"idempotent" meaning in All languages combined

See idempotent on Wiktionary

Adjective [English]

IPA: /aɪ.dəmˈpoʊ.tənt/ [US], /ɪ.dəmˈpoʊ.tənt/ [US], /aɪˈdɛm.pə.tənt/ [US] Audio: En-us-idempotent.oga [US]
Etymology: Latin roots, idem (“same”) + potent (“having power”) – literally, “having the same power”. Coined in 1870 by American mathematician Benjamin Peirce in the context of algebra. Etymology templates: {{uder|en|la|-}} Latin, {{compound|en|idem|potent|t1=same|t2=having power}} idem (“same”) + potent (“having power”) Head templates: {{en-adj|-}} idempotent (not comparable)
  1. (mathematics, computing) (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed. Tags: not-comparable Categories (topical): Computing, Mathematics Translations (mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed): 冪等 (Chinese Mandarin), 幂等 (mìděng) (Chinese Mandarin), idempotentní (Czech), idempotent (Danish), idempotento (Esperanto), idempotentti (Finnish), idempotent (German), sjálfvalda (Icelandic), 冪等 (bekitō) (alt: べきとう) (Japanese), idempotentny (Polish), идемпоте́нтный (idempoténtnyj) (Russian), idempotent (Swedish), idempotent (Turkish)
    Sense id: en-idempotent-en-adj-nE8ClEkX Categories (other): English undefined derivations Disambiguation of English undefined derivations: 24 24 19 10 13 10 Topics: computing, engineering, mathematics, natural-sciences, physical-sciences, sciences Disambiguation of 'mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed': 83 8 5 4
  2. (mathematics) (said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself. Tags: not-comparable Categories (topical): Mathematics Translations (mathematics: Said of an element of an algebraic structure with a binary operation: that when the element operates on itself, the result is equal to itself): 冪等 (Chinese Mandarin), 幂等 (mìděng) (Chinese Mandarin), idempotento (Esperanto), idempotentti (Finnish), ταυτοδύναμος (taftodýnamos) [masculine] (Greek), idempotente (Spanish)
    Sense id: en-idempotent-en-adj-Y94bHPeM Categories (other): English entries with incorrect language header, English undefined derivations Disambiguation of English entries with incorrect language header: 25 31 23 7 8 7 Disambiguation of English undefined derivations: 24 24 19 10 13 10 Topics: mathematics, sciences Disambiguation of 'mathematics: Said of an element of an algebraic structure with a binary operation: that when the element operates on itself, the result is equal to itself': 12 48 17 24
  3. (mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above). Tags: not-comparable Categories (topical): Mathematics Translations (Said of a binary operation: that all of the distinct elements it can operate on are idempotent): idempotentti (Finnish)
    Sense id: en-idempotent-en-adj-0ImempKt Categories (other): English undefined derivations Disambiguation of English undefined derivations: 24 24 19 10 13 10 Topics: mathematics, sciences Disambiguation of 'Said of a binary operation: that all of the distinct elements it can operate on are idempotent': 12 30 47 11
  4. (mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above). Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-idempotent-en-adj-FJEkt5gs Categories (other): English undefined derivations Disambiguation of English undefined derivations: 24 24 19 10 13 10 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Related terms: idempotence, nilpotent, nullipotent, unipotent, involutory Coordinate_terms: nilpotent, nullipotent

Noun [English]

IPA: /aɪ.dəmˈpoʊ.tənt/ [US], /ɪ.dəmˈpoʊ.tənt/ [US], /aɪˈdɛm.pə.tənt/ [US] Audio: En-us-idempotent.oga [US] Forms: idempotents [plural]
Etymology: Latin roots, idem (“same”) + potent (“having power”) – literally, “having the same power”. Coined in 1870 by American mathematician Benjamin Peirce in the context of algebra. Etymology templates: {{uder|en|la|-}} Latin, {{compound|en|idem|potent|t1=same|t2=having power}} idem (“same”) + potent (“having power”) Head templates: {{en-noun}} idempotent (plural idempotents)
  1. (mathematics) An idempotent element. Categories (topical): Mathematics
    Sense id: en-idempotent-en-noun-iR1tbctR Categories (other): English undefined derivations Disambiguation of English undefined derivations: 24 24 19 10 13 10 Topics: mathematics, sciences
  2. (mathematics) An idempotent structure. Categories (topical): Mathematics
    Sense id: en-idempotent-en-noun-zgayowmh Topics: mathematics, sciences

