><span class="n">k</span><span class="o">*</span><span class="n">Ts</span><span class="o">*</span><span class="n">dt</span><span class="p">)</span><span class="o">/</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">k</span><span class="o">*</span><span class="n">dt</span><span class="p">)</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">T</span><span class="p">,</span> <span class="s1">'o-'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (sec)'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (s)'</span><span class="p">)</span> <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T (deg)'</span><span class="p">)</span> <span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">()</span> </pre></div> @@ -7876,7 +7870,7 @@ Then $|k*dt| < 2$, thus $dt < 4$.</p> </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> <b>Answer:</b> <p>No, you cannot! This method is unconditionally stable. (a good thing to remember for the exam)</p> @@ -7955,7 +7949,7 @@ $$<p>The ambient temperature is $T_s= 30^o$ C and the temperature at the wall is </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> Answer for 2.1a and 2.1b <p> $$ @@ -8009,7 +8003,7 @@ $$</p> </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> <p>The discretized equations are presented in Ax=y form:</p> $$ @@ -8052,6 +8046,17 @@ $$</p> </div> </div> </div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=9ad98dec"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#facb8e; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%"> <p>This is very similar to the code in the book, except that the matrix size here adapts to the number of grid points that are implied by the <code>dx</code> value selected.</p></div> +</div> +</div> +</div> +</div> <div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=11009615"> <div class="jp-Cell-inputWrapper" tabindex="0"> <div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> @@ -8135,24 +8140,38 @@ $$</p> </div> </div> </div> -<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=72ed77c5"> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=6b2261b9"> <div class="jp-Cell-inputWrapper" tabindex="0"> <div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> <p> <b>Task 2.2:</b> -<p>Copy the code above below and modify it to replace the Dirichlet condition at the right BC for a Neumann condition such that there $\frac{dT}{dx}=0$. Approximate the Neuman boundary $\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy.</p> -<p>How does the temperature profile changes?</p> -<p><strong>Remember to change the title of the plot to indicate that now the BC is of the Neumann type</strong></p> +<p>This task will adapt the problem from 2.1 to incorporate Neumann boundary conditions in three steps: a) writing the new matrix by hand, b) adapting the code from 2.1c, c) reflecting on what this represents physically.</p> </p> </div> </div> </div> </div> </div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=61ada855"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2a:</b> +<p>Write the system of equations by hand for a grid with 6 points, incorporating the Neumann condition.</p> +<p>Approximate the Neuman boundary $\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy.</p> +<p><em>Write your answer by hand using paper/tablet and include the image below.</em></p> +</p></div> +</div> +</div> +</div> <div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=f89b7b33"> <div class="jp-Cell-inputWrapper" tabindex="0"> <div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> @@ -8197,6 +8216,23 @@ $$ </div> </div> </div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=83fd993f"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2b:</b> +<p>Now adapt the code from Task 2.1c and revise it to incorporate the Neumann boundary condition.</p> +<p><em>Copy and past the code from 2.1c below, then modify it.</em></p> +</p> +</div> +</div> +</div> +</div> </div><div class="jp-Cell jp-CodeCell jp-Notebook-cell" id="cell-id=cfcd00f9"> <div class="jp-Cell-inputWrapper" tabindex="0"> <div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> @@ -8228,13 +8264,14 @@ $$ <span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">)]</span> <span class="o">=</span> <span class="mi">1</span> <span class="c1"># Upper diagonal</span> <span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">)]</span> <span class="o">=</span> <span class="mi">1</span> <span class="c1"># Lower diagonal</span> -<span class="n">A</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">alpha</span><span class="p">)</span> <span class="c1">#the lower right corner of the matrix changes</span> +<span class="n">A</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">alpha</span><span class="p">)</span> <span class="c1"># the lower right corner of the matrix changes</span> <span class="c1"># Building vector b</span> <span class="n">b_element</span> <span class="o">=</span> <span class="o">-</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">alpha</span><span class="o">*</span><span class="n">Ts</span> <span class="n">b</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">)</span> <span class="o">+</span> <span class="n">b_element</span> <span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> -<span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="c1">#the vector b also changes</span> +<span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="c1"># the vector b also changes</span> +<span class="c1"># the line above does nothing but kept here to help compare to previous step</span> <span class="c1"># Solving the system</span> @@ -8274,7 +8311,38 @@ $$ </div> </div> </div> -<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=ac255017"> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=60529b3b"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2c:</b> +<p>Reflect on the difference between the problem solved in Task 2.1 in comparison to 2.2. How are we changing the physics of the problem being solved by changing the boundary condition? What does this mean in reality for the temperature distribution in the bar over time?</p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=943b7e16"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<p> +<p>We have changed the boundaries from a temperature to the derivative of the temperature (with respect to space). This is like changing it from a constant temperature at the edges to a of heat going in or out of the system at one of the edges. In this case since the gradient is 0 it represents a perfectly insulated system. Think of it like a really good portable cooler keeping your beverages cold at the beach on a hot day.</p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=c51ef76a"> <div class="jp-Cell-inputWrapper" tabindex="0"> <div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> </div> @@ -8284,12 +8352,13 @@ $$ <p> <b>Task 2.3:</b> <p>Just as we did in Task 2.1, this task has three parts: a) discretize the analytic expression into a system of equations using <b>forward differences</b>, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.</p> +<p>Here we focus on <b>Dirichlet</b> conditions again.</p> </p></div> </div> </div> </div> </div> -<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=104690ed"> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=cf78136a"> <div class="jp-Cell-inputWrapper" tabindex="0"> <div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> </div> @@ -8310,7 +8379,7 @@ $$ </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> Forward difference for second order differential equation: $$ @@ -8384,7 +8453,7 @@ T_4 \end{bmatrix} = \begin{bmatrix} --\alpha Ts \Delta x^2 -T_0\\ +-\alpha Ts \Delta x^2 - (1-\alpha \Delta x^2)T_0\\ -\alpha Ts \Delta x^2 \\ -\alpha Ts \Delta x^2\\ -\alpha Ts \Delta x^2 -T_5 @@ -8433,11 +8502,11 @@ $$ <span class="n">T</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">Ts</span> <span class="c1"># Building matrix A</span> -<span class="n">matrix_element</span> <span class="o">=</span> <span class="mi">1</span><span class="o">-</span><span class="n">alpha</span><span class="o">*</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span> <span class="c1"># The matrix element changes </span> +<span class="n">matrix_element</span> <span class="o">=</span> <span class="mi">1</span><span class="o">-</span><span class="n">alpha</span><span class="o">*</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span> <span class="c1"># The matrix element changes (from CD)</span> <span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">))</span> -<span class="n">np</span><span class="o">.</span><span class="n">fill_diagonal</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="o">-</span><span class="mi">2</span><span class="p">)</span> +<span class="n">np</span><span class="o">.</span><span class="n">fill_diagonal</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="o">-</span><span class="mi">2</span><span class="p">)</span> <span class="c1"># different from CD </span> <span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">)]</span> <span class="o">=</span> <span class="mi">1</span> <span class="c1"># Upper diagonal</span> -<span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">)]</span> <span class="o">=</span> <span class="n">matrix_element</span> <span class="c1"># Lower diagonal</span> +<span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">)]</span> <span class="o">=</span> <span class="n">matrix_element</span> <span class="c1"># Lower d.: different from CD</span> <span class="nb">print</span><span class="p">(</span><span class="n">A</span><span class="p">)</span> <span class="c1"># Building vector b</span> @@ -8524,7 +8593,7 @@ The temperature at x=0.02 is: 168.04 [C] </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> <p>You can test this above make the temperature the same at x=0.02</p> </p> @@ -8661,7 +8730,7 @@ The time used by the sparse matrix solver is 1.286e-03 sec </div> <div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> </div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> -<div style="background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<div style="background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> <p> Answer <p> <p>The sparse matrix is fastest, but we see that the Numpy implementation is also very fast! problem still small; Gauss-Jordan slow because...???</p> @@ -8702,7 +8771,7 @@ The time used by the sparse matrix solver is 1.286e-03 sec </div> </div> </div> -</div></div></div></div></div></div></div></main> +</div></div></div></div></div></div></div></div></main> </body> <script type="application/vnd.jupyter.widget-state+json"> {"state": {}, "version_major": 2, "version_minor": 0} diff --git a/src/teachers/Week_1_6/WS_1_6_solution.ipynb b/src/teachers/Week_1_6/WS_1_6_solution.ipynb index bf46f8292656258360fa618af372e08ae6b6a66b..bc8dd9e3d4c76fc096b4caaf3ea851b88a9b5046 100644 --- a/src/teachers/Week_1_6/WS_1_6_solution.ipynb +++ b/src/teachers/Week_1_6/WS_1_6_solution.ipynb @@ -2,31 +2,30 @@ "cells": [ { "cell_type": "markdown", - "id": "1d48ad6c", - "metadata": { - "id": "9adbf457-797f-45b7-8f8b-0e46e0e2f5ff" - }, + "id": "d89cc295", + "metadata": {}, "source": [ - "# WS 1.6: Understanding Ordinary Differential Equation\n", + "## Overview\n", "\n", - "<h1 style=\"position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0\">\n", - " <style>\n", - " .markdown {width:100%; position: relative}\n", - " article { position: relative }\n", - " </style>\n", - " <img src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png\" style=\"width:100px\" />\n", - " <img src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png\" style=\"width:100px\" />\n", "\n", - "</h1>\n", - "<h2 style=\"height: 10px\">\n", - "</h2>\n", + "This assignment is aimed to develop an understanding of the **Ordinary Differential Equation (ODE)**. There will be two sections about cooling and heating scenerios, corresponding to the first-order and the second-order ODEs. Please go through the text that follows and perform all steps outlined therein.\n", + "\n", + "## Part 1: First-order ODE\n", + "\n", + "In the study of heat transfer, **Newton's law of cooling** is a physical law which states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its environment. It can be expressed in the form of ODE, as below:\n", "\n", - "*[CEGM1000 MUDE](http://mude.citg.tudelft.nl/): Week 1.6. For: 9th October, 2024.*" + "$$\\frac{dT}{dt}=-k(T - T_s)$$\n", + "\n", + "where $T$ is the temperature of the object at time $t$, $T_s$ is the temperature of the surrounding and assumed to be constant, and $k$ is the constant that characterizes the ability of the object to exchange the\n", + "heat energy (unit 1/s), which depends on the specific material properties.\n", + "\n", + "\n", + "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $sec^{-1}$.\n" ] }, { "cell_type": "markdown", - "id": "366ef404", + "id": "a2507bbe", "metadata": {}, "source": [ "## Overview\n", @@ -44,7 +43,7 @@ "heat energy (unit 1/s), which depends on the specific material properties.\n", "\n", "\n", - "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $sec^-1$.\n" + "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $s^{-1}$.\n" ] }, { @@ -69,7 +68,7 @@ "id": "3081d88d", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", " \n", "20°C \n", @@ -108,7 +107,7 @@ "id": "bec070a5", "metadata": {}, "source": [ - " <div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + " <div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "Answer for Task 1.2:\n", "<p>\n", @@ -190,7 +189,7 @@ "dt =5 \n", "t_end = 60 \n", "Ts = 20 # [C] \n", - "k = 0.5 # [sec^-1]\n", + "k = 0.5 # [s^-1]\n", "\n", "t = np.arange(0,t_end+dt,dt)\n", "n = len(t)\n", @@ -238,7 +237,7 @@ " T[i+1] = T[i]-k*(T[i]-Ts)*dt \n", " \n", "plt.plot(t, T, 'o-')\n", - "plt.xlabel('t (sec)')\n", + "plt.xlabel('t (s)')\n", "plt.ylabel('T (deg)')\n", "plt.grid()" ] @@ -263,7 +262,7 @@ "id": "59bcbb0a", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "<b>Answer:</b> \n", " \n", @@ -293,7 +292,7 @@ "id": "eb00c9ab", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p> Answer\n", "<p>\n", " \n", @@ -365,7 +364,7 @@ "dt = 10 \n", "t_end = 60 \n", "Ts = 20 # [C] \n", - "k = 0.5 # [sec^-1]\n", + "k = 0.5 # [s^-1]\n", "\n", "t = np.arange(0,t_end+dt,dt)\n", "n = len(t)\n", @@ -376,7 +375,7 @@ " T[i+1] = (T[i]+k*Ts*dt)/(1+k*dt) \n", " \n", "plt.plot(t, T, 'o-')\n", - "plt.xlabel('t (sec)')\n", + "plt.xlabel('t (s)')\n", "plt.ylabel('T (deg)')\n", "plt.grid()" ] @@ -386,7 +385,7 @@ "id": "f534fb27", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "<b>Answer:</b> \n", " \n", @@ -462,7 +461,7 @@ "id": "6ae1eb87", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p> Answer for 2.1a and 2.1b\n", "<p>\n", "\n", @@ -534,7 +533,7 @@ "id": "c8616d1c", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "\n", "The discretized equations are presented in Ax=y form:\n", @@ -581,6 +580,14 @@ " \n" ] }, + { + "cell_type": "markdown", + "id": "9ad98dec", + "metadata": {}, + "source": [ + "<div style=\"background-color:#facb8e; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%\"> <p>This is very similar to the code in the book, except that the matrix size here adapts to the number of grid points that are implied by the <code>dx</code> value selected.</p></div>" + ] + }, { "cell_type": "markdown", "id": "11009615", @@ -657,25 +664,38 @@ }, { "cell_type": "markdown", - "id": "72ed77c5", + "id": "6b2261b9", "metadata": {}, "source": [ "\n", "\n", - "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", "<p>\n", "<b>Task 2.2:</b>\n", "\n", - "Copy the code above below and modify it to replace the Dirichlet condition at the right BC for a Neumann condition such that there $\\frac{dT}{dx}=0$. Approximate the Neuman boundary $\\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy. \n", - "\n", - "How does the temperature profile changes? \n", - "\n", - "**Remember to change the title of the plot to indicate that now the BC is of the Neumann type**\n", + "This task will adapt the problem from 2.1 to incorporate Neumann boundary conditions in three steps: a) writing the new matrix by hand, b) adapting the code from 2.1c, c) reflecting on what this represents physically.\n", "\n", "</p>\n", "</div>" ] }, + { + "cell_type": "markdown", + "id": "61ada855", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2a:</b>\n", + "\n", + "Write the system of equations by hand for a grid with 6 points, incorporating the Neumann condition.\n", + "\n", + "Approximate the Neuman boundary $\\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy.\n", + "\n", + "<em>Write your answer by hand using paper/tablet and include the image below.</em>\n", + " \n" + ] + }, { "cell_type": "markdown", "id": "f89b7b33", @@ -732,6 +752,25 @@ "$$" ] }, + { + "cell_type": "markdown", + "id": "83fd993f", + "metadata": {}, + "source": [ + "\n", + "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2b:</b>\n", + "\n", + "Now adapt the code from Task 2.1c and revise it to incorporate the Neumann boundary condition.\n", + "\n", + "<em>Copy and past the code from 2.1c below, then modify it.</em>\n", + "\n", + "</p>\n", + "</div>" + ] + }, { "cell_type": "code", "execution_count": 5, @@ -780,13 +819,14 @@ "A[np.arange(n-3), np.arange(1, n-2)] = 1 # Upper diagonal\n", "A[np.arange(1, n-2), np.arange(n-3)] = 1 # Lower diagonal\n", " \n", - "A[-1,-1] = -(1+dx**2*alpha) #the lower right corner of the matrix changes\n", + "A[-1,-1] = -(1+dx**2*alpha) # the lower right corner of the matrix changes\n", " \n", "# Building vector b\n", "b_element = -dx**2*alpha*Ts\n", "b = np.zeros(len(x)-2) + b_element\n", "b[0] = b[0] - T[0]\n", - "b[-1] = b[-1] #the vector b also changes\n", + "b[-1] = b[-1] # the vector b also changes\n", + "# the line above does nothing but kept here to help compare to previous step\n", " \n", "# Solving the system\n", "\n", @@ -805,7 +845,38 @@ }, { "cell_type": "markdown", - "id": "ac255017", + "id": "60529b3b", + "metadata": {}, + "source": [ + "\n", + "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2c:</b>\n", + "\n", + "Reflect on the difference between the problem solved in Task 2.1 in comparison to 2.2. How are we changing the physics of the problem being solved by changing the boundary condition? What does this mean in reality for the temperature distribution in the bar over time?\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "943b7e16", + "metadata": {}, + "source": [ + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<p>\n", + "\n", + "We have changed the boundaries from a temperature to the derivative of the temperature (with respect to space). This is like changing it from a constant temperature at the edges to a of heat going in or out of the system at one of the edges. In this case since the gradient is 0 it represents a perfectly insulated system. Think of it like a really good portable cooler keeping your beverages cold at the beach on a hot day.\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "c51ef76a", "metadata": {}, "source": [ "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", @@ -813,12 +884,14 @@ "<b>Task 2.3:</b>\n", "\n", "Just as we did in Task 2.1, this task has three parts: a) discretize the analytic expression into a system of equations using <b>forward differences</b>, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.\n", + "\n", + "Here we focus on <b>Dirichlet</b> conditions again.\n", "</div> \n" ] }, { "cell_type": "markdown", - "id": "104690ed", + "id": "cf78136a", "metadata": {}, "source": [ "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", @@ -836,7 +909,7 @@ "id": "74174f3a", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", "Forward difference for second order differential equation:\n", "\n", @@ -937,7 +1010,7 @@ "\\end{bmatrix}\n", "=\n", "\\begin{bmatrix}\n", - "-\\alpha Ts \\Delta x^2 -T_0\\\\\n", + "-\\alpha Ts \\Delta x^2 - (1-\\alpha \\Delta x^2)T_0\\\\\n", "-\\alpha Ts \\Delta x^2 \\\\\n", "-\\alpha Ts \\Delta x^2\\\\\n", "-\\alpha Ts \\Delta x^2 -T_5\n", @@ -1017,11 +1090,11 @@ "T[-1] = Ts\n", "\n", "# Building matrix A\n", - "matrix_element = 1-alpha*dx**2 # The matrix element changes \n", + "matrix_element = 1-alpha*dx**2 # The matrix element changes (from CD)\n", "A = np.zeros((len(x)-2,len(x)-2))\n", - "np.fill_diagonal(A, -2)\n", + "np.fill_diagonal(A, -2) # different from CD \n", "A[np.arange(n-3), np.arange(1, n-2)] = 1 # Upper diagonal\n", - "A[np.arange(1, n-2), np.arange(n-3)] = matrix_element # Lower diagonal\n", + "A[np.arange(1, n-2), np.arange(n-3)] = matrix_element # Lower d.: different from CD\n", "print(A)\n", "\n", "# Building vector b\n", @@ -1069,7 +1142,7 @@ "id": "7ef65db5", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p>\n", " \n", "You can test this above make the temperature the same at x=0.02\n", @@ -1191,7 +1264,7 @@ "id": "5d5b9189", "metadata": {}, "source": [ - "<div style=\"background-color:#facb8e; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<div style=\"background-color:#FAE99E; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", "<p> Answer\n", "<p>\n", " \n", diff --git a/src/teachers/Week_1_6/WS_1_6_time_to_c_ode.html b/src/teachers/Week_1_6/WS_1_6_time_to_c_ode.html new file mode 100644 index 0000000000000000000000000000000000000000..261fe0171bd9a0e629cd608dc3ce7970a1f015f8 --- /dev/null +++ b/src/teachers/Week_1_6/WS_1_6_time_to_c_ode.html @@ -0,0 +1,8398 @@ +<!DOCTYPE html> + +<html lang="en"> +<head><meta charset="utf-8"/> +<meta content="width=device-width, initial-scale=1.0" name="viewport"/> +<title>WS_1_6_time_to_c_ode</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script><script> +(function() { + function addWidgetsRenderer() { + var mimeElement = document.querySelector('script[type="application/vnd.jupyter.widget-view+json"]'); 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under the terms of the Modified BSD License. + */ + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Copyright (c) 2014-2017, PhosphorJS Contributors +| +| Distributed under the terms of the BSD 3-Clause License. +| +| The full license is in the file LICENSE, distributed with this software. +|----------------------------------------------------------------------------*/ + +.lm-TabPanel-tabBar { + z-index: 1; +} + +.lm-TabPanel-stackedPanel { + z-index: 0; +} + +/* + * Copyright (c) Jupyter Development Team. + * Distributed under the terms of the Modified BSD License. + */ + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Copyright (c) 2014-2017, PhosphorJS Contributors +| +| Distributed under the terms of the BSD 3-Clause License. +| +| The full license is in the file LICENSE, distributed with this software. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-Collapse { + display: flex; + flex-direction: column; + align-items: stretch; +} + +.jp-Collapse-header { + padding: 1px 12px; + background-color: var(--jp-layout-color1); + border-bottom: solid var(--jp-border-width) var(--jp-border-color2); + color: var(--jp-ui-font-color1); + cursor: pointer; + display: flex; + align-items: center; + font-size: var(--jp-ui-font-size0); + font-weight: 600; + text-transform: uppercase; + user-select: none; +} + +.jp-Collapser-icon { + height: 16px; +} + +.jp-Collapse-header-collapsed .jp-Collapser-icon { + transform: rotate(-90deg); + margin: auto 0; +} + +.jp-Collapser-title { + line-height: 25px; +} + +.jp-Collapse-contents { + padding: 0 12px; + background-color: var(--jp-layout-color1); + color: var(--jp-ui-font-color1); + overflow: auto; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/* This file was auto-generated by ensureUiComponents() in @jupyterlab/buildutils */ + +/** + * (DEPRECATED) Support for consuming icons as CSS background images + */ + +/* Icons urls */ + +:root { + --jp-icon-add-above: 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+ --jp-icon-add-below: url(data:image/svg+xml;base64,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); + --jp-icon-add: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE5IDEzaC02djZoLTJ2LTZINXYtMmg2VjVoMnY2aDZ2MnoiLz4KICA8L2c+Cjwvc3ZnPgo=); + --jp-icon-bell: url(data:image/svg+xml;base64,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); + --jp-icon-bug-dot: url(data:image/svg+xml;base64,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); + --jp-icon-bug: url(data:image/svg+xml;base64,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); + --jp-icon-build: 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+ --jp-icon-notebook: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtbm90ZWJvb2staWNvbi1jb2xvciBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiNFRjZDMDAiPgogICAgPHBhdGggZD0iTTE4LjcgMy4zdjE1LjRIMy4zVjMuM2gxNS40bTEuNS0xLjVIMS44djE4LjNoMTguM2wuMS0xOC4zeiIvPgogICAgPHBhdGggZD0iTTE2LjUgMTYuNWwtNS40LTQuMy01LjYgNC4zdi0xMWgxMXoiLz4KICA8L2c+Cjwvc3ZnPgo=); + --jp-icon-numbering: url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMjIiIGhlaWdodD0iMjIiIHZpZXdCb3g9IjAgMCAyOCAyOCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CgkJPHBhdGggZD0iTTQgMTlINlYxOS41SDVWMjAuNUg2VjIxSDRWMjJIN1YxOEg0VjE5Wk01IDEwSDZWNkg0VjdINVYxMFpNNCAxM0g1LjhMNCAxNS4xVjE2SDdWMTVINS4yTDcgMTIuOVYxMkg0VjEzWk05IDdWOUgyM1Y3SDlaTTkgMjFIMjNWMTlIOVYyMVpNOSAxNUgyM1YxM0g5VjE1WiIvPgoJPC9nPgo8L3N2Zz4K); + --jp-icon-offline-bolt: 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+ --jp-icon-paste: url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTE5IDJoLTQuMThDMTQuNC44NCAxMy4zIDAgMTIgMGMtMS4zIDAtMi40Ljg0LTIuODIgMkg1Yy0xLjEgMC0yIC45LTIgMnYxNmMwIDEuMS45IDIgMiAyaDE0YzEuMSAwIDItLjkgMi0yVjRjMC0xLjEtLjktMi0yLTJ6bS03IDBjLjU1IDAgMSAuNDUgMSAxcy0uNDUgMS0xIDEtMS0uNDUtMS0xIC40NS0xIDEtMXptNyAxOEg1VjRoMnYzaDEwVjRoMnYxNnoiLz4KICAgIDwvZz4KPC9zdmc+Cg==); + --jp-icon-pdf: 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+ --jp-icon-python: 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+ --jp-icon-r-kernel: url(data:image/svg+xml;base64,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); + --jp-icon-react: 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url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTkgMTMuNWMtMi40OSAwLTQuNS0yLjAxLTQuNS00LjVTNi41MSA0LjUgOSA0LjVjMS4yNCAwIDIuMzYuNTIgMy4xNyAxLjMzTDEwIDhoNVYzbC0xLjc2IDEuNzZDMTIuMTUgMy42OCAxMC42NiAzIDkgMyA1LjY5IDMgMy4wMSA1LjY5IDMuMDEgOVM1LjY5IDE1IDkgMTVjMi45NyAwIDUuNDMtMi4xNiA1LjktNWgtMS41MmMtLjQ2IDItMi4yNCAzLjUtNC4zOCAzLjV6Ii8+CiAgICA8L2c+Cjwvc3ZnPgo=); + --jp-icon-regex: url(data:image/svg+xml;base64,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); + --jp-icon-run: 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+ --jp-icon-text-editor: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtdGV4dC1lZGl0b3ItaWNvbi1jb2xvciBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiM2MTYxNjEiIGQ9Ik0xNSAxNUgzdjJoMTJ2LTJ6bTAtOEgzdjJoMTJWN3pNMyAxM2gxOHYtMkgzdjJ6bTAgOGgxOHYtMkgzdjJ6TTMgM3YyaDE4VjNIM3oiLz4KPC9zdmc+Cg==); + --jp-icon-toc: url(data:image/svg+xml;base64,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); + --jp-icon-tree-view: url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPgogICAgICAgIDxwYXRoIGQ9Ik0yMiAxMVYzaC03djNIOVYzSDJ2OGg3VjhoMnYxMGg0djNoN3YtOGgtN3YzaC0yVjhoMnYzeiIvPgogICAgPC9nPgo8L3N2Zz4K); + --jp-icon-trusted: url(data:image/svg+xml;base64,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); + --jp-icon-undo: url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEyLjUgOGMtMi42NSAwLTUuMDUuOTktNi45IDIuNkwyIDd2OWg5bC0zLjYyLTMuNjJjMS4zOS0xLjE2IDMuMTYtMS44OCA1LjEyLTEuODggMy41NCAwIDYuNTUgMi4zMSA3LjYgNS41bDIuMzctLjc4QzIxLjA4IDExLjAzIDE3LjE1IDggMTIuNSA4eiIvPgogIDwvZz4KPC9zdmc+Cg==); + --jp-icon-user: url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTYiIHZpZXdCb3g9IjAgMCAyNCAyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE2IDdhNCA0IDAgMTEtOCAwIDQgNCAwIDAxOCAwek0xMiAxNGE3IDcgMCAwMC03IDdoMTRhNyA3IDAgMDAtNy03eiIvPgogIDwvZz4KPC9zdmc+Cg==); + --jp-icon-users: url(data:image/svg+xml;base64,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); + --jp-icon-vega: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtaWNvbjEganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjMjEyMTIxIj4KICAgIDxwYXRoIGQ9Ik0xMC42IDUuNGwyLjItMy4ySDIuMnY3LjNsNC02LjZ6Ii8+CiAgICA8cGF0aCBkPSJNMTUuOCAyLjJsLTQuNCA2LjZMNyA2LjNsLTQuOCA4djUuNWgxNy42VjIuMmgtNHptLTcgMTUuNEg1LjV2LTQuNGgzLjN2NC40em00LjQgMEg5LjhWOS44aDMuNHY3Ljh6bTQuNCAwaC0zLjRWNi41aDMuNHYxMS4xeiIvPgogIDwvZz4KPC9zdmc+Cg==); + --jp-icon-word: url(data:image/svg+xml;base64,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); + --jp-icon-yaml: url(data:image/svg+xml;base64,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); +} + +/* Icon CSS class declarations */ + +.jp-AddAboveIcon { + background-image: var(--jp-icon-add-above); +} + +.jp-AddBelowIcon { + background-image: var(--jp-icon-add-below); +} + +.jp-AddIcon { + background-image: var(--jp-icon-add); +} + +.jp-BellIcon { + background-image: var(--jp-icon-bell); +} + +.jp-BugDotIcon { + background-image: var(--jp-icon-bug-dot); +} + +.jp-BugIcon { + background-image: var(--jp-icon-bug); +} + +.jp-BuildIcon { + background-image: var(--jp-icon-build); +} + +.jp-CaretDownEmptyIcon { + background-image: var(--jp-icon-caret-down-empty); +} + +.jp-CaretDownEmptyThinIcon { + background-image: var(--jp-icon-caret-down-empty-thin); +} + +.jp-CaretDownIcon { + background-image: var(--jp-icon-caret-down); +} + +.jp-CaretLeftIcon { + background-image: var(--jp-icon-caret-left); +} + +.jp-CaretRightIcon { + background-image: var(--jp-icon-caret-right); +} + +.jp-CaretUpEmptyThinIcon { + background-image: var(--jp-icon-caret-up-empty-thin); +} + +.jp-CaretUpIcon { + background-image: var(--jp-icon-caret-up); +} + +.jp-CaseSensitiveIcon { + background-image: var(--jp-icon-case-sensitive); +} + +.jp-CheckIcon { + background-image: var(--jp-icon-check); +} + +.jp-CircleEmptyIcon { + background-image: var(--jp-icon-circle-empty); +} + +.jp-CircleIcon { + background-image: var(--jp-icon-circle); +} + +.jp-ClearIcon { + background-image: var(--jp-icon-clear); +} + +.jp-CloseIcon { + background-image: var(--jp-icon-close); +} + +.jp-CodeCheckIcon { + background-image: var(--jp-icon-code-check); +} + +.jp-CodeIcon { + background-image: var(--jp-icon-code); +} + +.jp-CollapseAllIcon { + background-image: var(--jp-icon-collapse-all); +} + +.jp-ConsoleIcon { + background-image: var(--jp-icon-console); +} + +.jp-CopyIcon { + background-image: var(--jp-icon-copy); +} + +.jp-CopyrightIcon { + background-image: var(--jp-icon-copyright); +} + +.jp-CutIcon { + background-image: var(--jp-icon-cut); +} + +.jp-DeleteIcon { + background-image: var(--jp-icon-delete); +} + +.jp-DownloadIcon { + background-image: var(--jp-icon-download); +} + +.jp-DuplicateIcon { + background-image: var(--jp-icon-duplicate); +} + +.jp-EditIcon { + background-image: var(--jp-icon-edit); +} + +.jp-EllipsesIcon { + background-image: var(--jp-icon-ellipses); +} + +.jp-ErrorIcon { + background-image: var(--jp-icon-error); +} + +.jp-ExpandAllIcon { + background-image: var(--jp-icon-expand-all); +} + +.jp-ExtensionIcon { + background-image: var(--jp-icon-extension); +} + +.jp-FastForwardIcon { + background-image: var(--jp-icon-fast-forward); +} + +.jp-FileIcon { + background-image: var(--jp-icon-file); +} + +.jp-FileUploadIcon { + background-image: var(--jp-icon-file-upload); +} + +.jp-FilterDotIcon { + background-image: var(--jp-icon-filter-dot); +} + +.jp-FilterIcon { + background-image: var(--jp-icon-filter); +} + +.jp-FilterListIcon { + background-image: var(--jp-icon-filter-list); +} + +.jp-FolderFavoriteIcon { + background-image: var(--jp-icon-folder-favorite); +} + +.jp-FolderIcon { + background-image: var(--jp-icon-folder); +} + +.jp-HomeIcon { + background-image: var(--jp-icon-home); +} + +.jp-Html5Icon { + background-image: var(--jp-icon-html5); +} + +.jp-ImageIcon { + background-image: var(--jp-icon-image); +} + +.jp-InfoIcon { + background-image: var(--jp-icon-info); +} + +.jp-InspectorIcon { + background-image: var(--jp-icon-inspector); +} + +.jp-JsonIcon { + background-image: var(--jp-icon-json); +} + +.jp-JuliaIcon { + background-image: var(--jp-icon-julia); +} + +.jp-JupyterFaviconIcon { + background-image: var(--jp-icon-jupyter-favicon); +} + +.jp-JupyterIcon { + background-image: var(--jp-icon-jupyter); +} + +.jp-JupyterlabWordmarkIcon { + background-image: var(--jp-icon-jupyterlab-wordmark); +} + +.jp-KernelIcon { + background-image: var(--jp-icon-kernel); +} + +.jp-KeyboardIcon { + background-image: var(--jp-icon-keyboard); +} + +.jp-LaunchIcon { + background-image: var(--jp-icon-launch); +} + +.jp-LauncherIcon { + background-image: var(--jp-icon-launcher); +} + +.jp-LineFormIcon { + background-image: var(--jp-icon-line-form); +} + +.jp-LinkIcon { + background-image: var(--jp-icon-link); +} + +.jp-ListIcon { + background-image: var(--jp-icon-list); +} + +.jp-MarkdownIcon { + background-image: var(--jp-icon-markdown); +} + +.jp-MoveDownIcon { + background-image: var(--jp-icon-move-down); +} + +.jp-MoveUpIcon { + background-image: var(--jp-icon-move-up); +} + +.jp-NewFolderIcon { + background-image: var(--jp-icon-new-folder); +} + +.jp-NotTrustedIcon { + background-image: var(--jp-icon-not-trusted); +} + +.jp-NotebookIcon { + background-image: var(--jp-icon-notebook); +} + +.jp-NumberingIcon { + background-image: var(--jp-icon-numbering); +} + +.jp-OfflineBoltIcon { + background-image: var(--jp-icon-offline-bolt); +} + +.jp-PaletteIcon { + background-image: var(--jp-icon-palette); +} + +.jp-PasteIcon { + background-image: var(--jp-icon-paste); +} + +.jp-PdfIcon { + background-image: var(--jp-icon-pdf); +} + +.jp-PythonIcon { + background-image: var(--jp-icon-python); +} + +.jp-RKernelIcon { + background-image: var(--jp-icon-r-kernel); +} + +.jp-ReactIcon { + background-image: var(--jp-icon-react); +} + +.jp-RedoIcon { + background-image: var(--jp-icon-redo); +} + +.jp-RefreshIcon { + background-image: var(--jp-icon-refresh); +} + +.jp-RegexIcon { + background-image: var(--jp-icon-regex); +} + +.jp-RunIcon { + background-image: var(--jp-icon-run); +} + +.jp-RunningIcon { + background-image: var(--jp-icon-running); +} + +.jp-SaveIcon { + background-image: var(--jp-icon-save); +} + +.jp-SearchIcon { + background-image: var(--jp-icon-search); +} + +.jp-SettingsIcon { + background-image: var(--jp-icon-settings); +} + +.jp-ShareIcon { + background-image: var(--jp-icon-share); +} + +.jp-SpreadsheetIcon { + background-image: var(--jp-icon-spreadsheet); +} + +.jp-StopIcon { + background-image: var(--jp-icon-stop); +} + +.jp-TabIcon { + background-image: var(--jp-icon-tab); +} + +.jp-TableRowsIcon { + background-image: var(--jp-icon-table-rows); +} + +.jp-TagIcon { + background-image: var(--jp-icon-tag); +} + +.jp-TerminalIcon { + background-image: var(--jp-icon-terminal); +} + +.jp-TextEditorIcon { + background-image: var(--jp-icon-text-editor); +} + +.jp-TocIcon { + background-image: var(--jp-icon-toc); +} + +.jp-TreeViewIcon { + background-image: var(--jp-icon-tree-view); +} + +.jp-TrustedIcon { + background-image: var(--jp-icon-trusted); +} + +.jp-UndoIcon { + background-image: var(--jp-icon-undo); +} + +.jp-UserIcon { + background-image: var(--jp-icon-user); +} + +.jp-UsersIcon { + background-image: var(--jp-icon-users); +} + +.jp-VegaIcon { + background-image: var(--jp-icon-vega); +} + +.jp-WordIcon { + background-image: var(--jp-icon-word); +} + +.jp-YamlIcon { + background-image: var(--jp-icon-yaml); +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/** + * (DEPRECATED) Support for consuming icons as CSS background images + */ + +.jp-Icon, +.jp-MaterialIcon { + background-position: center; + background-repeat: no-repeat; + background-size: 16px; + min-width: 16px; + min-height: 16px; +} + +.jp-Icon-cover { + background-position: center; + background-repeat: no-repeat; + background-size: cover; +} + +/** + * (DEPRECATED) Support for specific CSS icon sizes + */ + +.jp-Icon-16 { + background-size: 16px; + min-width: 16px; + min-height: 16px; +} + +.jp-Icon-18 { + background-size: 18px; + min-width: 18px; + min-height: 18px; +} + +.jp-Icon-20 { + background-size: 20px; + min-width: 20px; + min-height: 20px; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.lm-TabBar .lm-TabBar-addButton { + align-items: center; + display: flex; + padding: 4px; + padding-bottom: 5px; + margin-right: 1px; + background-color: var(--jp-layout-color2); +} + +.lm-TabBar .lm-TabBar-addButton:hover { + background-color: var(--jp-layout-color1); +} + +.lm-DockPanel-tabBar .lm-TabBar-tab { + width: var(--jp-private-horizontal-tab-width); +} + +.lm-DockPanel-tabBar .lm-TabBar-content { + flex: unset; +} + +.lm-DockPanel-tabBar[data-orientation='horizontal'] { + flex: 1 1 auto; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/** + * Support for icons as inline SVG HTMLElements + */ + +/* recolor the primary elements of an icon */ +.jp-icon0[fill] { + fill: var(--jp-inverse-layout-color0); +} + +.jp-icon1[fill] { + fill: var(--jp-inverse-layout-color1); +} + +.jp-icon2[fill] { + fill: var(--jp-inverse-layout-color2); +} + +.jp-icon3[fill] { + fill: var(--jp-inverse-layout-color3); +} + +.jp-icon4[fill] { + fill: var(--jp-inverse-layout-color4); +} + +.jp-icon0[stroke] { + stroke: var(--jp-inverse-layout-color0); +} + +.jp-icon1[stroke] { + stroke: var(--jp-inverse-layout-color1); +} + +.jp-icon2[stroke] { + stroke: var(--jp-inverse-layout-color2); +} + +.jp-icon3[stroke] { + stroke: var(--jp-inverse-layout-color3); +} + +.jp-icon4[stroke] { + stroke: var(--jp-inverse-layout-color4); +} + +/* recolor the accent elements of an icon */ +.jp-icon-accent0[fill] { + fill: var(--jp-layout-color0); +} + +.jp-icon-accent1[fill] { + fill: var(--jp-layout-color1); +} + +.jp-icon-accent2[fill] { + fill: var(--jp-layout-color2); +} + +.jp-icon-accent3[fill] { + fill: var(--jp-layout-color3); +} + +.jp-icon-accent4[fill] { + fill: var(--jp-layout-color4); +} + +.jp-icon-accent0[stroke] { + stroke: var(--jp-layout-color0); +} + +.jp-icon-accent1[stroke] { + stroke: var(--jp-layout-color1); +} + +.jp-icon-accent2[stroke] { + stroke: var(--jp-layout-color2); +} + +.jp-icon-accent3[stroke] { + stroke: var(--jp-layout-color3); +} + +.jp-icon-accent4[stroke] { + stroke: var(--jp-layout-color4); +} + +/* set the color of an icon to transparent */ +.jp-icon-none[fill] { + fill: none; +} + +.jp-icon-none[stroke] { + stroke: none; +} + +/* brand icon colors. Same for light and dark */ +.jp-icon-brand0[fill] { + fill: var(--jp-brand-color0); +} + +.jp-icon-brand1[fill] { + fill: var(--jp-brand-color1); +} + +.jp-icon-brand2[fill] { + fill: var(--jp-brand-color2); +} + +.jp-icon-brand3[fill] { + fill: var(--jp-brand-color3); +} + +.jp-icon-brand4[fill] { + fill: var(--jp-brand-color4); +} + +.jp-icon-brand0[stroke] { + stroke: var(--jp-brand-color0); +} + +.jp-icon-brand1[stroke] { + stroke: var(--jp-brand-color1); +} + +.jp-icon-brand2[stroke] { + stroke: var(--jp-brand-color2); +} + +.jp-icon-brand3[stroke] { + stroke: var(--jp-brand-color3); +} + +.jp-icon-brand4[stroke] { + stroke: var(--jp-brand-color4); +} + +/* warn icon colors. Same for light and dark */ +.jp-icon-warn0[fill] { + fill: var(--jp-warn-color0); +} + +.jp-icon-warn1[fill] { + fill: var(--jp-warn-color1); +} + +.jp-icon-warn2[fill] { + fill: var(--jp-warn-color2); +} + +.jp-icon-warn3[fill] { + fill: var(--jp-warn-color3); +} + +.jp-icon-warn0[stroke] { + stroke: var(--jp-warn-color0); +} + +.jp-icon-warn1[stroke] { + stroke: var(--jp-warn-color1); +} + +.jp-icon-warn2[stroke] { + stroke: var(--jp-warn-color2); +} + +.jp-icon-warn3[stroke] { + stroke: var(--jp-warn-color3); +} + +/* icon colors that contrast well with each other and most backgrounds */ +.jp-icon-contrast0[fill] { + fill: var(--jp-icon-contrast-color0); +} + +.jp-icon-contrast1[fill] { + fill: var(--jp-icon-contrast-color1); +} + +.jp-icon-contrast2[fill] { + fill: var(--jp-icon-contrast-color2); +} + +.jp-icon-contrast3[fill] { + fill: var(--jp-icon-contrast-color3); +} + +.jp-icon-contrast0[stroke] { + stroke: var(--jp-icon-contrast-color0); +} + +.jp-icon-contrast1[stroke] { + stroke: var(--jp-icon-contrast-color1); +} + +.jp-icon-contrast2[stroke] { + stroke: var(--jp-icon-contrast-color2); +} + +.jp-icon-contrast3[stroke] { + stroke: var(--jp-icon-contrast-color3); +} + +.jp-icon-dot[fill] { + fill: var(--jp-warn-color0); +} + +.jp-jupyter-icon-color[fill] { + fill: var(--jp-jupyter-icon-color, var(--jp-warn-color0)); +} + +.jp-notebook-icon-color[fill] { + fill: var(--jp-notebook-icon-color, var(--jp-warn-color0)); +} + +.jp-json-icon-color[fill] { + fill: var(--jp-json-icon-color, var(--jp-warn-color1)); +} + +.jp-console-icon-color[fill] { + fill: var(--jp-console-icon-color, white); +} + +.jp-console-icon-background-color[fill] { + fill: var(--jp-console-icon-background-color, var(--jp-brand-color1)); +} + +.jp-terminal-icon-color[fill] { + fill: var(--jp-terminal-icon-color, var(--jp-layout-color2)); +} + +.jp-terminal-icon-background-color[fill] { + fill: var( + --jp-terminal-icon-background-color, + var(--jp-inverse-layout-color2) + ); +} + +.jp-text-editor-icon-color[fill] { + fill: var(--jp-text-editor-icon-color, var(--jp-inverse-layout-color3)); +} + +.jp-inspector-icon-color[fill] { + fill: var(--jp-inspector-icon-color, var(--jp-inverse-layout-color3)); +} + +/* CSS for icons in selected filebrowser listing items */ +.jp-DirListing-item.jp-mod-selected .jp-icon-selectable[fill] { + fill: #fff; +} + +.jp-DirListing-item.jp-mod-selected .jp-icon-selectable-inverse[fill] { + fill: var(--jp-brand-color1); +} + +/* stylelint-disable selector-max-class, selector-max-compound-selectors */ + +/** +* TODO: come up with non css-hack solution for showing the busy icon on top +* of the close icon +* CSS for complex behavior of close icon of tabs in the main area tabbar +*/ +.lm-DockPanel-tabBar + .lm-TabBar-tab.lm-mod-closable.jp-mod-dirty + > .lm-TabBar-tabCloseIcon + > :not(:hover) + > .jp-icon3[fill] { + fill: none; +} + +.lm-DockPanel-tabBar + .lm-TabBar-tab.lm-mod-closable.jp-mod-dirty + > .lm-TabBar-tabCloseIcon + > :not(:hover) + > .jp-icon-busy[fill] { + fill: var(--jp-inverse-layout-color3); +} + +/* stylelint-enable selector-max-class, selector-max-compound-selectors */ + +/* CSS for icons in status bar */ +#jp-main-statusbar .jp-mod-selected .jp-icon-selectable[fill] { + fill: #fff; +} + +#jp-main-statusbar .jp-mod-selected .jp-icon-selectable-inverse[fill] { + fill: var(--jp-brand-color1); +} + +/* special handling for splash icon CSS. While the theme CSS reloads during + splash, the splash icon can loose theming. To prevent that, we set a + default for its color variable */ +:root { + --jp-warn-color0: var(--md-orange-700); +} + +/* not sure what to do with this one, used in filebrowser listing */ +.jp-DragIcon { + margin-right: 4px; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/** + * Support for alt colors for icons as inline SVG HTMLElements + */ + +/* alt recolor the primary elements of an icon */ +.jp-icon-alt .jp-icon0[fill] { + fill: var(--jp-layout-color0); +} + +.jp-icon-alt .jp-icon1[fill] { + fill: var(--jp-layout-color1); +} + +.jp-icon-alt .jp-icon2[fill] { + fill: var(--jp-layout-color2); +} + +.jp-icon-alt .jp-icon3[fill] { + fill: var(--jp-layout-color3); +} + +.jp-icon-alt .jp-icon4[fill] { + fill: var(--jp-layout-color4); +} + +.jp-icon-alt .jp-icon0[stroke] { + stroke: var(--jp-layout-color0); +} + +.jp-icon-alt .jp-icon1[stroke] { + stroke: var(--jp-layout-color1); +} + +.jp-icon-alt .jp-icon2[stroke] { + stroke: var(--jp-layout-color2); +} + +.jp-icon-alt .jp-icon3[stroke] { + stroke: var(--jp-layout-color3); +} + +.jp-icon-alt .jp-icon4[stroke] { + stroke: var(--jp-layout-color4); +} + +/* alt recolor the accent elements of an icon */ +.jp-icon-alt .jp-icon-accent0[fill] { + fill: var(--jp-inverse-layout-color0); +} + +.jp-icon-alt .jp-icon-accent1[fill] { + fill: var(--jp-inverse-layout-color1); +} + +.jp-icon-alt .jp-icon-accent2[fill] { + fill: var(--jp-inverse-layout-color2); +} + +.jp-icon-alt .jp-icon-accent3[fill] { + fill: var(--jp-inverse-layout-color3); +} + +.jp-icon-alt .jp-icon-accent4[fill] { + fill: var(--jp-inverse-layout-color4); +} + +.jp-icon-alt .jp-icon-accent0[stroke] { + stroke: var(--jp-inverse-layout-color0); +} + +.jp-icon-alt .jp-icon-accent1[stroke] { + stroke: var(--jp-inverse-layout-color1); +} + +.jp-icon-alt .jp-icon-accent2[stroke] { + stroke: var(--jp-inverse-layout-color2); +} + +.jp-icon-alt .jp-icon-accent3[stroke] { + stroke: var(--jp-inverse-layout-color3); +} + +.jp-icon-alt .jp-icon-accent4[stroke] { + stroke: var(--jp-inverse-layout-color4); +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-icon-hoverShow:not(:hover) .jp-icon-hoverShow-content { + display: none !important; +} + +/** + * Support for hover colors for icons as inline SVG HTMLElements + */ + +/** + * regular colors + */ + +/* recolor the primary elements of an icon */ +.jp-icon-hover :hover .jp-icon0-hover[fill] { + fill: var(--jp-inverse-layout-color0); +} + +.jp-icon-hover :hover .jp-icon1-hover[fill] { + fill: var(--jp-inverse-layout-color1); +} + +.jp-icon-hover :hover .jp-icon2-hover[fill] { + fill: var(--jp-inverse-layout-color2); +} + +.jp-icon-hover :hover .jp-icon3-hover[fill] { + fill: var(--jp-inverse-layout-color3); +} + +.jp-icon-hover :hover .jp-icon4-hover[fill] { + fill: var(--jp-inverse-layout-color4); +} + +.jp-icon-hover :hover .jp-icon0-hover[stroke] { + stroke: var(--jp-inverse-layout-color0); +} + +.jp-icon-hover :hover .jp-icon1-hover[stroke] { + stroke: var(--jp-inverse-layout-color1); +} + +.jp-icon-hover :hover .jp-icon2-hover[stroke] { + stroke: var(--jp-inverse-layout-color2); +} + +.jp-icon-hover :hover .jp-icon3-hover[stroke] { + stroke: var(--jp-inverse-layout-color3); +} + +.jp-icon-hover :hover .jp-icon4-hover[stroke] { + stroke: var(--jp-inverse-layout-color4); +} + +/* recolor the accent elements of an icon */ +.jp-icon-hover :hover .jp-icon-accent0-hover[fill] { + fill: var(--jp-layout-color0); +} + +.jp-icon-hover :hover .jp-icon-accent1-hover[fill] { + fill: var(--jp-layout-color1); +} + +.jp-icon-hover :hover .jp-icon-accent2-hover[fill] { + fill: var(--jp-layout-color2); +} + +.jp-icon-hover :hover .jp-icon-accent3-hover[fill] { + fill: var(--jp-layout-color3); +} + +.jp-icon-hover :hover .jp-icon-accent4-hover[fill] { + fill: var(--jp-layout-color4); +} + +.jp-icon-hover :hover .jp-icon-accent0-hover[stroke] { + stroke: var(--jp-layout-color0); +} + +.jp-icon-hover :hover .jp-icon-accent1-hover[stroke] { + stroke: var(--jp-layout-color1); +} + +.jp-icon-hover :hover .jp-icon-accent2-hover[stroke] { + stroke: var(--jp-layout-color2); +} + +.jp-icon-hover :hover .jp-icon-accent3-hover[stroke] { + stroke: var(--jp-layout-color3); +} + +.jp-icon-hover :hover .jp-icon-accent4-hover[stroke] { + stroke: var(--jp-layout-color4); +} + +/* set the color of an icon to transparent */ +.jp-icon-hover :hover .jp-icon-none-hover[fill] { + fill: none; +} + +.jp-icon-hover :hover .jp-icon-none-hover[stroke] { + stroke: none; +} + +/** + * inverse colors + */ + +/* inverse recolor the primary elements of an icon */ +.jp-icon-hover.jp-icon-alt :hover .jp-icon0-hover[fill] { + fill: var(--jp-layout-color0); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon1-hover[fill] { + fill: var(--jp-layout-color1); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon2-hover[fill] { + fill: var(--jp-layout-color2); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon3-hover[fill] { + fill: var(--jp-layout-color3); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon4-hover[fill] { + fill: var(--jp-layout-color4); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon0-hover[stroke] { + stroke: var(--jp-layout-color0); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon1-hover[stroke] { + stroke: var(--jp-layout-color1); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon2-hover[stroke] { + stroke: var(--jp-layout-color2); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon3-hover[stroke] { + stroke: var(--jp-layout-color3); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon4-hover[stroke] { + stroke: var(--jp-layout-color4); +} + +/* inverse recolor the accent elements of an icon */ +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent0-hover[fill] { + fill: var(--jp-inverse-layout-color0); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent1-hover[fill] { + fill: var(--jp-inverse-layout-color1); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent2-hover[fill] { + fill: var(--jp-inverse-layout-color2); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent3-hover[fill] { + fill: var(--jp-inverse-layout-color3); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent4-hover[fill] { + fill: var(--jp-inverse-layout-color4); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent0-hover[stroke] { + stroke: var(--jp-inverse-layout-color0); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent1-hover[stroke] { + stroke: var(--jp-inverse-layout-color1); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent2-hover[stroke] { + stroke: var(--jp-inverse-layout-color2); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent3-hover[stroke] { + stroke: var(--jp-inverse-layout-color3); +} + +.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent4-hover[stroke] { + stroke: var(--jp-inverse-layout-color4); +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-IFrame { + width: 100%; + height: 100%; +} + +.jp-IFrame > iframe { + border: none; +} + +/* +When drag events occur, `lm-mod-override-cursor` is added to the body. +Because iframes steal all cursor events, the following two rules are necessary +to suppress pointer events while resize drags are occurring. There may be a +better solution to this problem. +*/ +body.lm-mod-override-cursor .jp-IFrame { + position: relative; +} + +body.lm-mod-override-cursor .jp-IFrame::before { + content: ''; + position: absolute; + top: 0; + left: 0; + right: 0; + bottom: 0; + background: transparent; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) 2014-2016, Jupyter Development Team. +| +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-HoverBox { + position: fixed; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-FormGroup-content fieldset { + border: none; + padding: 0; + min-width: 0; + width: 100%; +} + +/* stylelint-disable selector-max-type */ + +.jp-FormGroup-content fieldset .jp-inputFieldWrapper input, +.jp-FormGroup-content fieldset .jp-inputFieldWrapper select, +.jp-FormGroup-content fieldset .jp-inputFieldWrapper textarea { + font-size: var(--jp-content-font-size2); + border-color: var(--jp-input-border-color); + border-style: solid; + border-radius: var(--jp-border-radius); + border-width: 1px; + padding: 6px 8px; + background: none; + color: var(--jp-ui-font-color0); + height: inherit; +} + +.jp-FormGroup-content fieldset input[type='checkbox'] { + position: relative; + top: 2px; + margin-left: 0; +} + +.jp-FormGroup-content button.jp-mod-styled { + cursor: pointer; +} + +.jp-FormGroup-content .checkbox label { + cursor: pointer; + font-size: var(--jp-content-font-size1); +} + +.jp-FormGroup-content .jp-root > fieldset > legend { + display: none; +} + +.jp-FormGroup-content .jp-root > fieldset > p { + display: none; +} + +/** copy of `input.jp-mod-styled:focus` style */ +.jp-FormGroup-content fieldset input:focus, +.jp-FormGroup-content fieldset select:focus { + -moz-outline-radius: unset; + outline: var(--jp-border-width) solid var(--md-blue-500); + outline-offset: -1px; + box-shadow: inset 0 0 4px var(--md-blue-300); +} + +.jp-FormGroup-content fieldset input:hover:not(:focus), +.jp-FormGroup-content fieldset select:hover:not(:focus) { + background-color: var(--jp-border-color2); +} + +/* stylelint-enable selector-max-type */ + +.jp-FormGroup-content .checkbox .field-description { + /* Disable default description field for checkbox: + because other widgets do not have description fields, + we add descriptions to each widget on the field level. + */ + display: none; +} + +.jp-FormGroup-content #root__description { + display: none; +} + +.jp-FormGroup-content .jp-modifiedIndicator { + width: 5px; + background-color: var(--jp-brand-color2); + margin-top: 0; + margin-left: calc(var(--jp-private-settingeditor-modifier-indent) * -1); + flex-shrink: 0; +} + +.jp-FormGroup-content .jp-modifiedIndicator.jp-errorIndicator { + background-color: var(--jp-error-color0); + margin-right: 0.5em; +} + +/* RJSF ARRAY style */ + +.jp-arrayFieldWrapper legend { + font-size: var(--jp-content-font-size2); + color: var(--jp-ui-font-color0); + flex-basis: 100%; + padding: 4px 0; + font-weight: var(--jp-content-heading-font-weight); + border-bottom: 1px solid var(--jp-border-color2); +} + +.jp-arrayFieldWrapper .field-description { + padding: 4px 0; + white-space: pre-wrap; +} + +.jp-arrayFieldWrapper .array-item { + width: 100%; + border: 1px solid var(--jp-border-color2); + border-radius: 4px; + margin: 4px; +} + +.jp-ArrayOperations { + display: flex; + margin-left: 8px; +} + +.jp-ArrayOperationsButton { + margin: 2px; +} + +.jp-ArrayOperationsButton .jp-icon3[fill] { + fill: var(--jp-ui-font-color0); +} + +button.jp-ArrayOperationsButton.jp-mod-styled:disabled { + cursor: not-allowed; + opacity: 0.5; +} + +/* RJSF form validation error */ + +.jp-FormGroup-content .validationErrors { + color: var(--jp-error-color0); +} + +/* Hide panel level error as duplicated the field level error */ +.jp-FormGroup-content .panel.errors { + display: none; +} + +/* RJSF normal content (settings-editor) */ + +.jp-FormGroup-contentNormal { + display: flex; + align-items: center; + flex-wrap: wrap; +} + +.jp-FormGroup-contentNormal .jp-FormGroup-contentItem { + margin-left: 7px; + color: var(--jp-ui-font-color0); +} + +.jp-FormGroup-contentNormal .jp-FormGroup-description { + flex-basis: 100%; + padding: 4px 7px; +} + +.jp-FormGroup-contentNormal .jp-FormGroup-default { + flex-basis: 100%; + padding: 4px 7px; +} + +.jp-FormGroup-contentNormal .jp-FormGroup-fieldLabel { + font-size: var(--jp-content-font-size1); + font-weight: normal; + min-width: 120px; +} + +.jp-FormGroup-contentNormal fieldset:not(:first-child) { + margin-left: 7px; +} + +.jp-FormGroup-contentNormal .field-array-of-string .array-item { + /* Display `jp-ArrayOperations` buttons side-by-side with content except + for small screens where flex-wrap will place them one below the other. + */ + display: flex; + align-items: center; + flex-wrap: wrap; +} + +.jp-FormGroup-contentNormal .jp-objectFieldWrapper .form-group { + padding: 2px 8px 2px var(--jp-private-settingeditor-modifier-indent); + margin-top: 2px; +} + +/* RJSF compact content (metadata-form) */ + +.jp-FormGroup-content.jp-FormGroup-contentCompact { + width: 100%; +} + +.jp-FormGroup-contentCompact .form-group { + display: flex; + padding: 0.5em 0.2em 0.5em 0; +} + +.jp-FormGroup-contentCompact + .jp-FormGroup-compactTitle + .jp-FormGroup-description { + font-size: var(--jp-ui-font-size1); + color: var(--jp-ui-font-color2); +} + +.jp-FormGroup-contentCompact .jp-FormGroup-fieldLabel { + padding-bottom: 0.3em; +} + +.jp-FormGroup-contentCompact .jp-inputFieldWrapper .form-control { + width: 100%; + box-sizing: border-box; +} + +.jp-FormGroup-contentCompact .jp-arrayFieldWrapper .jp-FormGroup-compactTitle { + padding-bottom: 7px; +} + +.jp-FormGroup-contentCompact + .jp-objectFieldWrapper + .jp-objectFieldWrapper + .form-group { + padding: 2px 8px 2px var(--jp-private-settingeditor-modifier-indent); + margin-top: 2px; +} + +.jp-FormGroup-contentCompact ul.error-detail { + margin-block-start: 0.5em; + margin-block-end: 0.5em; + padding-inline-start: 1em; +} + +/* + * Copyright (c) Jupyter Development Team. + * Distributed under the terms of the Modified BSD License. + */ + +.jp-SidePanel { + display: flex; + flex-direction: column; + min-width: var(--jp-sidebar-min-width); + overflow-y: auto; + color: var(--jp-ui-font-color1); + background: var(--jp-layout-color1); + font-size: var(--jp-ui-font-size1); +} + +.jp-SidePanel-header { + flex: 0 0 auto; + display: flex; + border-bottom: var(--jp-border-width) solid var(--jp-border-color2); + font-size: var(--jp-ui-font-size0); + font-weight: 600; + letter-spacing: 1px; + margin: 0; + padding: 2px; + text-transform: uppercase; +} + +.jp-SidePanel-toolbar { + flex: 0 0 auto; +} + +.jp-SidePanel-content { + flex: 1 1 auto; +} + +.jp-SidePanel-toolbar, +.jp-AccordionPanel-toolbar { + height: var(--jp-private-toolbar-height); +} + +.jp-SidePanel-toolbar.jp-Toolbar-micro { + display: none; +} + +.lm-AccordionPanel .jp-AccordionPanel-title { + box-sizing: border-box; + line-height: 25px; + margin: 0; + display: flex; + align-items: center; + background: var(--jp-layout-color1); + color: var(--jp-ui-font-color1); + border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color); + box-shadow: var(--jp-toolbar-box-shadow); + font-size: var(--jp-ui-font-size0); +} + +.jp-AccordionPanel-title { + cursor: pointer; + user-select: none; + -moz-user-select: none; + -webkit-user-select: none; + text-transform: uppercase; +} + +.lm-AccordionPanel[data-orientation='horizontal'] > .jp-AccordionPanel-title { + /* Title is rotated for horizontal accordion panel using CSS */ + display: block; + transform-origin: top left; + transform: rotate(-90deg) translate(-100%); +} + +.jp-AccordionPanel-title .lm-AccordionPanel-titleLabel { + user-select: none; + text-overflow: ellipsis; + white-space: nowrap; + overflow: hidden; +} + +.jp-AccordionPanel-title .lm-AccordionPanel-titleCollapser { + transform: rotate(-90deg); + margin: auto 0; + height: 16px; +} + +.jp-AccordionPanel-title.lm-mod-expanded .lm-AccordionPanel-titleCollapser { + transform: rotate(0deg); +} + +.lm-AccordionPanel .jp-AccordionPanel-toolbar { + background: none; + box-shadow: none; + border: none; + margin-left: auto; +} + +.lm-AccordionPanel .lm-SplitPanel-handle:hover { + background: var(--jp-layout-color3); +} + +.jp-text-truncated { + overflow: hidden; + text-overflow: ellipsis; + white-space: nowrap; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) 2017, Jupyter Development Team. +| +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-Spinner { + position: absolute; + display: flex; + justify-content: center; + align-items: center; + z-index: 10; + left: 