"implicit function" meaning in English

See implicit function in All languages combined, or Wiktionary

Noun

Forms: implicit functions [plural]
Head templates: {{en-noun}} implicit function (plural implicit functions)
  1. (mathematical analysis, algebraic geometry) A function defined by a (multivariable) implicit equation when one of the variables is regarded as the value of the function, especially where said equation is such that the value is not directly calculable from the other variables. Wikipedia link: implicit function Categories (topical): Algebraic geometry, Calculus, Functions, Mathematical analysis Related terms: explicit function, implicit curve, implicit equation, implicit differentiation, implicit function theorem, algebraic function, functional equation Translations (function defined as the solution to an implicit equation): неявна функция (nejavna funkcija) [feminine] (Bulgarian), fonction implicite [feminine] (French), implizite Funktion [feminine] (German), fólgið fall [neuter] (Icelandic), funzione implicita [feminine] (Italian), нея́вная фу́нкция (nejávnaja fúnkcija) [feminine] (Russian), función implícita [feminine] (Spanish), hiwatig na kabisa (Tagalog)

Inflected forms

Download JSON data for implicit function meaning in English (5.6kB)

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          "text": "An important class of implicit functions comprises those defined by equations of the form x-f(y)#x3D;0. Choosing y as the value means that the implicit function is the inverse of f. This type of implicit function is of particular interest when that inverse is not expressible as a closed-form expression, and thus is difficult to study directly.",
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        "(mathematical analysis, algebraic geometry) A function defined by a (multivariable) implicit equation when one of the variables is regarded as the value of the function, especially where said equation is such that the value is not directly calculable from the other variables."
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      "roman": "nejavna funkcija",
      "sense": "function defined as the solution to an implicit equation",
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      "word": "неявна функция"
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      "tags": [
        "feminine"
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      "word": "fonction implicite"
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      "lang": "German",
      "sense": "function defined as the solution to an implicit equation",
      "tags": [
        "feminine"
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      "tags": [
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      ],
      "word": "funzione implicita"
    },
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      "sense": "function defined as the solution to an implicit equation",
      "tags": [
        "feminine"
      ],
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    },
    {
      "code": "es",
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      "sense": "function defined as the solution to an implicit equation",
      "tags": [
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      ],
      "word": "función implícita"
    },
    {
      "code": "tl",
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      "sense": "function defined as the solution to an implicit equation",
      "word": "hiwatig na kabisa"
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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 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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