ag-gipp/GoUldI

{
  "definitions": {
    "f_{c}": [
      {
        "Q5156597": "Complex quadratic polynomial"
      }
    ],
    "z": [
      {
        "Q11567": "complex number (number that can be put in the form a + bi, where a and b are real numbers and i is called the imaginary unit )"
      }
    ],
    "c": [
      {
        "Q1413083": "parameter",
        "Q50700": "coefficient (number just before a variable)"
      }
    ]
  },
  "constraints": [],
  "math_inputtex": "f_c(z) = z^2 + c",
  "math_inputtex_semantic": "\\wDef{Q11567}{z}\\wDef{Q11567}{c}\\wf{Q5156597}{f}_{c}(z) = z^2 + c",
  "correct_tex": "f_c(z) = z^2 + c",
  "correct_mml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"\n      xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n      alttext=\"f_{c}(z)=z^{2}+c\"\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.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n         <mrow id=\"p1.1.m1.1.11.1.2\" xref=\"p1.1.m1.1.11.1.1.cmml\">\n            <msub id=\"p1.1.m1.1.11.1.2.1\" xref=\"p1.1.m1.1.11.1.2.1.cmml\">\n               <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">f</mi>\n               <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">c</mi>\n            </msub>\n            <mo id=\"p1.1.m1.1.11.1.2a\" xref=\"p1.1.m1.1.11.1.1.cmml\">⁡</mo>\n            <mrow id=\"p1.1.m1.1.11.1.2.2\" xref=\"p1.1.m1.1.11.1.1.cmml\">\n               <mo id=\"p1.1.m1.1.3\" stretchy=\"false\" xref=\"p1.1.m1.1.11.1.1.cmml\">(</mo>\n               <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">z</mi>\n               <mo id=\"p1.1.m1.1.5\" stretchy=\"false\" xref=\"p1.1.m1.1.11.1.1.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.m1.1.11.2\" xref=\"p1.1.m1.1.11.2.cmml\">\n            <msup id=\"p1.1.m1.1.11.2.1\" xref=\"p1.1.m1.1.11.2.1.cmml\">\n               <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">z</mi>\n               <mn id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">2</mn>\n            </msup>\n            <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">+</mo>\n            <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">c</mi>\n         </mrow>\n      </mrow>\n      <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n         <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n            <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"/>\n            <apply id=\"p1.1.m1.1.11.1.1.cmml\" xref=\"p1.1.m1.1.11.1.2\">\n               <apply id=\"p1.1.m1.1.11.1.2.1.cmml\" xref=\"p1.1.m1.1.11.1.2.1\">\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q5156597</csymbol>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">Q11567</csymbol>\n               </apply>\n               <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q11567</csymbol>\n            </apply>\n            <apply id=\"p1.1.m1.1.11.2.cmml\" xref=\"p1.1.m1.1.11.2\">\n               <plus id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\"/>\n               <apply id=\"p1.1.m1.1.11.2.1.cmml\" xref=\"p1.1.m1.1.11.2.1\">\n                  <power id=\"p1.1.m1.1.11.2.1.1.cmml\" xref=\"p1.1.m1.1.11.2.1\"/>\n                  <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Q11567</csymbol>\n                  <cn id=\"p1.1.m1.1.8.1.cmml\" type=\"integer\" xref=\"p1.1.m1.1.8.1\">2</cn>\n               </apply>\n               <csymbol cd=\"wikidata\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">Q11567</csymbol>\n            </apply>\n         </apply>\n      </annotation-xml>\n      <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">f_{c}(z)=z^{2}+c</annotation>\n  </semantics>\n</math>\n",
  "uri": "https://en.formulasearchengine.com/w/index.php?oldid=15332#math15332.68",
  "title": "Orbit_portrait",
  "type": "definition",
  "check": {
    "tree": true,
    "qid": true
  }
}