ag-gipp/GoUldI

{
  "definitions": {},
  "constraints": [],
  "math_inputtex": "p_i = \\frac{\\partial L}{\\partial \\dot{q}_i}",
  "math_inputtex_semantic": "\\w{Q6806305}{p_i} = \\frac{\\w{Q2920327}{\\partial} \\w{Q74318512}{L}}{\\w{Q2920327}{\\partial} \\w{Q74317892}{\\dot{q}_i}}",
  "correct_tex": "p_i = \\frac{\\partial L}{\\partial \\dot{q}_i}",
  "correct_mml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"\n      xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n      alttext=\"p_{i}=\\frac{\\partial L}{\\partial\\dot{q}_{i}}\"\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         <msub id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n            <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">p</mi>\n            <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">i</mi>\n         </msub>\n         <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">=</mo>\n         <mfrac id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n            <mrow id=\"p1.1.m1.1.4.2\" xref=\"p1.1.m1.1.4.2.cmml\">\n               <mi id=\"p1.1.m1.1.4.2.1\"\n                   mathvariant=\"normal\"\n                   xref=\"p1.1.m1.1.4.2.1.cmml\">∂</mi>\n               <mo id=\"p1.1.m1.1.4.2.3\" xref=\"p1.1.m1.1.4.2.3.cmml\">⁢</mo>\n               <mi id=\"p1.1.m1.1.4.2.2\" xref=\"p1.1.m1.1.4.2.2.cmml\">L</mi>\n            </mrow>\n            <mrow id=\"p1.1.m1.1.4.3\" xref=\"p1.1.m1.1.4.3.cmml\">\n               <mi id=\"p1.1.m1.1.4.3.1\"\n                   mathvariant=\"normal\"\n                   xref=\"p1.1.m1.1.4.3.1.cmml\">∂</mi>\n               <mo id=\"p1.1.m1.1.4.3.4\" xref=\"p1.1.m1.1.4.3.4.cmml\">⁢</mo>\n               <msub id=\"p1.1.m1.1.4.3.5\" xref=\"p1.1.m1.1.4.3.5.cmml\">\n                  <mover accent=\"true\" id=\"p1.1.m1.1.4.3.2\" xref=\"p1.1.m1.1.4.3.2.cmml\">\n                     <mi id=\"p1.1.m1.1.4.3.2.2\" xref=\"p1.1.m1.1.4.3.2.cmml\">q</mi>\n                     <mo id=\"p1.1.m1.1.4.3.2.1\" xref=\"p1.1.m1.1.4.3.2.cmml\">˙</mo>\n                  </mover>\n                  <mi id=\"p1.1.m1.1.4.3.3.1\" xref=\"p1.1.m1.1.4.3.3.1.cmml\">i</mi>\n               </msub>\n            </mrow>\n         </mfrac>\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.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"/>\n            <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n               <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1\">subscript</csymbol>\n               <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q6806305</csymbol>\n               <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">𝑖</ci>\n            </apply>\n            <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n               <divide id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4\"/>\n               <apply id=\"p1.1.m1.1.4.2.cmml\" xref=\"p1.1.m1.1.4.2\">\n                  <times id=\"p1.1.m1.1.4.2.3.cmml\" xref=\"p1.1.m1.1.4.2.3\"/>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.4.2.1.cmml\" xref=\"p1.1.m1.1.4.2.1\">Q2920327</csymbol>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.4.2.2.cmml\" xref=\"p1.1.m1.1.4.2.2\">Q74318512</csymbol>\n               </apply>\n               <apply id=\"p1.1.m1.1.4.3.cmml\" xref=\"p1.1.m1.1.4.3\">\n                  <times id=\"p1.1.m1.1.4.3.4.cmml\" xref=\"p1.1.m1.1.4.3.4\"/>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.4.3.1.cmml\" xref=\"p1.1.m1.1.4.3.1\">Q2920327</csymbol>\n                  <apply id=\"p1.1.m1.1.4.3.5.cmml\" xref=\"p1.1.m1.1.4.3.5\">\n                     <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.3.5.1.cmml\" xref=\"p1.1.m1.1.4.3.5\">subscript</csymbol>\n                     <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.4.3.2.cmml\" xref=\"p1.1.m1.1.4.3.2\">Q74317892</csymbol>\n                     <ci id=\"p1.1.m1.1.4.3.3.1.cmml\" xref=\"p1.1.m1.1.4.3.3.1\">𝑖</ci>\n                  </apply>\n               </apply>\n            </apply>\n         </apply>\n      </annotation-xml>\n      <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">p_{i}=\\frac{\\partial L}{\\partial\\dot{q}_{i}}</annotation>\n   </semantics>\n</math>\n",
  "uri": "https://www.wikidata.org/wiki/Q6806305",
  "title": "generalized momentum",
  "comment": "Imported from AnnoMathTeX seeding.",
  "type": "definition",
  "check": {
    "tree": true,
    "qid": true
  }
}