ag-gipp/GoUldI

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data/241.json

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Test Coverage
{
  "definitions" : {
    "\\Phi" : [ {
      "Q370502" : "Map",
      "Q1086961" : "Bilinear map"
    } ],
    "A" : [ {
      "Q1091024" : "Continuous linear operator",
      "Q131030" : "operator (mapping from one vector space or module to another in mathematics)"
    } ],
    "f" : [ {
      "Q11348" : "function"
    } ],
    "\\mathcal{S}_{n}" : [ {
      "Q1369621" : "Schwartz space"
    } ],
    "\\mathcal{S}_{m}" : [ "?", { } ],
    "\\mathcal{O}" : [ "space of smooth functions from \\mathcal{R}^n into the field \\mathcal{K} slowly increasing at infinity (with all their derivatives)", {
      "Q934367" : "Function space"
    } ],
    "\\mathcal{O}^{(m\\mathbb{)}}" : [ "the \\mathcal{O} space limited to the functions which can generate a multiplication operator of the space \\mathcal{S}_{n} into the space \\mathcal{S}_{n} itself", { } ],
    "\\mathcal{L}" : [ "Lagrangian density", {
      "Q505735" : "Lagrangian"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "\\Phi:\\mathcal{O}_{M}^{(m\\mathbb{)}}\\mathbb{\\times}\\mathcal{L}(\\mathcal{S}_{n},%
\\mathcal{S}_{m})\\rightarrow\\mathcal{L}(\\mathcal{S}_{n},\\mathcal{S}_{m}):(f,A)%
\\mapsto fA",
  "math_inputtex_semantic" : "\\wf{Q1086961}{\\Phi}: \\w{Q934367}{\\mathcal{O}}_{M}^{(m\\mathbb{)}}\\mathbb{\\times} \\wf{Q505735}{\\mathcal{L}}(\\w{Q1369621}{\\mathcal{S}}_{n},\\mathcal{S}_{m})\\rightarrow\\mathcal{L}(\\mathcal{S}_{n},\\mathcal{S}_{m}):(\\wf{Q11348}{f},\\w{Q1091024}{A})\\mapsto fA",
  "correct_tex" : "\\Phi:\\mathcal{O}_{M}^{(m\\mathbb{)}}\\mathbb{\\times}\\mathcal{L}(\\mathcal{S}_{n}\\mathcal{S}_{m})\\rightarrow\\mathcal{L}(\\mathcal{S}_{n},\\mathcal{S}_{m}):(f,A)\\mapsto fA",
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id=\"p1.1.m1.1c\">\\Phi:\\mathcal{O}_{M}^{(m\\mathbb{)}}\\mathbb{\\times}\\mathcal{L}(\\mathcal{S}_{n},%\n\\mathcal{S}_{m})\\rightarrow\\mathcal{L}(\\mathcal{S}_{n},\\mathcal{S}_{m}):(f,A)%\n\\mapsto fA</annotation>\n  </semantics>\n</math>",
  "uri" : "https://arxiv.org/abs/1104.3908",
  "title" : "Reversal Context 1",
  "comment" : "important: dont know what n and m are for. I assume \\mathcal{L} is Lagrangian density, but I have no idea really",
  "type" : "definition",
  "ntcir12-type" : "12",
  "formula" : "1_46.8",
  "page" : "5",
  "ntcir12-relevance" : "1"
}