0; + top: 0; + width: 100%; + height: 100%; + background: var(--jp-layout-color0); + outline: none; +} + +.jp-SpinnerContent { + font-size: 10px; + margin: 50px auto; + text-indent: -9999em; + width: 3em; + height: 3em; + border-radius: 50%; + background: var(--jp-brand-color3); + background: linear-gradient( + to right, + #f37626 10%, + rgba(255, 255, 255, 0) 42% + ); + position: relative; + animation: load3 1s infinite linear, fadeIn 1s; +} + +.jp-SpinnerContent::before { + width: 50%; + height: 50%; + background: #f37626; + border-radius: 100% 0 0; + position: absolute; + top: 0; + left: 0; + content: ''; +} + +.jp-SpinnerContent::after { + background: var(--jp-layout-color0); + width: 75%; + height: 75%; + border-radius: 50%; + content: ''; + margin: auto; + position: absolute; + top: 0; + left: 0; + bottom: 0; + right: 0; +} + +@keyframes fadeIn { + 0% { + opacity: 0; + } + + 100% { + opacity: 1; + } +} + +@keyframes load3 { + 0% { + transform: rotate(0deg); + } + + 100% { + transform: rotate(360deg); + } +} + +/*----------------------------------------------------------------------------- +| Copyright (c) 2014-2017, Jupyter Development Team. +| +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +button.jp-mod-styled { + font-size: var(--jp-ui-font-size1); + color: var(--jp-ui-font-color0); + border: none; + box-sizing: border-box; + text-align: center; + line-height: 32px; + height: 32px; + padding: 0 12px; + letter-spacing: 0.8px; + outline: none; + appearance: none; + -webkit-appearance: none; + -moz-appearance: none; +} + +input.jp-mod-styled { + background: var(--jp-input-background); + height: 28px; + box-sizing: border-box; + border: var(--jp-border-width) solid var(--jp-border-color1); + padding-left: 7px; + padding-right: 7px; + font-size: var(--jp-ui-font-size2); + color: var(--jp-ui-font-color0); + outline: none; + appearance: none; + -webkit-appearance: none; + -moz-appearance: none; +} + +input[type='checkbox'].jp-mod-styled { + appearance: checkbox; + -webkit-appearance: checkbox; + -moz-appearance: checkbox; + height: auto; +} + +input.jp-mod-styled:focus { + border: var(--jp-border-width) solid var(--md-blue-500); + box-shadow: inset 0 0 4px var(--md-blue-300); +} + +.jp-select-wrapper { + display: flex; + position: relative; + flex-direction: column; + padding: 1px; + background-color: var(--jp-layout-color1); + box-sizing: border-box; + margin-bottom: 12px; +} + +.jp-select-wrapper:not(.multiple) { + height: 28px; +} + +.jp-select-wrapper.jp-mod-focused select.jp-mod-styled { + border: var(--jp-border-width) solid var(--jp-input-active-border-color); + box-shadow: var(--jp-input-box-shadow); + background-color: var(--jp-input-active-background); +} + +select.jp-mod-styled:hover { + cursor: pointer; + color: var(--jp-ui-font-color0); + background-color: var(--jp-input-hover-background); + box-shadow: inset 0 0 1px rgba(0, 0, 0, 0.5); +} + +select.jp-mod-styled { + flex: 1 1 auto; + width: 100%; + font-size: var(--jp-ui-font-size2); + background: var(--jp-input-background); + color: var(--jp-ui-font-color0); + padding: 0 25px 0 8px; + border: var(--jp-border-width) solid var(--jp-input-border-color); + border-radius: 0; + outline: none; + appearance: none; + -webkit-appearance: none; + -moz-appearance: none; +} + +select.jp-mod-styled:not([multiple]) { + height: 32px; +} + +select.jp-mod-styled[multiple] { + max-height: 200px; + overflow-y: auto; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-switch { + display: flex; + align-items: center; + padding-left: 4px; + padding-right: 4px; + font-size: var(--jp-ui-font-size1); + background-color: transparent; + color: var(--jp-ui-font-color1); + border: none; + height: 20px; +} + +.jp-switch:hover { + background-color: var(--jp-layout-color2); +} + +.jp-switch-label { + margin-right: 5px; + font-family: var(--jp-ui-font-family); +} + +.jp-switch-track { + cursor: pointer; + background-color: var(--jp-switch-color, var(--jp-border-color1)); + -webkit-transition: 0.4s; + transition: 0.4s; + border-radius: 34px; + height: 16px; + width: 35px; + position: relative; +} + +.jp-switch-track::before { + content: ''; + position: absolute; + height: 10px; + width: 10px; + margin: 3px; + left: 0; + background-color: var(--jp-ui-inverse-font-color1); + -webkit-transition: 0.4s; + transition: 0.4s; + border-radius: 50%; +} + +.jp-switch[aria-checked='true'] .jp-switch-track { + background-color: var(--jp-switch-true-position-color, var(--jp-warn-color0)); +} + +.jp-switch[aria-checked='true'] .jp-switch-track::before { + /* track width (35) - margins (3 + 3) - thumb width (10) */ + left: 19px; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) 2014-2016, Jupyter Development Team. +| +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +:root { + --jp-private-toolbar-height: calc( + 28px + var(--jp-border-width) + ); /* leave 28px for content */ +} + +.jp-Toolbar { + color: var(--jp-ui-font-color1); + flex: 0 0 auto; + display: flex; + flex-direction: row; + border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color); + box-shadow: var(--jp-toolbar-box-shadow); + background: var(--jp-toolbar-background); + min-height: var(--jp-toolbar-micro-height); + padding: 2px; + z-index: 8; + overflow-x: hidden; +} + +/* Toolbar items */ + +.jp-Toolbar > .jp-Toolbar-item.jp-Toolbar-spacer { + flex-grow: 1; + flex-shrink: 1; +} + +.jp-Toolbar-item.jp-Toolbar-kernelStatus { + display: inline-block; + width: 32px; + background-repeat: no-repeat; + background-position: center; + background-size: 16px; +} + +.jp-Toolbar > .jp-Toolbar-item { + flex: 0 0 auto; + display: flex; + padding-left: 1px; + padding-right: 1px; + font-size: var(--jp-ui-font-size1); + line-height: var(--jp-private-toolbar-height); + height: 100%; +} + +/* Toolbar buttons */ + +/* This is the div we use to wrap the react component into a Widget */ +div.jp-ToolbarButton { + color: transparent; + border: none; + box-sizing: border-box; + outline: none; + appearance: none; + -webkit-appearance: none; + -moz-appearance: none; + padding: 0; + margin: 0; +} + +button.jp-ToolbarButtonComponent { + background: var(--jp-layout-color1); + border: none; + box-sizing: border-box; + outline: none; + appearance: none; + -webkit-appearance: none; + -moz-appearance: none; + padding: 0 6px; + margin: 0; + height: 24px; + border-radius: var(--jp-border-radius); + display: flex; + align-items: center; + text-align: center; + font-size: 14px; + min-width: unset; + min-height: unset; +} + +button.jp-ToolbarButtonComponent:disabled { + opacity: 0.4; +} + +button.jp-ToolbarButtonComponent > span { + padding: 0; + flex: 0 0 auto; +} + +button.jp-ToolbarButtonComponent .jp-ToolbarButtonComponent-label { + font-size: var(--jp-ui-font-size1); + line-height: 100%; + padding-left: 2px; + color: var(--jp-ui-font-color1); + font-family: var(--jp-ui-font-family); +} + +#jp-main-dock-panel[data-mode='single-document'] + .jp-MainAreaWidget + > .jp-Toolbar.jp-Toolbar-micro { + padding: 0; + min-height: 0; +} + +#jp-main-dock-panel[data-mode='single-document'] + .jp-MainAreaWidget + > .jp-Toolbar { + border: none; + box-shadow: none; +} + +/* + * Copyright (c) Jupyter Development Team. + * Distributed under the terms of the Modified BSD License. + */ + +.jp-WindowedPanel-outer { + position: relative; + overflow-y: auto; +} + +.jp-WindowedPanel-inner { + position: relative; +} + +.jp-WindowedPanel-window { + position: absolute; + left: 0; + right: 0; + overflow: visible; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/* Sibling imports */ + +body { + color: var(--jp-ui-font-color1); + font-size: var(--jp-ui-font-size1); +} + +/* Disable native link decoration styles everywhere outside of dialog boxes */ +a { + text-decoration: unset; + color: unset; +} + +a:hover { + text-decoration: unset; + color: unset; +} + +/* Accessibility for links inside dialog box text */ +.jp-Dialog-content a { + text-decoration: revert; + color: var(--jp-content-link-color); +} + +.jp-Dialog-content a:hover { + text-decoration: revert; +} + +/* Styles for ui-components */ +.jp-Button { + color: var(--jp-ui-font-color2); + border-radius: var(--jp-border-radius); + padding: 0 12px; + font-size: var(--jp-ui-font-size1); + + /* Copy from blueprint 3 */ + display: inline-flex; + flex-direction: row; + border: none; + cursor: pointer; + align-items: center; + justify-content: center; + text-align: left; + vertical-align: middle; + min-height: 30px; + min-width: 30px; +} + +.jp-Button:disabled { + cursor: not-allowed; +} + +.jp-Button:empty { + padding: 0 !important; +} + +.jp-Button.jp-mod-small { + min-height: 24px; + min-width: 24px; + font-size: 12px; + padding: 0 7px; +} + +/* Use our own theme for hover styles */ +.jp-Button.jp-mod-minimal:hover { + background-color: var(--jp-layout-color2); +} + +.jp-Button.jp-mod-minimal { + background: none; +} + +.jp-InputGroup { + display: block; + position: relative; +} + +.jp-InputGroup input { + box-sizing: border-box; + border: none; + border-radius: 0; + background-color: transparent; + color: var(--jp-ui-font-color0); + box-shadow: inset 0 0 0 var(--jp-border-width) var(--jp-input-border-color); + padding-bottom: 0; + padding-top: 0; + padding-left: 10px; + padding-right: 28px; + position: relative; + width: 100%; + -webkit-appearance: none; + -moz-appearance: none; + appearance: none; + font-size: 14px; + font-weight: 400; + height: 30px; + line-height: 30px; + outline: none; + vertical-align: middle; +} + +.jp-InputGroup input:focus { + box-shadow: inset 0 0 0 var(--jp-border-width) + var(--jp-input-active-box-shadow-color), + inset 0 0 0 3px var(--jp-input-active-box-shadow-color); +} + +.jp-InputGroup input:disabled { + cursor: not-allowed; + resize: block; + background-color: var(--jp-layout-color2); + color: var(--jp-ui-font-color2); +} + +.jp-InputGroup input:disabled ~ span { + cursor: not-allowed; + color: var(--jp-ui-font-color2); +} + +.jp-InputGroup input::placeholder, +input::placeholder { + color: var(--jp-ui-font-color2); +} + +.jp-InputGroupAction { + position: absolute; + bottom: 1px; + right: 0; + padding: 6px; +} + +.jp-HTMLSelect.jp-DefaultStyle select { + background-color: initial; + border: none; + border-radius: 0; + box-shadow: none; + color: var(--jp-ui-font-color0); + display: block; + font-size: var(--jp-ui-font-size1); + font-family: var(--jp-ui-font-family); + height: 24px; + line-height: 14px; + padding: 0 25px 0 10px; + text-align: left; + -moz-appearance: none; + -webkit-appearance: none; +} + +.jp-HTMLSelect.jp-DefaultStyle select:disabled { + background-color: var(--jp-layout-color2); + color: var(--jp-ui-font-color2); + cursor: not-allowed; + resize: block; +} + +.jp-HTMLSelect.jp-DefaultStyle select:disabled ~ span { + cursor: not-allowed; +} + +/* Use our own theme for hover and option styles */ +/* stylelint-disable-next-line selector-max-type */ +.jp-HTMLSelect.jp-DefaultStyle select:hover, +.jp-HTMLSelect.jp-DefaultStyle select > option { + background-color: var(--jp-layout-color2); + color: var(--jp-ui-font-color0); +} + +select { + box-sizing: border-box; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Styles +|----------------------------------------------------------------------------*/ + +.jp-StatusBar-Widget { + display: flex; + align-items: center; + background: var(--jp-layout-color2); + min-height: var(--jp-statusbar-height); + justify-content: space-between; + padding: 0 10px; +} + +.jp-StatusBar-Left { + display: flex; + align-items: center; + flex-direction: row; +} + +.jp-StatusBar-Middle { + display: flex; + align-items: center; +} + +.jp-StatusBar-Right { + display: flex; + align-items: center; + flex-direction: row-reverse; +} + +.jp-StatusBar-Item { + max-height: var(--jp-statusbar-height); + margin: 0 2px; + height: var(--jp-statusbar-height); + white-space: nowrap; + text-overflow: ellipsis; + color: var(--jp-ui-font-color1); + padding: 0 6px; +} + +.jp-mod-highlighted:hover { + background-color: var(--jp-layout-color3); +} + +.jp-mod-clicked { + background-color: var(--jp-brand-color1); +} + +.jp-mod-clicked:hover { + background-color: var(--jp-brand-color0); +} + +.jp-mod-clicked .jp-StatusBar-TextItem { + color: var(--jp-ui-inverse-font-color1); +} + +.jp-StatusBar-HoverItem { + box-shadow: '0px 4px 4px rgba(0, 0, 0, 0.25)'; +} + +.jp-StatusBar-TextItem { + font-size: var(--jp-ui-font-size1); + font-family: var(--jp-ui-font-family); + line-height: 24px; + color: var(--jp-ui-font-color1); +} + +.jp-StatusBar-GroupItem { + display: flex; + align-items: center; + flex-direction: row; +} + +.jp-Statusbar-ProgressCircle svg { + display: block; + margin: 0 auto; + width: 16px; + height: 24px; + align-self: normal; +} + +.jp-Statusbar-ProgressCircle path { + fill: var(--jp-inverse-layout-color3); +} + +.jp-Statusbar-ProgressBar-progress-bar { + height: 10px; + width: 100px; + border: solid 0.25px var(--jp-brand-color2); + border-radius: 3px; + overflow: hidden; + align-self: center; +} + +.jp-Statusbar-ProgressBar-progress-bar > div { + background-color: var(--jp-brand-color2); + background-image: linear-gradient( + -45deg, + rgba(255, 255, 255, 0.2) 25%, + transparent 25%, + transparent 50%, + rgba(255, 255, 255, 0.2) 50%, + rgba(255, 255, 255, 0.2) 75%, + transparent 75%, + transparent + ); + background-size: 40px 40px; + float: left; + width: 0%; + height: 100%; + font-size: 12px; + line-height: 14px; + color: #fff; + text-align: center; + animation: jp-Statusbar-ExecutionTime-progress-bar 2s linear infinite; +} + +.jp-Statusbar-ProgressBar-progress-bar p { + color: var(--jp-ui-font-color1); + font-family: var(--jp-ui-font-family); + font-size: var(--jp-ui-font-size1); + line-height: 10px; + width: 100px; +} + +@keyframes jp-Statusbar-ExecutionTime-progress-bar { + 0% { + background-position: 0 0; + } + + 100% { + background-position: 40px 40px; + } +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Variables +|----------------------------------------------------------------------------*/ + +:root { + --jp-private-commandpalette-search-height: 28px; +} + +/*----------------------------------------------------------------------------- +| Overall styles +|----------------------------------------------------------------------------*/ + +.lm-CommandPalette { + padding-bottom: 0; + color: var(--jp-ui-font-color1); + background: var(--jp-layout-color1); + + /* This is needed so that all font sizing of children done in ems is + * relative to this base size */ + font-size: var(--jp-ui-font-size1); +} + +/*----------------------------------------------------------------------------- +| Modal variant +|----------------------------------------------------------------------------*/ + +.jp-ModalCommandPalette { + position: absolute; + z-index: 10000; + top: 38px; + left: 30%; + margin: 0; + padding: 4px; + width: 40%; + box-shadow: var(--jp-elevation-z4); + border-radius: 4px; + background: var(--jp-layout-color0); +} + +.jp-ModalCommandPalette .lm-CommandPalette { + max-height: 40vh; +} + +.jp-ModalCommandPalette .lm-CommandPalette .lm-close-icon::after { + display: none; +} + +.jp-ModalCommandPalette .lm-CommandPalette .lm-CommandPalette-header { + display: none; +} + +.jp-ModalCommandPalette .lm-CommandPalette .lm-CommandPalette-item { + margin-left: 4px; + margin-right: 4px; +} + +.jp-ModalCommandPalette + .lm-CommandPalette + .lm-CommandPalette-item.lm-mod-disabled { + display: none; +} + +/*----------------------------------------------------------------------------- +| Search +|----------------------------------------------------------------------------*/ + +.lm-CommandPalette-search { + padding: 4px; + background-color: var(--jp-layout-color1); + z-index: 2; +} + +.lm-CommandPalette-wrapper { + overflow: overlay; + padding: 0 9px; + background-color: var(--jp-input-active-background); + height: 30px; + box-shadow: inset 0 0 0 var(--jp-border-width) var(--jp-input-border-color); +} + +.lm-CommandPalette.lm-mod-focused .lm-CommandPalette-wrapper { + box-shadow: inset 0 0 0 1px var(--jp-input-active-box-shadow-color), + inset 0 0 0 3px var(--jp-input-active-box-shadow-color); +} + +.jp-SearchIconGroup { + color: white; + background-color: var(--jp-brand-color1); + position: absolute; + top: 4px; + right: 4px; + padding: 5px 5px 1px; +} + +.jp-SearchIconGroup svg { + height: 20px; + width: 20px; +} + +.jp-SearchIconGroup .jp-icon3[fill] { + fill: var(--jp-layout-color0); +} + +.lm-CommandPalette-input { + background: transparent; + width: calc(100% - 18px); + float: left; + border: none; + outline: none; + font-size: var(--jp-ui-font-size1); + color: var(--jp-ui-font-color0); + line-height: var(--jp-private-commandpalette-search-height); +} + +.lm-CommandPalette-input::-webkit-input-placeholder, +.lm-CommandPalette-input::-moz-placeholder, +.lm-CommandPalette-input:-ms-input-placeholder { + color: var(--jp-ui-font-color2); + font-size: var(--jp-ui-font-size1); +} + +/*----------------------------------------------------------------------------- +| Results +|----------------------------------------------------------------------------*/ + +.lm-CommandPalette-header:first-child { + margin-top: 0; +} + +.lm-CommandPalette-header { + border-bottom: solid var(--jp-border-width) var(--jp-border-color2); + color: var(--jp-ui-font-color1); + cursor: pointer; + display: flex; + font-size: var(--jp-ui-font-size0); + font-weight: 600; + letter-spacing: 1px; + margin-top: 8px; + padding: 8px 0 8px 12px; + text-transform: uppercase; +} + +.lm-CommandPalette-header.lm-mod-active { + background: var(--jp-layout-color2); +} + +.lm-CommandPalette-header > mark { + background-color: transparent; + font-weight: bold; + color: var(--jp-ui-font-color1); +} + +.lm-CommandPalette-item { + padding: 4px 12px 4px 4px; + color: var(--jp-ui-font-color1); + font-size: var(--jp-ui-font-size1); + font-weight: 400; + display: flex; +} + +.lm-CommandPalette-item.lm-mod-disabled { + color: var(--jp-ui-font-color2); +} + +.lm-CommandPalette-item.lm-mod-active { + color: var(--jp-ui-inverse-font-color1); + background: var(--jp-brand-color1); +} + +.lm-CommandPalette-item.lm-mod-active .lm-CommandPalette-itemLabel > mark { + color: var(--jp-ui-inverse-font-color0); +} + +.lm-CommandPalette-item.lm-mod-active .jp-icon-selectable[fill] { + fill: var(--jp-layout-color0); +} + +.lm-CommandPalette-item.lm-mod-active:hover:not(.lm-mod-disabled) { + color: var(--jp-ui-inverse-font-color1); + background: var(--jp-brand-color1); +} + +.lm-CommandPalette-item:hover:not(.lm-mod-active):not(.lm-mod-disabled) { + background: var(--jp-layout-color2); +} + +.lm-CommandPalette-itemContent { + overflow: hidden; +} + +.lm-CommandPalette-itemLabel > mark { + color: var(--jp-ui-font-color0); + background-color: transparent; + font-weight: bold; +} + +.lm-CommandPalette-item.lm-mod-disabled mark { + color: var(--jp-ui-font-color2); +} + +.lm-CommandPalette-item .lm-CommandPalette-itemIcon { + margin: 0 4px 0 0; + position: relative; + width: 16px; + top: 2px; + flex: 0 0 auto; +} + +.lm-CommandPalette-item.lm-mod-disabled .lm-CommandPalette-itemIcon { + opacity: 0.6; +} + +.lm-CommandPalette-item .lm-CommandPalette-itemShortcut { + flex: 0 0 auto; +} + +.lm-CommandPalette-itemCaption { + display: none; +} + +.lm-CommandPalette-content { + background-color: var(--jp-layout-color1); +} + +.lm-CommandPalette-content:empty::after { + content: 'No results'; + margin: auto; + margin-top: 20px; + width: 100px; + display: block; + font-size: var(--jp-ui-font-size2); + font-family: var(--jp-ui-font-family); + font-weight: lighter; +} + +.lm-CommandPalette-emptyMessage { + text-align: center; + margin-top: 24px; + line-height: 1.32; + padding: 0 8px; + color: var(--jp-content-font-color3); +} + +/*----------------------------------------------------------------------------- +| Copyright (c) 2014-2017, Jupyter Development Team. +| +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-Dialog { + position: absolute; + z-index: 10000; + display: flex; + flex-direction: column; + align-items: center; + justify-content: center; + top: 0; + left: 0; + margin: 0; + padding: 0; + width: 100%; + height: 100%; + background: var(--jp-dialog-background); +} + +.jp-Dialog-content { + display: flex; + flex-direction: column; + margin-left: auto; + margin-right: auto; + background: var(--jp-layout-color1); + padding: 24px 24px 12px; + min-width: 300px; + min-height: 150px; + max-width: 1000px; + max-height: 500px; + box-sizing: border-box; + box-shadow: var(--jp-elevation-z20); + word-wrap: break-word; + border-radius: var(--jp-border-radius); + + /* This is needed so that all font sizing of children done in ems is + * relative to this base size */ + font-size: var(--jp-ui-font-size1); + color: var(--jp-ui-font-color1); + resize: both; +} + +.jp-Dialog-content.jp-Dialog-content-small { + max-width: 500px; +} + +.jp-Dialog-button { + overflow: visible; +} + +button.jp-Dialog-button:focus { + outline: 1px solid var(--jp-brand-color1); + outline-offset: 4px; + -moz-outline-radius: 0; +} + +button.jp-Dialog-button:focus::-moz-focus-inner { + border: 0; +} + +button.jp-Dialog-button.jp-mod-styled.jp-mod-accept:focus, +button.jp-Dialog-button.jp-mod-styled.jp-mod-warn:focus, +button.jp-Dialog-button.jp-mod-styled.jp-mod-reject:focus { + outline-offset: 4px; + -moz-outline-radius: 0; +} + +button.jp-Dialog-button.jp-mod-styled.jp-mod-accept:focus { + outline: 1px solid var(--jp-accept-color-normal, var(--jp-brand-color1)); +} + +button.jp-Dialog-button.jp-mod-styled.jp-mod-warn:focus { + outline: 1px solid var(--jp-warn-color-normal, var(--jp-error-color1)); +} + +button.jp-Dialog-button.jp-mod-styled.jp-mod-reject:focus { + outline: 1px solid var(--jp-reject-color-normal, var(--md-grey-600)); +} + +button.jp-Dialog-close-button { + padding: 0; + height: 100%; + min-width: unset; + min-height: unset; +} + +.jp-Dialog-header { + display: flex; + justify-content: space-between; + flex: 0 0 auto; + padding-bottom: 12px; + font-size: var(--jp-ui-font-size3); + font-weight: 400; + color: var(--jp-ui-font-color1); +} + +.jp-Dialog-body { + display: flex; + flex-direction: column; + flex: 1 1 auto; + font-size: var(--jp-ui-font-size1); + background: var(--jp-layout-color1); + color: var(--jp-ui-font-color1); + overflow: auto; +} + +.jp-Dialog-footer { + display: flex; + flex-direction: row; + justify-content: flex-end; + align-items: center; + flex: 0 0 auto; + margin-left: -12px; + margin-right: -12px; + padding: 12px; +} + +.jp-Dialog-checkbox { + padding-right: 5px; +} + +.jp-Dialog-checkbox > input:focus-visible { + outline: 1px solid var(--jp-input-active-border-color); + outline-offset: 1px; +} + +.jp-Dialog-spacer { + flex: 1 1 auto; +} + +.jp-Dialog-title { + overflow: hidden; + white-space: nowrap; + text-overflow: ellipsis; +} + +.jp-Dialog-body > .jp-select-wrapper { + width: 100%; +} + +.jp-Dialog-body > button { + padding: 0 16px; +} + +.jp-Dialog-body > label { + line-height: 1.4; + color: var(--jp-ui-font-color0); +} + +.jp-Dialog-button.jp-mod-styled:not(:last-child) { + margin-right: 12px; +} + +/* + * Copyright (c) Jupyter Development Team. + * Distributed under the terms of the Modified BSD License. + */ + +.jp-Input-Boolean-Dialog { + flex-direction: row-reverse; + align-items: end; + width: 100%; +} + +.jp-Input-Boolean-Dialog > label { + flex: 1 1 auto; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) 2014-2016, Jupyter Development Team. +| +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-MainAreaWidget > :focus { + outline: none; +} + +.jp-MainAreaWidget .jp-MainAreaWidget-error { + padding: 6px; +} + +.jp-MainAreaWidget .jp-MainAreaWidget-error > pre { + width: auto; + padding: 10px; + background: var(--jp-error-color3); + border: var(--jp-border-width) solid var(--jp-error-color1); + border-radius: var(--jp-border-radius); + color: var(--jp-ui-font-color1); + font-size: var(--jp-ui-font-size1); + white-space: pre-wrap; + word-wrap: break-word; +} + +/* + * Copyright (c) Jupyter Development Team. + * Distributed under the terms of the Modified BSD License. + */ + +/** + * google-material-color v1.2.6 + * https://github.com/danlevan/google-material-color + */ +:root { + --md-red-50: #ffebee; + --md-red-100: #ffcdd2; + --md-red-200: #ef9a9a; + --md-red-300: #e57373; + --md-red-400: #ef5350; + --md-red-500: #f44336; + --md-red-600: #e53935; + --md-red-700: #d32f2f; + --md-red-800: #c62828; + --md-red-900: #b71c1c; + --md-red-A100: #ff8a80; + --md-red-A200: #ff5252; + --md-red-A400: #ff1744; + --md-red-A700: #d50000; + --md-pink-50: #fce4ec; + --md-pink-100: #f8bbd0; + --md-pink-200: #f48fb1; + --md-pink-300: #f06292; + --md-pink-400: #ec407a; + --md-pink-500: #e91e63; + --md-pink-600: #d81b60; + --md-pink-700: #c2185b; + --md-pink-800: #ad1457; + --md-pink-900: #880e4f; + --md-pink-A100: #ff80ab; + --md-pink-A200: #ff4081; + --md-pink-A400: #f50057; + --md-pink-A700: #c51162; + --md-purple-50: #f3e5f5; + --md-purple-100: #e1bee7; + --md-purple-200: #ce93d8; + --md-purple-300: #ba68c8; + --md-purple-400: #ab47bc; + --md-purple-500: #9c27b0; + --md-purple-600: #8e24aa; + --md-purple-700: #7b1fa2; + --md-purple-800: #6a1b9a; + --md-purple-900: #4a148c; + --md-purple-A100: #ea80fc; + --md-purple-A200: #e040fb; + --md-purple-A400: #d500f9; + --md-purple-A700: #a0f; + --md-deep-purple-50: #ede7f6; + --md-deep-purple-100: #d1c4e9; + --md-deep-purple-200: #b39ddb; + --md-deep-purple-300: #9575cd; + --md-deep-purple-400: #7e57c2; + --md-deep-purple-500: #673ab7; + --md-deep-purple-600: #5e35b1; + --md-deep-purple-700: #512da8; + --md-deep-purple-800: #4527a0; + --md-deep-purple-900: #311b92; + --md-deep-purple-A100: #b388ff; + --md-deep-purple-A200: #7c4dff; + --md-deep-purple-A400: #651fff; + --md-deep-purple-A700: #6200ea; + --md-indigo-50: #e8eaf6; + --md-indigo-100: #c5cae9; + --md-indigo-200: #9fa8da; + --md-indigo-300: #7986cb; + --md-indigo-400: #5c6bc0; + --md-indigo-500: #3f51b5; + --md-indigo-600: #3949ab; + --md-indigo-700: #303f9f; + --md-indigo-800: #283593; + --md-indigo-900: #1a237e; + --md-indigo-A100: #8c9eff; + --md-indigo-A200: #536dfe; + --md-indigo-A400: #3d5afe; + --md-indigo-A700: #304ffe; + --md-blue-50: #e3f2fd; + --md-blue-100: #bbdefb; + --md-blue-200: #90caf9; + --md-blue-300: #64b5f6; + --md-blue-400: #42a5f5; + --md-blue-500: #2196f3; + --md-blue-600: #1e88e5; + --md-blue-700: #1976d2; + --md-blue-800: #1565c0; + --md-blue-900: #0d47a1; + --md-blue-A100: #82b1ff; + --md-blue-A200: #448aff; + --md-blue-A400: #2979ff; + --md-blue-A700: #2962ff; + --md-light-blue-50: #e1f5fe; + --md-light-blue-100: #b3e5fc; + --md-light-blue-200: #81d4fa; + --md-light-blue-300: #4fc3f7; + --md-light-blue-400: #29b6f6; + --md-light-blue-500: #03a9f4; + --md-light-blue-600: #039be5; + --md-light-blue-700: #0288d1; + --md-light-blue-800: #0277bd; + --md-light-blue-900: #01579b; + --md-light-blue-A100: #80d8ff; + --md-light-blue-A200: #40c4ff; + --md-light-blue-A400: #00b0ff; + --md-light-blue-A700: #0091ea; + --md-cyan-50: #e0f7fa; + --md-cyan-100: #b2ebf2; + --md-cyan-200: #80deea; + --md-cyan-300: #4dd0e1; + --md-cyan-400: #26c6da; + --md-cyan-500: #00bcd4; + --md-cyan-600: #00acc1; + --md-cyan-700: #0097a7; + --md-cyan-800: #00838f; + --md-cyan-900: #006064; + --md-cyan-A100: #84ffff; + --md-cyan-A200: #18ffff; + --md-cyan-A400: #00e5ff; + --md-cyan-A700: #00b8d4; + --md-teal-50: #e0f2f1; + --md-teal-100: #b2dfdb; + --md-teal-200: #80cbc4; + --md-teal-300: #4db6ac; + --md-teal-400: #26a69a; + --md-teal-500: #009688; + --md-teal-600: #00897b; + --md-teal-700: #00796b; + --md-teal-800: #00695c; + --md-teal-900: #004d40; + --md-teal-A100: #a7ffeb; + --md-teal-A200: #64ffda; + --md-teal-A400: #1de9b6; + --md-teal-A700: #00bfa5; + --md-green-50: #e8f5e9; + --md-green-100: #c8e6c9; + --md-green-200: #a5d6a7; + --md-green-300: #81c784; + --md-green-400: #66bb6a; + --md-green-500: #4caf50; + --md-green-600: #43a047; + --md-green-700: #388e3c; + --md-green-800: #2e7d32; + --md-green-900: #1b5e20; + --md-green-A100: #b9f6ca; + --md-green-A200: #69f0ae; + --md-green-A400: #00e676; + --md-green-A700: #00c853; + --md-light-green-50: #f1f8e9; + --md-light-green-100: #dcedc8; + --md-light-green-200: #c5e1a5; + --md-light-green-300: #aed581; + --md-light-green-400: #9ccc65; + --md-light-green-500: #8bc34a; + --md-light-green-600: #7cb342; + --md-light-green-700: #689f38; + --md-light-green-800: #558b2f; + --md-light-green-900: #33691e; + --md-light-green-A100: #ccff90; + --md-light-green-A200: #b2ff59; + --md-light-green-A400: #76ff03; + --md-light-green-A700: #64dd17; + --md-lime-50: #f9fbe7; + --md-lime-100: #f0f4c3; + --md-lime-200: #e6ee9c; + --md-lime-300: #dce775; + --md-lime-400: #d4e157; + --md-lime-500: #cddc39; + --md-lime-600: #c0ca33; + --md-lime-700: #afb42b; + --md-lime-800: #9e9d24; + --md-lime-900: #827717; + --md-lime-A100: #f4ff81; + --md-lime-A200: #eeff41; + --md-lime-A400: #c6ff00; + --md-lime-A700: #aeea00; + --md-yellow-50: #fffde7; + --md-yellow-100: #fff9c4; + --md-yellow-200: #fff59d; + --md-yellow-300: #fff176; + --md-yellow-400: #ffee58; + --md-yellow-500: #ffeb3b; + --md-yellow-600: #fdd835; + --md-yellow-700: #fbc02d; + --md-yellow-800: #f9a825; + --md-yellow-900: #f57f17; + --md-yellow-A100: #ffff8d; + --md-yellow-A200: #ff0; + --md-yellow-A400: #ffea00; + --md-yellow-A700: #ffd600; + --md-amber-50: #fff8e1; + --md-amber-100: #ffecb3; + --md-amber-200: #ffe082; + --md-amber-300: #ffd54f; + --md-amber-400: #ffca28; + --md-amber-500: #ffc107; + --md-amber-600: #ffb300; + --md-amber-700: #ffa000; + --md-amber-800: #ff8f00; + --md-amber-900: #ff6f00; + --md-amber-A100: #ffe57f; + --md-amber-A200: #ffd740; + --md-amber-A400: #ffc400; + --md-amber-A700: #ffab00; + --md-orange-50: #fff3e0; + --md-orange-100: #ffe0b2; + --md-orange-200: #ffcc80; + --md-orange-300: #ffb74d; + --md-orange-400: #ffa726; + --md-orange-500: #ff9800; + --md-orange-600: #fb8c00; + --md-orange-700: #f57c00; + --md-orange-800: #ef6c00; + --md-orange-900: #e65100; + --md-orange-A100: #ffd180; + --md-orange-A200: #ffab40; + --md-orange-A400: #ff9100; + --md-orange-A700: #ff6d00; + --md-deep-orange-50: #fbe9e7; + --md-deep-orange-100: #ffccbc; + --md-deep-orange-200: #ffab91; + --md-deep-orange-300: #ff8a65; + --md-deep-orange-400: #ff7043; + --md-deep-orange-500: #ff5722; + --md-deep-orange-600: #f4511e; + --md-deep-orange-700: #e64a19; + --md-deep-orange-800: #d84315; + --md-deep-orange-900: #bf360c; + --md-deep-orange-A100: #ff9e80; + --md-deep-orange-A200: #ff6e40; + --md-deep-orange-A400: #ff3d00; + --md-deep-orange-A700: #dd2c00; + --md-brown-50: #efebe9; + --md-brown-100: #d7ccc8; + --md-brown-200: #bcaaa4; + --md-brown-300: #a1887f; + --md-brown-400: #8d6e63; + --md-brown-500: #795548; + --md-brown-600: #6d4c41; + --md-brown-700: #5d4037; + --md-brown-800: #4e342e; + --md-brown-900: #3e2723; + --md-grey-50: #fafafa; + --md-grey-100: #f5f5f5; + --md-grey-200: #eee; + --md-grey-300: #e0e0e0; + --md-grey-400: #bdbdbd; + --md-grey-500: #9e9e9e; + --md-grey-600: #757575; + --md-grey-700: #616161; + --md-grey-800: #424242; + --md-grey-900: #212121; + --md-blue-grey-50: #eceff1; + --md-blue-grey-100: #cfd8dc; + --md-blue-grey-200: #b0bec5; + --md-blue-grey-300: #90a4ae; + --md-blue-grey-400: #78909c; + --md-blue-grey-500: #607d8b; + --md-blue-grey-600: #546e7a; + --md-blue-grey-700: #455a64; + --md-blue-grey-800: #37474f; + --md-blue-grey-900: #263238; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) 2014-2017, Jupyter Development Team. +| +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| RenderedText +|----------------------------------------------------------------------------*/ + +:root { + /* This is the padding value to fill the gaps between lines containing spans with background color. */ + --jp-private-code-span-padding: calc( + (var(--jp-code-line-height) - 1) * var(--jp-code-font-size) / 2 + ); +} + +.jp-RenderedText { + text-align: left; + padding-left: var(--jp-code-padding); + line-height: var(--jp-code-line-height); + font-family: var(--jp-code-font-family); +} + +.jp-RenderedText pre, +.jp-RenderedJavaScript pre, +.jp-RenderedHTMLCommon pre { + color: var(--jp-content-font-color1); + font-size: var(--jp-code-font-size); + border: none; + margin: 0; + padding: 0; +} + +.jp-RenderedText pre a:link { + text-decoration: none; + color: var(--jp-content-link-color); +} + +.jp-RenderedText pre a:hover { + text-decoration: underline; + color: var(--jp-content-link-color); +} + +.jp-RenderedText pre a:visited { + text-decoration: none; + color: var(--jp-content-link-color); +} + +/* console foregrounds and backgrounds */ +.jp-RenderedText pre .ansi-black-fg { + color: #3e424d; +} + +.jp-RenderedText pre .ansi-red-fg { + color: #e75c58; +} + +.jp-RenderedText pre .ansi-green-fg { + color: #00a250; +} + +.jp-RenderedText pre .ansi-yellow-fg { + color: #ddb62b; +} + +.jp-RenderedText pre .ansi-blue-fg { + color: #208ffb; +} + +.jp-RenderedText pre .ansi-magenta-fg { + color: #d160c4; +} + +.jp-RenderedText pre .ansi-cyan-fg { + color: #60c6c8; +} + +.jp-RenderedText pre .ansi-white-fg { + color: #c5c1b4; +} + +.jp-RenderedText pre .ansi-black-bg { + background-color: #3e424d; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-red-bg { + background-color: #e75c58; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-green-bg { + background-color: #00a250; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-yellow-bg { + background-color: #ddb62b; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-blue-bg { + background-color: #208ffb; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-magenta-bg { + background-color: #d160c4; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-cyan-bg { + background-color: #60c6c8; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-white-bg { + background-color: #c5c1b4; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-black-intense-fg { + color: #282c36; +} + +.jp-RenderedText pre .ansi-red-intense-fg { + color: #b22b31; +} + +.jp-RenderedText pre .ansi-green-intense-fg { + color: #007427; +} + +.jp-RenderedText pre .ansi-yellow-intense-fg { + color: #b27d12; +} + +.jp-RenderedText pre .ansi-blue-intense-fg { + color: #0065ca; +} + +.jp-RenderedText pre .ansi-magenta-intense-fg { + color: #a03196; +} + +.jp-RenderedText pre .ansi-cyan-intense-fg { + color: #258f8f; +} + +.jp-RenderedText pre .ansi-white-intense-fg { + color: #a1a6b2; +} + +.jp-RenderedText pre .ansi-black-intense-bg { + background-color: #282c36; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-red-intense-bg { + background-color: #b22b31; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-green-intense-bg { + background-color: #007427; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-yellow-intense-bg { + background-color: #b27d12; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-blue-intense-bg { + background-color: #0065ca; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-magenta-intense-bg { + background-color: #a03196; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-cyan-intense-bg { + background-color: #258f8f; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-white-intense-bg { + background-color: #a1a6b2; + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-default-inverse-fg { + color: var(--jp-ui-inverse-font-color0); +} + +.jp-RenderedText pre .ansi-default-inverse-bg { + background-color: var(--jp-inverse-layout-color0); + padding: var(--jp-private-code-span-padding) 0; +} + +.jp-RenderedText pre .ansi-bold { + font-weight: bold; +} + +.jp-RenderedText pre .ansi-underline { + text-decoration: underline; +} + +.jp-RenderedText[data-mime-type='application/vnd.jupyter.stderr'] { + background: var(--jp-rendermime-error-background); + padding-top: var(--jp-code-padding); +} + +/*----------------------------------------------------------------------------- +| RenderedLatex +|----------------------------------------------------------------------------*/ + +.jp-RenderedLatex { + color: var(--jp-content-font-color1); + font-size: var(--jp-content-font-size1); + line-height: var(--jp-content-line-height); +} + +/* Left-justify outputs.*/ +.jp-OutputArea-output.jp-RenderedLatex { + padding: var(--jp-code-padding); + text-align: left; +} + +/*----------------------------------------------------------------------------- +| RenderedHTML +|----------------------------------------------------------------------------*/ + +.jp-RenderedHTMLCommon { + color: var(--jp-content-font-color1); + font-family: var(--jp-content-font-family); + font-size: var(--jp-content-font-size1); + line-height: var(--jp-content-line-height); + + /* Give a bit more R padding on Markdown text to keep line lengths reasonable */ + padding-right: 20px; +} + +.jp-RenderedHTMLCommon em { + font-style: italic; +} + +.jp-RenderedHTMLCommon strong { + font-weight: bold; +} + +.jp-RenderedHTMLCommon u { + text-decoration: underline; +} + +.jp-RenderedHTMLCommon a:link { + text-decoration: none; + color: var(--jp-content-link-color); +} + +.jp-RenderedHTMLCommon a:hover { + text-decoration: underline; + color: var(--jp-content-link-color); +} + +.jp-RenderedHTMLCommon a:visited { + text-decoration: none; + color: var(--jp-content-link-color); +} + +/* Headings */ + +.jp-RenderedHTMLCommon h1, +.jp-RenderedHTMLCommon h2, +.jp-RenderedHTMLCommon h3, +.jp-RenderedHTMLCommon h4, +.jp-RenderedHTMLCommon h5, +.jp-RenderedHTMLCommon h6 { + line-height: var(--jp-content-heading-line-height); + font-weight: var(--jp-content-heading-font-weight); + font-style: normal; + margin: var(--jp-content-heading-margin-top) 0 + var(--jp-content-heading-margin-bottom) 0; +} + +.jp-RenderedHTMLCommon h1:first-child, +.jp-RenderedHTMLCommon h2:first-child, +.jp-RenderedHTMLCommon h3:first-child, +.jp-RenderedHTMLCommon h4:first-child, +.jp-RenderedHTMLCommon h5:first-child, +.jp-RenderedHTMLCommon h6:first-child { + margin-top: calc(0.5 * var(--jp-content-heading-margin-top)); +} + +.jp-RenderedHTMLCommon h1:last-child, +.jp-RenderedHTMLCommon h2:last-child, +.jp-RenderedHTMLCommon h3:last-child, +.jp-RenderedHTMLCommon h4:last-child, +.jp-RenderedHTMLCommon h5:last-child, +.jp-RenderedHTMLCommon h6:last-child { + margin-bottom: calc(0.5 * var(--jp-content-heading-margin-bottom)); +} + +.jp-RenderedHTMLCommon h1 { + font-size: var(--jp-content-font-size5); +} + +.jp-RenderedHTMLCommon h2 { + font-size: var(--jp-content-font-size4); +} + +.jp-RenderedHTMLCommon h3 { + font-size: var(--jp-content-font-size3); +} + +.jp-RenderedHTMLCommon h4 { + font-size: var(--jp-content-font-size2); +} + +.jp-RenderedHTMLCommon h5 { + font-size: var(--jp-content-font-size1); +} + +.jp-RenderedHTMLCommon h6 { + font-size: var(--jp-content-font-size0); +} + +/* Lists */ + +/* stylelint-disable selector-max-type, selector-max-compound-selectors */ + +.jp-RenderedHTMLCommon ul:not(.list-inline), +.jp-RenderedHTMLCommon ol:not(.list-inline) { + padding-left: 2em; +} + +.jp-RenderedHTMLCommon ul { + list-style: disc; +} + +.jp-RenderedHTMLCommon ul ul { + list-style: square; +} + +.jp-RenderedHTMLCommon ul ul ul { + list-style: circle; +} + +.jp-RenderedHTMLCommon ol { + list-style: decimal; +} + +.jp-RenderedHTMLCommon ol ol { + list-style: upper-alpha; +} + +.jp-RenderedHTMLCommon ol ol ol { + list-style: lower-alpha; +} + +.jp-RenderedHTMLCommon ol ol ol ol { + list-style: lower-roman; +} + +.jp-RenderedHTMLCommon ol ol ol ol ol { + list-style: decimal; +} + +.jp-RenderedHTMLCommon ol, +.jp-RenderedHTMLCommon ul { + margin-bottom: 1em; +} + +.jp-RenderedHTMLCommon ul ul, +.jp-RenderedHTMLCommon ul ol, +.jp-RenderedHTMLCommon ol ul, +.jp-RenderedHTMLCommon ol ol { + margin-bottom: 0; +} + +/* stylelint-enable selector-max-type, selector-max-compound-selectors */ + +.jp-RenderedHTMLCommon hr { + color: var(--jp-border-color2); + background-color: var(--jp-border-color1); + margin-top: 1em; + margin-bottom: 1em; +} + +.jp-RenderedHTMLCommon > pre { + margin: 1.5em 2em; +} + +.jp-RenderedHTMLCommon pre, +.jp-RenderedHTMLCommon code { + border: 0; + background-color: var(--jp-layout-color0); + color: var(--jp-content-font-color1); + font-family: var(--jp-code-font-family); + font-size: inherit; + line-height: var(--jp-code-line-height); + padding: 0; + white-space: pre-wrap; +} + +.jp-RenderedHTMLCommon :not(pre) > code { + background-color: var(--jp-layout-color2); + padding: 1px 5px; +} + +/* Tables */ + +.jp-RenderedHTMLCommon table { + border-collapse: collapse; + border-spacing: 0; + border: none; + color: var(--jp-ui-font-color1); + font-size: var(--jp-ui-font-size1); + table-layout: fixed; + margin-left: auto; + margin-bottom: 1em; + margin-right: auto; +} + +.jp-RenderedHTMLCommon thead { + border-bottom: var(--jp-border-width) solid var(--jp-border-color1); + vertical-align: bottom; +} + +.jp-RenderedHTMLCommon td, +.jp-RenderedHTMLCommon th, +.jp-RenderedHTMLCommon tr { + vertical-align: middle; + padding: 0.5em; + line-height: normal; + white-space: normal; + max-width: none; + border: none; +} + +.jp-RenderedMarkdown.jp-RenderedHTMLCommon td, +.jp-RenderedMarkdown.jp-RenderedHTMLCommon th { + max-width: none; +} + +:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon td, +:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon th, +:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon tr { + text-align: right; +} + +.jp-RenderedHTMLCommon th { + font-weight: bold; +} + +.jp-RenderedHTMLCommon tbody tr:nth-child(odd) { + background: var(--jp-layout-color0); +} + +.jp-RenderedHTMLCommon tbody tr:nth-child(even) { + background: var(--jp-rendermime-table-row-background); +} + +.jp-RenderedHTMLCommon tbody tr:hover { + background: var(--jp-rendermime-table-row-hover-background); +} + +.jp-RenderedHTMLCommon p { + text-align: left; + margin: 0; + margin-bottom: 1em; +} + +.jp-RenderedHTMLCommon img { + -moz-force-broken-image-icon: 1; +} + +/* Restrict to direct children as other images could be nested in other content. */ +.jp-RenderedHTMLCommon > img { + display: block; + margin-left: 0; + margin-right: 0; + margin-bottom: 1em; +} + +/* Change color behind transparent images if they need it... */ +[data-jp-theme-light='false'] .jp-RenderedImage img.jp-needs-light-background { + background-color: var(--jp-inverse-layout-color1); +} + +[data-jp-theme-light='true'] .jp-RenderedImage img.jp-needs-dark-background { + background-color: var(--jp-inverse-layout-color1); +} + +.jp-RenderedHTMLCommon img, +.jp-RenderedImage img, +.jp-RenderedHTMLCommon svg, +.jp-RenderedSVG svg { + max-width: 100%; + height: auto; +} + +.jp-RenderedHTMLCommon img.jp-mod-unconfined, +.jp-RenderedImage img.jp-mod-unconfined, +.jp-RenderedHTMLCommon svg.jp-mod-unconfined, +.jp-RenderedSVG svg.jp-mod-unconfined { + max-width: none; +} + +.jp-RenderedHTMLCommon .alert { + padding: var(--jp-notebook-padding); + border: var(--jp-border-width) solid transparent; + border-radius: var(--jp-border-radius); + margin-bottom: 1em; +} + +.jp-RenderedHTMLCommon .alert-info { + color: var(--jp-info-color0); + background-color: var(--jp-info-color3); + border-color: var(--jp-info-color2); +} + +.jp-RenderedHTMLCommon .alert-info hr { + border-color: var(--jp-info-color3); +} + +.jp-RenderedHTMLCommon .alert-info > p:last-child, +.jp-RenderedHTMLCommon .alert-info > ul:last-child { + margin-bottom: 0; +} + +.jp-RenderedHTMLCommon .alert-warning { + color: var(--jp-warn-color0); + background-color: var(--jp-warn-color3); + border-color: var(--jp-warn-color2); +} + +.jp-RenderedHTMLCommon .alert-warning hr { + border-color: var(--jp-warn-color3); +} + +.jp-RenderedHTMLCommon .alert-warning > p:last-child, +.jp-RenderedHTMLCommon .alert-warning > ul:last-child { + margin-bottom: 0; +} + +.jp-RenderedHTMLCommon .alert-success { + color: var(--jp-success-color0); + background-color: var(--jp-success-color3); + border-color: var(--jp-success-color2); +} + +.jp-RenderedHTMLCommon .alert-success hr { + border-color: var(--jp-success-color3); +} + +.jp-RenderedHTMLCommon .alert-success > p:last-child, +.jp-RenderedHTMLCommon .alert-success > ul:last-child { + margin-bottom: 0; +} + +.jp-RenderedHTMLCommon .alert-danger { + color: var(--jp-error-color0); + background-color: var(--jp-error-color3); + border-color: var(--jp-error-color2); +} + +.jp-RenderedHTMLCommon .alert-danger hr { + border-color: var(--jp-error-color3); +} + +.jp-RenderedHTMLCommon .alert-danger > p:last-child, +.jp-RenderedHTMLCommon .alert-danger > ul:last-child { + margin-bottom: 0; +} + +.jp-RenderedHTMLCommon blockquote { + margin: 1em 2em; + padding: 0 1em; + border-left: 5px solid var(--jp-border-color2); +} + +a.jp-InternalAnchorLink { + visibility: hidden; + margin-left: 8px; + color: var(--md-blue-800); +} + +h1:hover .jp-InternalAnchorLink, +h2:hover .jp-InternalAnchorLink, +h3:hover .jp-InternalAnchorLink, +h4:hover .jp-InternalAnchorLink, +h5:hover .jp-InternalAnchorLink, +h6:hover .jp-InternalAnchorLink { + visibility: visible; +} + +.jp-RenderedHTMLCommon kbd { + background-color: var(--jp-rendermime-table-row-background); + border: 1px solid var(--jp-border-color0); + border-bottom-color: var(--jp-border-color2); + border-radius: 3px; + box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25); + display: inline-block; + font-size: var(--jp-ui-font-size0); + line-height: 1em; + padding: 0.2em 0.5em; +} + +/* Most direct children of .jp-RenderedHTMLCommon have a margin-bottom of 1.0. + * At the bottom of cells this is a bit too much as there is also spacing + * between cells. Going all the way to 0 gets too tight between markdown and + * code cells. + */ +.jp-RenderedHTMLCommon > *:last-child { + margin-bottom: 0.5em; +} + +/* + * Copyright (c) Jupyter Development Team. + * Distributed under the terms of the Modified BSD License. + */ + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Copyright (c) 2014-2017, PhosphorJS Contributors +| +| Distributed under the terms of the BSD 3-Clause License. +| +| The full license is in the file LICENSE, distributed with this software. +|----------------------------------------------------------------------------*/ + +.lm-cursor-backdrop { + position: fixed; + width: 200px; + height: 200px; + margin-top: -100px; + margin-left: -100px; + will-change: transform; + z-index: 100; +} + +.lm-mod-drag-image { + will-change: transform; +} + +/* + * Copyright (c) Jupyter Development Team. + * Distributed under the terms of the Modified BSD License. + */ + +.jp-lineFormSearch { + padding: 4px 12px; + background-color: var(--jp-layout-color2); + box-shadow: var(--jp-toolbar-box-shadow); + z-index: 2; + font-size: var(--jp-ui-font-size1); +} + +.jp-lineFormCaption { + font-size: var(--jp-ui-font-size0); + line-height: var(--jp-ui-font-size1); + margin-top: 4px; + color: var(--jp-ui-font-color0); +} + +.jp-baseLineForm { + border: none; + border-radius: 0; + position: absolute; + background-size: 16px; + background-repeat: no-repeat; + background-position: center; + outline: none; +} + +.jp-lineFormButtonContainer { + top: 4px; + right: 8px; + height: 24px; + padding: 0 12px; + width: 12px; +} + +.jp-lineFormButtonIcon { + top: 0; + right: 0; + background-color: var(--jp-brand-color1); + height: 100%; + width: 100%; + box-sizing: border-box; + padding: 4px 6px; +} + +.jp-lineFormButton { + top: 0; + right: 0; + background-color: transparent; + height: 100%; + width: 100%; + box-sizing: border-box; +} + +.jp-lineFormWrapper { + overflow: hidden; + padding: 0 8px; + border: 1px solid var(--jp-border-color0); + background-color: var(--jp-input-active-background); + height: 22px; +} + +.jp-lineFormWrapperFocusWithin { + border: var(--jp-border-width) solid var(--md-blue-500); + box-shadow: inset 0 0 4px var(--md-blue-300); +} + +.jp-lineFormInput { + background: transparent; + width: 200px; + height: 100%; + border: none; + outline: none; + color: var(--jp-ui-font-color0); + line-height: 28px; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) 2014-2016, Jupyter Development Team. +| +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-JSONEditor { + display: flex; + flex-direction: column; + width: 100%; +} + +.jp-JSONEditor-host { + flex: 1 1 auto; + border: var(--jp-border-width) solid var(--jp-input-border-color); + border-radius: 0; + background: var(--jp-layout-color0); + min-height: 50px; + padding: 1px; +} + +.jp-JSONEditor.jp-mod-error .jp-JSONEditor-host { + border-color: red; + outline-color: red; +} + +.jp-JSONEditor-header { + display: flex; + flex: 1 0 auto; + padding: 0 0 0 12px; +} + +.jp-JSONEditor-header label { + flex: 0 0 auto; +} + +.jp-JSONEditor-commitButton { + height: 16px; + width: 16px; + background-size: 18px; + background-repeat: no-repeat; + background-position: center; +} + +.jp-JSONEditor-host.jp-mod-focused { + background-color: var(--jp-input-active-background); + border: 1px solid var(--jp-input-active-border-color); + box-shadow: var(--jp-input-box-shadow); +} + +.jp-Editor.jp-mod-dropTarget { + border: var(--jp-border-width) solid var(--jp-input-active-border-color); + box-shadow: var(--jp-input-box-shadow); +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ +.jp-DocumentSearch-input { + border: none; + outline: none; + color: var(--jp-ui-font-color0); + font-size: var(--jp-ui-font-size1); + background-color: var(--jp-layout-color0); + font-family: var(--jp-ui-font-family); + padding: 2px 1px; + resize: none; +} + +.jp-DocumentSearch-overlay { + position: absolute; + background-color: var(--jp-toolbar-background); + border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color); + border-left: var(--jp-border-width) solid var(--jp-toolbar-border-color); + top: 0; + right: 0; + z-index: 7; + min-width: 405px; + padding: 2px; + font-size: var(--jp-ui-font-size1); + + --jp-private-document-search-button-height: 20px; +} + +.jp-DocumentSearch-overlay button { + background-color: var(--jp-toolbar-background); + outline: 0; +} + +.jp-DocumentSearch-overlay button:hover { + background-color: var(--jp-layout-color2); +} + +.jp-DocumentSearch-overlay button:active { + background-color: var(--jp-layout-color3); +} + +.jp-DocumentSearch-overlay-row { + display: flex; + align-items: center; + margin-bottom: 2px; +} + +.jp-DocumentSearch-button-content { + display: inline-block; + cursor: pointer; + box-sizing: border-box; + width: 100%; + height: 100%; +} + +.jp-DocumentSearch-button-content svg { + width: 100%; + height: 100%; +} + +.jp-DocumentSearch-input-wrapper { + border: var(--jp-border-width) solid var(--jp-border-color0); + display: flex; + background-color: var(--jp-layout-color0); + margin: 2px; +} + +.jp-DocumentSearch-input-wrapper:focus-within { + border-color: var(--jp-cell-editor-active-border-color); +} + +.jp-DocumentSearch-toggle-wrapper, +.jp-DocumentSearch-button-wrapper { + all: initial; + overflow: hidden; + display: inline-block; + border: none; + box-sizing: border-box; +} + +.jp-DocumentSearch-toggle-wrapper { + width: 14px; + height: 14px; +} + +.jp-DocumentSearch-button-wrapper { + width: var(--jp-private-document-search-button-height); + height: var(--jp-private-document-search-button-height); +} + +.jp-DocumentSearch-toggle-wrapper:focus, +.jp-DocumentSearch-button-wrapper:focus { + outline: var(--jp-border-width) solid + var(--jp-cell-editor-active-border-color); + outline-offset: -1px; +} + +.jp-DocumentSearch-toggle-wrapper, +.jp-DocumentSearch-button-wrapper, +.jp-DocumentSearch-button-content:focus { + outline: none; +} + +.jp-DocumentSearch-toggle-placeholder { + width: 5px; +} + +.jp-DocumentSearch-input-button::before { + display: block; + padding-top: 100%; +} + +.jp-DocumentSearch-input-button-off { + opacity: var(--jp-search-toggle-off-opacity); +} + +.jp-DocumentSearch-input-button-off:hover { + opacity: var(--jp-search-toggle-hover-opacity); +} + +.jp-DocumentSearch-input-button-on { + opacity: var(--jp-search-toggle-on-opacity); +} + +.jp-DocumentSearch-index-counter { + padding-left: 10px; + padding-right: 10px; + user-select: none; + min-width: 35px; + display: inline-block; +} + +.jp-DocumentSearch-up-down-wrapper { + display: inline-block; + padding-right: 2px; + margin-left: auto; + white-space: nowrap; +} + +.jp-DocumentSearch-spacer { + margin-left: auto; +} + +.jp-DocumentSearch-up-down-wrapper button { + outline: 0; + border: none; + width: var(--jp-private-document-search-button-height); + height: var(--jp-private-document-search-button-height); + vertical-align: middle; + margin: 1px 5px 2px; +} + +.jp-DocumentSearch-up-down-button:hover { + background-color: var(--jp-layout-color2); +} + +.jp-DocumentSearch-up-down-button:active { + background-color: var(--jp-layout-color3); +} + +.jp-DocumentSearch-filter-button { + border-radius: var(--jp-border-radius); +} + +.jp-DocumentSearch-filter-button:hover { + background-color: var(--jp-layout-color2); +} + +.jp-DocumentSearch-filter-button-enabled { + background-color: var(--jp-layout-color2); +} + +.jp-DocumentSearch-filter-button-enabled:hover { + background-color: var(--jp-layout-color3); +} + +.jp-DocumentSearch-search-options { + padding: 0 8px; + margin-left: 3px; + width: 100%; + display: grid; + justify-content: start; + grid-template-columns: 1fr 1fr; + align-items: center; + justify-items: stretch; +} + +.jp-DocumentSearch-search-filter-disabled { + color: var(--jp-ui-font-color2); +} + +.jp-DocumentSearch-search-filter { + display: flex; + align-items: center; + user-select: none; +} + +.jp-DocumentSearch-regex-error { + color: var(--jp-error-color0); +} + +.jp-DocumentSearch-replace-button-wrapper { + overflow: hidden; + display: inline-block; + box-sizing: border-box; + border: var(--jp-border-width) solid var(--jp-border-color0); + margin: auto 2px; + padding: 1px 4px; + height: calc(var(--jp-private-document-search-button-height) + 2px); +} + +.jp-DocumentSearch-replace-button-wrapper:focus { + border: var(--jp-border-width) solid var(--jp-cell-editor-active-border-color); +} + +.jp-DocumentSearch-replace-button { + display: inline-block; + text-align: center; + cursor: pointer; + box-sizing: border-box; + color: var(--jp-ui-font-color1); + + /* height - 2 * (padding of wrapper) */ + line-height: calc(var(--jp-private-document-search-button-height) - 2px); + width: 100%; + height: 100%; +} + +.jp-DocumentSearch-replace-button:focus { + outline: none; +} + +.jp-DocumentSearch-replace-wrapper-class { + margin-left: 14px; + display: flex; +} + +.jp-DocumentSearch-replace-toggle { + border: none; + background-color: var(--jp-toolbar-background); + border-radius: var(--jp-border-radius); +} + +.jp-DocumentSearch-replace-toggle:hover { + background-color: var(--jp-layout-color2); +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.cm-editor { + line-height: var(--jp-code-line-height); + font-size: var(--jp-code-font-size); + font-family: var(--jp-code-font-family); + border: 0; + border-radius: 0; + height: auto; + + /* Changed to auto to autogrow */ +} + +.cm-editor pre { + padding: 0 var(--jp-code-padding); +} + +.jp-CodeMirrorEditor[data-type='inline'] .cm-dialog { + background-color: var(--jp-layout-color0); + color: var(--jp-content-font-color1); +} + +.jp-CodeMirrorEditor { + cursor: text; +} + +/* When zoomed out 67% and 33% on a screen of 1440 width x 900 height */ +@media screen and (min-width: 2138px) and (max-width: 4319px) { + .jp-CodeMirrorEditor[data-type='inline'] .cm-cursor { + border-left: var(--jp-code-cursor-width1) solid + var(--jp-editor-cursor-color); + } +} + +/* When zoomed out less than 33% */ +@media screen and (min-width: 4320px) { + .jp-CodeMirrorEditor[data-type='inline'] .cm-cursor { + border-left: var(--jp-code-cursor-width2) solid + var(--jp-editor-cursor-color); + } +} + +.cm-editor.jp-mod-readOnly .cm-cursor { + display: none; +} + +.jp-CollaboratorCursor { + border-left: 5px solid transparent; + border-right: 5px solid transparent; + border-top: none; + border-bottom: 3px solid; + background-clip: content-box; + margin-left: -5px; + margin-right: -5px; +} + +.cm-searching, +.cm-searching span { + /* `.cm-searching span`: we need to override syntax highlighting */ + background-color: var(--jp-search-unselected-match-background-color); + color: var(--jp-search-unselected-match-color); +} + +.cm-searching::selection, +.cm-searching span::selection { + background-color: var(--jp-search-unselected-match-background-color); + color: var(--jp-search-unselected-match-color); +} + +.jp-current-match > .cm-searching, +.jp-current-match > .cm-searching span, +.cm-searching > .jp-current-match, +.cm-searching > .jp-current-match span { + background-color: var(--jp-search-selected-match-background-color); + color: var(--jp-search-selected-match-color); +} + +.jp-current-match > .cm-searching::selection, +.cm-searching > .jp-current-match::selection, +.jp-current-match > .cm-searching span::selection { + background-color: var(--jp-search-selected-match-background-color); + color: var(--jp-search-selected-match-color); +} + +.cm-trailingspace { + background-image: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAFCAYAAAB4ka1VAAAAsElEQVQIHQGlAFr/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA7+r3zKmT0/+pk9P/7+r3zAAAAAAAAAAABAAAAAAAAAAA6OPzM+/q9wAAAAAA6OPzMwAAAAAAAAAAAgAAAAAAAAAAGR8NiRQaCgAZIA0AGR8NiQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQyoYJ/SY80UAAAAASUVORK5CYII=); + background-position: center left; + background-repeat: repeat-x; +} + +.jp-CollaboratorCursor-hover { + position: absolute; + z-index: 1; + transform: translateX(-50%); + color: white; + border-radius: 3px; + padding-left: 4px; + padding-right: 4px; + padding-top: 1px; + padding-bottom: 1px; + text-align: center; + font-size: var(--jp-ui-font-size1); + white-space: nowrap; +} + +.jp-CodeMirror-ruler { + border-left: 1px dashed var(--jp-border-color2); +} + +/* Styles for shared cursors (remote cursor locations and selected ranges) */ +.jp-CodeMirrorEditor .cm-ySelectionCaret { + position: relative; + border-left: 1px solid black; + margin-left: -1px; + margin-right: -1px; + box-sizing: border-box; +} + +.jp-CodeMirrorEditor .cm-ySelectionCaret > .cm-ySelectionInfo { + white-space: nowrap; + position: absolute; + top: -1.15em; + padding-bottom: 0.05em; + left: -1px; + font-size: 0.95em; + font-family: var(--jp-ui-font-family); + font-weight: bold; + line-height: normal; + user-select: none; + color: white; + padding-left: 2px; + padding-right: 2px; + z-index: 101; + transition: opacity 0.3s ease-in-out; +} + +.jp-CodeMirrorEditor .cm-ySelectionInfo { + transition-delay: 0.7s; + opacity: 0; +} + +.jp-CodeMirrorEditor .cm-ySelectionCaret:hover > .cm-ySelectionInfo { + opacity: 1; + transition-delay: 0s; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-MimeDocument { + outline: none; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Variables +|----------------------------------------------------------------------------*/ + +:root { + --jp-private-filebrowser-button-height: 28px; + --jp-private-filebrowser-button-width: 48px; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-FileBrowser .jp-SidePanel-content { + display: flex; + flex-direction: column; +} + +.jp-FileBrowser-toolbar.jp-Toolbar { + flex-wrap: wrap; + row-gap: 12px; + border-bottom: none; + height: auto; + margin: 8px 12px 0; + box-shadow: none; + padding: 0; + justify-content: flex-start; +} + +.jp-FileBrowser-Panel { + flex: 1 1 auto; + display: flex; + flex-direction: column; +} + +.jp-BreadCrumbs { + flex: 0 0 auto; + margin: 8px 12px; +} + +.jp-BreadCrumbs-item { + margin: 0 2px; + padding: 0 2px; + border-radius: var(--jp-border-radius); + cursor: pointer; +} + +.jp-BreadCrumbs-item:hover { + background-color: var(--jp-layout-color2); +} + +.jp-BreadCrumbs-item:first-child { + margin-left: 0; +} + +.jp-BreadCrumbs-item.jp-mod-dropTarget { + background-color: var(--jp-brand-color2); + opacity: 0.7; +} + +/*----------------------------------------------------------------------------- +| Buttons +|----------------------------------------------------------------------------*/ + +.jp-FileBrowser-toolbar > .jp-Toolbar-item { + flex: 0 0 auto; + padding-left: 0; + padding-right: 2px; + align-items: center; + height: unset; +} + +.jp-FileBrowser-toolbar > .jp-Toolbar-item .jp-ToolbarButtonComponent { + width: 40px; +} + +/*----------------------------------------------------------------------------- +| Other styles +|----------------------------------------------------------------------------*/ + +.jp-FileDialog.jp-mod-conflict input { + color: var(--jp-error-color1); +} + +.jp-FileDialog .jp-new-name-title { + margin-top: 12px; +} + +.jp-LastModified-hidden { + display: none; +} + +.jp-FileSize-hidden { + display: none; +} + +.jp-FileBrowser .lm-AccordionPanel > h3:first-child { + display: none; +} + +/*----------------------------------------------------------------------------- +| DirListing +|----------------------------------------------------------------------------*/ + +.jp-DirListing { + flex: 1 1 auto; + display: flex; + flex-direction: column; + outline: 0; +} + +.jp-DirListing-header { + flex: 0 0 auto; + display: flex; + flex-direction: row; + align-items: center; + overflow: hidden; + border-top: var(--jp-border-width) solid var(--jp-border-color2); + border-bottom: var(--jp-border-width) solid var(--jp-border-color1); + box-shadow: var(--jp-toolbar-box-shadow); + z-index: 2; +} + +.jp-DirListing-headerItem { + padding: 4px 12px 2px; + font-weight: 500; +} + +.jp-DirListing-headerItem:hover { + background: var(--jp-layout-color2); +} + +.jp-DirListing-headerItem.jp-id-name { + flex: 1 0 84px; +} + +.jp-DirListing-headerItem.jp-id-modified { + flex: 0 0 112px; + border-left: var(--jp-border-width) solid var(--jp-border-color2); + text-align: right; +} + +.jp-DirListing-headerItem.jp-id-filesize { + flex: 0 0 75px; + border-left: var(--jp-border-width) solid var(--jp-border-color2); + text-align: right; +} + +.jp-id-narrow { + display: none; + flex: 0 0 5px; + padding: 4px; + border-left: var(--jp-border-width) solid var(--jp-border-color2); + text-align: right; + color: var(--jp-border-color2); +} + +.jp-DirListing-narrow .jp-id-narrow { + display: block; +} + +.jp-DirListing-narrow .jp-id-modified, +.jp-DirListing-narrow .jp-DirListing-itemModified { + display: none; +} + +.jp-DirListing-headerItem.jp-mod-selected { + font-weight: 600; +} + +/* increase specificity to override bundled default */ +.jp-DirListing-content { + flex: 1 1 auto; + margin: 0; + padding: 0; + list-style-type: none; + overflow: auto; + background-color: var(--jp-layout-color1); +} + +.jp-DirListing-content mark { + color: var(--jp-ui-font-color0); + background-color: transparent; + font-weight: bold; +} + +.jp-DirListing-content .jp-DirListing-item.jp-mod-selected mark { + color: var(--jp-ui-inverse-font-color0); +} + +/* Style the directory listing content when a user drops a file to upload */ +.jp-DirListing.jp-mod-native-drop .jp-DirListing-content { + outline: 5px dashed rgba(128, 128, 128, 0.5); + outline-offset: -10px; + cursor: copy; +} + +.jp-DirListing-item { + display: flex; + flex-direction: row; + align-items: center; + padding: 4px 12px; + -webkit-user-select: none; + -moz-user-select: none; + -ms-user-select: none; + user-select: none; +} + +.jp-DirListing-checkboxWrapper { + /* Increases hit area of checkbox. */ + padding: 4px; +} + +.jp-DirListing-header + .jp-DirListing-checkboxWrapper + + .jp-DirListing-headerItem { + padding-left: 4px; +} + +.jp-DirListing-content .jp-DirListing-checkboxWrapper { + position: relative; + left: -4px; + margin: -4px 0 -4px -8px; +} + +.jp-DirListing-checkboxWrapper.jp-mod-visible { + visibility: visible; +} + +/* For devices that support hovering, hide checkboxes until hovered, selected... +*/ +@media (hover: hover) { + .jp-DirListing-checkboxWrapper { + visibility: hidden; + } + + .jp-DirListing-item:hover .jp-DirListing-checkboxWrapper, + .jp-DirListing-item.jp-mod-selected .jp-DirListing-checkboxWrapper { + visibility: visible; + } +} + +.jp-DirListing-item[data-is-dot] { + opacity: 75%; +} + +.jp-DirListing-item.jp-mod-selected { + color: var(--jp-ui-inverse-font-color1); + background: var(--jp-brand-color1); +} + +.jp-DirListing-item.jp-mod-dropTarget { + background: var(--jp-brand-color3); +} + +.jp-DirListing-item:hover:not(.jp-mod-selected) { + background: var(--jp-layout-color2); +} + +.jp-DirListing-itemIcon { + flex: 0 0 20px; + margin-right: 4px; +} + +.jp-DirListing-itemText { + flex: 1 0 64px; + white-space: nowrap; + overflow: hidden; + text-overflow: ellipsis; + user-select: none; +} + +.jp-DirListing-itemText:focus { + outline-width: 2px; + outline-color: var(--jp-inverse-layout-color1); + outline-style: solid; + outline-offset: 1px; +} + +.jp-DirListing-item.jp-mod-selected .jp-DirListing-itemText:focus { + outline-color: var(--jp-layout-color1); +} + +.jp-DirListing-itemModified { + flex: 0 0 125px; + text-align: right; +} + +.jp-DirListing-itemFileSize { + flex: 0 0 90px; + text-align: right; +} + +.jp-DirListing-editor { + flex: 1 0 64px; + outline: none; + border: none; + color: var(--jp-ui-font-color1); + background-color: var(--jp-layout-color1); +} + +.jp-DirListing-item.jp-mod-running .jp-DirListing-itemIcon::before { + color: var(--jp-success-color1); + content: '\25CF'; + font-size: 8px; + position: absolute; + left: -8px; +} + +.jp-DirListing-item.jp-mod-running.jp-mod-selected + .jp-DirListing-itemIcon::before { + color: var(--jp-ui-inverse-font-color1); +} + +.jp-DirListing-item.lm-mod-drag-image, +.jp-DirListing-item.jp-mod-selected.lm-mod-drag-image { + font-size: var(--jp-ui-font-size1); + padding-left: 4px; + margin-left: 4px; + width: 160px; + background-color: var(--jp-ui-inverse-font-color2); + box-shadow: var(--jp-elevation-z2); + border-radius: 0; + color: var(--jp-ui-font-color1); + transform: translateX(-40%) translateY(-58%); +} + +.jp-Document { + min-width: 120px; + min-height: 120px; + outline: none; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Main OutputArea +| OutputArea has a list of Outputs +|----------------------------------------------------------------------------*/ + +.jp-OutputArea { + overflow-y: auto; +} + +.jp-OutputArea-child { + display: table; + table-layout: fixed; + width: 100%; + overflow: hidden; +} + +.jp-OutputPrompt { + width: var(--jp-cell-prompt-width); + color: var(--jp-cell-outprompt-font-color); + font-family: var(--jp-cell-prompt-font-family); + padding: var(--jp-code-padding); + letter-spacing: var(--jp-cell-prompt-letter-spacing); + line-height: var(--jp-code-line-height); + font-size: var(--jp-code-font-size); + border: var(--jp-border-width) solid transparent; + opacity: var(--jp-cell-prompt-opacity); + + /* Right align prompt text, don't wrap to handle large prompt numbers */ + text-align: right; + white-space: nowrap; + overflow: hidden; + text-overflow: ellipsis; + + /* Disable text selection */ + -webkit-user-select: none; + -moz-user-select: none; + -ms-user-select: none; + user-select: none; +} + +.jp-OutputArea-prompt { + display: table-cell; + vertical-align: top; +} + +.jp-OutputArea-output { + display: table-cell; + width: 100%; + height: auto; + overflow: auto; + user-select: text; + -moz-user-select: text; + -webkit-user-select: text; + -ms-user-select: text; +} + +.jp-OutputArea .jp-RenderedText { + padding-left: 1ch; +} + +/** + * Prompt overlay. + */ + +.jp-OutputArea-promptOverlay { + position: absolute; + top: 0; + width: var(--jp-cell-prompt-width); + height: 100%; + opacity: 0.5; +} + +.jp-OutputArea-promptOverlay:hover { + background: var(--jp-layout-color2); + box-shadow: inset 0 0 1px var(--jp-inverse-layout-color0); + cursor: zoom-out; +} + +.jp-mod-outputsScrolled .jp-OutputArea-promptOverlay:hover { + cursor: zoom-in; +} + +/** + * Isolated output. + */ +.jp-OutputArea-output.jp-mod-isolated { + width: 100%; + display: block; +} + +/* +When drag events occur, `lm-mod-override-cursor` is added to the body. +Because iframes steal all cursor events, the following two rules are necessary +to suppress pointer events while resize drags are occurring. There may be a +better solution to this problem. +*/ +body.lm-mod-override-cursor .jp-OutputArea-output.jp-mod-isolated { + position: relative; +} + +body.lm-mod-override-cursor .jp-OutputArea-output.jp-mod-isolated::before { + content: ''; + position: absolute; + top: 0; + left: 0; + right: 0; + bottom: 0; + background: transparent; +} + +/* pre */ + +.jp-OutputArea-output pre { + border: none; + margin: 0; + padding: 0; + overflow-x: auto; + overflow-y: auto; + word-break: break-all; + word-wrap: break-word; + white-space: pre-wrap; +} + +/* tables */ + +.jp-OutputArea-output.jp-RenderedHTMLCommon table { + margin-left: 0; + margin-right: 0; +} + +/* description lists */ + +.jp-OutputArea-output dl, +.jp-OutputArea-output dt, +.jp-OutputArea-output dd { + display: block; +} + +.jp-OutputArea-output dl { + width: 100%; + overflow: hidden; + padding: 0; + margin: 0; +} + +.jp-OutputArea-output dt { + font-weight: bold; + float: left; + width: 20%; + padding: 0; + margin: 0; +} + +.jp-OutputArea-output dd { + float: left; + width: 80%; + padding: 0; + margin: 0; +} + +.jp-TrimmedOutputs pre { + background: var(--jp-layout-color3); + font-size: calc(var(--jp-code-font-size) * 1.4); + text-align: center; + text-transform: uppercase; +} + +/* Hide the gutter in case of + * - nested output areas (e.g. in the case of output widgets) + * - mirrored output areas + */ +.jp-OutputArea .jp-OutputArea .jp-OutputArea-prompt { + display: none; +} + +/* Hide empty lines in the output area, for instance due to cleared widgets */ +.jp-OutputArea-prompt:empty { + padding: 0; + border: 0; +} + +/*----------------------------------------------------------------------------- +| executeResult is added to any Output-result for the display of the object +| returned by a cell +|----------------------------------------------------------------------------*/ + +.jp-OutputArea-output.jp-OutputArea-executeResult { + margin-left: 0; + width: 100%; +} + +/* Text output with the Out[] prompt needs a top padding to match the + * alignment of the Out[] prompt itself. + */ +.jp-OutputArea-executeResult .jp-RenderedText.jp-OutputArea-output { + padding-top: var(--jp-code-padding); + border-top: var(--jp-border-width) solid transparent; +} + +/*----------------------------------------------------------------------------- +| The Stdin output +|----------------------------------------------------------------------------*/ + +.jp-Stdin-prompt { + color: var(--jp-content-font-color0); + padding-right: var(--jp-code-padding); + vertical-align: baseline; + flex: 0 0 auto; +} + +.jp-Stdin-input { + font-family: var(--jp-code-font-family); + font-size: inherit; + color: inherit; + background-color: inherit; + width: 42%; + min-width: 200px; + + /* make sure input baseline aligns with prompt */ + vertical-align: baseline; + + /* padding + margin = 0.5em between prompt and cursor */ + padding: 0 0.25em; + margin: 0 0.25em; + flex: 0 0 70%; +} + +.jp-Stdin-input::placeholder { + opacity: 0; +} + +.jp-Stdin-input:focus { + box-shadow: none; +} + +.jp-Stdin-input:focus::placeholder { + opacity: 1; +} + +/*----------------------------------------------------------------------------- +| Output Area View +|----------------------------------------------------------------------------*/ + +.jp-LinkedOutputView .jp-OutputArea { + height: 100%; + display: block; +} + +.jp-LinkedOutputView .jp-OutputArea-output:only-child { + height: 100%; +} + +/*----------------------------------------------------------------------------- +| Printing +|----------------------------------------------------------------------------*/ + +@media print { + .jp-OutputArea-child { + break-inside: avoid-page; + } +} + +/*----------------------------------------------------------------------------- +| Mobile +|----------------------------------------------------------------------------*/ +@media only screen and (max-width: 760px) { + .jp-OutputPrompt { + display: table-row; + text-align: left; + } + + .jp-OutputArea-child .jp-OutputArea-output { + display: table-row; + margin-left: var(--jp-notebook-padding); + } +} + +/* Trimmed outputs warning */ +.jp-TrimmedOutputs > a { + margin: 10px; + text-decoration: none; + cursor: pointer; +} + +.jp-TrimmedOutputs > a:hover { + text-decoration: none; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Table of Contents +|----------------------------------------------------------------------------*/ + +:root { + --jp-private-toc-active-width: 4px; +} + +.jp-TableOfContents { + display: flex; + flex-direction: column; + background: var(--jp-layout-color1); + color: var(--jp-ui-font-color1); + font-size: var(--jp-ui-font-size1); + height: 100%; +} + +.jp-TableOfContents-placeholder { + text-align: center; +} + +.jp-TableOfContents-placeholderContent { + color: var(--jp-content-font-color2); + padding: 8px; +} + +.jp-TableOfContents-placeholderContent > h3 { + margin-bottom: var(--jp-content-heading-margin-bottom); +} + +.jp-TableOfContents .jp-SidePanel-content { + overflow-y: auto; +} + +.jp-TableOfContents-tree { + margin: 4px; +} + +.jp-TableOfContents ol { + list-style-type: none; +} + +/* stylelint-disable-next-line selector-max-type */ +.jp-TableOfContents li > ol { + /* Align left border with triangle icon center */ + padding-left: 11px; +} + +.jp-TableOfContents-content { + /* left margin for the active heading indicator */ + margin: 0 0 0 var(--jp-private-toc-active-width); + padding: 0; + background-color: var(--jp-layout-color1); +} + +.jp-tocItem { + -webkit-user-select: none; + -moz-user-select: none; + -ms-user-select: none; + user-select: none; +} + +.jp-tocItem-heading { + display: flex; + cursor: pointer; +} + +.jp-tocItem-heading:hover { + background-color: var(--jp-layout-color2); +} + +.jp-tocItem-content { + display: block; + padding: 4px 0; + white-space: nowrap; + text-overflow: ellipsis; + overflow-x: hidden; +} + +.jp-tocItem-collapser { + height: 20px; + margin: 2px 2px 0; + padding: 0; + background: none; + border: none; + cursor: pointer; +} + +.jp-tocItem-collapser:hover { + background-color: var(--jp-layout-color3); +} + +/* Active heading indicator */ + +.jp-tocItem-heading::before { + content: ' '; + background: transparent; + width: var(--jp-private-toc-active-width); + height: 24px; + position: absolute; + left: 0; + border-radius: var(--jp-border-radius); +} + +.jp-tocItem-heading.jp-tocItem-active::before { + background-color: var(--jp-brand-color1); +} + +.jp-tocItem-heading:hover.jp-tocItem-active::before { + background: var(--jp-brand-color0); + opacity: 1; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +.jp-Collapser { + flex: 0 0 var(--jp-cell-collapser-width); + padding: 0; + margin: 0; + border: none; + outline: none; + background: transparent; + border-radius: var(--jp-border-radius); + opacity: 1; +} + +.jp-Collapser-child { + display: block; + width: 100%; + box-sizing: border-box; + + /* height: 100% doesn't work because the height of its parent is computed from content */ + position: absolute; + top: 0; + bottom: 0; +} + +/*----------------------------------------------------------------------------- +| Printing +|----------------------------------------------------------------------------*/ + +/* +Hiding collapsers in print mode. + +Note: input and output wrappers have "display: block" propery in print mode. +*/ + +@media print { + .jp-Collapser { + display: none; + } +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Header/Footer +|----------------------------------------------------------------------------*/ + +/* Hidden by zero height by default */ +.jp-CellHeader, +.jp-CellFooter { + height: 0; + width: 100%; + padding: 0; + margin: 0; + border: none; + outline: none; + background: transparent; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Input +|----------------------------------------------------------------------------*/ + +/* All input areas */ +.jp-InputArea { + display: table; + table-layout: fixed; + width: 100%; + overflow: hidden; +} + +.jp-InputArea-editor { + display: table-cell; + overflow: hidden; + vertical-align: top; + + /* This is the non-active, default styling */ + border: var(--jp-border-width) solid var(--jp-cell-editor-border-color); + border-radius: 0; + background: var(--jp-cell-editor-background); +} + +.jp-InputPrompt { + display: table-cell; + vertical-align: top; + width: var(--jp-cell-prompt-width); + color: var(--jp-cell-inprompt-font-color); + font-family: var(--jp-cell-prompt-font-family); + padding: var(--jp-code-padding); + letter-spacing: var(--jp-cell-prompt-letter-spacing); + opacity: var(--jp-cell-prompt-opacity); + line-height: var(--jp-code-line-height); + font-size: var(--jp-code-font-size); + border: var(--jp-border-width) solid transparent; + + /* Right align prompt text, don't wrap to handle large prompt numbers */ + text-align: right; + white-space: nowrap; + overflow: hidden; + text-overflow: ellipsis; + + /* Disable text selection */ + -webkit-user-select: none; + -moz-user-select: none; + -ms-user-select: none; + user-select: none; +} + +/*----------------------------------------------------------------------------- +| Mobile +|----------------------------------------------------------------------------*/ +@media only screen and (max-width: 760px) { + .jp-InputArea-editor { + display: table-row; + margin-left: var(--jp-notebook-padding); + } + + .jp-InputPrompt { + display: table-row; + text-align: left; + } +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Placeholder +|----------------------------------------------------------------------------*/ + +.jp-Placeholder { + display: table; + table-layout: fixed; + width: 100%; +} + +.jp-Placeholder-prompt { + display: table-cell; + box-sizing: border-box; +} + +.jp-Placeholder-content { + display: table-cell; + padding: 4px 6px; + border: 1px solid transparent; + border-radius: 0; + background: none; + box-sizing: border-box; + cursor: pointer; +} + +.jp-Placeholder-contentContainer { + display: flex; +} + +.jp-Placeholder-content:hover, +.jp-InputPlaceholder > .jp-Placeholder-content:hover { + border-color: var(--jp-layout-color3); +} + +.jp-Placeholder-content .jp-MoreHorizIcon { + width: 32px; + height: 16px; + border: 1px solid transparent; + border-radius: var(--jp-border-radius); +} + +.jp-Placeholder-content .jp-MoreHorizIcon:hover { + border: 1px solid var(--jp-border-color1); + box-shadow: 0 0 2px 0 rgba(0, 0, 0, 0.25); + background-color: var(--jp-layout-color0); +} + +.jp-PlaceholderText { + white-space: nowrap; + overflow-x: hidden; + color: var(--jp-inverse-layout-color3); + font-family: var(--jp-code-font-family); +} + +.jp-InputPlaceholder > .jp-Placeholder-content { + border-color: var(--jp-cell-editor-border-color); + background: var(--jp-cell-editor-background); +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Private CSS variables +|----------------------------------------------------------------------------*/ + +:root { + --jp-private-cell-scrolling-output-offset: 5px; +} + +/*----------------------------------------------------------------------------- +| Cell +|----------------------------------------------------------------------------*/ + +.jp-Cell { + padding: var(--jp-cell-padding); + margin: 0; + border: none; + outline: none; + background: transparent; +} + +/*----------------------------------------------------------------------------- +| Common input/output +|----------------------------------------------------------------------------*/ + +.jp-Cell-inputWrapper, +.jp-Cell-outputWrapper { + display: flex; + flex-direction: row; + padding: 0; + margin: 0; + + /* Added to reveal the box-shadow on the input and output collapsers. */ + overflow: visible; +} + +/* Only input/output areas inside cells */ +.jp-Cell-inputArea, +.jp-Cell-outputArea { + flex: 1 1 auto; +} + +/*----------------------------------------------------------------------------- +| Collapser +|----------------------------------------------------------------------------*/ + +/* Make the output collapser disappear when there is not output, but do so + * in a manner that leaves it in the layout and preserves its width. + */ +.jp-Cell.jp-mod-noOutputs .jp-Cell-outputCollapser { + border: none !important; + background: transparent !important; +} + +.jp-Cell:not(.jp-mod-noOutputs) .jp-Cell-outputCollapser { + min-height: var(--jp-cell-collapser-min-height); +} + +/*----------------------------------------------------------------------------- +| Output +|----------------------------------------------------------------------------*/ + +/* Put a space between input and output when there IS output */ +.jp-Cell:not(.jp-mod-noOutputs) .jp-Cell-outputWrapper { + margin-top: 5px; +} + +.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea { + overflow-y: auto; + max-height: 24em; + margin-left: var(--jp-private-cell-scrolling-output-offset); + resize: vertical; +} + +.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea[style*='height'] { + max-height: unset; +} + +.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea::after { + content: ' '; + box-shadow: inset 0 0 6px 2px rgb(0 0 0 / 30%); + width: 100%; + height: 100%; + position: sticky; + bottom: 0; + top: 0; + margin-top: -50%; + float: left; + display: block; + pointer-events: none; +} + +.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-child { + padding-top: 6px; +} + +.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-prompt { + width: calc( + var(--jp-cell-prompt-width) - var(--jp-private-cell-scrolling-output-offset) + ); +} + +.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-promptOverlay { + left: calc(-1 * var(--jp-private-cell-scrolling-output-offset)); +} + +/*----------------------------------------------------------------------------- +| CodeCell +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| MarkdownCell +|----------------------------------------------------------------------------*/ + +.jp-MarkdownOutput { + display: table-cell; + width: 100%; + margin-top: 0; + margin-bottom: 0; + padding-left: var(--jp-code-padding); +} + +.jp-MarkdownOutput.jp-RenderedHTMLCommon { + overflow: auto; +} + +/* collapseHeadingButton (show always if hiddenCellsButton is _not_ shown) */ +.jp-collapseHeadingButton { + display: flex; + min-height: var(--jp-cell-collapser-min-height); + font-size: var(--jp-code-font-size); + position: absolute; + background-color: transparent; + background-size: 25px; + background-repeat: no-repeat; + background-position-x: center; + background-position-y: top; + background-image: var(--jp-icon-caret-down); + right: 0; + top: 0; + bottom: 0; +} + +.jp-collapseHeadingButton.jp-mod-collapsed { + background-image: var(--jp-icon-caret-right); +} + +/* + set the container font size to match that of content + so that the nested collapse buttons have the right size +*/ +.jp-MarkdownCell .jp-InputPrompt { + font-size: var(--jp-content-font-size1); +} + +/* + Align collapseHeadingButton with cell top header + The font sizes are identical to the ones in packages/rendermime/style/base.css +*/ +.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='1'] { + font-size: var(--jp-content-font-size5); + background-position-y: calc(0.3 * var(--jp-content-font-size5)); +} + +.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='2'] { + font-size: var(--jp-content-font-size4); + background-position-y: calc(0.3 * var(--jp-content-font-size4)); +} + +.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='3'] { + font-size: var(--jp-content-font-size3); + background-position-y: calc(0.3 * var(--jp-content-font-size3)); +} + +.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='4'] { + font-size: var(--jp-content-font-size2); + background-position-y: calc(0.3 * var(--jp-content-font-size2)); +} + +.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='5'] { + font-size: var(--jp-content-font-size1); + background-position-y: top; +} + +.