ag-gipp/GoUldI

{
  "definitions": {},
  "constraints": [],
  "math_inputtex": "\\frac{\\partial S}{\\partial t}=-H",
  "math_inputtex_semantic": "\\frac{\\w{Q2920327}{\\partial} \\w{Q846785}{S}}{\\w{Q2920327}{\\partial} \\w{Q2199864}{t}}=-\\w{Q360356}{H}",
  "correct_tex": "\\frac{\\partial S}{\\partial t}=-H",
  "correct_mml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"\n      xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n      alttext=\"\\frac{\\partial S}{\\partial t}=-H\"\n      class=\"ltx_Math\"\n      display=\"inline\"\n      id=\"p1.1.m1.1\">\n   <semantics id=\"p1.1.m1.1a\">\n      <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n         <mfrac id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n            <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n               <mi id=\"p1.1.m1.1.1.2.1\"\n                   mathvariant=\"normal\"\n                   xref=\"p1.1.m1.1.1.2.1.cmml\">∂</mi>\n               <mo id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">⁢</mo>\n               <mi id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.2.cmml\">S</mi>\n            </mrow>\n            <mrow id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n               <mi id=\"p1.1.m1.1.1.3.1\"\n                   mathvariant=\"normal\"\n                   xref=\"p1.1.m1.1.1.3.1.cmml\">∂</mi>\n               <mo id=\"p1.1.m1.1.1.3.3\" xref=\"p1.1.m1.1.1.3.3.cmml\">⁢</mo>\n               <mi id=\"p1.1.m1.1.1.3.2\" xref=\"p1.1.m1.1.1.3.2.cmml\">t</mi>\n            </mrow>\n         </mfrac>\n         <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=</mo>\n         <mrow id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n            <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">-</mo>\n            <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">H</mi>\n         </mrow>\n      </mrow>\n      <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n         <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n            <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"/>\n            <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n               <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"/>\n               <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n                  <times id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\"/>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">Q2920327</csymbol>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2\">Q846785</csymbol>\n               </apply>\n               <apply id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\n                  <times id=\"p1.1.m1.1.1.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3\"/>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.3.1\">Q2920327</csymbol>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.1.3.2.cmml\" xref=\"p1.1.m1.1.1.3.2\">Q2199864</csymbol>\n               </apply>\n            </apply>\n            <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n               <minus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"/>\n               <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q360356</csymbol>\n            </apply>\n         </apply>\n      </annotation-xml>\n      <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\frac{\\partial S}{\\partial t}=-H</annotation>\n   </semantics>\n</math>\n",
  "uri": "https://www.wikidata.org/wiki/Q1060137",
  "title": "hamilton-jacobi equation",
  "comment": "Imported from AnnoMathTeX seeding.",
  "type": "general formula",
  "check": {
    "tree": true,
    "qid": true
  }
}