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- {
- "cells": [
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {},
- "outputs": [],
- "source": [
- "using Latexify"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "\\begin{align}\n",
- "\\frac{dx}{dt} =& y^{2} - x \\\\ \n",
- "\\frac{dy}{dt} =& \\frac{x}{y} - y \\\\ \n",
- "\\end{align}\n"
- ],
- "text/plain": [
- "\"\\\\begin{align}\\n\\\\frac{dx}{dt} =& y^{2} - x \\\\\\\\ \\n\\\\frac{dy}{dt} =& \\\\frac{x}{y} - y \\\\\\\\ \\n\\\\end{align}\\n\""
- ]
- },
- "execution_count": 2,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "lhs = [\"dx/dt\", \"dy/dt\"]\n",
- "rhs = [\"y^2 - x\", \"x/y - y\"]\n",
- "latexalign(lhs, rhs)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\\begin{align}\n",
- "\\frac{dx}{dt} =& y^{2} - x \\\\ \n",
- "\\frac{dy}{dt} =& \\frac{x}{y} - y \\\\ \n",
- "\\end{align}\n"
- ]
- }
- ],
- "source": [
- "print(latexalign(lhs, rhs))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "\\begin{equation}\n",
- "\\left[\n",
- "\\begin{array}{cc}\n",
- "1 & 2\\\\ \n",
- "3 & 4\\\\ \n",
- "\\end{array}\n",
- "\\right]\n",
- "\\end{equation}\n"
- ],
- "text/plain": [
- "\"\\\\begin{equation}\\n\\\\left[\\n\\\\begin{array}{cc}\\n1 & 2\\\\\\\\ \\n3 & 4\\\\\\\\ \\n\\\\end{array}\\n\\\\right]\\n\\\\end{equation}\\n\""
- ]
- },
- "execution_count": 4,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "arr = [1 2; 3 4]\n",
- "latexarray(arr)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\\begin{equation}\n",
- "\\left[\n",
- "\\begin{array}{cc}\n",
- "1 & 2\\\\ \n",
- "3 & 4\\\\ \n",
- "\\end{array}\n",
- "\\right]\n",
- "\\end{equation}\n"
- ]
- }
- ],
- "source": [
- "print(latexarray(arr))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "using ParameterizedFunctions"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "\\begin{align}\n",
- "\\frac{dx}{dt} =& \\frac{v \\cdot y^{n}}{k^{n} + y^{n}} - x \\\\ \n",
- "\\frac{dy}{dt} =& \\frac{x}{k_{2} + x} - y \\\\ \n",
- "\\end{align}\n"
- ],
- "text/plain": [
- "\"\\\\begin{align}\\n\\\\frac{dx}{dt} =& \\\\frac{v \\\\cdot y^{n}}{k^{n} + y^{n}} - x \\\\\\\\ \\n\\\\frac{dy}{dt} =& \\\\frac{x}{k_{2} + x} - y \\\\\\\\ \\n\\\\end{align}\\n\""
- ]
- },
- "execution_count": 7,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "f = @ode_def positiveFeedback begin\n",
- " dx = v*y^n/(k^n+y^n) - x\n",
- " dy = x/(k_2+x) - y\n",
- "end v=>1.0 n=>1.0 k=>1.0 k_2=>1.0\n",
- "latexalign(f)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\\begin{align}\n",
- "\\frac{dx}{dt} =& \\frac{v \\cdot y^{n}}{k^{n} + y^{n}} - x \\\\ \n",
- "\\frac{dy}{dt} =& \\frac{x}{k_{2} + x} - y \\\\ \n",
- "\\end{align}\n"
- ]
- }
- ],
- "source": [
- "print( latexalign(f) )"
- ]
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Julia 0.6.1",
- "language": "julia",
- "name": "julia-0.6"
- },
- "language_info": {
- "file_extension": ".jl",
- "mimetype": "application/julia",
- "name": "julia",
- "version": "0.6.1"
- },
- "toc": {
- "nav_menu": {},
- "number_sections": true,
- "sideBar": true,
- "skip_h1_title": false,
- "toc_cell": false,
- "toc_position": {},
- "toc_section_display": "block",
- "toc_window_display": false
- }
- },
- "nbformat": 4,
- "nbformat_minor": 2
- }
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