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='6'] { + font-size: var(--jp-content-font-size0); + background-position-y: top; +} + +/* collapseHeadingButton (show only on (hover,active) if hiddenCellsButton is shown) */ +.jp-Notebook.jp-mod-showHiddenCellsButton .jp-collapseHeadingButton { + display: none; +} + +.jp-Notebook.jp-mod-showHiddenCellsButton + :is(.jp-MarkdownCell:hover, .jp-mod-active) + .jp-collapseHeadingButton { + display: flex; +} + +/* showHiddenCellsButton (only show if jp-mod-showHiddenCellsButton is set, which +is a consequence of the showHiddenCellsButton option in Notebook Settings)*/ +.jp-Notebook.jp-mod-showHiddenCellsButton .jp-showHiddenCellsButton { + margin-left: calc(var(--jp-cell-prompt-width) + 2 * var(--jp-code-padding)); + margin-top: var(--jp-code-padding); + border: 1px solid var(--jp-border-color2); + background-color: var(--jp-border-color3) !important; + color: var(--jp-content-font-color0) !important; + display: flex; +} + +.jp-Notebook.jp-mod-showHiddenCellsButton .jp-showHiddenCellsButton:hover { + background-color: var(--jp-border-color2) !important; +} + +.jp-showHiddenCellsButton { + display: none; +} + +/*----------------------------------------------------------------------------- +| Printing +|----------------------------------------------------------------------------*/ + +/* +Using block instead of flex to allow the use of the break-inside CSS property for +cell outputs. +*/ + +@media print { + .jp-Cell-inputWrapper, + .jp-Cell-outputWrapper { + display: block; + } +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Variables +|----------------------------------------------------------------------------*/ + +:root { + --jp-notebook-toolbar-padding: 2px 5px 2px 2px; +} + +/*----------------------------------------------------------------------------- + +/*----------------------------------------------------------------------------- +| Styles +|----------------------------------------------------------------------------*/ + +.jp-NotebookPanel-toolbar { + padding: var(--jp-notebook-toolbar-padding); + + /* disable paint containment from lumino 2.0 default strict CSS containment */ + contain: style size !important; +} + +.jp-Toolbar-item.jp-Notebook-toolbarCellType .jp-select-wrapper.jp-mod-focused { + border: none; + box-shadow: none; +} + +.jp-Notebook-toolbarCellTypeDropdown select { + height: 24px; + font-size: var(--jp-ui-font-size1); + line-height: 14px; + border-radius: 0; + display: block; +} + +.jp-Notebook-toolbarCellTypeDropdown span { + top: 5px !important; +} + +.jp-Toolbar-responsive-popup { + position: absolute; + height: fit-content; + display: flex; + flex-direction: row; + flex-wrap: wrap; + justify-content: flex-end; + border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color); + box-shadow: var(--jp-toolbar-box-shadow); + background: var(--jp-toolbar-background); + min-height: var(--jp-toolbar-micro-height); + padding: var(--jp-notebook-toolbar-padding); + z-index: 1; + right: 0; + top: 0; +} + +.jp-Toolbar > .jp-Toolbar-responsive-opener { + margin-left: auto; +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Variables +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- + +/*----------------------------------------------------------------------------- +| Styles +|----------------------------------------------------------------------------*/ + +.jp-Notebook-ExecutionIndicator { + position: relative; + display: inline-block; + height: 100%; + z-index: 9997; +} + +.jp-Notebook-ExecutionIndicator-tooltip { + visibility: hidden; + height: auto; + width: max-content; + width: -moz-max-content; + background-color: var(--jp-layout-color2); + color: var(--jp-ui-font-color1); + text-align: justify; + border-radius: 6px; + padding: 0 5px; + position: fixed; + display: table; +} + +.jp-Notebook-ExecutionIndicator-tooltip.up { + transform: translateX(-50%) translateY(-100%) translateY(-32px); +} + +.jp-Notebook-ExecutionIndicator-tooltip.down { + transform: translateX(calc(-100% + 16px)) translateY(5px); +} + +.jp-Notebook-ExecutionIndicator-tooltip.hidden { + display: none; +} + +.jp-Notebook-ExecutionIndicator:hover .jp-Notebook-ExecutionIndicator-tooltip { + visibility: visible; +} + +.jp-Notebook-ExecutionIndicator span { + font-size: var(--jp-ui-font-size1); + font-family: var(--jp-ui-font-family); + color: var(--jp-ui-font-color1); + line-height: 24px; + display: block; +} + +.jp-Notebook-ExecutionIndicator-progress-bar { + display: flex; + justify-content: center; + height: 100%; +} + +/* + * Copyright (c) Jupyter Development Team. + * Distributed under the terms of the Modified BSD License. + */ + +/* + * Execution indicator + */ +.jp-tocItem-content::after { + content: ''; + + /* Must be identical to form a circle */ + width: 12px; + height: 12px; + background: none; + border: none; + position: absolute; + right: 0; +} + +.jp-tocItem-content[data-running='0']::after { + border-radius: 50%; + border: var(--jp-border-width) solid var(--jp-inverse-layout-color3); + background: none; +} + +.jp-tocItem-content[data-running='1']::after { + border-radius: 50%; + border: var(--jp-border-width) solid var(--jp-inverse-layout-color3); + background-color: var(--jp-inverse-layout-color3); +} + +.jp-tocItem-content[data-running='0'], +.jp-tocItem-content[data-running='1'] { + margin-right: 12px; +} + +/* + * Copyright (c) Jupyter Development Team. + * Distributed under the terms of the Modified BSD License. + */ + +.jp-Notebook-footer { + height: 27px; + margin-left: calc( + var(--jp-cell-prompt-width) + var(--jp-cell-collapser-width) + + var(--jp-cell-padding) + ); + width: calc( + 100% - + ( + var(--jp-cell-prompt-width) + var(--jp-cell-collapser-width) + + var(--jp-cell-padding) + var(--jp-cell-padding) + ) + ); + border: var(--jp-border-width) solid var(--jp-cell-editor-border-color); + color: var(--jp-ui-font-color3); + margin-top: 6px; + background: none; + cursor: pointer; +} + +.jp-Notebook-footer:focus { + border-color: var(--jp-cell-editor-active-border-color); +} + +/* For devices that support hovering, hide footer until hover */ +@media (hover: hover) { + .jp-Notebook-footer { + opacity: 0; + } + + .jp-Notebook-footer:focus, + .jp-Notebook-footer:hover { + opacity: 1; + } +} + +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| Imports +|----------------------------------------------------------------------------*/ + +/*----------------------------------------------------------------------------- +| CSS variables +|----------------------------------------------------------------------------*/ + +:root { + --jp-side-by-side-output-size: 1fr; + --jp-side-by-side-resized-cell: var(--jp-side-by-side-output-size); + --jp-private-notebook-dragImage-width: 304px; + --jp-private-notebook-dragImage-height: 36px; + --jp-private-notebook-selected-color: var(--md-blue-400); + --jp-private-notebook-active-color: var(--md-green-400); +} + +/*----------------------------------------------------------------------------- +| Notebook +|----------------------------------------------------------------------------*/ + +/* stylelint-disable selector-max-class */ + +.jp-NotebookPanel { + display: block; + height: 100%; +} + +.jp-NotebookPanel.jp-Document { + min-width: 240px; + min-height: 120px; +} + +.jp-Notebook { + padding: var(--jp-notebook-padding); + outline: none; + overflow: auto; + background: var(--jp-layout-color0); +} + +.jp-Notebook.jp-mod-scrollPastEnd::after { + display: block; + content: ''; + min-height: var(--jp-notebook-scroll-padding); +} + +.jp-MainAreaWidget-ContainStrict .jp-Notebook * { + contain: strict; +} + +.jp-Notebook .jp-Cell { + overflow: visible; +} + +.jp-Notebook .jp-Cell .jp-InputPrompt { + cursor: move; +} + +/*----------------------------------------------------------------------------- +| Notebook state related styling +| +| The notebook and cells each have states, here are the possibilities: +| +| - Notebook +| - Command +| - Edit +| - Cell +| - None +| - Active (only one can be active) +| - Selected (the cells actions are applied to) +| - Multiselected (when multiple selected, the cursor) +| - No outputs +|----------------------------------------------------------------------------*/ + +/* Command or edit modes */ + +.jp-Notebook .jp-Cell:not(.jp-mod-active) .jp-InputPrompt { + opacity: var(--jp-cell-prompt-not-active-opacity); + color: var(--jp-cell-prompt-not-active-font-color); +} + +.jp-Notebook .jp-Cell:not(.jp-mod-active) .jp-OutputPrompt { + opacity: var(--jp-cell-prompt-not-active-opacity); + color: var(--jp-cell-prompt-not-active-font-color); +} + +/* cell is active */ +.jp-Notebook .jp-Cell.jp-mod-active .jp-Collapser { + background: var(--jp-brand-color1); +} + +/* cell is dirty */ +.jp-Notebook .jp-Cell.jp-mod-dirty .jp-InputPrompt { + color: var(--jp-warn-color1); +} + +.jp-Notebook .jp-Cell.jp-mod-dirty .jp-InputPrompt::before { + color: var(--jp-warn-color1); + content: '•'; +} + +.jp-Notebook .jp-Cell.jp-mod-active.jp-mod-dirty .jp-Collapser { + background: var(--jp-warn-color1); +} + +/* collapser is hovered */ +.jp-Notebook .jp-Cell .jp-Collapser:hover { + box-shadow: var(--jp-elevation-z2); + background: var(--jp-brand-color1); + opacity: var(--jp-cell-collapser-not-active-hover-opacity); +} + +/* cell is active and collapser is hovered */ +.jp-Notebook .jp-Cell.jp-mod-active .jp-Collapser:hover { + background: var(--jp-brand-color0); + opacity: 1; +} + +/* Command mode */ + +.jp-Notebook.jp-mod-commandMode .jp-Cell.jp-mod-selected { + background: var(--jp-notebook-multiselected-color); +} + +.jp-Notebook.jp-mod-commandMode + .jp-Cell.jp-mod-active.jp-mod-selected:not(.jp-mod-multiSelected) { + background: transparent; +} + +/* Edit mode */ + +.jp-Notebook.jp-mod-editMode .jp-Cell.jp-mod-active .jp-InputArea-editor { + border: var(--jp-border-width) solid var(--jp-cell-editor-active-border-color); + box-shadow: var(--jp-input-box-shadow); + background-color: var(--jp-cell-editor-active-background); +} + +/*----------------------------------------------------------------------------- +| Notebook drag and drop +|----------------------------------------------------------------------------*/ + +.jp-Notebook-cell.jp-mod-dropSource { + opacity: 0.5; +} + +.jp-Notebook-cell.jp-mod-dropTarget, +.jp-Notebook.jp-mod-commandMode + .jp-Notebook-cell.jp-mod-active.jp-mod-selected.jp-mod-dropTarget { + border-top-color: var(--jp-private-notebook-selected-color); + border-top-style: solid; + border-top-width: 2px; +} + +.jp-dragImage { + display: block; + flex-direction: row; + width: var(--jp-private-notebook-dragImage-width); + height: var(--jp-private-notebook-dragImage-height); + border: var(--jp-border-width) solid var(--jp-cell-editor-border-color); + background: var(--jp-cell-editor-background); + overflow: visible; +} + +.jp-dragImage-singlePrompt { + box-shadow: 2px 2px 4px 0 rgba(0, 0, 0, 0.12); +} + +.jp-dragImage .jp-dragImage-content { + flex: 1 1 auto; + z-index: 2; + font-size: var(--jp-code-font-size); + font-family: var(--jp-code-font-family); + line-height: var(--jp-code-line-height); + padding: var(--jp-code-padding); + border: var(--jp-border-width) solid var(--jp-cell-editor-border-color); + background: var(--jp-cell-editor-background-color); + color: var(--jp-content-font-color3); + text-align: left; + margin: 4px 4px 4px 0; +} + +.jp-dragImage .jp-dragImage-prompt { + flex: 0 0 auto; + min-width: 36px; + color: var(--jp-cell-inprompt-font-color); + padding: var(--jp-code-padding); + padding-left: 12px; + font-family: var(--jp-cell-prompt-font-family); + letter-spacing: var(--jp-cell-prompt-letter-spacing); + line-height: 1.9; + font-size: var(--jp-code-font-size); + border: var(--jp-border-width) solid transparent; +} + +.jp-dragImage-multipleBack { + z-index: -1; + position: absolute; + height: 32px; + width: 300px; + top: 8px; + left: 8px; + background: var(--jp-layout-color2); + border: var(--jp-border-width) solid var(--jp-input-border-color); + box-shadow: 2px 2px 4px 0 rgba(0, 0, 0, 0.12); +} + +/*----------------------------------------------------------------------------- +| Cell toolbar +|----------------------------------------------------------------------------*/ + +.jp-NotebookTools { + display: block; + min-width: var(--jp-sidebar-min-width); + color: var(--jp-ui-font-color1); + background: var(--jp-layout-color1); + + /* This is needed so that all font sizing of children done in ems is + * relative to this base size */ + font-size: var(--jp-ui-font-size1); + overflow: auto; +} + +.jp-ActiveCellTool { + padding: 12px 0; + display: flex; +} + +.jp-ActiveCellTool-Content { + flex: 1 1 auto; +} + +.jp-ActiveCellTool .jp-ActiveCellTool-CellContent { + background: var(--jp-cell-editor-background); + border: var(--jp-border-width) solid var(--jp-cell-editor-border-color); + border-radius: 0; + min-height: 29px; +} + +.jp-ActiveCellTool .jp-InputPrompt { + min-width: calc(var(--jp-cell-prompt-width) * 0.75); +} + +.jp-ActiveCellTool-CellContent > pre { + padding: 5px 4px; + margin: 0; + white-space: normal; +} + +.jp-MetadataEditorTool { + flex-direction: column; + padding: 12px 0; +} + +.jp-RankedPanel > :not(:first-child) { + margin-top: 12px; +} + +.jp-KeySelector select.jp-mod-styled { + font-size: var(--jp-ui-font-size1); + color: var(--jp-ui-font-color0); + border: var(--jp-border-width) solid var(--jp-border-color1); +} + +.jp-KeySelector label, +.jp-MetadataEditorTool label, +.jp-NumberSetter label { + line-height: 1.4; +} + +.jp-NotebookTools .jp-select-wrapper { + margin-top: 4px; + margin-bottom: 0; +} + +.jp-NumberSetter input { + width: 100%; + margin-top: 4px; +} + +.jp-NotebookTools .jp-Collapse { + margin-top: 16px; +} + +/*----------------------------------------------------------------------------- +| Presentation Mode (.jp-mod-presentationMode) +|----------------------------------------------------------------------------*/ + +.jp-mod-presentationMode .jp-Notebook { + --jp-content-font-size1: var(--jp-content-presentation-font-size1); + --jp-code-font-size: var(--jp-code-presentation-font-size); +} + +.jp-mod-presentationMode .jp-Notebook .jp-Cell .jp-InputPrompt, +.jp-mod-presentationMode .jp-Notebook .jp-Cell .jp-OutputPrompt { + flex: 0 0 110px; +} + +/*----------------------------------------------------------------------------- +| Side-by-side Mode (.jp-mod-sideBySide) +|----------------------------------------------------------------------------*/ +.jp-mod-sideBySide.jp-Notebook .jp-Notebook-cell { + margin-top: 3em; + margin-bottom: 3em; + margin-left: 5%; + margin-right: 5%; +} + +.jp-mod-sideBySide.jp-Notebook .jp-CodeCell { + display: grid; + grid-template-columns: minmax(0, 1fr) min-content minmax( + 0, + var(--jp-side-by-side-output-size) + ); + grid-template-rows: auto minmax(0, 1fr) auto; + grid-template-areas: + 'header header header' + 'input handle output' + 'footer footer footer'; +} + +.jp-mod-sideBySide.jp-Notebook .jp-CodeCell.jp-mod-resizedCell { + grid-template-columns: minmax(0, 1fr) min-content minmax( + 0, + var(--jp-side-by-side-resized-cell) + ); +} + +.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellHeader { + grid-area: header; +} + +.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-Cell-inputWrapper { + grid-area: input; +} + +.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-Cell-outputWrapper { + /* overwrite the default margin (no vertical separation needed in side by side move */ + margin-top: 0; + grid-area: output; +} + +.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellFooter { + grid-area: footer; +} + +.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellResizeHandle { + grid-area: handle; + user-select: none; + display: block; + height: 100%; + cursor: ew-resize; + padding: 0 var(--jp-cell-padding); +} + +.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellResizeHandle::after { + content: ''; + display: block; + background: var(--jp-border-color2); + height: 100%; + width: 5px; +} + +.jp-mod-sideBySide.jp-Notebook + .jp-CodeCell.jp-mod-resizedCell + .jp-CellResizeHandle::after { + background: var(--jp-border-color0); +} + +.jp-CellResizeHandle { + display: none; +} + +/*----------------------------------------------------------------------------- +| Placeholder +|----------------------------------------------------------------------------*/ + +.jp-Cell-Placeholder { + padding-left: 55px; +} + +.jp-Cell-Placeholder-wrapper { + background: #fff; + border: 1px solid; + border-color: #e5e6e9 #dfe0e4 #d0d1d5; + border-radius: 4px; + -webkit-border-radius: 4px; + margin: 10px 15px; +} + +.jp-Cell-Placeholder-wrapper-inner { + padding: 15px; + position: relative; +} + +.jp-Cell-Placeholder-wrapper-body { + background-repeat: repeat; + background-size: 50% auto; +} + +.jp-Cell-Placeholder-wrapper-body div { + background: #f6f7f8; + background-image: -webkit-linear-gradient( + left, + #f6f7f8 0%, + #edeef1 20%, + #f6f7f8 40%, + #f6f7f8 100% + ); + background-repeat: no-repeat; + background-size: 800px 104px; + height: 104px; + position: absolute; + right: 15px; + left: 15px; + top: 15px; +} + +div.jp-Cell-Placeholder-h1 { + top: 20px; + height: 20px; + left: 15px; + width: 150px; +} + +div.jp-Cell-Placeholder-h2 { + left: 15px; + top: 50px; + height: 10px; + width: 100px; +} + +div.jp-Cell-Placeholder-content-1, +div.jp-Cell-Placeholder-content-2, +div.jp-Cell-Placeholder-content-3 { + left: 15px; + right: 15px; + height: 10px; +} + +div.jp-Cell-Placeholder-content-1 { + top: 100px; +} + +div.jp-Cell-Placeholder-content-2 { + top: 120px; +} + +div.jp-Cell-Placeholder-content-3 { + top: 140px; +} + +</style> +<style type="text/css"> +/*----------------------------------------------------------------------------- +| Copyright (c) Jupyter Development Team. +| Distributed under the terms of the Modified BSD License. +|----------------------------------------------------------------------------*/ + +/* +The following CSS variables define the main, public API for styling JupyterLab. +These variables should be used by all plugins wherever possible. In other +words, plugins should not define custom colors, sizes, etc unless absolutely +necessary. This enables users to change the visual theme of JupyterLab +by changing these variables. + +Many variables appear in an ordered sequence (0,1,2,3). These sequences +are designed to work well together, so for example, `--jp-border-color1` should +be used with `--jp-layout-color1`. The numbers have the following meanings: + +* 0: super-primary, reserved for special emphasis +* 1: primary, most important under normal situations +* 2: secondary, next most important under normal situations +* 3: tertiary, next most important under normal situations + +Throughout JupyterLab, we are mostly following principles from Google's +Material Design when selecting colors. We are not, however, following +all of MD as it is not optimized for dense, information rich UIs. +*/ + +:root { + /* Elevation + * + * We style box-shadows using Material Design's idea of elevation. These particular numbers are taken from here: + * + * https://github.com/material-components/material-components-web + * https://material-components-web.appspot.com/elevation.html + */ + + --jp-shadow-base-lightness: 0; + --jp-shadow-umbra-color: rgba( + var(--jp-shadow-base-lightness), + var(--jp-shadow-base-lightness), + var(--jp-shadow-base-lightness), + 0.2 + ); + --jp-shadow-penumbra-color: rgba( + var(--jp-shadow-base-lightness), + var(--jp-shadow-base-lightness), + var(--jp-shadow-base-lightness), + 0.14 + ); + --jp-shadow-ambient-color: rgba( + var(--jp-shadow-base-lightness), + var(--jp-shadow-base-lightness), + var(--jp-shadow-base-lightness), + 0.12 + ); + --jp-elevation-z0: none; + --jp-elevation-z1: 0 2px 1px -1px var(--jp-shadow-umbra-color), + 0 1px 1px 0 var(--jp-shadow-penumbra-color), + 0 1px 3px 0 var(--jp-shadow-ambient-color); + --jp-elevation-z2: 0 3px 1px -2px var(--jp-shadow-umbra-color), + 0 2px 2px 0 var(--jp-shadow-penumbra-color), + 0 1px 5px 0 var(--jp-shadow-ambient-color); + --jp-elevation-z4: 0 2px 4px -1px var(--jp-shadow-umbra-color), + 0 4px 5px 0 var(--jp-shadow-penumbra-color), + 0 1px 10px 0 var(--jp-shadow-ambient-color); + --jp-elevation-z6: 0 3px 5px -1px var(--jp-shadow-umbra-color), + 0 6px 10px 0 var(--jp-shadow-penumbra-color), + 0 1px 18px 0 var(--jp-shadow-ambient-color); + --jp-elevation-z8: 0 5px 5px -3px var(--jp-shadow-umbra-color), + 0 8px 10px 1px var(--jp-shadow-penumbra-color), + 0 3px 14px 2px var(--jp-shadow-ambient-color); + --jp-elevation-z12: 0 7px 8px -4px var(--jp-shadow-umbra-color), + 0 12px 17px 2px var(--jp-shadow-penumbra-color), + 0 5px 22px 4px var(--jp-shadow-ambient-color); + --jp-elevation-z16: 0 8px 10px -5px var(--jp-shadow-umbra-color), + 0 16px 24px 2px var(--jp-shadow-penumbra-color), + 0 6px 30px 5px var(--jp-shadow-ambient-color); + --jp-elevation-z20: 0 10px 13px -6px var(--jp-shadow-umbra-color), + 0 20px 31px 3px var(--jp-shadow-penumbra-color), + 0 8px 38px 7px var(--jp-shadow-ambient-color); + --jp-elevation-z24: 0 11px 15px -7px var(--jp-shadow-umbra-color), + 0 24px 38px 3px var(--jp-shadow-penumbra-color), + 0 9px 46px 8px var(--jp-shadow-ambient-color); + + /* Borders + * + * The following variables, specify the visual styling of borders in JupyterLab. + */ + + --jp-border-width: 1px; + --jp-border-color0: var(--md-grey-400); + --jp-border-color1: var(--md-grey-400); + --jp-border-color2: var(--md-grey-300); + --jp-border-color3: var(--md-grey-200); + --jp-inverse-border-color: var(--md-grey-600); + --jp-border-radius: 2px; + + /* UI Fonts + * + * The UI font CSS variables are used for the typography all of the JupyterLab + * user interface elements that are not directly user generated content. + * + * The font sizing here is done assuming that the body font size of --jp-ui-font-size1 + * is applied to a parent element. When children elements, such as headings, are sized + * in em all things will be computed relative to that body size. + */ + + --jp-ui-font-scale-factor: 1.2; + --jp-ui-font-size0: 0.83333em; + --jp-ui-font-size1: 13px; /* Base font size */ + --jp-ui-font-size2: 1.2em; + --jp-ui-font-size3: 1.44em; + --jp-ui-font-family: system-ui, -apple-system, blinkmacsystemfont, 'Segoe UI', + helvetica, arial, sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji', + 'Segoe UI Symbol'; + + /* + * Use these font colors against the corresponding main layout colors. + * In a light theme, these go from dark to light. + */ + + /* Defaults use Material Design specification */ + --jp-ui-font-color0: rgba(0, 0, 0, 1); + --jp-ui-font-color1: rgba(0, 0, 0, 0.87); + --jp-ui-font-color2: rgba(0, 0, 0, 0.54); + --jp-ui-font-color3: rgba(0, 0, 0, 0.38); + + /* + * Use these against the brand/accent/warn/error colors. + * These will typically go from light to darker, in both a dark and light theme. + */ + + --jp-ui-inverse-font-color0: rgba(255, 255, 255, 1); + --jp-ui-inverse-font-color1: rgba(255, 255, 255, 1); + --jp-ui-inverse-font-color2: rgba(255, 255, 255, 0.7); + --jp-ui-inverse-font-color3: rgba(255, 255, 255, 0.5); + + /* Content Fonts + * + * Content font variables are used for typography of user generated content. + * + * The font sizing here is done assuming that the body font size of --jp-content-font-size1 + * is applied to a parent element. When children elements, such as headings, are sized + * in em all things will be computed relative to that body size. + */ + + --jp-content-line-height: 1.6; + --jp-content-font-scale-factor: 1.2; + --jp-content-font-size0: 0.83333em; + --jp-content-font-size1: 14px; /* Base font size */ + --jp-content-font-size2: 1.2em; + --jp-content-font-size3: 1.44em; + --jp-content-font-size4: 1.728em; + --jp-content-font-size5: 2.0736em; + + /* This gives a magnification of about 125% in presentation mode over normal. */ + --jp-content-presentation-font-size1: 17px; + --jp-content-heading-line-height: 1; + --jp-content-heading-margin-top: 1.2em; + --jp-content-heading-margin-bottom: 0.8em; + --jp-content-heading-font-weight: 500; + + /* Defaults use Material Design specification */ + --jp-content-font-color0: rgba(0, 0, 0, 1); + --jp-content-font-color1: rgba(0, 0, 0, 0.87); + --jp-content-font-color2: rgba(0, 0, 0, 0.54); + --jp-content-font-color3: rgba(0, 0, 0, 0.38); + --jp-content-link-color: var(--md-blue-900); + --jp-content-font-family: system-ui, -apple-system, blinkmacsystemfont, + 'Segoe UI', helvetica, arial, sans-serif, 'Apple Color Emoji', + 'Segoe UI Emoji', 'Segoe UI Symbol'; + + /* + * Code Fonts + * + * Code font variables are used for typography of code and other monospaces content. + */ + + --jp-code-font-size: 13px; + --jp-code-line-height: 1.3077; /* 17px for 13px base */ + --jp-code-padding: 5px; /* 5px for 13px base, codemirror highlighting needs integer px value */ + --jp-code-font-family-default: menlo, consolas, 'DejaVu Sans Mono', monospace; + --jp-code-font-family: var(--jp-code-font-family-default); + + /* This gives a magnification of about 125% in presentation mode over normal. */ + --jp-code-presentation-font-size: 16px; + + /* may need to tweak cursor width if you change font size */ + --jp-code-cursor-width0: 1.4px; + --jp-code-cursor-width1: 2px; + --jp-code-cursor-width2: 4px; + + /* Layout + * + * The following are the main layout colors use in JupyterLab. In a light + * theme these would go from light to dark. + */ + + --jp-layout-color0: white; + --jp-layout-color1: white; + --jp-layout-color2: var(--md-grey-200); + --jp-layout-color3: var(--md-grey-400); + --jp-layout-color4: var(--md-grey-600); + + /* Inverse Layout + * + * The following are the inverse layout colors use in JupyterLab. In a light + * theme these would go from dark to light. + */ + + --jp-inverse-layout-color0: #111; + --jp-inverse-layout-color1: var(--md-grey-900); + --jp-inverse-layout-color2: var(--md-grey-800); + --jp-inverse-layout-color3: var(--md-grey-700); + --jp-inverse-layout-color4: var(--md-grey-600); + + /* Brand/accent */ + + --jp-brand-color0: var(--md-blue-900); + --jp-brand-color1: var(--md-blue-700); + --jp-brand-color2: var(--md-blue-300); + --jp-brand-color3: var(--md-blue-100); + --jp-brand-color4: var(--md-blue-50); + --jp-accent-color0: var(--md-green-900); + --jp-accent-color1: var(--md-green-700); + --jp-accent-color2: var(--md-green-300); + --jp-accent-color3: var(--md-green-100); + + /* State colors (warn, error, success, info) */ + + --jp-warn-color0: var(--md-orange-900); + --jp-warn-color1: var(--md-orange-700); + --jp-warn-color2: var(--md-orange-300); + --jp-warn-color3: var(--md-orange-100); + --jp-error-color0: var(--md-red-900); + --jp-error-color1: var(--md-red-700); + --jp-error-color2: var(--md-red-300); + --jp-error-color3: var(--md-red-100); + --jp-success-color0: var(--md-green-900); + --jp-success-color1: var(--md-green-700); + --jp-success-color2: var(--md-green-300); + --jp-success-color3: var(--md-green-100); + --jp-info-color0: var(--md-cyan-900); + --jp-info-color1: var(--md-cyan-700); + --jp-info-color2: var(--md-cyan-300); + --jp-info-color3: var(--md-cyan-100); + + /* Cell specific styles */ + + --jp-cell-padding: 5px; + --jp-cell-collapser-width: 8px; + --jp-cell-collapser-min-height: 20px; + --jp-cell-collapser-not-active-hover-opacity: 0.6; + --jp-cell-editor-background: var(--md-grey-100); + --jp-cell-editor-border-color: var(--md-grey-300); + --jp-cell-editor-box-shadow: inset 0 0 2px var(--md-blue-300); + --jp-cell-editor-active-background: var(--jp-layout-color0); + --jp-cell-editor-active-border-color: var(--jp-brand-color1); + --jp-cell-prompt-width: 64px; + --jp-cell-prompt-font-family: var(--jp-code-font-family-default); + --jp-cell-prompt-letter-spacing: 0; + --jp-cell-prompt-opacity: 1; + --jp-cell-prompt-not-active-opacity: 0.5; + --jp-cell-prompt-not-active-font-color: var(--md-grey-700); + + /* A custom blend of MD grey and blue 600 + * See https://meyerweb.com/eric/tools/color-blend/#546E7A:1E88E5:5:hex */ + --jp-cell-inprompt-font-color: #307fc1; + + /* A custom blend of MD grey and orange 600 + * https://meyerweb.com/eric/tools/color-blend/#546E7A:F4511E:5:hex */ + --jp-cell-outprompt-font-color: #bf5b3d; + + /* Notebook specific styles */ + + --jp-notebook-padding: 10px; + --jp-notebook-select-background: var(--jp-layout-color1); + --jp-notebook-multiselected-color: var(--md-blue-50); + + /* The scroll padding is calculated to fill enough space at the bottom of the + notebook to show one single-line cell (with appropriate padding) at the top + when the notebook is scrolled all the way to the bottom. We also subtract one + pixel so that no scrollbar appears if we have just one single-line cell in the + notebook. This padding is to enable a 'scroll past end' feature in a notebook. + */ + --jp-notebook-scroll-padding: calc( + 100% - var(--jp-code-font-size) * var(--jp-code-line-height) - + var(--jp-code-padding) - var(--jp-cell-padding) - 1px + ); + + /* Rendermime styles */ + + --jp-rendermime-error-background: #fdd; + --jp-rendermime-table-row-background: var(--md-grey-100); + --jp-rendermime-table-row-hover-background: var(--md-light-blue-50); + + /* Dialog specific styles */ + + --jp-dialog-background: rgba(0, 0, 0, 0.25); + + /* Console specific styles */ + + --jp-console-padding: 10px; + + /* Toolbar specific styles */ + + --jp-toolbar-border-color: var(--jp-border-color1); + --jp-toolbar-micro-height: 8px; + --jp-toolbar-background: var(--jp-layout-color1); + --jp-toolbar-box-shadow: 0 0 2px 0 rgba(0, 0, 0, 0.24); + --jp-toolbar-header-margin: 4px 4px 0 4px; + --jp-toolbar-active-background: var(--md-grey-300); + + /* Statusbar specific styles */ + + --jp-statusbar-height: 24px; + + /* Input field styles */ + + --jp-input-box-shadow: inset 0 0 2px var(--md-blue-300); + --jp-input-active-background: var(--jp-layout-color1); + --jp-input-hover-background: var(--jp-layout-color1); + --jp-input-background: var(--md-grey-100); + --jp-input-border-color: var(--jp-inverse-border-color); + --jp-input-active-border-color: var(--jp-brand-color1); + --jp-input-active-box-shadow-color: rgba(19, 124, 189, 0.3); + + /* General editor styles */ + + --jp-editor-selected-background: #d9d9d9; + --jp-editor-selected-focused-background: #d7d4f0; + --jp-editor-cursor-color: var(--jp-ui-font-color0); + + /* Code mirror specific styles */ + + --jp-mirror-editor-keyword-color: #008000; + --jp-mirror-editor-atom-color: #88f; + --jp-mirror-editor-number-color: #080; + --jp-mirror-editor-def-color: #00f; + --jp-mirror-editor-variable-color: var(--md-grey-900); + --jp-mirror-editor-variable-2-color: rgb(0, 54, 109); + --jp-mirror-editor-variable-3-color: #085; + --jp-mirror-editor-punctuation-color: #05a; + --jp-mirror-editor-property-color: #05a; + --jp-mirror-editor-operator-color: #a2f; + --jp-mirror-editor-comment-color: #408080; + --jp-mirror-editor-string-color: #ba2121; + --jp-mirror-editor-string-2-color: #708; + --jp-mirror-editor-meta-color: #a2f; + --jp-mirror-editor-qualifier-color: #555; + --jp-mirror-editor-builtin-color: #008000; + --jp-mirror-editor-bracket-color: #997; + --jp-mirror-editor-tag-color: #170; + --jp-mirror-editor-attribute-color: #00c; + --jp-mirror-editor-header-color: blue; + --jp-mirror-editor-quote-color: #090; + --jp-mirror-editor-link-color: #00c; + --jp-mirror-editor-error-color: #f00; + --jp-mirror-editor-hr-color: #999; + + /* + RTC user specific colors. + These colors are used for the cursor, username in the editor, + and the icon of the user. + */ + + --jp-collaborator-color1: #ffad8e; + --jp-collaborator-color2: #dac83d; + --jp-collaborator-color3: #72dd76; + --jp-collaborator-color4: #00e4d0; + --jp-collaborator-color5: #45d4ff; + --jp-collaborator-color6: #e2b1ff; + --jp-collaborator-color7: #ff9de6; + + /* Vega extension styles */ + + --jp-vega-background: white; + + /* Sidebar-related styles */ + + --jp-sidebar-min-width: 250px; + + /* Search-related styles */ + + --jp-search-toggle-off-opacity: 0.5; + --jp-search-toggle-hover-opacity: 0.8; + --jp-search-toggle-on-opacity: 1; + --jp-search-selected-match-background-color: rgb(245, 200, 0); + --jp-search-selected-match-color: black; + --jp-search-unselected-match-background-color: var( + --jp-inverse-layout-color0 + ); + --jp-search-unselected-match-color: var(--jp-ui-inverse-font-color0); + + /* Icon colors that work well with light or dark backgrounds */ + --jp-icon-contrast-color0: var(--md-purple-600); + --jp-icon-contrast-color1: var(--md-green-600); + --jp-icon-contrast-color2: var(--md-pink-600); + --jp-icon-contrast-color3: var(--md-blue-600); + + /* Button colors */ + --jp-accept-color-normal: var(--md-blue-700); + --jp-accept-color-hover: var(--md-blue-800); + --jp-accept-color-active: var(--md-blue-900); + --jp-warn-color-normal: var(--md-red-700); + --jp-warn-color-hover: var(--md-red-800); + --jp-warn-color-active: var(--md-red-900); + --jp-reject-color-normal: var(--md-grey-600); + --jp-reject-color-hover: var(--md-grey-700); + --jp-reject-color-active: var(--md-grey-800); + + /* File or activity icons and switch semantic variables */ + --jp-jupyter-icon-color: #f37626; + --jp-notebook-icon-color: #f37626; + --jp-json-icon-color: var(--md-orange-700); + --jp-console-icon-background-color: var(--md-blue-700); + --jp-console-icon-color: white; + --jp-terminal-icon-background-color: var(--md-grey-800); + --jp-terminal-icon-color: var(--md-grey-200); + --jp-text-editor-icon-color: var(--md-grey-700); + --jp-inspector-icon-color: var(--md-grey-700); + --jp-switch-color: var(--md-grey-400); + --jp-switch-true-position-color: var(--md-orange-900); +} +</style> +<style type="text/css"> +/* Force rendering true colors when outputing to pdf */ +* { + -webkit-print-color-adjust: exact; +} + +/* Misc */ +a.anchor-link { + display: none; +} + +/* Input area styling */ +.jp-InputArea { + overflow: hidden; +} + +.jp-InputArea-editor { + overflow: hidden; +} + +.cm-editor.cm-s-jupyter .highlight pre { +/* weird, but --jp-code-padding defined to be 5px but 4px horizontal padding is hardcoded for pre.cm-line */ + padding: var(--jp-code-padding) 4px; + margin: 0; + + font-family: inherit; + font-size: inherit; + line-height: inherit; + color: inherit; + +} + +.jp-OutputArea-output pre { + line-height: inherit; + font-family: inherit; +} + +.jp-RenderedText pre { + color: var(--jp-content-font-color1); + font-size: var(--jp-code-font-size); +} + +/* Hiding the collapser by default */ +.jp-Collapser { + display: none; +} + +@page { + margin: 0.5in; /* Margin for each printed piece of paper */ +} + +@media print { + .jp-Cell-inputWrapper, + .jp-Cell-outputWrapper { + display: block; + } +} +</style> +<!