"positive linear functional" meaning in English

See positive linear functional in All languages combined, or Wiktionary

Noun

Forms: positive linear functionals [plural]
Head templates: {{en-noun|head=positive linear functional}} positive linear functional (plural positive linear functionals)
  1. (mathematical analysis) A kind of linear functional which yields a non-negative scalar when given a non-negative function as parameter. Categories (topical): Functions, Mathematical analysis Hypernyms: linear functional
    Sense id: en-positive_linear_functional-en-noun-FDCiwoXi Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematical-analysis, mathematics, sciences

Inflected forms

{
  "forms": [
    {
      "form": "positive linear functionals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "positive linear functional"
      },
      "expansion": "positive linear functional (plural positive linear functionals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [
            "Algebra",
            "Calculus",
            "Geometry",
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "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"
}
{
  "forms": [
    {
      "form": "positive linear functionals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "positive linear functional"
      },
      "expansion": "positive linear functional (plural positive linear functionals)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "linear functional"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Functions",
        "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",
          "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"
}

Download raw JSONL data for positive linear functional meaning in English (1.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-08 from the enwiktionary dump dated 2024-12-04 using wiktextract (bb46d54 and 0c3c9f6). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.