ag-gipp/GoUldI

View on GitHub
data/97.json

Summary

Maintainability
Test Coverage
{
  "definitions" : {
    "J" : [ {
      "Q506041" : "Jacobian matrix and determinant"
    } ],
    "T" : [ {
      "Q2858846" : "Transpose of a linear map"
    } ],
    "W" : [ "diagonal weight matrix", { } ],
    "y" : [ "residuals", { } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "\\mathbf{J^TW\\  \\Delta y}",
  "math_inputtex_semantic" : "\\w{Q506041}{J}^{\\w{Q2858846}{T}} \\w{Q332791}{W} \\w{Q2656762}{\\Delta} \\w{Q7315501}{y}",
  "correct_tex" : "\\mathbf{J^TW\\  \\Delta y}",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"J^{T}W\\Delta y\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n      <msup id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n        <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">J</mi>\n        <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">T</mi>\n      </msup>\n      <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">⁢</mo>\n      <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">W</mi>\n      <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">⁢</mo>\n      <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">Δ</mi>\n      <mo id=\"p1.1.m1.1.6.1b\" xref=\"p1.1.m1.1.6.1.cmml\">⁢</mo>\n      <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">y</mi>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n        <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"/>\n        <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n          <power  xref=\"p1.1.m1.1.6.2\"/>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q506041</csymbol>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">Q2858846</csymbol>\n        </apply>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q332791</csymbol>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q2656762</csymbol>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">Q7315501</csymbol>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">J^{T}W\\Delta y</annotation>\n  </semantics>\n</math>",
  "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=21658#math21658.67",
  "title" : "Non-linear_least_squares",
  "type" : "general formula"
}