-- Load mathjax --> +<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/latest.js?config=TeX-AMS_CHTML-full,Safe"> </script> +<!-- MathJax configuration --> +<script type="text/x-mathjax-config"> + init_mathjax = function() { + if (window.MathJax) { + // MathJax loaded + MathJax.Hub.Config({ + TeX: { + equationNumbers: { + autoNumber: "AMS", + useLabelIds: true + } + }, + tex2jax: { + inlineMath: [ ['$','$'], ["\\(","\\)"] ], + displayMath: [ ['$$','$$'], ["\\[","\\]"] ], + processEscapes: true, + processEnvironments: true + }, + displayAlign: 'center', + CommonHTML: { + linebreaks: { + automatic: true + } + } + }); + + MathJax.Hub.Queue(["Typeset", MathJax.Hub]); + } + } + init_mathjax(); + </script> +<!-- End of mathjax configuration --><script type="module"> + document.addEventListener("DOMContentLoaded", async () => { + const diagrams = document.querySelectorAll(".jp-Mermaid > pre.mermaid"); + // do not load mermaidjs if not needed + if (!diagrams.length) { + return; + } + const mermaid = (await import("https://cdnjs.cloudflare.com/ajax/libs/mermaid/10.6.0/mermaid.esm.min.mjs")).default; + const parser = new DOMParser(); + + mermaid.initialize({ + maxTextSize: 100000, + startOnLoad: false, + fontFamily: window + .getComputedStyle(document.body) + .getPropertyValue("--jp-ui-font-family"), + theme: document.querySelector("body[data-jp-theme-light='true']") + ? 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For: 9th October, 2024.</em></p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=366ef404"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<h2 id="Overview">Overview<a class="anchor-link" href="#Overview">¶</a></h2><p>This assignment is aimed to develop an understanding of the <strong>Ordinary Differential Equation (ODE)</strong>. There will be two sections about cooling and heating scenerios, corresponding to the first-order and the second-order ODEs. Please go through the text that follows and perform all steps outlined therein.</p> +<h2 id="Part-1:-First-order-ODE">Part 1: First-order ODE<a class="anchor-link" href="#Part-1:-First-order-ODE">¶</a></h2><p>In the study of heat transfer, <strong>Newton's law of cooling</strong> is a physical law which states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its environment. It can be expressed in the form of ODE, as below:</p> +$$\frac{dT}{dt}=-k(T - T_s)$$<p>where $T$ is the temperature of the object at time $t$, $T_s$ is the temperature of the surrounding and assumed to be constant, and $k$ is the constant that characterizes the ability of the object to exchange the +heat energy (unit 1/s), which depends on the specific material properties.</p> +<p>Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $s^{-1}$.</p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=73781a3c"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 1.1:</b> +<p>Suppose the considered period of time is long enough (bring it to steady state), what will be the final temperature of the object?</p> +<p><strong>Write your answer in the following markdown cell.</strong></p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=3081d88d"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=06320ed9"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p>Next, let's evaluate the temperature of the object by checking it at a series of time points.</p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=18cbde20"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 1.2:</b> +<p>Write the algebraic representation of the ODE using Explicit Euler.</p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=bec070a5"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=579a9440"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 1.3:</b> +<p>Compute the temperature evolution in the next 60 seconds.</p> +<p><strong>Please complete the missing parts of the code in each step below, which is divided into 5 substeps (a through e).</strong></p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=88b861bc"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 1.3a:</b> +<p>The time step of 5 seconds is constant. Discretize the time points, the solution vector $T$ and define the initial condition.</p> +</p> +</div> +</div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=b44aa057"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [20]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span> +<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span> + +<span class="n">dt</span> <span class="o">=</span><span class="n">YOUR_CODE_HERE</span> +<span class="n">t_end</span> <span class="o">=</span><span class="n">YOUR_CODE_HERE</span> +<span class="n">Ts</span> <span class="o">=</span> <span class="mi">20</span> <span class="c1"># [C] </span> +<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [s^-1]</span> + +<span class="n">t</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> +<span class="n">n</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> +<span class="n">T</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> +<span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> +</pre></div> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=4586d4b6"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 1.3b:</b> +<p>Implement your time discretization and find the solution from $t=0$ until $t=60$ sec.</p> +</p> +</div> +</div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=0bf8247e"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span> + <span class="n">T</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> + +<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">T</span><span class="p">,</span> <span class="s1">'o-'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (s)'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T (deg)'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">()</span> +</pre></div> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=ffb4547f"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 1.3c:</b> +<p>Try different time steps to check the stability of the calculation. At which value the solution is stable?</p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=59bcbb0a"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=8a907a09"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 1.3d:</b> +<p>Obtain the mathematical expression that proves your stability criteria.</p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=eb00c9ab"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=1ff1e4fe"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 1.3e:</b> +<p>Now, discretize the equation using Implicit (Backward) Euler. Can you find a time step that makes the problem unstable?</p> +</p> +</div> +</div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=18c73272"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="n">dt</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> +<span class="n">t_end</span> <span class="o">=</span> <span class="mi">60</span> +<span class="n">Ts</span> <span class="o">=</span> <span class="mi">20</span> <span class="c1"># [C] </span> +<span class="n">k</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># [s^-1]</span> + +<span class="n">t</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> +<span class="n">n</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> +<span class="n">T</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> +<span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> + +<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span> + <span class="n">T</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> + +<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">T</span><span class="p">,</span> <span class="s1">'o-'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t (s)'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T (deg)'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">()</span> +</pre></div> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=2109f010"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<h2 id="Part-2:-Second-order-ODE">Part 2: Second-order ODE<a class="anchor-link" href="#Part-2:-Second-order-ODE">¶</a></h2><p>The following 1D equation describes the steady state solution of the temperature along a pin that sticks out of a furnace. The rest of the pin is exposed to the ambient.</p> +$$ +\frac{d^2T}{dx^2} -\alpha(T-T_s)=0 +$$<p>The ambient temperature is $T_s= 30^o$ C and the temperature at the wall is $250^o$ C. The length of the pin is 0.1m. Your grid should have a spatial step of 0.02 m. Finally, $\alpha=500$.</p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=5bf9639d"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p>The solution includes the steps:</p> +<ol> +<li>Use the Taylor series to obtain an approximation for the derivatives;</li> +<li>Discretize the equation;</li> +<li>Define parameters and grid;</li> +<li>Provide boundary conditions;</li> +<li>Build matrix with solution $AT=b$</li> +<li>Solve the matrix</li> +</ol> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=babd0424"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.1:</b> +<p>This task has three parts: a) discretize the analytic expression into a system of equations using central differences, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.</p> +<p><em>Parts 2.1b and 2.1c do not need to be completed in order; in fact, it may be useful to go back and forth between the two in order to understand the problem.</em></p> +</p></div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=1f70b8e9"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.1a:</b> +<p>Discretize the analytic expression into a system of equations for a grid with 6 points using central differences.</p> +<p><em>Write your answer by hand using paper/tablet and include the image below.</em></p> +</p></div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=81a5f165"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p><em>Your answer here.</em></p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=c513ff65"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.1b:</b> +<p>Write the system of equations by hand for a grid with 6 points. In other words, construct the matrix A and vectors T and b.</p> +<p><em>Write your answer by hand using paper/tablet and include the image below.</em></p> +</p></div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=cb9ff085"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p><em>Your answer here.</em></p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=fae61d18"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.1c:</b> +<p>Implement the discretized system of equations in a code cell.</p> +<p><em>We have already done this for you! Your task is to read the cell and make sure you understand how the matrices are implemented. Reading the code should help you formulate the matrices in Task 2.1b.</em></p> +</p></div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=89fd190c"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p><em>Add your image here.</em></p> +</div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=53fb4f99"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span> +<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span> + +<span class="n">Ts</span> <span class="o">=</span> <span class="mi">30</span> +<span class="n">alpha</span> <span class="o">=</span> <span class="mi">500</span> +<span class="n">dx</span><span class="o">=</span><span class="mf">0.02</span> + +<span class="c1"># grid creation</span> +<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mf">0.1</span><span class="o">+</span><span class="n">dx</span><span class="p">,</span><span class="n">dx</span><span class="p">)</span> +<span class="n">T</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">x</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span> +<span class="n">n</span><span class="o">=</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> + +<span class="c1"># boundary conditions</span> +<span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="mi">250</span> +<span class="n">T</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">Ts</span> + +<span class="c1"># Building matrix A</span> +<span class="n">matrix_element</span> <span class="o">=</span> <span class="o">-</span><span class="p">(</span><span class="mi">2</span><span class="o">+</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">alpha</span><span class="p">)</span> +<span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">))</span> +<span class="n">np</span><span class="o">.</span><span class="n">fill_diagonal</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">matrix_element</span><span class="p">)</span> +<span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">)]</span> <span class="o">=</span> <span class="mi">1</span> <span class="c1"># Upper diagonal</span> +<span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">)]</span> <span class="o">=</span> <span class="mi">1</span> <span class="c1"># Lower diagonal</span> +<span class="nb">print</span><span class="p">(</span><span class="n">A</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span> +<span class="c1"># Building vector b</span> +<span class="n">b_element</span> <span class="o">=</span> <span class="o">-</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">alpha</span><span class="o">*</span><span class="n">Ts</span> +<span class="n">b</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">)</span> <span class="o">+</span> <span class="n">b_element</span> +<span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> +<span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">T</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> + +<span class="c1"># Solving the system</span> +<span class="n">T</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">solve</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">b</span><span class="p">)</span> + +<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">T</span><span class="p">,</span><span class="s1">'*'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">'Estimated solution'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'x'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">'Estimated solution using Central Difference method'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">()</span> +<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span> + +<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s1">'The estimated temperature at the nodes are: </span><span class="si">{</span><span class="p">[</span><span class="sa">f</span><span class="s2">"</span><span class="si">{</span><span class="n">temp</span><span class="si">:</span><span class="s2">.2f</span><span class="si">}</span><span class="s2">"</span><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">temp</span><span class="w"> </span><span class="ow">in</span><span class="w"> </span><span class="n">T</span><span class="p">]</span><span class="si">}</span><span class="s1"> [C]'</span><span class="p">)</span> +</pre></div> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=fab32745"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2:</b> +<p>This task will adapt the problem from 2.1 to incorporate Neumann boundary conditions in three steps: a) writing the new matrix by hand, b) adapting the code from 2.1c, c) reflecting on what this represents physically.</p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=97594dc4"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2a:</b> +<p>Write the system of equations by hand for a grid with 6 points, incorporating the Neumann condition.</p> +<p>Approximate the Neuman boundary $\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy.</p> +<p><em>Write your answer by hand using paper/tablet and include the image below.</em></p> +</p></div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=82e00391"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p><em>Your answer here.</em></p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=5dbe120c"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2b:</b> +<p>Now adapt the code from Task 2.1c and revise it to incorporate the Neumann boundary condition.</p> +<p><em>Copy and past the code from 2.1c below, then modify it.</em></p> +</p> +</div> +</div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=ac2255d4"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="n">YOUR_CODE_HERE</span> +</pre></div> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=cf1cd521"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.2c:</b> +<p>Reflect on the difference between the problem solved in Task 2.1 in comparison to 2.2. How are we changing the physics of the problem being solved by changing the boundary condition? What does this mean in reality for the temperature distribution in the bar over time?</p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=891da8f3"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +</div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=cfcd00f9"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="n">Ts</span> <span class="o">=</span> <span class="mi">30</span> +<span class="n">alpha</span> <span class="o">=</span> <span class="mi">500</span> +<span class="n">dx</span><span class="o">=</span><span class="mf">0.02</span> + +<span class="c1"># grid creation</span> +<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mf">0.1</span><span class="o">+</span><span class="n">dx</span><span class="p">,</span><span class="n">dx</span><span class="p">)</span> +<span class="n">T</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">x</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span> +<span class="n">n</span><span class="o">=</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> + +<span class="c1"># boundary conditions</span> +<span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="mi">250</span> + + +<span class="c1"># Building matrix A</span> +<span class="n">matrix_element</span> <span class="o">=</span> <span class="o">-</span><span class="p">(</span><span class="mi">2</span><span class="o">+</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">alpha</span><span class="p">)</span> +<span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">))</span> +<span class="n">np</span><span class="o">.</span><span class="n">fill_diagonal</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">matrix_element</span><span class="p">)</span> +<span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">)]</span> <span class="o">=</span> <span class="mi">1</span> <span class="c1"># Upper diagonal</span> +<span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">)]</span> <span class="o">=</span> <span class="mi">1</span> <span class="c1"># Lower diagonal</span> +<span class="nb">print</span><span class="p">(</span><span class="n">A</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span> +<span class="n">A</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">alpha</span><span class="p">)</span> <span class="c1">#the matrix changes</span> + +<span class="c1"># Building vector b</span> +<span class="n">b_element</span> <span class="o">=</span> <span class="o">-</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">alpha</span><span class="o">*</span><span class="n">Ts</span> +<span class="n">b</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">)</span> <span class="o">+</span> <span class="n">b_element</span> +<span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> +<span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="c1">#the vector b also changes</span> + +<span class="c1"># Solving the system</span> + +<span class="n">T</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">solve</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">b</span><span class="p">)</span> +<span class="n">T</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">T</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">]</span> + +<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">T</span><span class="p">,</span><span class="s1">'*'</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="s1">'Estimated solution'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'x'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">'Estimated solution using Central Difference method'</span><span class="p">)</span> +<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">()</span> +<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span> + +<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s1">'The estimated temperature at the nodes are: </span><span class="si">{</span><span class="p">[</span><span class="sa">f</span><span class="s2">"</span><span class="si">{</span><span class="n">temp</span><span class="si">:</span><span class="s2">.2f</span><span class="si">}</span><span class="s2">"</span><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">temp</span><span class="w"> </span><span class="ow">in</span><span class="w"> </span><span class="n">T</span><span class="p">]</span><span class="si">}</span><span class="s1"> [C]'</span><span class="p">)</span> +</pre></div> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=57632792"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.3:</b> +<p>Just as we did in Task 2.1, this task has three parts: a) discretize the analytic expression into a system of equations using <b>forward differences</b>, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.</p> +<p>Here we focus on <b>Dirichlet</b> conditions again.</p> +</p></div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=2d4b9fb9"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.3a:</b> +<p>Discretize the analytic expression into a system of equations for a grid with 6 points using <b>forward differences</b>.</p> +<p><em>Write your answer by hand using paper/tablet and include the image below.</em></p> +</p></div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=1c5ec2f2"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p><em>Your answer here.</em></p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=361f1638"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.3b:</b> +<p>Write the system of equations by hand for a grid with 6 points. In other words, construct the matrix A and vectors T and b.</p> +<p><em>Write your answer by hand using paper/tablet and include the image below.</em></p> +</p></div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=047a38d3"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p><em>Your answer here.</em></p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=3996b611"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.3c:</b> +<p>Implement the discretized system of equations in a code cell.</p> +<p><b>This time we did not do it for you!</b> Copy the code from Task 2.1c and revise it to solve the system of equations using <b>Forward Differences</b>. Keep the Dirichlet conditions.</p> +</p></div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=1e783d3e"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="n">YOUR_CODE_HERE</span> +</pre></div> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=bac6bb0f"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> +<p> +<b>Task 2.4:</b> +<p>How much finer does your grid has to be in the forward difference implementation to get a similar value at x = 0.02 as in the central difference implementation? Vary your dx.</p> +</p> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=dd2ead47"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p><em>Your answer here.</em></p> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=031dca37"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px"> +<p> +<b>Bonus Task</b> +<p>The matrix inversion using numpy is one way to solve the system, another is the <code>gauss_jordan</code> method, written below, and another one is the sparse matrix-based method in the cell afterwards. Here, we will just have a brief comparison to see how these solvers perform when the matrix is large. Change <code>dx</code> to 0.0002 of the original code that solves the second degree ODE and test the time it takes by each method.</p> +</p> +</div> +</div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=5f7cdec7"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [107]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">gauss_jordan</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">b</span><span class="p">):</span> +<span class="w"> </span><span class="sd">"""</span> +<span class="sd"> Solves the system of linear equations Ax = b using Gauss-Jordan elimination.</span> +<span class="sd"> </span> +<span class="sd"> Parameters:</span> +<span class="sd"> A (numpy.ndarray): Coefficient matrix (n x n).</span> +<span class="sd"> b (numpy.ndarray): Right-hand side vector (n).</span> +<span class="sd"> </span> +<span class="sd"> Returns:</span> +<span class="sd"> numpy.ndarray: Solution vector (x) if the system has a unique solution.</span> +<span class="sd"> """</span> + <span class="c1"># Form the augmented matrix [A | b]</span> + <span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="nb">float</span><span class="p">)</span> + <span class="n">b</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="nb">float</span><span class="p">)</span> + <span class="n">aug_matrix</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">hstack</span><span class="p">([</span><span class="n">A</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">)])</span> + + <span class="n">n</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">b</span><span class="p">)</span> <span class="c1"># Number of rows (or variables)</span> + + <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">n</span><span class="p">):</span> + <span class="c1"># Partial pivoting to handle zero diagonal elements (optional, but more robust)</span> + <span class="n">max_row</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">aug_matrix</span><span class="p">[</span><span class="n">i</span><span class="p">:,</span> <span class="n">i</span><span class="p">]))</span> <span class="o">+</span> <span class="n">i</span> + <span class="k">if</span> <span class="n">aug_matrix</span><span class="p">[</span><span class="n">max_row</span><span class="p">,</span> <span class="n">i</span><span class="p">]</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span> + <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s2">"The matrix is singular and cannot be solved."</span><span class="p">)</span> + <span class="k">if</span> <span class="n">max_row</span> <span class="o">!=</span> <span class="n">i</span><span class="p">:</span> + <span class="n">aug_matrix</span><span class="p">[[</span><span class="n">i</span><span class="p">,</span> <span class="n">max_row</span><span class="p">]]</span> <span class="o">=</span> <span class="n">aug_matrix</span><span class="p">[[</span><span class="n">max_row</span><span class="p">,</span> <span class="n">i</span><span class="p">]]</span> + + <span class="c1"># Make the diagonal element 1</span> + <span class="n">aug_matrix</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">aug_matrix</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">/</span> <span class="n">aug_matrix</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="n">i</span><span class="p">]</span> + + <span class="c1"># Make all other elements in the current column 0</span> + <span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">n</span><span class="p">):</span> + <span class="k">if</span> <span class="n">j</span> <span class="o">!