{
  "definitions": {
    "S'": [
      "plane",
      "geometric surface",
      "area",
      "2-dimensional manifold",
      {
        "Q17285": "plane (flat, two-dimensional surface)"
      }
    ]
  },
  "constraints": [],
  "math_inputtex": "S'",
  "math_inputtex_semantic": "\\w{Q484298}{S}'",
  "correct_tex": "S'",
  "correct_mml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"S^{\\prime}\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <msup id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n      <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S</mi>\n      <mo id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">′</mo>\n    </msup>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n        <power xmlns:m=\"http://www.w3.org/1998/Math/MathML\" xref=\"p1.1.m1.1.3\"/>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q484298</csymbol>\n        <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">′</ci>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">S^{\\prime}</annotation>\n  </semantics>\n</math>",
  "uri": "https://en.formulasearchengine.com/w/index.php?oldid=17336#math17336.30",
  "title": "Hilbert's_theorem_(differential_geometry)",
  "type": "general formula",
  "check": {
    "qid": false
  }
}