Adjective [French]

Audio: LL-Q150 (fra)-LoquaxFR-idempotent.wav Forms: idempotente [feminine], idempotents [masculine, plural], idempotentes [feminine, plural]
Head templates: {{fr-adj}} idempotent (feminine idempotente, masculine plural idempotents, feminine plural idempotentes)
  1. idempotent
    Sense id: en-idempotent-fr-adj-DIasoFw6 Categories (other): French entries with incorrect language header

Adjective [German]

Audio: De-idempotent.ogg
Head templates: {{de-adj}} idempotent (strong nominative masculine singular idempotenter, not comparable) Inflection templates: {{de-adecl}} Forms: idempotenter [masculine, nominative, singular, strong], no-table-tags [table-tags], idempotent [masculine, predicative, singular], idempotent [feminine, predicative, singular], idempotent [neuter, predicative, singular], idempotent [plural, predicative], idempotenter [masculine, nominative, singular, strong, without-article], idempotente [feminine, nominative, singular, strong, without-article], idempotentes [neuter, nominative, singular, strong, without-article], idempotente [nominative, plural, strong, without-article], idempotenten [genitive, masculine, singular, strong, without-article], idempotenter [feminine, genitive, singular, strong, without-article], idempotenten [genitive, neuter, singular, strong, without-article], idempotenter [genitive, plural, strong, without-article], idempotentem [dative, masculine, singular, strong, without-article], idempotenter [dative, feminine, singular, strong, without-article], idempotentem [dative, neuter, singular, strong, without-article], idempotenten [dative, plural, strong, without-article], idempotenten [accusative, masculine, singular, strong, without-article], idempotente [accusative, feminine, singular, strong, without-article], idempotentes [accusative, neuter, singular, strong, without-article], idempotente [accusative, plural, strong, without-article], der idempotente [definite, includes-article, masculine, nominative, singular, weak], die idempotente [definite, feminine, includes-article, nominative, singular, weak], das idempotente [definite, includes-article, neuter, nominative, singular, weak], die idempotenten [definite, includes-article, nominative, plural, weak], des idempotenten [definite, genitive, includes-article, masculine, singular, weak], der idempotenten [definite, feminine, genitive, includes-article, singular, weak], des idempotenten [definite, genitive, includes-article, neuter, singular, weak], der idempotenten [definite, genitive, includes-article, plural, weak], dem idempotenten [dative, definite, includes-article, masculine, singular, weak], der idempotenten [dative, definite, feminine, includes-article, singular, weak], dem idempotenten [dative, definite, includes-article, neuter, singular, weak], den idempotenten [dative, definite, includes-article, plural, weak], den idempotenten [accusative, definite, includes-article, masculine, singular, weak], die idempotente [accusative, definite, feminine, includes-article, singular, weak], das idempotente [accusative, definite, includes-article, neuter, singular, weak], die idempotenten [accusative, definite, includes-article, plural, weak], ein idempotenter [includes-article, indefinite, masculine, mixed, nominative, singular], eine idempotente [feminine, includes-article, indefinite, mixed, nominative, singular], ein idempotentes [includes-article, indefinite, mixed, neuter, nominative, singular], idempotenten [indefinite, mixed, nominative, plural], keine idempotenten [includes-article, indefinite, mixed, negative, nominative, plural], eines idempotenten [genitive, includes-article, indefinite, masculine, mixed, singular], einer idempotenten [feminine, genitive, includes-article, indefinite, mixed, singular], eines idempotenten [genitive, includes-article, indefinite, mixed, neuter, singular], idempotenten [genitive, indefinite, mixed, plural], keiner idempotenten [genitive, includes-article, indefinite, mixed, negative, plural], einem idempotenten [dative, includes-article, indefinite, masculine, mixed, singular], einer idempotenten [dative, feminine, includes-article, indefinite, mixed, singular], einem idempotenten [dative, includes-article, indefinite, mixed, neuter, singular], idempotenten [dative, indefinite, mixed, plural], keinen idempotenten [dative, includes-article, indefinite, mixed, negative, plural], einen idempotenten [accusative, includes-article, indefinite, masculine, mixed, singular], eine idempotente [accusative, feminine, includes-article, indefinite, mixed, singular], ein idempotentes [accusative, includes-article, indefinite, mixed, neuter, singular], idempotenten [accusative, indefinite, mixed, plural], keine idempotenten [accusative, includes-article, indefinite, mixed, negative, plural]
  1. idempotent Tags: not-comparable
    Sense id: en-idempotent-de-adj-DIasoFw6 Categories (other): German entries with incorrect language header

