ag-gipp/GoUldI

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data/224.json

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{
  "definitions": {
    "\\mathbf{B}": [
      {
        "Q43144845": "complex matrix"
      }
    ],
    "\\mathbf{B}^{*}": [
      "complex conjugate of B",
      {}
    ],
    "\\sigma_{3}": [
      {
        "Q46195707": "Third pauli matrix"
      }
    ]
  },
  "constraints": [],
  "math_inputtex": "\\mathbf{B}^{*}\\mathbf{\\sigma_{3}}\\mathbf{B}=\\mathbf{\\sigma_{3}}.",
  "math_inputtex_semantic": "\\wDef{Q43144845}{B}\\wDef{Q46195707}{\\sigma_{3}} \\conjM{\\mathbf{B}} \\mathbf{\\sigma_{3}} \\mathbf{B} = \\mathbf{\\sigma_{3}}",
  "correct_tex": "\\mathbf{B}^{*}\\mathbf{\\sigma_{3}}\\mathbf{B}=\\mathbf{\\sigma_{3}}",
  "correct_mml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"\n      xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n      alttext=\"\\conjM{\\mathbf{B}}\\mathbf{\\sigma_{3}}\\mathbf{B}=\\mathbf{\\sigma_{3}}\"\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.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n         <mrow id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n            <msup id=\"p1.1.m1.1.1.4\" xref=\"p1.1.m1.1.1.1.cmml\">\n               <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">𝐁</mi>\n               <mo id=\"p1.1.m1.1.1.3.1\" xref=\"p1.1.m1.1.1.1.1.cmml\">†</mo>\n            </msup>\n            <mo id=\"p1.1.m1.1.8.1.1\" xref=\"p1.1.m1.1.8.1.1.cmml\">⁢</mo>\n            <msub id=\"p1.1.m1.1.8.1.2\" xref=\"p1.1.m1.1.8.1.2.cmml\">\n               <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">σ</mi>\n               <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">𝟑</mn>\n            </msub>\n            <mo id=\"p1.1.m1.1.8.1.1a\" xref=\"p1.1.m1.1.8.1.1.cmml\">⁢</mo>\n            <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">𝐁</mi>\n         </mrow>\n         <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=</mo>\n         <msub id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n            <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">σ</mi>\n            <mn id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">𝟑</mn>\n         </msub>\n      </mrow>\n      <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n         <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n            <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"/>\n            <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n               <times id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1.1\"/>\n               <apply id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.4\">\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1\">Q2051983</csymbol>\n                  <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">𝐁</ci>\n               </apply>\n               <apply id=\"p1.1.m1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.8.1.2\">\n                  <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">𝜎</ci>\n                  <cn id=\"p1.1.m1.1.3.1.cmml\" type=\"integer\" xref=\"p1.1.m1.1.3.1\">3</cn>\n               </apply>\n               <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">𝐁</ci>\n            </apply>\n            <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n               <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">𝜎</ci>\n               <cn id=\"p1.1.m1.1.7.1.cmml\" type=\"integer\" xref=\"p1.1.m1.1.7.1\">3</cn>\n            </apply>\n         </apply>\n      </annotation-xml>\n      <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\conjM{\\mathbf{B}}\\mathbf{\\sigma_{3}}\\mathbf{B}=\\mathbf{\\sigma_{3}}</annotation>\n  </semantics>\n</math>\n",
  "uri": "https://arxiv.org/abs/1107.1875",
  "title": "Invariation of the point of interaction",
  "comment": "",
  "type": "equation",
  "ntcir12-type": "24",
  "formula": "1_31.4",
  "page": "8",
  "ntcir12-relevance": "4"
}