ag-gipp/GoUldI

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data/69.json

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{
  "definitions": {
    "\\eta": [
      {
        "Q192704": "energy efficiency"
      }
    ],
    "Q_{1}": [
      {
        "Q44432": "heat (energy)"
      }
    ],
    "Q_{2}": [
      {
        "Q44432": "heat (energy)"
      }
    ]
  },
  "constraints": [],
  "math_inputtex": "\\eta = \\frac{ work\\ done } {heat\\ absorbed}  = \\frac{ Q1-Q2 }{ Q1}",
  "math_inputtex_semantic": "\\wDef{Q44432}{Q}\\wf{Q192704}{\\eta} = \\frac{ {Q}_1-Q_2 }{ Q_1}",
  "correct_tex": "\\eta = \\frac{Q_1-Q_2}{Q_1}",
  "correct_mml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"\n      xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n      alttext=\"\\eta=\\frac{{Q}_{1}-Q_{2}}{Q_{1}}\"\n      class=\"ltx_Math\"\n      display=\"inline\"\n      id=\"p1.1.m1.1\">\n  <semantics id=\"p1.1.m1.1a\">\n      <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n         <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">η</mi>\n         <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=</mo>\n         <mfrac id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n            <mrow id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">\n               <msub id=\"p1.1.m1.1.3.2.6\" xref=\"p1.1.m1.1.3.2.6.cmml\">\n                  <mi id=\"p1.1.m1.1.3.2.1\" xref=\"p1.1.m1.1.3.2.1.cmml\">Q</mi>\n                  <mn id=\"p1.1.m1.1.3.2.2.1\" xref=\"p1.1.m1.1.3.2.2.1.cmml\">1</mn>\n               </msub>\n               <mo id=\"p1.1.m1.1.3.2.3\" xref=\"p1.1.m1.1.3.2.3.cmml\">-</mo>\n               <msub id=\"p1.1.m1.1.3.2.7\" xref=\"p1.1.m1.1.3.2.7.cmml\">\n                  <mi id=\"p1.1.m1.1.3.2.4\" xref=\"p1.1.m1.1.3.2.4.cmml\">Q</mi>\n                  <mn id=\"p1.1.m1.1.3.2.5.1\" xref=\"p1.1.m1.1.3.2.5.1.cmml\">2</mn>\n               </msub>\n            </mrow>\n            <msub id=\"p1.1.m1.1.3.3\" xref=\"p1.1.m1.1.3.3.cmml\">\n               <mi id=\"p1.1.m1.1.3.3.1\" xref=\"p1.1.m1.1.3.3.1.cmml\">Q</mi>\n               <mn id=\"p1.1.m1.1.3.3.2.1\" xref=\"p1.1.m1.1.3.3.2.1.cmml\">1</mn>\n            </msub>\n         </mfrac>\n      </mrow>\n      <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n         <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n            <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"/>\n            <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q192704</csymbol>\n            <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n               <divide id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\"/>\n               <apply id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\n                  <minus id=\"p1.1.m1.1.3.2.3.cmml\" xref=\"p1.1.m1.1.3.2.3\"/>\n                  <apply id=\"p1.1.m1.1.3.2.6.cmml\" xref=\"p1.1.m1.1.3.2.6\">\n                     <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.3.2.1.cmml\" xref=\"p1.1.m1.1.3.2.1\">Q44432</csymbol>\n                     <cn id=\"p1.1.m1.1.3.2.2.1.cmml\" type=\"integer\" xref=\"p1.1.m1.1.3.2.2.1\">1</cn>\n                  </apply>\n                  <apply id=\"p1.1.m1.1.3.2.7.cmml\" xref=\"p1.1.m1.1.3.2.7\">\n                     <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.3.2.4.cmml\" xref=\"p1.1.m1.1.3.2.4\">Q44432</csymbol>\n                     <cn id=\"p1.1.m1.1.3.2.5.1.cmml\" type=\"integer\" xref=\"p1.1.m1.1.3.2.5.1\">2</cn>\n                  </apply>\n               </apply>\n               <apply id=\"p1.1.m1.1.3.3.cmml\" xref=\"p1.1.m1.1.3.3\">\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.3.3.1.cmml\" xref=\"p1.1.m1.1.3.3.1\">Q44432</csymbol>\n                  <cn id=\"p1.1.m1.1.3.3.2.1.cmml\" type=\"integer\" xref=\"p1.1.m1.1.3.3.2.1\">1</cn>\n               </apply>\n            </apply>\n         </apply>\n      </annotation-xml>\n      <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\eta=\\frac{{Q}_{1}-Q_{2}}{Q_{1}}</annotation>\n  </semantics>\n</math>\n",
  "uri": "https://en.formulasearchengine.com/w/index.php?oldid=15167#math15167.0",
  "title": "Engine_efficiency",
  "type": "definition",
  "check": {
    "tree": false,
    "qid": false
  }
}