Adjective [Swedish]

Head templates: {{head|sv|adjective}} idempotent
  1. idempotent
    Sense id: en-idempotent-sv-adj-DIasoFw6 Categories (other): Swedish entries with incorrect language header

Adjective [Turkish]

Head templates: {{head|tr|adjective}} idempotent
  1. idempotent
    Sense id: en-idempotent-tr-adj-DIasoFw6 Categories (other): Turkish entries with incorrect language header

Inflected forms

Download JSON data for idempotent meaning in All languages combined (22.9kB)

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          "text": "A projection operator is idempotent."
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        "(mathematics, computing) (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed."
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        {
          "_dis1": "83 8 5 4",
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          "_dis1": "83 8 5 4",
          "code": "da",
          "lang": "Danish",
          "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
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          "word": "idempotent"
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          "lang": "Icelandic",
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          "alt": "べきとう",
          "code": "ja",
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          "roman": "bekitō",
          "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
          "word": "冪等"
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          "_dis1": "83 8 5 4",
          "code": "pl",
          "lang": "Polish",
          "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
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          "_dis1": "83 8 5 4",
          "code": "ru",
          "lang": "Russian",
          "roman": "idempoténtnyj",
          "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
          "word": "идемпоте́нтный"
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          "text": "Every finite semigroup has an idempotent element."
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        "(said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself."
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          "text": "Since the AND logical operator is commutative, associative, and idempotent, it distributes with respect to itself."
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        "(mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above)."
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      "translations": [
        {
          "_dis1": "12 30 47 11",
          "code": "fi",
          "lang": "Finnish",
          "sense": "Said of a binary operation: that all of the distinct elements it can operate on are idempotent",
          "word": "idempotentti"
        }
      ]
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      ],
      "glosses": [
        "(said of an algebraic structure) Having an idempotent operation (in the sense given above)."
      ],
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      "links": [
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      "raw_glosses": [
        "(mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above)."
      ],
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        "not-comparable"
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      "topics": [
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  "sounds": [
    {
      "ipa": "/aɪ.dəmˈpoʊ.tənt/",
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        "US"
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    {
      "ipa": "/ɪ.dəmˈpoʊ.tənt/",
      "tags": [
        "US"
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    {
      "ipa": "/aɪˈdɛm.pə.tənt/",
      "tags": [
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      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/6/6e/En-us-idempotent.oga",
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      "text": "Audio (US)"
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  "wikipedia": [
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    "idempotent"
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}

