ag-gipp/GoUldI

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data/95.json

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{
  "definitions" : {
    "p_{1}" : [ {
      "Q10290214" : "event (in statistics, a set of outcomes to which a probability is assigned)"
    } ],
    "p_{n}" : [ {
      "Q10290214" : "event (in statistics, a set of outcomes to which a probability is assigned)"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "(\\sqrt{p_1}, \\cdots ,\\sqrt{p_n})",
  "math_inputtex_semantic" : "(\\sqrt{\\w{Q10290214}{p}_1}, \\cdots ,\\sqrt{p_n})",
  "correct_tex" : "(\\sqrt{p_1}, \\cdots ,\\sqrt{p_n})",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"(\\sqrt{p_{1}},\\cdots,\\sqrt{p_{n}})\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.1.cmml\">\n      <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.8.1.cmml\">(</mo>\n      <msqrt id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n        <msub id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">\n          <mi id=\"p1.1.m1.1.2.2.1\" xref=\"p1.1.m1.1.2.2.1.cmml\">p</mi>\n          <mn id=\"p1.1.m1.1.2.2.2.1\" xref=\"p1.1.m1.1.2.2.2.1.cmml\">1</mn>\n        </msub>\n      </msqrt>\n      <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.8.1.cmml\">,</mo>\n      <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">⋯</mi>\n      <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.8.1.cmml\">,</mo>\n      <msqrt id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n        <msub id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n          <mi id=\"p1.1.m1.1.6.2.1\" xref=\"p1.1.m1.1.6.2.1.cmml\">p</mi>\n          <mi id=\"p1.1.m1.1.6.2.2.1\" xref=\"p1.1.m1.1.6.2.2.1.cmml\">n</mi>\n        </msub>\n      </msqrt>\n      <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.8.1.cmml\">)</mo>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <vector id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">\n        <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n          <root id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\"/>\n          <apply id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\n            <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.2.2.3.cmml\" xref=\"p1.1.m1.1.2.2\">subscript</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.2.2.1\">Q10290214</csymbol>\n            <cn type=\"integer\" id=\"p1.1.m1.1.2.2.2.1.cmml\" xref=\"p1.1.m1.1.2.2.2.1\">1</cn>\n          </apply>\n        </apply>\n        <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">⋯</ci>\n        <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n          <root id=\"p1.1.m1.1.6a.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            <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.3.cmml\" xref=\"p1.1.m1.1.6.2\">subscript</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2.1\">Q10290214</csymbol>\n            <ci id=\"p1.1.m1.1.6.2.2.1.cmml\" xref=\"p1.1.m1.1.6.2.2.1\">𝑛</ci>\n          </apply>\n        </apply>\n      </vector>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">(\\sqrt{p_{1}},\\cdots,\\sqrt{p_{n}})</annotation>\n  </semantics>\n</math>",
  "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=14285#math14285.1",
  "title" : "Fidelity_of_quantum_states",
  "type" : "general formula"
}