"partial function" meaning in English

See partial function in All languages combined, or Wiktionary

Noun

Forms: partial functions [plural]
Head templates: {{en-noun}} partial function (plural partial functions)
  1. (mathematics) A function whose domain is a subset of the set on which it is formally defined; i.e., a function f: X→Y for which values f(x) are defined only for x ∈ W, where W ⊆ X. Wikipedia link: partial function Categories (topical): Functions, Mathematics Translations (mathematics: a function whose domain is a subset of the set on which it is formally defined): hlutskilgreint fall [neuter] (Icelandic), funzione parziale [feminine] (Italian)

Inflected forms

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      "english": "function whose domain is a subset of the set on which it is formally defined",
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      "topics": [
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      "word": "total function"
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      "examples": [
        {
          "text": "1967 [John Wiley & Sons], Stephen Cole Kleene, Mathematical Logic, 2002, Dover, page 244,\nThe Church-Turing thesis applies to partial functions on the same grounds as to total functions (§ 41)."
        },
        {
          "text": "1991, Michel Bidoit, Hans-Jörg Kreowski, Pierre Lescanne, Fernando Orejas, Donald Sannella (editors), Algebraic System Specification and Development: A Survey and Annotated Bibliography, Springer, LNCS 501, page 15,\nNowadays it seems quite clear that if algebraic specifications are to be used as a powerful and realistic tool for the development of complex systems they should permit the specification of partial functions. […] There are essentially two ways of specifying partial functions."
        },
        {
          "text": "2006, Paulo Oliva, Understanding and Using Spector's Bar Recursive Interpretation of Classical Analysis, Arnold Beckmann, Ulrich Berger, Benedikt Löwe, John V. Tucker (editors), Logical Approaches to Computational Barriers: 2nd Conference on Computability in Europe, Proceedings, Springer, LNCS 3988, page 432,\nIn the following σ and τ will denote finite partial functions from N to N , i.e. partial functions which are defined on a finite domain. A partial function which is everywhere undefined is denoted by ⟨⟩, whereas a partial function defined only at position k (with value n) is denoted by ⟨k,n⟩."
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        "(mathematics) A function whose domain is a subset of the set on which it is formally defined; i.e., a function f: X→Y for which values f(x) are defined only for x ∈ W, where W ⊆ X."
      ],
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        }
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        },
        {
          "text": "1991, Michel Bidoit, Hans-Jörg Kreowski, Pierre Lescanne, Fernando Orejas, Donald Sannella (editors), Algebraic System Specification and Development: A Survey and Annotated Bibliography, Springer, LNCS 501, page 15,\nNowadays it seems quite clear that if algebraic specifications are to be used as a powerful and realistic tool for the development of complex systems they should permit the specification of partial functions. […] There are essentially two ways of specifying partial functions."
        },
        {
          "text": "2006, Paulo Oliva, Understanding and Using Spector's Bar Recursive Interpretation of Classical Analysis, Arnold Beckmann, Ulrich Berger, Benedikt Löwe, John V. Tucker (editors), Logical Approaches to Computational Barriers: 2nd Conference on Computability in Europe, Proceedings, Springer, LNCS 3988, page 432,\nIn the following σ and τ will denote finite partial functions from N to N , i.e. partial functions which are defined on a finite domain. A partial function which is everywhere undefined is denoted by ⟨⟩, whereas a partial function defined only at position k (with value n) is denoted by ⟨k,n⟩."
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        "(mathematics) A function whose domain is a subset of the set on which it is formally defined; i.e., a function f: X→Y for which values f(x) are defined only for x ∈ W, where W ⊆ X."
      ],
      "topics": [
        "mathematics",
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      ],
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      "code": "is",
      "lang": "Icelandic",
      "sense": "mathematics: a function whose domain is a subset of the set on which it is formally defined",
      "tags": [
        "neuter"
      ],
      "word": "hlutskilgreint fall"
    },
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      "code": "it",
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      "sense": "mathematics: a function whose domain is a subset of the set on which it is formally defined",
      "tags": [
        "feminine"
      ],
      "word": "funzione parziale"
    }
  ],
  "word": "partial function"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.

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