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        "(mathematics, computing) (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed."
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          "text": "Every finite semigroup has an idempotent element."
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          "text": "Every group has a unique idempotent element: namely, its identity element."
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        "(said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself."
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          "text": "Since the AND logical operator is commutative, associative, and idempotent, it distributes with respect to itself."
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        "(said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above)."
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        "(mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above)."
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      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
      "word": "冪等"
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      "code": "cmn",
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      "roman": "mìděng",
      "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
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      "lang": "Czech",
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      "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
      "word": "idempotentti"
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      "code": "de",
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      "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
      "word": "idempotent"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
      "word": "sjálfvalda"
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      "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
      "word": "冪等"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
      "word": "idempotentny"
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      "code": "ru",
      "lang": "Russian",
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      "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
      "word": "идемпоте́нтный"
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      "code": "sv",
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      "sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
      "word": "idempotent"
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      "code": "tr",
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    },
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      "code": "fi",
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      "word": "idempotentti"
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      "code": "el",
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      "sense": "mathematics: Said of an element of an algebraic structure with a binary operation: that when the element operates on itself, the result is equal to itself",
      "tags": [
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      "word": "ταυτοδύναμος"
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    {
      "form": "eines idempotenten",
      "source": "declension",
      "tags": [
        "genitive",
        "includes-article",
        "indefinite",
        "mixed",
        "neuter",
        "singular"
      ]
    },
    {
      "form": "idempotenten",
      "source": "declension",
      "tags": [
        "genitive",
        "indefinite",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "keiner idempotenten",
      "source": "declension",
      "tags": [
        "genitive",
        "includes-article",
        "indefinite",
        "mixed",
        "negative",
        "plural"
      ]
    },
    {
      "form": "einem idempotenten",
      "source": "declension",
      "tags": [
        "dative",
        "includes-article",
        "indefinite",
        "masculine",
        "mixed",
        "singular"
      ]
    },
    {
      "form": "einer idempotenten",
      "source": "declension",
      "tags": [
        "dative",
        "feminine",
        "includes-article",
        "indefinite",
        "mixed",
        "singular"
      ]
    },
    {
      "form": "einem idempotenten",
      "source": "declension",
      "tags": [
        "dative",
        "includes-article",
        "indefinite",
        "mixed",
        "neuter",
        "singular"
      ]
    },
    {
      "form": "idempotenten",
      "source": "declension",
      "tags": [
        "dative",
        "indefinite",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "keinen idempotenten",
      "source": "declension",
      "tags": [
        "dative",
        "includes-article",
        "indefinite",
        "mixed",
        "negative",
        "plural"
      ]
    },
    {
      "form": "einen idempotenten",
      "source": "declension",
      "tags": [
        "accusative",
        "includes-article",
        "indefinite",
        "masculine",
        "mixed",
        "singular"
      ]
    },
    {
      "form": "eine idempotente",
      "source": "declension",
      "tags": [
        "accusative",
        "feminine",
        "includes-article",
        "indefinite",
        "mixed",
        "singular"
      ]
    },
    {
      "form": "ein idempotentes",
      "source": "declension",
      "tags": [
        "accusative",
        "includes-article",
        "indefinite",
        "mixed",
        "neuter",
        "singular"
      ]
    },
    {
      "form": "idempotenten",
      "source": "declension",
      "tags": [
        "accusative",
        "indefinite",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "keine idempotenten",
      "source": "declension",
      "tags": [
        "accusative",
        "includes-article",
        "indefinite",
        "mixed",
        "negative",
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "idempotent (strong nominative masculine singular idempotenter, not comparable)",
      "name": "de-adj"
    }
  ],
  "inflection_templates": [
    {
      "args": {},
      "name": "de-adecl"
    }
  ],
  "lang": "German",
  "lang_code": "de",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "German adjectives",
        "German entries with incorrect language header",
        "German lemmas",
        "German terms with audio links",
        "German uncomparable adjectives"
      ],
      "glosses": [
        "idempotent"
      ],
      "links": [
        [
          "idempotent",
          "#English"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "De-idempotent.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/6f/De-idempotent.ogg/De-idempotent.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/6/6f/De-idempotent.ogg",
      "text": "Audio"
    }
  ],
  "word": "idempotent"
}

{
  "head_templates": [
    {
      "args": {
        "1": "sv",
        "2": "adjective"
      },
      "expansion": "idempotent",
      "name": "head"
    }
  ],
  "lang": "Swedish",
  "lang_code": "sv",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "Swedish adjectives",
        "Swedish entries with incorrect language header",
        "Swedish lemmas"
      ],
      "glosses": [
        "idempotent"
      ],
      "links": [
        [
          "idempotent",
          "#English"
        ]
      ]
    }
  ],
  "word": "idempotent"
}

{
  "head_templates": [
    {
      "args": {
        "1": "tr",
        "2": "adjective"
      },
      "expansion": "idempotent",
      "name": "head"
    }
  ],
  "lang": "Turkish",
  "lang_code": "tr",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "Turkish adjectives",
        "Turkish entries with incorrect language header",
        "Turkish lemmas"
      ],
      "glosses": [
        "idempotent"
      ],
      "links": [
        [
          "idempotent",
          "#English"
        ]
      ]
    }
  ],
  "word": "idempotent"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.

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.