notebooks/sage-5.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# LaTeX names\n",
    "\n",
    "If a symbol name is after a greek symbols, it is rendered automatically using the corresponding greek symbol."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\eta = 1</script></html>"
      ],
      "text/plain": [
       "eta == 1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var('eta')\n",
    "expr1 = eta == 1\n",
    "expr1.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Variables named with a number in the end are rendered as their subscripted versions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}a_{1} + x_{2} + z_{3} = \\mathit{dg}_{1} + \\eta_{2} + \\mu_{3}</script></html>"
      ],
      "text/plain": [
       "a1 + x2 + z3 == dg1 + eta2 + mu3"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var('a1, x2, z3, dg1, eta2, mu3')\n",
    "expr2 = a1 + x2 + z3 == dg1 + eta2 + mu3\n",
    "expr2.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One can explicity state the latex_name of a variable while declarating it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\varepsilon}</script></html>"
      ],
      "text/plain": [
       "ve"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var('ve',latex_name='\\\\varepsilon')\n",
    "ve.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\Delta G_i^0} = 20.0000000000000</script></html>"
      ],
      "text/plain": [
       "DG == 20.0000000000000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var('DG', latex_name = \"\\\\Delta G_i^0\")\n",
    "expr3 = DG == 20.0\n",
    "expr3.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The latex_name can be a fairly complex one too. Make sure it is free of syntax errors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\sum_{n=0}^{n=n}{1 \\over x_n}}</script></html>"
      ],
      "text/plain": [
       "sxn"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var('sxn', latex_name = \"\\\\sum_{n=0}^{n=n}{1 \\\\over x_n}\")\n",
    "sxn.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can declare the latex_name of a function too."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "sn"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function('sn', latex_name='{\\\\sin(x) \\\\over x}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "sn(x) = sin(x)/x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{\\sin\\left(x + 1\\right)}{x + 1} + \\frac{\\sin\\left(x\\right)}{x}</script></html>"
      ],
      "text/plain": [
       "sin(x + 1)/(x + 1) + sin(x)/x"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "expr = sn(x) + sn(x+1)\n",
    "expr.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "SageMath 9.0",
   "language": "sage",
   "name": "sagemath"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
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   "pygments_lexer": "ipython3",
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}