ag-gipp/GoUldI

View on GitHub
data/264.json

Summary

Maintainability
Test Coverage
{
  "definitions" : {
    "\\pi_{n}" : [ "prospect", { } ],
    "\\alpha" : [ {
      "Q28920044" : "positive integer",
      "Q2303886" : "index number"
    } ],
    "\\beta" : [ {
      "Q28920044" : "positive integer",
      "Q2303886" : "index number"
    } ],
    "\\hat{P}" : [ "probability operator", {
      "Q6500908" : "self-adjoint operator"
    } ],
    "e" : [ "elementary prospect", { } ],
    "q" : [ "quantum interference term", { } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "q(\\pi_{n})\\equiv\\sum_{\\alpha\\neq\\beta}<\\hat{P}(e_{\\alpha})\\hat{P}(\\pi_{n})\\hat%
{P}(e_{\\beta})>\\;,",
  "math_inputtex_semantic" : "\\wf{Q207522}{q}(\\w{Q131030}{\\pi_{n}}) \\equiv \\sum_{\\w{Q28920044}{\\alpha} \\neq \\w{Q28920044}{\\beta}} < \\wf{Q6500908}{\\hat{P}}(\\w{Q189569}{e}_{\\alpha})\\hat{P}(\\pi_{n}) \\hat{P}(e_{\\beta}) >",
  "correct_tex" : "q(\\pi_{n})\\equiv\\sum_{\\alpha\\neq\\beta}<\\hat{P}(e_{\\alpha})\\hat{P}(\\pi_{n})\\hat{P}(e_{\\beta})>",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"q(\\pi_{n})\\equiv\\sum_{\\alpha\\neq\\beta}&lt;\\hat{P}(e_{\\alpha})\\hat{P}(\\pi_{n})\\hat%&#10;{P}(e_{\\beta})&gt;\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">\n      <mrow id=\"p1.1.m1.1.26.1.2\" xref=\"p1.1.m1.1.26.1.1.cmml\">\n        <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">q</mi>\n        <mo id=\"p1.1.m1.1.26.1.2a\" xref=\"p1.1.m1.1.26.1.1.cmml\">⁡</mo>\n        <mrow id=\"p1.1.m1.1.26.1.2.2\" xref=\"p1.1.m1.1.26.1.1.cmml\">\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.26.1.1.cmml\">(</mo>\n          <msub id=\"p1.1.m1.1.26.1.2.1\" xref=\"p1.1.m1.1.26.1.2.1.cmml\">\n            <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">π</mi>\n            <mi id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">n</mi>\n          </msub>\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.26.1.1.cmml\">)</mo>\n        </mrow>\n      </mrow>\n      <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">≡</mo>\n      <mrow id=\"p1.1.m1.1.26.2\" xref=\"p1.1.m1.1.26.2.cmml\">\n        <msub id=\"p1.1.m1.1.26.2.1\" xref=\"p1.1.m1.1.26.2.1.cmml\">\n          <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">∑</mo>\n          <mrow id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n            <mi id=\"p1.1.m1.1.8.1.1\" xref=\"p1.1.m1.1.8.1.1.cmml\">α</mi>\n            <mo id=\"p1.1.m1.1.8.1.2\" xref=\"p1.1.m1.1.8.1.2.cmml\">≠</mo>\n            <mi id=\"p1.1.m1.1.8.1.3\" xref=\"p1.1.m1.1.8.1.3.cmml\">β</mi>\n          </mrow>\n        </msub>\n        <mrow id=\"p1.1.m1.1.26.2.2\" xref=\"p1.1.m1.1.26.2.2.1.cmml\">\n          <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.26.2.2.1.1.cmml\">&lt;</mo>\n          <mrow id=\"p1.1.m1.1.26.2.2.2\" xref=\"p1.1.m1.1.26.2.2.2.cmml\">\n            <mrow id=\"p1.1.m1.1.26.2.2.2.2.2\" xref=\"p1.1.m1.1.26.2.2.2.2.1.cmml\">\n              <mover accent=\"true\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n                <mi id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.cmml\">P</mi>\n                <mo stretchy=\"false\" id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">^</mo>\n              </mover>\n              <mo id=\"p1.1.m1.1.26.2.2.2.2.2a\" xref=\"p1.1.m1.1.26.2.2.2.2.1.cmml\">⁡</mo>\n              <mrow id=\"p1.1.m1.1.26.2.2.2.2.2.2\" xref=\"p1.1.m1.1.26.2.2.2.2.1.cmml\">\n                <mo stretchy=\"false\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.26.2.2.2.2.1.cmml\">(</mo>\n                <msub id=\"p1.1.m1.1.26.2.2.2.2.2.1\" xref=\"p1.1.m1.1.26.2.2.2.2.2.1.cmml\">\n                  <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">e</mi>\n                  <mi id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">α</mi>\n                </msub>\n                <mo