"positive linear functional" meaning in All languages combined

{
  "forms": [
    {
      "form": "positive linear functionals",
      "tags": [
        "plural"
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  ],
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      "expansion": "positive linear functional (plural positive linear functionals)",
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
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            "Calculus",
            "Geometry",
            "Mathematical analysis",
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            "Formal sciences",
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      ],
      "glosses": [
        "A kind of linear functional which yields a non-negative scalar when given a non-negative function as parameter."
      ],
      "hypernyms": [
        {
          "word": "linear functional"
        }
      ],
      "id": "en-positive_linear_functional-en-noun-FDCiwoXi",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "linear functional",
          "linear functional"
        ],
        [
          "non-negative",
          "non-negative"
        ],
        [
          "scalar",
          "scalar"
        ],
        [
          "function",
          "function"
        ],
        [
          "parameter",
          "parameter"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A kind of linear functional which yields a non-negative scalar when given a non-negative function as parameter."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "positive linear functional"
}

{
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    {
      "form": "positive linear functionals",
      "tags": [
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  ],
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      "expansion": "positive linear functional (plural positive linear functionals)",
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  ],
  "hypernyms": [
    {
      "word": "linear functional"
    }
  ],
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  "lang_code": "en",
  "pos": "noun",
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        "en:Mathematical analysis"
      ],
      "glosses": [
        "A kind of linear functional which yields a non-negative scalar when given a non-negative function as parameter."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "linear functional",
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          "non-negative",
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        ],
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          "scalar",
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        ],
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          "function",
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        ],
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      "raw_glosses": [
        "(mathematical analysis) A kind of linear functional which yields a non-negative scalar when given a non-negative function as parameter."
      ],
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        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "positive linear functional"
}