ag-gipp/GoUldI

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{
  "definitions": {},
  "constraints": [],
  "math_inputtex": "\\frac{\\mathrm{d}}{\\mathrm{d} t}\\left(\\frac{\\partial L}{\\partial \\dot{q}_{j}}\\right)=\\frac{\\partial L}{\\partial q_{j}}",
  "math_inputtex_semantic": "\\deriv{}{\\w{Q2199864}{t}}\\left(\\frac{\\w{Q2920327}{\\partial} \\w{Q505735}{L}}{\\w{Q2920327}{\\partial} \\w{Q74317892}{\\dot{q}_{j}}}\\right)=\\frac{\\w{}{\\partial} \\w{Q505735}{L}}{\\w{Q2920327}{\\partial} \\w{Q1057607}{q_{j}}}",
  "correct_tex": "\\frac{\\mathrm{d}}{\\mathrm{d} t}\\left(\\frac{\\partial L}{\\partial \\dot{q}_{j}}\\right)=\\frac{\\partial L}{\\partial q_{j}}",
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</msub>\n            </mrow>\n         </mfrac>\n      </mrow>\n      <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n         <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n            <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"/>\n            <apply id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">\n               <apply id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2\">\n                  <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2\">derivative</csymbol>\n                  <csymbol cd=\"wikidata\"\n                           id=\"p1.1.m1.1.1.2.3.1.2.cmml\"\n                           xref=\"p1.1.m1.1.1.2.3.1.2\">Q2199864</csymbol>\n               </apply>\n               <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.7.1.1\">\n                  <divide id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.7.1.1\"/>\n                  <apply id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\n                     <times 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xref=\"p1.1.m1.1.3.3.3.1\">𝑗</ci>\n                     </apply>\n                  </apply>\n               </apply>\n            </apply>\n            <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n               <divide id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\"/>\n               <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n                  <times id=\"p1.1.m1.1.6.2.3.cmml\" xref=\"p1.1.m1.1.6.2.3\"/>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2.1\">Q2920327</csymbol>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.6.2.2.cmml\" xref=\"p1.1.m1.1.6.2.2\">Q505735</csymbol>\n               </apply>\n               <apply id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\n                  <times id=\"p1.1.m1.1.6.3.4.cmml\" xref=\"p1.1.m1.1.6.3.4\"/>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.6.3.1.cmml\" xref=\"p1.1.m1.1.6.3.1\">Q2920327</csymbol>\n                  <apply id=\"p1.1.m1.1.6.3.5.cmml\" xref=\"p1.1.m1.1.6.3.5\">\n                     <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.3.5.1.cmml\" xref=\"p1.1.m1.1.6.3.5\">subscript</csymbol>\n                     <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.6.3.2.cmml\" xref=\"p1.1.m1.1.6.3.2\">Q1057607</csymbol>\n                     <ci id=\"p1.1.m1.1.6.3.3.1.cmml\" xref=\"p1.1.m1.1.6.3.3.1\">𝑗</ci>\n                  </apply>\n               </apply>\n            </apply>\n         </apply>\n      </annotation-xml>\n      <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\frac{\\mathrm{d}}{\\mathrm{d}t}\\left(\\frac{\\partial L}{\\partial\\dot{q}_{j}}%\n\\right)=\\frac{\\partial L}{\\partial q_{j}}</annotation>\n   </semantics>\n</math>\n",
  "uri": "https://www.wikidata.org/wiki/Q875744",
  "title": "euler-lagrange equation",
  "comment": "Imported from AnnoMathTeX seeding.",
  "type": "definition",
  "check": {
    "tree": true,
    "qid": true
  }
}