ag-gipp/GoUldI

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data/222.json

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{
  "definitions" : {
    "\\mathchar 22\\mkern-9.0mu\\lambda" : [ {
      "Q207387" : "Planck length"
    } ],
    "x_{1}" : [ {
      "Q126017" : "distance"
    } ],
    "x_{2}" : [ {
      "Q126017" : "distance"
    } ],
    "\\Delta" : [ {
      "Q21092339" : "Symbol"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "\\Delta x_{1}\\Delta x_{2}\\geq{\\mathchar 22\\mkern-9.0mu\\lambda}^{2}/(2\\pi)",
  "math_inputtex_semantic" : "\\w{Q47004757}{\\operatorname{\\Delta x}}_1 \\operatorname{\\Delta x}_2 \\geq {\\w{Q207387}{\\lambda}}^{2} / (2\\pi)",
  "correct_tex" : "\\Delta x_{1}\\Delta x_{2}\\geq{\\lambda}^{2}/(2\\pi)",
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stretchy=\"false\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.17.2.2.2.cmml\">(</mo>\n          <mrow id=\"p1.1.m1.1.17.2.2.2\" xref=\"p1.1.m1.1.17.2.2.2.cmml\">\n            <mn id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">2</mn>\n            <mo id=\"p1.1.m1.1.17.2.2.2.1\" xref=\"p1.1.m1.1.17.2.2.2.1.cmml\">⁢</mo>\n            <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">π</mi>\n          </mrow>\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.17.2.2.2.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        <geq id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"/>\n        <apply id=\"p1.1.m1.1.17.1.cmml\" xref=\"p1.1.m1.1.17.1\">\n          <times id=\"p1.1.m1.1.17.1.1.cmml\" xref=\"p1.1.m1.1.17.1.1\"/>\n          <apply id=\"p1.1.m1.1.17.1.2.cmml\" xref=\"p1.1.m1.1.17.1.2\">\n            <csymbol cd=\"ambiguous\" 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mathvariant=\"normal\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Δ</mi>\n                <mo id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16.1\">⁢</mo>\n                <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">x</mi>\n              </mrow>\n            </ci>\n            <cn type=\"integer\" id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">2</cn>\n          </apply>\n        </apply>\n        <apply id=\"p1.1.m1.1.17.2.cmml\" xref=\"p1.1.m1.1.17.2\">\n          <divide id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\"/>\n          <apply id=\"p1.1.m1.1.17.2.1.cmml\" xref=\"p1.1.m1.1.17.2.1\">\n            <power  xref=\"p1.1.m1.1.17.2.1\"/>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Q207387</csymbol>\n            <cn type=\"integer\" id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">2</cn>\n          </apply>\n          <apply id=\"p1.1.m1.1.17.2.2.2.cmml\" xref=\"p1.1.m1.1.17.2.2\">\n            <times id=\"p1.1.m1.1.17.2.2.2.1.cmml\" xref=\"p1.1.m1.1.17.2.2.2.1\"/>\n            <cn type=\"integer\" id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">2</cn>\n            <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">𝜋</ci>\n          </apply>\n        </apply>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\operatorname{\\Delta x}_{1}\\operatorname{\\Delta x}_{2}\\geq{\\lambda}^{2}/(2\\pi)</annotation>\n  </semantics>\n</math>",
  "uri" : "https://arxiv.org/abs/hep-th/0102111",
  "title" : "Heisenberg uncertainty principle",
  "comment" : "semantic LaTex laplace operator?",
  "type" : "general formula",
  "ntcir12-type" : "22",
  "formula" : "1_37.5",
  "page" : "8",
  "ntcir12-relevance" : "3"
}