=</span> <span class="n">i</span><span class="p">:</span> + <span class="n">aug_matrix</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="o">-=</span> <span class="n">aug_matrix</span><span class="p">[</span><span class="n">j</span><span class="p">,</span> <span class="n">i</span><span class="p">]</span> <span class="o">*</span> <span class="n">aug_matrix</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> + + <span class="c1"># Extract the solution (last column of the augmented matrix)</span> + <span class="k">return</span> <span class="n">aug_matrix</span><span class="p">[:,</span> <span class="o">-</span><span class="mi">1</span><span class="p">]</span> +</pre></div> +</div> +</div> +</div> +</div> +</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=fbd32c69"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"> +<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div> +<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"> +<div class="cm-editor cm-s-jupyter"> +<div class="highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">time</span> +<span class="kn">from</span> <span class="nn">scipy.sparse</span> <span class="kn">import</span> <span class="n">csc_matrix</span> +<span class="kn">from</span> <span class="nn">scipy.sparse.linalg</span> <span class="kn">import</span> <span class="n">spsolve</span> + +<span class="c1"># Inverted matrix solution</span> +<span class="n">start_time</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">time</span><span class="p">()</span> +<span class="n">A_inv</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">inv</span><span class="p">(</span><span class="n">A</span><span class="p">)</span> +<span class="n">T</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">A_inv</span> <span class="o">@</span> <span class="n">b</span> +<span class="n">time_used_0</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">time</span><span class="p">()</span> <span class="o">-</span> <span class="n">start_time</span> +<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">"The time used by direct matrix inversion solution is </span><span class="si">{</span><span class="n">time_used_0</span><span class="si">:</span><span class="s2"> 0.3e</span><span class="si">}</span><span class="s2"> sec"</span><span class="p">)</span> +<span class="k">assert</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">T</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]),</span> <span class="n">b</span><span class="p">),</span> <span class="s2">"Oops! The calculation is wrong.."</span> + + +<span class="c1"># Gauss-jordan solution</span> +<span class="n">start_time</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">time</span><span class="p">()</span> +<span class="n">u1</span> <span class="o">=</span> <span class="n">gauss_jordan</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span> +<span class="n">time_used_1</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">time</span><span class="p">()</span> <span class="o">-</span> <span class="n">start_time</span> +<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">"The time used by Gauss-jordan solution is </span><span class="si">{</span><span class="n">time_used_1</span><span class="si">:</span><span class="s2"> 0.3e</span><span class="si">}</span><span class="s2"> sec"</span><span class="p">)</span> +<span class="c1">#Check if the solution is correct:</span> +<span class="k">assert</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">u1</span><span class="p">),</span> <span class="n">b</span><span class="p">),</span> <span class="s2">"Oops! The calculation is wrong.."</span> + +<span class="c1"># Solution by a sparse matrix solver </span> +<span class="n">start_time</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">time</span><span class="p">()</span> +<span class="n">A_sparse</span> <span class="o">=</span> <span class="n">csc_matrix</span><span class="p">(</span><span class="n">A</span><span class="p">)</span><span class="c1"># Convert A to a compressed sparse column (CSC) matrix</span> +<span class="n">u2</span> <span class="o">=</span> <span class="n">spsolve</span><span class="p">(</span><span class="n">A_sparse</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span> +<span class="n">time_used_2</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">time</span><span class="p">()</span> <span class="o">-</span> <span class="n">start_time</span> +<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">"The time used by the sparse matrix solver is </span><span class="si">{</span><span class="n">time_used_2</span><span class="si">:</span><span class="s2"> 0.3e</span><span class="si">}</span><span class="s2"> sec"</span><span class="p">)</span> +<span class="c1">#Check if the solution is correct:</span> +<span class="k">assert</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">u2</span><span class="p">),</span> <span class="n">b</span><span class="p">),</span> <span class="s2">"Oops! The calculation is wrong.."</span> +</pre></div> +</div> +</div> +</div> +</div> +</div> +<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=2921b3f2"> +<div class="jp-Cell-inputWrapper" tabindex="0"> +<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"> +</div> +<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"> +</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"> +<p><strong>End of notebook.</strong></p> +<h2 style="height: 60px"> +</h2> +<h3 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; bottom: 60px; right: 50px; margin: 0; border: 0"> +<style> + .markdown {width:100%; position: relative} + article { position: relative } + </style> +<a href="http://creativecommons.org/licenses/by-nc-sa/4.0/" rel="license"> +<img alt="Creative Commons License" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png" style="border-width:; width:88px; height:auto; padding-top:10px"/> +</a> +<a href="https://www.tudelft.nl/en/ceg" rel="TU Delft"> +<img alt="TU Delft" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" style="border-width:0; width:100px; height:auto; padding-bottom:0px"/> +</a> +<a href="http://mude.citg.tudelft.nl/" rel="MUDE"> +<img alt="MUDE" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png" style="border-width:0; width:100px; height:auto; padding-bottom:0px"/> +</a> +</h3> +<span style="font-size: 75%"> +© Copyright 2023 <a href="https://studiegids.tudelft.nl/a101_displayCourse.do?course_id=65595" rel="MUDE Team">MUDE Teaching Team</a> TU Delft. This work is licensed under a <a href="http://creativecommons.org/licenses/by-nc-sa/4.0/" rel="license">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>. + +</span></div> +</div> +</div> +</div> +</div></div></div></div></div></div></div></div></main> +</body> +<script type="application/vnd.jupyter.widget-state+json"> +{"state": {}, "version_major": 2, "version_minor": 0} +</script> +</html> diff --git a/src/teachers/Week_1_6/WS_1_6_time_to_c_ode.ipynb b/src/teachers/Week_1_6/WS_1_6_time_to_c_ode.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..3ef121b1fec3a51dcfaff46928753c4b88a66652 --- /dev/null +++ b/src/teachers/Week_1_6/WS_1_6_time_to_c_ode.ipynb @@ -0,0 +1,863 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "1d48ad6c", + "metadata": { + "id": "9adbf457-797f-45b7-8f8b-0e46e0e2f5ff" + }, + "source": [ + "# WS 1.6: Understanding Ordinary Differential Equation\n", + "\n", + "<h1 style=\"position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0\">\n", + " <style>\n", + " .markdown {width:100%; position: relative}\n", + " article { position: relative }\n", + " </style>\n", + " <img src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png\" style=\"width:100px\" />\n", + " <img src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png\" style=\"width:100px\" />\n", + "\n", + "</h1>\n", + "<h2 style=\"height: 10px\">\n", + "</h2>\n", + "\n", + "*[CEGM1000 MUDE](http://mude.citg.tudelft.nl/): Week 1.6. For: 9th October, 2024.*" + ] + }, + { + "cell_type": "markdown", + "id": "366ef404", + "metadata": {}, + "source": [ + "## Overview\n", + "\n", + "\n", + "This assignment is aimed to develop an understanding of the **Ordinary Differential Equation (ODE)**. There will be two sections about cooling and heating scenerios, corresponding to the first-order and the second-order ODEs. Please go through the text that follows and perform all steps outlined therein.\n", + "\n", + "## Part 1: First-order ODE\n", + "\n", + "In the study of heat transfer, **Newton's law of cooling** is a physical law which states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its environment. It can be expressed in the form of ODE, as below:\n", + "\n", + "$$\\frac{dT}{dt}=-k(T - T_s)$$\n", + "\n", + "where $T$ is the temperature of the object at time $t$, $T_s$ is the temperature of the surrounding and assumed to be constant, and $k$ is the constant that characterizes the ability of the object to exchange the\n", + "heat energy (unit 1/s), which depends on the specific material properties.\n", + "\n", + "\n", + "Now, Let's consider an object with the initial temperature of 50°C in a surrounding environment with constant temperature at 20°C. The constant of heat exchange between the object and the environment is 0.5 $s^{-1}$.\n" + ] + }, + { + "cell_type": "markdown", + "id": "73781a3c", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 1.1:</b>\n", + " \n", + "Suppose the considered period of time is long enough (bring it to steady state), what will be the final temperature of the object? \n", + " \n", + "**Write your answer in the following markdown cell.**\n", + " \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "3081d88d", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "id": "06320ed9", + "metadata": {}, + "source": [ + "Next, let's evaluate the temperature of the object by checking it at a series of time points." + ] + }, + { + "cell_type": "markdown", + "id": "18cbde20", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 1.2:</b>\n", + "\n", + "Write the algebraic representation of the ODE using Explicit Euler.\n", + " \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "bec070a5", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "id": "579a9440", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 1.3:</b>\n", + "\n", + "Compute the temperature evolution in the next 60 seconds.\n", + "\n", + "**Please complete the missing parts of the code in each step below, which is divided into 5 substeps (a through e).**\n", + " \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "88b861bc", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 1.3a:</b> \n", + "\n", + "The time step of 5 seconds is constant. Discretize the time points, the solution vector $T$ and define the initial condition.\n", + " \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "b44aa057", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "dt =YOUR_CODE_HERE \n", + "t_end =YOUR_CODE_HERE \n", + "Ts = 20 # [C] \n", + "k = 0.5 # [s^-1]\n", + "\n", + "t = YOUR_CODE_HERE\n", + "n = YOUR_CODE_HERE\n", + "T = YOUR_CODE_HERE\n", + "T[0] = YOUR_CODE_HERE\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "4586d4b6", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 1.3b:</b> \n", + "\n", + "Implement your time discretization and find the solution from $t=0$ until $t=60$ sec. \n", + " \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0bf8247e", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "for i in range(n-1):\n", + " T[i+1] = YOUR_CODE_HERE\n", + " \n", + "plt.plot(t, T, 'o-')\n", + "plt.xlabel('t (s)')\n", + "plt.ylabel('T (deg)')\n", + "plt.grid()" + ] + }, + { + "cell_type": "markdown", + "id": "ffb4547f", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 1.3c:</b>\n", + "\n", + "Try different time steps to check the stability of the calculation. At which value the solution is stable?\n", + " \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "59bcbb0a", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "id": "8a907a09", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 1.3d:</b>\n", + "\n", + "Obtain the mathematical expression that proves your stability criteria.\n", + " \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "eb00c9ab", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "id": "1ff1e4fe", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 1.3e:</b>\n", + "\n", + "Now, discretize the equation using Implicit (Backward) Euler. Can you find a time step that makes the problem unstable?\n", + " \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "18c73272", + "metadata": {}, + "outputs": [], + "source": [ + "dt = YOUR_CODE_HERE \n", + "t_end = 60 \n", + "Ts = 20 # [C] \n", + "k = 0.5 # [s^-1]\n", + "\n", + "t = YOUR_CODE_HERE\n", + "n = YOUR_CODE_HERE\n", + "T = YOUR_CODE_HERE\n", + "T[0] = YOUR_CODE_HERE\n", + "\n", + "for i in range(n-1):\n", + " T[i+1] = YOUR_CODE_HERE \n", + " \n", + "plt.plot(t, T, 'o-')\n", + "plt.xlabel('t (s)')\n", + "plt.ylabel('T (deg)')\n", + "plt.grid()" + ] + }, + { + "cell_type": "markdown", + "id": "2109f010", + "metadata": {}, + "source": [ + "## Part 2: Second-order ODE\n", + "\n", + "The following 1D equation describes the steady state solution of the temperature along a pin that sticks out of a furnace. The rest of the pin is exposed to the ambient. \n", + "\n", + "$$\n", + "\\frac{d^2T}{dx^2} -\\alpha(T-T_s)=0\n", + "$$\n", + "\n", + "The ambient temperature is $T_s= 30^o$ C and the temperature at the wall is $250^o$ C. The length of the pin is 0.1m. Your grid should have a spatial step of 0.02 m. Finally, $\\alpha=500$." + ] + }, + { + "cell_type": "markdown", + "id": "5bf9639d", + "metadata": {}, + "source": [ + "\n", + "The solution includes the steps:\n", + "1. Use the Taylor series to obtain an approximation for the derivatives;\n", + "2. Discretize the equation;\n", + "3. Define parameters and grid;\n", + "4. Provide boundary conditions;\n", + "5. Build matrix with solution $AT=b$\n", + "6. Solve the matrix" + ] + }, + { + "cell_type": "markdown", + "id": "babd0424", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.1:</b>\n", + "\n", + "This task has three parts: a) discretize the analytic expression into a system of equations using central differences, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.\n", + "\n", + "<em>Parts 2.1b and 2.1c do not need to be completed in order; in fact, it may be useful to go back and forth between the two in order to understand the problem.</em> \n", + " \n" + ] + }, + { + "cell_type": "markdown", + "id": "1f70b8e9", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.1a:</b>\n", + "\n", + "Discretize the analytic expression into a system of equations for a grid with 6 points using central differences.\n", + "\n", + "<em>Write your answer by hand using paper/tablet and include the image below.</em>\n", + " \n" + ] + }, + { + "cell_type": "markdown", + "id": "81a5f165", + "metadata": {}, + "source": [ + "_Your answer here._" + ] + }, + { + "cell_type": "markdown", + "id": "c513ff65", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.1b:</b>\n", + "\n", + "Write the system of equations by hand for a grid with 6 points. In other words, construct the matrix A and vectors T and b.\n", + "\n", + "<em>Write your answer by hand using paper/tablet and include the image below.</em>\n", + " \n" + ] + }, + { + "cell_type": "markdown", + "id": "cb9ff085", + "metadata": {}, + "source": [ + "_Your answer here._" + ] + }, + { + "cell_type": "markdown", + "id": "fae61d18", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.1c:</b>\n", + "\n", + "Implement the discretized system of equations in a code cell.\n", + "\n", + "<em>We have already done this for you! Your task is to read the cell and make sure you understand how the matrices are implemented. Reading the code should help you formulate the matrices in Task 2.1b.</em>\n", + " \n" + ] + }, + { + "cell_type": "markdown", + "id": "89fd190c", + "metadata": {}, + "source": [ + "_Add your image here._" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "53fb4f99", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np \n", + "import matplotlib.pyplot as plt\n", + "\n", + "Ts = 30\n", + "alpha = 500\n", + "dx=0.02\n", + "\n", + "# grid creation\n", + "x = np.arange(0,0.1+dx,dx)\n", + "T = np.zeros(x.shape)\n", + "n=len(x)\n", + "\n", + "# boundary conditions\n", + "T[0] = 250\n", + "T[-1] = Ts\n", + "\n", + "# Building matrix A\n", + "matrix_element = -(2+dx**2*alpha)\n", + "A = np.zeros((len(x)-2,len(x)-2))\n", + "np.fill_diagonal(A, matrix_element)\n", + "A[np.arange(n-3), np.arange(1, n-2)] = 1 # Upper diagonal\n", + "A[np.arange(1, n-2), np.arange(n-3)] = 1 # Lower diagonal\n", + "print(A.shape)\n", + "# Building vector b\n", + "b_element = -dx**2*alpha*Ts\n", + "b = np.zeros(len(x)-2) + b_element\n", + "b[0] = b[0] - T[0]\n", + "b[-1] = b[-1] - T[-1]\n", + "\n", + "# Solving the system\n", + "T[1:-1] = np.linalg.solve(A,b)\n", + "\n", + "plt.plot(x,T,'*',label='Estimated solution')\n", + "plt.xlabel('x')\n", + "plt.ylabel('T')\n", + "plt.title('Estimated solution using Central Difference method')\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "print(f'The estimated temperature at the nodes are: {[f\"{temp:.2f}\" for temp in T]} [C]')" + ] + }, + { + "cell_type": "markdown", + "id": "fab32745", + "metadata": {}, + "source": [ + "\n", + "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2:</b>\n", + "\n", + "This task will adapt the problem from 2.1 to incorporate Neumann boundary conditions in three steps: a) writing the new matrix by hand, b) adapting the code from 2.1c, c) reflecting on what this represents physically.\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "97594dc4", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2a:</b>\n", + "\n", + "Write the system of equations by hand for a grid with 6 points, incorporating the Neumann condition.\n", + "\n", + "Approximate the Neuman boundary $\\frac{dT}{dx}=0$ by using the Backward difference for first order differential equation of first order accuracy.\n", + "\n", + "<em>Write your answer by hand using paper/tablet and include the image below.</em>\n", + " \n" + ] + }, + { + "cell_type": "markdown", + "id": "82e00391", + "metadata": {}, + "source": [ + "_Your answer here._" + ] + }, + { + "cell_type": "markdown", + "id": "5dbe120c", + "metadata": {}, + "source": [ + "\n", + "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2b:</b>\n", + "\n", + "Now adapt the code from Task 2.1c and revise it to incorporate the Neumann boundary condition.\n", + "\n", + "<em>Copy and past the code from 2.1c below, then modify it.</em>\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ac2255d4", + "metadata": {}, + "outputs": [], + "source": [ + "YOUR_CODE_HERE" + ] + }, + { + "cell_type": "markdown", + "id": "cf1cd521", + "metadata": {}, + "source": [ + "\n", + "\n", + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.2c:</b>\n", + "\n", + "Reflect on the difference between the problem solved in Task 2.1 in comparison to 2.2. How are we changing the physics of the problem being solved by changing the boundary condition? What does this mean in reality for the temperature distribution in the bar over time?\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "891da8f3", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cfcd00f9", + "metadata": {}, + "outputs": [], + "source": [ + "Ts = 30\n", + "alpha = 500\n", + "dx=0.02\n", + " \n", + "# grid creation\n", + "x = np.arange(0,0.1+dx,dx)\n", + "T = np.zeros(x.shape)\n", + "n=len(x)\n", + " \n", + "# boundary conditions\n", + "T[0] = 250\n", + " \n", + " \n", + "# Building matrix A\n", + "matrix_element = -(2+dx**2*alpha)\n", + "A = np.zeros((len(x)-2,len(x)-2))\n", + "np.fill_diagonal(A, matrix_element)\n", + "A[np.arange(n-3), np.arange(1, n-2)] = 1 # Upper diagonal\n", + "A[np.arange(1, n-2), np.arange(n-3)] = 1 # Lower diagonal\n", + "print(A.shape)\n", + "A[-1,-1] = -(1+dx**2*alpha) #the matrix changes\n", + " \n", + "# Building vector b\n", + "b_element = -dx**2*alpha*Ts\n", + "b = np.zeros(len(x)-2) + b_element\n", + "b[0] = b[0] - T[0]\n", + "b[-1] = b[-1] #the vector b also changes\n", + " \n", + "# Solving the system\n", + "\n", + "T[1:-1] = np.linalg.solve(A,b)\n", + "T[-1] = T[-2] \n", + "\n", + "plt.plot(x,T,'*',label='Estimated solution')\n", + "plt.xlabel('x')\n", + "plt.ylabel('T')\n", + "plt.title('Estimated solution using Central Difference method')\n", + "plt.legend()\n", + "plt.show()\n", + " \n", + "print(f'The estimated temperature at the nodes are: {[f\"{temp:.2f}\" for temp in T]} [C]')" + ] + }, + { + "cell_type": "markdown", + "id": "57632792", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.3:</b>\n", + "\n", + "Just as we did in Task 2.1, this task has three parts: a) discretize the analytic expression into a system of equations using <b>forward differences</b>, b) write the system of equations by hand (e.g., the matrices), and c) implement the discretized system of equations in a code cell.\n", + "\n", + "Here we focus on <b>Dirichlet</b> conditions again.\n", + "</div> \n" + ] + }, + { + "cell_type": "markdown", + "id": "2d4b9fb9", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.3a:</b>\n", + "\n", + "Discretize the analytic expression into a system of equations for a grid with 6 points using <b>forward differences</b>.\n", + "\n", + "<em>Write your answer by hand using paper/tablet and include the image below.</em>\n", + " \n" + ] + }, + { + "cell_type": "markdown", + "id": "1c5ec2f2", + "metadata": {}, + "source": [ + "_Your answer here._" + ] + }, + { + "cell_type": "markdown", + "id": "361f1638", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.3b:</b>\n", + "\n", + "Write the system of equations by hand for a grid with 6 points. In other words, construct the matrix A and vectors T and b.\n", + "\n", + "<em>Write your answer by hand using paper/tablet and include the image below.</em>\n", + " \n" + ] + }, + { + "cell_type": "markdown", + "id": "047a38d3", + "metadata": {}, + "source": [ + "_Your answer here._" + ] + }, + { + "cell_type": "markdown", + "id": "3996b611", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%;vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.3c:</b>\n", + "\n", + "Implement the discretized system of equations in a code cell.\n", + "\n", + "<b>This time we did not do it for you!</b> Copy the code from Task 2.1c and revise it to solve the system of equations using <b>Forward Differences</b>. Keep the Dirichlet conditions.\n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1e783d3e", + "metadata": {}, + "outputs": [], + "source": [ + "YOUR_CODE_HERE" + ] + }, + { + "cell_type": "markdown", + "id": "bac6bb0f", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", + "<p>\n", + "<b>Task 2.4:</b>\n", + "\n", + "How much finer does your grid has to be in the forward difference implementation to get a similar value at x = 0.02 as in the central difference implementation? Vary your dx.\n", + "\n", + "\n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "markdown", + "id": "dd2ead47", + "metadata": {}, + "source": [ + "_Your answer here._" + ] + }, + { + "cell_type": "markdown", + "id": "031dca37", + "metadata": {}, + "source": [ + "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; width:95%; border-radius: 10px\">\n", + "<p>\n", + "<b>Bonus Task</b> \n", + " \n", + "The matrix inversion using numpy is one way to solve the system, another is the <code>gauss_jordan</code> method, written below, and another one is the sparse matrix-based method in the cell afterwards. Here, we will just have a brief comparison to see how these solvers perform when the matrix is large. Change <code>dx</code> to 0.0002 of the original code that solves the second degree ODE and test the time it takes by each method.\n", + " \n", + "</p>\n", + "</div>" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "5f7cdec7", + "metadata": {}, + "outputs": [], + "source": [ + "def gauss_jordan(A, b):\n", + " \"\"\"\n", + " Solves the system of linear equations Ax = b using Gauss-Jordan elimination.\n", + " \n", + " Parameters:\n", + " A (numpy.ndarray): Coefficient matrix (n x n).\n", + " b (numpy.ndarray): Right-hand side vector (n).\n", + " \n", + " Returns:\n", + " numpy.ndarray: Solution vector (x) if the system has a unique solution.\n", + " \"\"\"\n", + " # Form the augmented matrix [A | b]\n", + " A = np.array(A, dtype=float)\n", + " b = np.array(b, dtype=float)\n", + " aug_matrix = np.hstack([A, b.reshape(-1, 1)])\n", + " \n", + " n = len(b) # Number of rows (or variables)\n", + " \n", + " for i in range(n):\n", + " # Partial pivoting to handle zero diagonal elements (optional, but more robust)\n", + " max_row = np.argmax(np.abs(aug_matrix[i:, i])) + i\n", + " if aug_matrix[max_row, i] == 0:\n", + " raise ValueError(\"The matrix is singular and cannot be solved.\")\n", + " if max_row != i:\n", + " aug_matrix[[i, max_row]] = aug_matrix[[max_row, i]]\n", + " \n", + " # Make the diagonal element 1\n", + " aug_matrix[i] = aug_matrix[i] / aug_matrix[i, i]\n", + " \n", + " # Make all other elements in the current column 0\n", + " for j in range(n):\n", + " if j != i:\n", + " aug_matrix[j] -= aug_matrix[j, i] * aug_matrix[i]\n", + " \n", + " # Extract the solution (last column of the augmented matrix)\n", + " return aug_matrix[:, -1]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fbd32c69", + "metadata": {}, + "outputs": [], + "source": [ + "import time\n", + "from scipy.sparse import csc_matrix\n", + "from scipy.sparse.linalg import spsolve\n", + "\n", + "# Inverted matrix solution\n", + "start_time = time.time()\n", + "A_inv = np.linalg.inv(A)\n", + "T[1:-1] = A_inv @ b\n", + "time_used_0 = time.time() - start_time\n", + "print(f\"The time used by direct matrix inversion solution is {time_used_0: 0.3e} sec\")\n", + "assert np.allclose(np.dot(A, T[1:-1]), b), \"Oops! The calculation is wrong..\"\n", + "\n", + "\n", + "# Gauss-jordan solution\n", + "start_time = time.time()\n", + "u1 = gauss_jordan(A, b)\n", + "time_used_1 = time.time() - start_time\n", + "print(f\"The time used by Gauss-jordan solution is {time_used_1: 0.3e} sec\")\n", + "#Check if the solution is correct:\n", + "assert np.allclose(np.dot(A, u1), b), \"Oops! The calculation is wrong..\"\n", + "\n", + "# Solution by a sparse matrix solver \n", + "start_time = time.time()\n", + "A_sparse = csc_matrix(A)# Convert A to a compressed sparse column (CSC) matrix\n", + "u2 = spsolve(A_sparse, b)\n", + "time_used_2 = time.time() - start_time\n", + "print(f\"The time used by the sparse matrix solver is {time_used_2: 0.3e} sec\")\n", + "#Check if the solution is correct:\n", + "assert np.allclose(np.dot(A, u2), b), \"Oops! The calculation is wrong..\"" + ] + }, + { + "cell_type": "markdown", + "id": "2921b3f2", + "metadata": {}, + "source": [ + "**End of notebook.**\n", + "<h2 style=\"height: 60px\">\n", + "</h2>\n", + "<h3 style=\"position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; bottom: 60px; right: 50px; margin: 0; border: 0\">\n", + " <style>\n", + " .markdown {width:100%; position: relative}\n", + " article { position: relative }\n", + " </style>\n", + " <a rel=\"license\" href=\"http://creativecommons.org/licenses/by-nc-sa/4.0/\">\n", + " <img alt=\"Creative Commons License\" style=\"border-width:; width:88px; height:auto; padding-top:10px\" src=\"https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png\" />\n", + " </a>\n", + " <a rel=\"TU Delft\" href=\"https://www.tudelft.nl/en/ceg\">\n", + " <img alt=\"TU Delft\" style=\"border-width:0; width:100px; height:auto; padding-bottom:0px\" src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png\"/>\n", + " </a>\n", + " <a rel=\"MUDE\" href=\"http://mude.citg.tudelft.nl/\">\n", + " <img alt=\"MUDE\" style=\"border-width:0; width:100px; height:auto; padding-bottom:0px\" src=\"https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png\"/>\n", + " </a>\n", + " \n", + "</h3>\n", + "<span style=\"font-size: 75%\">\n", + "© Copyright 2023 <a rel=\"MUDE Team\" href=\"https://studiegids.tudelft.nl/a101_displayCourse.do?course_id=65595\">MUDE Teaching Team</a> TU Delft. This work is licensed under a <a rel=\"license\" href=\"http://creativecommons.org/licenses/by-nc-sa/4.0/\">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "mude-base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + }, + "latex_envs": { + "LaTeX_envs_menu_present": true, + "autoclose": false, + "autocomplete": true, + "bibliofile": "biblio.bib", + "cite_by": "apalike", + "current_citInitial": 1, + "eqLabelWithNumbers": true, + "eqNumInitial": 1, + "hotkeys": { + "equation": "Ctrl-E", + "itemize": "Ctrl-I" + }, + "labels_anchors": false, + "latex_user_defs": false, + "report_style_numbering": false, + "user_envs_cfg": false + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}