data/69.json
{
"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
}
}