"division euclidienne" meaning in Français

See division euclidienne in All languages combined, or Wiktionary

Noun

IPA: \di.vi.zjɔ̃.ø.kli.djɛn\, yn di.vi.zjɔ̃ ø.kli.djɛn Audio: Fr-Paris--division euclidienne (une).ogg , LL-Q150 (fra)-LoquaxFR-division euclidienne.wav , LL-Q150 (fra)-Lepticed7-division euclidienne.wav Forms: divisions euclidiennes [plural]
  1. Opération arithmétique inverse de la multiplication ne faisant intervenir que des entiers ; à un dividende a et un diviseur b non nul, elle associe le quotient q et le reste r tels que a = bq + r avec r compris entre 0 et b inclus.
    Sense id: fr-division_euclidienne-fr-noun-flEyGBpO Categories (other): Lexique en français de l’arithmétique Topics: arithmetic
  2. Opération inverse de la loi multiplicative dans un anneau euclidien qui, à deux éléments a et b, associe q et r uniques tels que a = bq + r et v(r) < v(b) où v est le stathme euclidien. Tags: broadly
    Sense id: fr-division_euclidienne-fr-noun-RXEdlq6i Categories (other): Exemples en français, Lexique en français des mathématiques Topics: mathematics
The following are not (yet) sense-disambiguated
Synonyms: division entière Hypernyms: division, opération Meronyms: dividende, diviseur, quotient, reste Related terms: division cartésienne, divisibilité, modulo Translations: Euclidean division (Anglais), entire division (Anglais), division with remainder (Anglais), قِسْمَةٌ إقْلِيدِيَّة (qismat(un) ʾiqlīdiyyah) (Arabe), 整除法 (seijohō) (Japonais), 剰余付き除法 (jōyo tsuki johō) (Japonais), geheeltallige deling [feminine] (Néerlandais), deling met rest [feminine] (Néerlandais)
{
  "antonyms": [
    {
      "sense_index": 1,
      "word": "multiplication"
    },
    {
      "sense_index": 2,
      "word": "loi multiplicative"
    }
  ],
  "categories": [
    {
      "kind": "other",
      "name": "Locutions nominales en français",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Traductions en anglais",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Traductions en arabe",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Traductions en japonais",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Traductions en néerlandais",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Français",
      "orig": "français",
      "parents": [],
      "source": "w"
    }
  ],
  "etymology_texts": [
    "De division (« opération arithmétique inverse de la multiplication ») et euclidien (« relatif au mathématicien grec Euclide »)"
  ],
  "forms": [
    {
      "form": "divisions euclidiennes",
      "ipas": [
        "\\di.vi.zjɔ̃.z‿ø.kli.djɛn\\"
      ],
      "tags": [
        "plural"
      ]
    }
  ],
  "hypernyms": [
    {
      "word": "division"
    },
    {
      "word": "opération"
    }
  ],
  "lang": "Français",
  "lang_code": "fr",
  "meronyms": [
    {
      "word": "dividende"
    },
    {
      "word": "diviseur"
    },
    {
      "word": "quotient"
    },
    {
      "word": "reste"
    }
  ],
  "pos": "noun",
  "pos_title": "Locution nominale",
  "related": [
    {
      "word": "division cartésienne"
    },
    {
      "word": "divisibilité"
    },
    {
      "word": "modulo"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Lexique en français de l’arithmétique",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "Opération arithmétique inverse de la multiplication ne faisant intervenir que des entiers ; à un dividende a et un diviseur b non nul, elle associe le quotient q et le reste r tels que a = bq + r avec r compris entre 0 et b inclus."
      ],
      "id": "fr-division_euclidienne-fr-noun-flEyGBpO",
      "topics": [
        "arithmetic"
      ]
    },
    {
      "categories": [
        {
          "kind": "other",
          "name": "Exemples en français",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Lexique en français des mathématiques",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Division euclidienne dans l’anneau des polynômes."
