ag-gipp/GoUldI

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{
  "definitions": {},
  "constraints": [],
  "math_inputtex": "\\mathcal{H}\\left(\\mathbf{q},\\mathbf{p},t\\right) = \\mathbf{p}\\cdot\\dot{\\mathbf{q}} - \\mathcal{L}\\left(\\mathbf{q},\\dot{\\mathbf{q}},t\\right)",
  "math_inputtex_semantic": "\\w{Q660488}{\\mathcal{H}}\\left(\\w{Q1057607}{\\mathbf{q}},\\w{Q6806305}{\\mathbf{p}},\\w{Q2199864}{t}\\right) = \\w{Q6806305}{\\mathbf{p}}\\cdot\\w{Q74317892}{\\dot{\\mathbf{q}}} - \\w{Q74318512}{\\mathcal{L}}\\left(\\w{Q1057607}{\\mathbf{q}},\\w{Q74317892}{\\dot{\\mathbf{q}}},\\w{Q2199864}{t}\\right)",
  "correct_tex": "\\mathcal{H}\\left(\\mathbf{q},\\mathbf{p},t\\right) = \\mathbf{p}\\cdot\\dot{\\mathbf{q}} - \\mathcal{L}\\left(\\mathbf{q},\\dot{\\mathbf{q}},t\\right)",
  "correct_mml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"\n      xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n      alttext=\"\\mathcal{H}\\left(\\mathbf{q},\\mathbf{p},t\\right)=\\mathbf{p}\\cdot\\dot{\\mathbf{q}%&#xA;}-\\mathcal{L}\\left(\\mathbf{q},\\dot{\\mathbf{q}},t\\right)\"\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.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">\n         <mrow id=\"p1.1.m1.1.22.1\" xref=\"p1.1.m1.1.22.1.cmml\">\n            <mi class=\"ltx_font_mathcaligraphic\"\n                id=\"p1.1.m1.1.1\"\n                xref=\"p1.1.m1.1.1.cmml\">ℋ</mi>\n            <mo id=\"p1.1.m1.1.22.1.1\" xref=\"p1.1.m1.1.22.1.1.cmml\">⁢</mo>\n            <mrow id=\"p1.1.m1.1.22.1.2\" xref=\"p1.1.m1.1.22.1.2.1.cmml\">\n               <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.22.1.2.1.cmml\">(</mo>\n               <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">𝐪</mi>\n               <mo 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xref=\"p1.1.m1.1.12.cmml\">˙</mo>\n               </mover>\n            </mrow>\n            <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">-</mo>\n            <mrow id=\"p1.1.m1.1.22.2.2\" xref=\"p1.1.m1.1.22.2.2.cmml\">\n               <mi class=\"ltx_font_mathcaligraphic\"\n                   id=\"p1.1.m1.1.14\"\n                   xref=\"p1.1.m1.1.14.cmml\">ℒ</mi>\n               <mo id=\"p1.1.m1.1.22.2.2.1\" xref=\"p1.1.m1.1.22.2.2.1.cmml\">⁢</mo>\n               <mrow id=\"p1.1.m1.1.22.2.2.2\" xref=\"p1.1.m1.1.22.2.2.2.1.cmml\">\n                  <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.22.2.2.2.1.cmml\">(</mo>\n                  <mi id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">𝐪</mi>\n                  <mo id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.22.2.2.2.1.cmml\">,</mo>\n                  <mover accent=\"true\" id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">\n                     <mi id=\"p1.1.m1.1.18.2\" xref=\"p1.1.m1.1.18.cmml\">𝐪</mi>\n                     <mo id=\"p1.1.m1.1.18.1\" xref=\"p1.1.m1.1.18.cmml\">˙</mo>\n                  </mover>\n                  <mo id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.22.2.2.2.1.cmml\">,</mo>\n                  <mi id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">t</mi>\n                  <mo id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.22.2.2.2.1.cmml\">)</mo>\n               </mrow>\n            </mrow>\n         </mrow>\n      </mrow>\n      <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n         <apply id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">\n            <eq id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\"/>\n            <apply id=\"p1.1.m1.1.22.1.cmml\" xref=\"p1.1.m1.1.22.1\">\n               <times id=\"p1.1.m1.1.22.1.1.cmml\" xref=\"p1.1.m1.1.22.1.1\"/>\n               <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q660488</csymbol>\n               <vector id=\"p1.1.m1.1.22.1.2.1.cmml\" xref=\"p1.1.m1.1.22.1.2\">\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q1057607</csymbol>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">Q6806305</csymbol>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Q2199864</csymbol>\n               </vector>\n            </apply>\n            <apply id=\"p1.1.m1.1.22.2.cmml\" xref=\"p1.1.m1.1.22.2\">\n               <minus id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\"/>\n               <apply id=\"p1.1.m1.1.22.2.1.cmml\" xref=\"p1.1.m1.1.22.2.1\">\n                  <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">⋅</ci>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">Q6806305</csymbol>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">Q74317892</csymbol>\n               </apply>\n               <apply id=\"p1.1.m1.1.22.2.2.cmml\" xref=\"p1.1.m1.1.22.2.2\">\n                  <times id=\"p1.1.m1.1.22.2.2.1.cmml\" xref=\"p1.1.m1.1.22.2.2.1\"/>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">Q74318512</csymbol>\n                  <vector id=\"p1.1.m1.1.22.2.2.2.1.cmml\" xref=\"p1.1.m1.1.22.2.2.2\">\n                     <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">Q1057607</csymbol>\n                     <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">Q74317892</csymbol>\n                     <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">Q2199864</csymbol>\n                  </vector>\n               </apply>\n            </apply>\n         </apply>\n      </annotation-xml>\n      <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\mathcal{H}\\left(\\mathbf{q},\\mathbf{p},t\\right)=\\mathbf{p}\\cdot\\dot{\\mathbf{q}%\n}-\\mathcal{L}\\left(\\mathbf{q},\\dot{\\mathbf{q}},t\\right)</annotation>\n   </semantics>\n</math>\n",
  "uri": "https://www.wikidata.org/wiki/Q660488",
  "title": "hamiltonian operator",
  "comment": "Imported from AnnoMathTeX seeding.",
  "type": "definition",
  "check": {
    "tree": false,
    "qid": true
  }
}