mathmlben/data/266.json

Visualization for goldstandard

{
  "definitions": {
    "\\vec{\\xi}": [
      "input",
      {
        "Q44528": "euclidean vector"
      }
    ],
    "\\tau": [
      "output",
      {
        "Q12503": "integer"
      }
    ],
    "\\mu": [
      {
        "Q28920044": "positive integer",
        "Q2303886": "index number"
      }
    ]
  },
  "constraints": [
    "\\tau \\in {-1, 1}"
  ],
  "math_inputtex": "\\{\\vec{\\xi}^{\\mu},\\tau^{\\mu}",
  "math_inputtex_semantic": "\\w{Q44528}{\\vec{\\xi}}^{\\w{Q28920044}{\\mu}},\\w{Q12503}{\\tau}^{\\mu}",
  "correct_tex": "\\{\\vec{\\xi}^{\\mu},\\tau^{\\mu}\\}",
  "correct_mml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"\\vec{\\xi}^{\\mu},\\tau^{\\mu}\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.1.cmml\">\n      <msup id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n        <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1a.cmml\">\n          <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">ξ</mi>\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">→</mo>\n        </mover>\n        <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">μ</mi>\n      </msup>\n      <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.6.1.cmml\">,</mo>\n      <msup id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">\n        <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">τ</mi>\n        <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">μ</mi>\n      </msup>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <list id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\">\n        <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n          <power xmlns:m=\"http://www.w3.org/1998/Math/MathML\" xref=\"p1.1.m1.1.6.2\"/>\n          <ci id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n            <mover accent=\"true\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n              <mi id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">ξ</mi>\n              <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">→</mo>\n            </mover>\n          </ci>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">Q28920044</csymbol>\n        </apply>\n        <apply id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\n          <power xmlns:m=\"http://www.w3.org/1998/Math/MathML\" xref=\"p1.1.m1.1.6.3\"/>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q12503</csymbol>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">Q28920044</csymbol>\n        </apply>\n      </list>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\vec{\\xi}^{\\mu},\\tau^{\\mu}</annotation>\n  </semantics>\n</math>",
  "uri": "https://arxiv.org/abs/0906.0470",
  "title": "Machine Learning Context 2",
  "comment": "xi can be either a vector of real values or binary (depending on whether perceptrons or sigmoidal neurons are being used).",
  "type": "general formula",
  "ntcir12-type": "8",
  "formula": "1_3.2",
  "page": "2",
  "ntcir12-relevance": "4",
  "check": {
    "tree": false
  }
}