ag-gipp/GoUldI

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{
  "definitions" : {
    "\\eta_{\\mu\\nu}" : [ {
      "Q757269" : "metric tensor"
    } ],
    "\\nu" : [ {
      "Q2303886" : "index",
      "Q28920052" : "non-negative integer"
    } ],
    "\\mu" : [ {
      "Q2303886" : "index",
      "Q28920052" : "non-negative integer"
    } ],
    "\\diag(-1,1,1,1)" : [ {
      "Q332791" : "diagonal matrix"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "(\\eta_{\\mu\\nu})=\\diag(-1,1,1,1)",
  "math_inputtex_semantic" : "(\\w{Q757269}{\\eta}_{\\w{Q28920052}{\\mu}\\w{Q28920052}{\\nu}})=\\diag(-1,1,1,1)",
  "correct_tex" : "(\\eta_{\\mu\\nu}) = \\operatorname{diag}(-1,1,1,1)",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"(\\eta_{\\mu\\nu})=\\diag(-1,1,1,1)\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">\n      <mrow id=\"p1.1.m1.1.17.1\" xref=\"p1.1.m1.1.17.1.2.cmml\">\n        <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.17.1.2.cmml\">(</mo>\n        <msub id=\"p1.1.m1.1.17.1.2\" xref=\"p1.1.m1.1.17.1.2.cmml\">\n          <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">η</mi>\n          <mrow id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\n            <mi id=\"p1.1.m1.1.3.1.1\" xref=\"p1.1.m1.1.3.1.1.cmml\">μ</mi>\n            <mo id=\"p1.1.m1.1.3.1.3\" xref=\"p1.1.m1.1.3.1.3.cmml\">⁢</mo>\n            <mi id=\"p1.1.m1.1.3.1.2\" xref=\"p1.1.m1.1.3.1.2.cmml\">ν</mi>\n          </mrow>\n        </msub>\n        <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.17.1.2.cmml\">)</mo>\n      </mrow>\n      <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=</mo>\n      <mrow id=\"p1.1.m1.1.17.2\" xref=\"p1.1.m1.1.17.2.cmml\">\n        <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">diag</mo>\n        <mo id=\"p1.1.m1.1.17.2a\" xref=\"p1.1.m1.1.17.2.cmml\">⁡</mo>\n        <mrow id=\"p1.1.m1.1.17.2.1\" xref=\"p1.1.m1.1.17.2.1.1.cmml\">\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.17.2.1.1.cmml\">(</mo>\n          <mrow id=\"p1.1.m1.1.17.2.1.2\" xref=\"p1.1.m1.1.17.2.1.2.cmml\">\n            <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">-</mo>\n            <mn id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">1</mn>\n          </mrow>\n          <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.17.2.1.1.cmml\">,</mo>\n          <mn id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">1</mn>\n          <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.17.2.1.1.cmml\">,</mo>\n          <mn id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">1</mn>\n          <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.17.2.1.1.cmml\">,</mo>\n          <mn id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">1</mn>\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.17.2.1.1.cmml\">)</mo>\n        </mrow>\n      </mrow>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\n        <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"/>\n        <apply id=\"p1.1.m1.1.17.1.2.cmml\" xref=\"p1.1.m1.1.17.1\">\n          <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.17.1.2.1.cmml\" xref=\"p1.1.m1.1.17.1\">subscript</csymbol>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">Q757269</csymbol>\n          <apply id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\n            <times id=\"p1.1.m1.1.3.1.3.cmml\" xref=\"p1.1.m1.1.3.1.3\"/>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1\">Q28920052</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.1.2.cmml\" xref=\"p1.1.m1.1.3.1.2\">Q28920052</csymbol>\n          </apply>\n        </apply>\n        <apply id=\"p1.1.m1.1.17.2.cmml\" xref=\"p1.1.m1.1.17.2\">\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">diagonal</csymbol>\n          <vector id=\"p1.1.m1.1.17.2.1.1.cmml\" xref=\"p1.1.m1.1.17.2.1\">\n            <apply id=\"p1.1.m1.1.17.2.1.2.cmml\" xref=\"p1.1.m1.1.17.2.1.2\">\n              <minus id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"/>\n              <cn type=\"integer\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">1</cn>\n            </apply>\n            <cn type=\"integer\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">1</cn>\n            <cn type=\"integer\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">1</cn>\n            <cn type=\"integer\" id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">1</cn>\n          </vector>\n        </apply>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">(\\eta_{\\mu\\nu})=\\diag(-1,1,1,1)</annotation>\n  </semantics>\n</math>",
  "uri" : "https://arxiv.org/abs/math/0303079",
  "title" : "Relating the Maxwell system and the Dirac equations Context 2",
  "comment" : "",
  "type" : "definition",
  "notation" : "Einstein notation",
  "ntcir12-type" : "18",
  "formula" : "1_1.20",
  "ntcir12-relevance" : "4"
}