ag-gipp/GoUldI

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data/206.json

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{
  "definitions" : {
    "\\pi_{n}" : [ "prospect", { } ],
    "p" : [ {
      "Q9492" : "probability"
    } ],
    "\\alpha" : [ {
      "Q36161" : "set"
    } ],
    "n" : [ {
      "Q2303886" : "index"
    } ],
    "e_{\\alpha}" : [ "elementary prospect", { } ]
  },
  "constraints" : [ "\\sum_{n,\\alpha}\\;p_{n}(e_{\\alpha}) = 1" ],
  "math_inputtex" : "p(\\pi_{n})=\\sum_{\\alpha}\\;p_{n}(e_{\\alpha})+q(\\pi_{n})",
  "math_inputtex_semantic" : "\\wf{Q9492}{p}(\\w{Q189569}{\\pi}_{\\w{Q28920052}{n}})=\\sum_{\\w{Q36161}{\\alpha}}\\; p_n(\\w{Q189569}{e}_{\\alpha}) + \\wf{Q9492}{q}(\\pi_n)",
  "correct_tex" : "p(\\pi_{n})=\\sum_{\\alpha}\\;p_{n}(e_{\\alpha})+q(\\pi_{n})",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"p(\\pi_{n})=\\sum_{\\alpha}\\;p_{n}(e_{\\alpha})+q(\\pi_{n})\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">\n      <mrow id=\"p1.1.m1.1.22.1.2\" xref=\"p1.1.m1.1.22.1.1.cmml\">\n        <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">p</mi>\n        <mo id=\"p1.1.m1.1.22.1.2a\" xref=\"p1.1.m1.1.22.1.1.cmml\">⁡</mo>\n        <mrow id=\"p1.1.m1.1.22.1.2.2\" xref=\"p1.1.m1.1.22.1.1.cmml\">\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.22.1.1.cmml\">(</mo>\n          <msub id=\"p1.1.m1.1.22.1.2.1\" xref=\"p1.1.m1.1.22.1.2.1.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.m1.1.22.1.1.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.m1.1.22.2\" xref=\"p1.1.m1.1.22.2.cmml\">\n        <mrow id=\"p1.1.m1.1.22.2.1\" xref=\"p1.1.m1.1.22.2.1.cmml\">\n          <mpadded width=\"+2.8pt\" id=\"p1.1.m1.1.22.2.1.1\" xref=\"p1.1.m1.1.22.2.1.1.cmml\">\n            <msub id=\"p1.1.m1.1.22.2.1.1a\" xref=\"p1.1.m1.1.22.2.1.1.cmml\">\n              <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">∑</mo>\n              <mi id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">α</mi>\n            </msub>\n          </mpadded>\n          <mrow id=\"p1.1.m1.1.22.2.1.2.2\" xref=\"p1.1.m1.1.22.2.1.2.1.cmml\">\n            <msub id=\"p1.1.m1.1.22.2.1.2.2.1\" xref=\"p1.1.m1.1.22.2.1.2.2.1.cmml\">\n              <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">p</mi>\n              <mi id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">n</mi>\n            </msub>\n            <mo id=\"p1.1.m1.1.22.2.1.2.2a\" xref=\"p1.1.m1.1.22.2.1.2.1.cmml\">⁡</mo>\n            <mrow id=\"p1.1.m1.1.22.2.1.2.2.3\" xref=\"p1.1.m1.1.22.2.1.2.1.cmml\">\n              <mo stretchy=\"false\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.22.2.1.2.1.cmml\">(</mo>\n              <msub id=\"p1.1.m1.1.22.2.1.2.2.2\" xref=\"p1.1.m1.1.22.2.1.2.2.2.cmml\">\n                <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">e</mi>\n                <mi id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">α</mi>\n              </msub>\n              <mo stretchy=\"false\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.22.2.1.2.1.cmml\">)</mo>\n            </mrow>\n          </mrow>\n        </mrow>\n        <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">+</mo>\n        <mrow id=\"p1.1.m1.1.22.2.2.2\" xref=\"p1.1.m1.1.22.2.2.1.cmml\">\n          <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">q</mi>\n          <mo id=\"p1.1.m1.1.22.2.2.2a\" xref=\"p1.1.m1.1.22.2.2.1.cmml\">⁡</mo>\n          <mrow id=\"p1.1.m1.1.22.2.2.2.2\" xref=\"p1.1.m1.1.22.2.2.1.cmml\">\n            <mo stretchy=\"false\" id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.22.2.2.1.cmml\">(</mo>\n            <msub id=\"p1.1.m1.1.22.2.2.2.1\" xref=\"p1.1.m1.1.22.2.2.2.1.cmml\">\n              <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">π</mi>\n              <mi id=\"p1.1.m1.1.20.1\" xref=\"p1.1.m1.1.20.1.cmml\">n</mi>\n            </msub>\n            <mo stretchy=\"false\" id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.22.2.2.1.cmml\">)</mo>\n          </mrow>\n        </mrow>\n      </mrow>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">\n        <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"/>\n        <apply id=\"p1.1.m1.1.22.1.1.cmml\" xref=\"p1.1.m1.1.22.1.2\">\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q9492</csymbol>\n          <apply id=\"p1.1.m1.1.22.1.2.1.cmml\" xref=\"p1.1.m1.1.22.1.2.1\">\n            <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.22.1.2.1.1.cmml\" xref=\"p1.1.m1.1.22.1.2.1\">subscript</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q189569</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">Q28920052</csymbol>\n          </apply>\n        </apply>\n        <apply id=\"p1.1.m1.1.22.2.cmml\" xref=\"p1.1.m1.1.22.2\">\n          <plus id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\"/>\n          <apply id=\"p1.1.m1.1.22.2.1.cmml\" xref=\"p1.1.m1.1.22.2.1\">\n            <apply id=\"p1.1.m1.1.22.2.1.1.cmml\" xref=\"p1.1.m1.1.22.2.1.1\">\n              <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.22.2.1.1.1.cmml\" xref=\"p1.1.m1.1.22.2.1.1\">subscript</csymbol>\n              <sum id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"/>\n              <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">Q36161</csymbol>\n            </apply>\n            <apply id=\"p1.1.m1.1.22.2.1.2.1.cmml\" xref=\"p1.1.m1.1.22.2.1.2.2\">\n              <apply id=\"p1.1.m1.1.22.2.1.2.2.1.cmml\" xref=\"p1.1.m1.1.22.2.1.2.2.1\">\n                <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.22.2.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.22.2.1.2.2.1\">subscript</csymbol>\n                <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">Q9492</csymbol>\n                <csymbol cd=\"latexml\" id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">Q28920052</csymbol>\n              </apply>\n              <apply id=\"p1.1.m1.1.22.2.1.2.2.2.cmml\" xref=\"p1.1.m1.1.22.2.1.2.2.2\">\n                <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.22.2.1.2.2.2.1.cmml\" xref=\"p1.1.m1.1.22.2.1.2.2.2\">subscript</csymbol>\n                <csymbol cd=\"latexml\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">Q189569</csymbol>\n                <csymbol cd=\"latexml\" id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">Q36161</csymbol>\n              </apply>\n            </apply>\n          </apply>\n          <apply id=\"p1.1.m1.1.22.2.2.1.cmml\" xref=\"p1.1.m1.1.22.2.2.2\">\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">Q9492</csymbol>\n            <apply id=\"p1.1.m1.1.22.2.2.2.1.cmml\" xref=\"p1.1.m1.1.22.2.2.2.1\">\n              <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.22.2.2.2.1.1.cmml\" xref=\"p1.1.m1.1.22.2.2.2.1\">subscript</csymbol>\n              <csymbol cd=\"latexml\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">Q189569</csymbol>\n              <csymbol cd=\"latexml\" id=\"p1.1.m1.1.20.1.cmml\" xref=\"p1.1.m1.1.20.1\">Q28920052</csymbol>\n            </apply>\n          </apply>\n        </apply>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">p(\\pi_{n})=\\sum_{\\alpha}\\;p_{n}(e_{\\alpha})+q(\\pi_{n})</annotation>\n  </semantics>\n</math>",
  "uri" : "https://arxiv.org/abs/0808.0112",
  "title" : "Decision making",
  "comment" : "Do I need all constraints from page 15? Is alpha a set?",
  "type" : "equation",
  "ntcir12-type" : "6",
  "formula" : "1_67.3",
  "page" : "16",
  "ntcir12-relevance" : "3"
}