stretchy=\"false\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.26.2.2.2.2.1.cmml\">)</mo>\n              </mrow>\n            </mrow>\n            <mo id=\"p1.1.m1.1.26.2.2.2.1\" xref=\"p1.1.m1.1.26.2.2.2.1.cmml\">⁢</mo>\n            <mrow id=\"p1.1.m1.1.26.2.2.2.3.2\" xref=\"p1.1.m1.1.26.2.2.2.3.1.cmml\">\n              <mover accent=\"true\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n                <mi id=\"p1.1.m1.1.15.2\" xref=\"p1.1.m1.1.15.2.cmml\">P</mi>\n                <mo stretchy=\"false\" id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">^</mo>\n              </mover>\n              <mo id=\"p1.1.m1.1.26.2.2.2.3.2a\" xref=\"p1.1.m1.1.26.2.2.2.3.1.cmml\">⁡</mo>\n              <mrow id=\"p1.1.m1.1.26.2.2.2.3.2.2\" xref=\"p1.1.m1.1.26.2.2.2.3.1.cmml\">\n                <mo stretchy=\"false\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.26.2.2.2.3.1.cmml\">(</mo>\n                <msub id=\"p1.1.m1.1.26.2.2.2.3.2.1\" xref=\"p1.1.m1.1.26.2.2.2.3.2.1.cmml\">\n                  <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">π</mi>\n                  <mi id=\"p1.1.m1.1.18.1\" xref=\"p1.1.m1.1.18.1.cmml\">n</mi>\n                </msub>\n                <mo stretchy=\"false\" id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.26.2.2.2.3.1.cmml\">)</mo>\n              </mrow>\n            </mrow>\n            <mo id=\"p1.1.m1.1.26.2.2.2.1a\" xref=\"p1.1.m1.1.26.2.2.2.1.cmml\">⁢</mo>\n            <mrow id=\"p1.1.m1.1.26.2.2.2.4.2\" xref=\"p1.1.m1.1.26.2.2.2.4.1.cmml\">\n              <mover accent=\"true\" id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">\n                <mi id=\"p1.1.m1.1.20.2\" xref=\"p1.1.m1.1.20.2.cmml\">P</mi>\n                <mo stretchy=\"false\" id=\"p1.1.m1.1.20.1\" xref=\"p1.1.m1.1.20.1.cmml\">^</mo>\n              </mover>\n              <mo id=\"p1.1.m1.1.26.2.2.2.4.2a\" xref=\"p1.1.m1.1.26.2.2.2.4.1.cmml\">⁡</mo>\n              <mrow id=\"p1.1.m1.1.26.2.2.2.4.2.2\" xref=\"p1.1.m1.1.26.2.2.2.4.1.cmml\">\n                <mo stretchy=\"false\" id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.26.2.2.2.4.1.cmml\">(</mo>\n                <msub id=\"p1.1.m1.1.26.2.2.2.4.2.1\" xref=\"p1.1.m1.1.26.2.2.2.4.2.1.cmml\">\n                  <mi id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">e</mi>\n                  <mi id=\"p1.1.m1.1.23.1\" xref=\"p1.1.m1.1.23.1.cmml\">β</mi>\n                </msub>\n                <mo stretchy=\"false\" id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.26.2.2.2.4.1.cmml\">)</mo>\n              </mrow>\n            </mrow>\n          </mrow>\n          <mo id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.26.2.2.1.1.cmml\">&gt;</mo>\n        </mrow>\n      </mrow>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">\n        <equivalent id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"/>\n        <apply id=\"p1.1.m1.1.26.1.1.cmml\" xref=\"p1.1.m1.1.26.1.2\">\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q207522</csymbol>\n          <apply id=\"p1.1.m1.1.26.1.2.1.cmml\" xref=\"p1.1.m1.1.26.1.2.1\">\n            <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.1.2.1.1.cmml\" xref=\"p1.1.m1.1.26.1.2.1\">subscript</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q131030</csymbol>\n            <ci id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">𝑛</ci>\n          </apply>\n        </apply>\n        <apply id=\"p1.1.m1.1.26.2.cmml\" xref=\"p1.1.m1.1.26.2\">\n          <apply id=\"p1.1.m1.1.26.2.1.cmml\" xref=\"p1.1.m1.1.26.2.1\">\n            <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.2.1.1.cmml\" xref=\"p1.1.m1.1.26.2.1\">subscript</csymbol>\n            <sum id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"/>\n            <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n              <neq id=\"p1.1.m1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.8.1.2\"/>\n              <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1.1\">Q28920044</csymbol>\n              <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.1.3.cmml\" xref=\"p1.1.m1.1.8.1.3\">Q28920044</csymbol>\n            </apply>\n          </apply>\n          <apply id=\"p1.1.m1.1.26.2.2.1.cmml\" xref=\"p1.1.m1.1.26.2.2\">\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.26.2.2.1.1.cmml\" xref=\"p1.1.m1.1.9\">expectation</csymbol>\n            <apply id=\"p1.1.m1.1.26.2.2.2.cmml\" xref=\"p1.1.m1.1.26.2.2.2\">\n              <times id=\"p1.1.m1.1.26.2.2.2.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.1\"/>\n              <apply id=\"p1.1.m1.1.26.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.2.2\">\n                <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n                  <ci id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">^</ci>\n                  <ci id=\"p1.1.m1.1.10.2.cmml\" xref=\"p1.1.m1.1.10.2\">𝑃</ci>\n                </apply>\n                <apply id=\"p1.1.m1.1.26.2.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.2.2.1\">\n                  <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.2.2.2.2.2.1.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.2.2.1\">subscript</csymbol>\n                  <csymbol cd=\"latexml\" id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">Q189569</csymbol>\n                  <csymbol cd=\"latexml\" id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\">Q28920044</csymbol>\n                </apply>\n              </apply>\n              <apply id=\"p1.1.m1.1.26.2.2.2.3.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.3.2\">\n                <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n                  <ci id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">^</ci>\n                  <ci id=\"p1.1.m1.1.15.2.cmml\" xref=\"p1.1.m1.1.15.2\">𝑃</ci>\n                </apply>\n                <apply id=\"p1.1.m1.1.26.2.2.2.3.2.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.3.2.1\">\n                  <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.2.2.2.3.2.1.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.3.2.1\">subscript</csymbol>\n                  <csymbol cd=\"latexml\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">Q131030</csymbol>\n                  <ci id=\"p1.1.m1.1.18.1.cmml\" xref=\"p1.1.m1.1.18.1\">𝑛</ci>\n                </apply>\n              </apply>\n              <apply id=\"p1.1.m1.1.26.2.2.2.4.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.4.2\">\n                <apply id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\n                  <ci id=\"p1.1.m1.1.20.1.cmml\" xref=\"p1.1.m1.1.20.1\">^</ci>\n                  <ci id=\"p1.1.m1.1.20.2.cmml\" xref=\"p1.1.m1.1.20.2\">𝑃</ci>\n                </apply>\n                <apply id=\"p1.1.m1.1.26.2.2.2.4.2.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.4.2.1\">\n                  <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.2.2.2.4.2.1.1.cmml\" xref=\"p1.1.m1.1.26.2.2.2.4.2.1\">subscript</csymbol>\n                  <csymbol cd=\"latexml\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">Q189569</csymbol>\n                  <csymbol cd=\"latexml\" id=\"p1.1.m1.1.23.1.cmml\" xref=\"p1.1.m1.1.23.1\">Q28920044</csymbol>\n                </apply>\n              </apply>\n            </apply>\n          </apply>\n        </apply>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">q(\\pi_{n})\\equiv\\sum_{\\alpha\\neq\\beta}&lt;\\hat{P}(e_{\\alpha})\\hat{P}(\\pi_{n})\\hat%\n{P}(e_{\\beta})&gt;</annotation>\n  </semantics>\n</math>",
  "uri" : "https://arxiv.org/abs/0903.5188",
  "title" : "Decision Making Context 2",
  "comment" : "",
  "type" : "definition",
  "ntcir12-type" : "6",
  "formula" : "1_40.3",
  "page" : "7",
  "ntcir12-relevance" : "2"
}