{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# This website's logo\n",
"> Symbolic computation with Wolfram Language kernel\n",
"\n",
"- toc: true \n",
"- badges: true\n",
"- comments: false\n",
"- categories: [jupyter]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"## Introduction\n",
"\n",
"This will only work if you have Mathematica installed in your machine. Python can interface with Wolfram Mathematica, taking advantage of its awesome power.\n",
"\n",
"The curve inside the square is a parabola:\n",
"$$\n",
"y = ax^2 + bx + c\n",
"$$\n",
"\n",
"This parabola passes through the points $(0.3, 0)$ and $(1, 1)$, and it's derivative at $(0.3, 0)$ is zero. We use Mathematica to figure out what are the parameters $a,b,c$. Finally, we transpose the line when plotting, i.e., $x$ is in the vertical axis, and $y$ is in the horizontal axis.\n",
"\n",
"## The code"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Equations may not give solutions for all \"solve\" variables.\n",
"Equations may not give solutions for all \"solve\" variables.\n"
]
},
{
"data": {
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\n",
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