        },
        {
          "text": "Division euclidienne des entiers de Gauss."
        }
      ],
      "glosses": [
        "Opération inverse de la loi multiplicative dans un anneau euclidien qui, à deux éléments a et b, associe q et r uniques tels que a = bq + r et v(r) < v(b) où v est le stathme euclidien."
      ],
      "id": "fr-division_euclidienne-fr-noun-RXEdlq6i",
      "tags": [
        "broadly"
      ],
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "\\di.vi.zjɔ̃.ø.kli.djɛn\\"
    },
    {
      "audio": "Fr-Paris--division euclidienne (une).ogg",
      "ipa": "yn di.vi.zjɔ̃ ø.kli.djɛn",
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    {
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      ],
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    },
    {
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  ],
  "synonyms": [
    {
      "sense_index": 1,
      "word": "division entière"
    }
  ],
  "tags": [
    "feminine"
  ],
  "translations": [
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "Euclidean division"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "entire division"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "division with remainder"
    },
    {
      "lang": "Arabe",
      "lang_code": "ar",
      "roman": "qismat(un) ʾiqlīdiyyah",
      "word": "قِسْمَةٌ إقْلِيدِيَّة"
    },
    {
      "lang": "Japonais",
      "lang_code": "ja",
      "roman": "seijohō",
      "word": "整除法"
    },
    {
      "lang": "Japonais",
      "lang_code": "ja",
      "roman": "jōyo tsuki johō",
      "word": "剰余付き除法"
    },
    {
      "lang": "Néerlandais",
      "lang_code": "nl",
      "tags": [
        "feminine"
      ],
      "word": "geheeltallige deling"
    },
    {
      "lang": "Néerlandais",
      "lang_code": "nl",
      "tags": [
        "feminine"
      ],
      "word": "deling met rest"
    }
  ],
  "word": "division euclidienne"
}
{
  "antonyms": [
    {
      "sense_index": 1,
      "word": "multiplication"
    },
    {
      "sense_index": 2,
      "word": "loi multiplicative"
    }
  ],
  "categories": [
    "Locutions nominales en français",
    "Traductions en anglais",
    "Traductions en arabe",
    "Traductions en japonais",
    "Traductions en néerlandais",
    "français"
  ],
  "etymology_texts": [
    "De division (« opération arithmétique inverse de la multiplication ») et euclidien (« relatif au mathématicien grec Euclide »)"
  ],
  "forms": [
    {
      "form": "divisions euclidiennes",
      "ipas": [
        "\\di.vi.zjɔ̃.z‿ø.kli.djɛn\\"
      ],
      "tags": [
        "plural"
      ]
    }
  ],
  "hypernyms": [
    {
      "word": "division"
    },
    {
      "word": "opération"
    }
  ],
  "lang": "Français",
  "lang_code": "fr",
  "meronyms": [
    {
      "word": "dividende"
    },
    {
      "word": "diviseur"
    },
    {
      "word": "quotient"
    },
    {
      "word": "reste"
    }
  ],
  "pos": "noun",
  "pos_title": "Locution nominale",
  "related": [
    {
      "word": "division cartésienne"
    },
    {
      "word": "divisibilité"
    },
    {
      "word": "modulo"
    }
  ],
  "senses": [
    {
      "categories": [
        "Lexique en français de l’arithmétique"
      ],
      "glosses": [
        "Opération arithmétique inverse de la multiplication ne faisant intervenir que des entiers ; à un dividende a et un diviseur b non nul, elle associe le quotient q et le reste r tels que a = bq + r avec r compris entre 0 et b inclus."
      ],
      "topics": [
        "arithmetic"
      ]
    },
    {
      "categories": [
        "Exemples en français",
        "Lexique en français des mathématiques"
      ],
      "examples": [
        {
          "text": "Division euclidienne dans l’anneau des polynômes."
        },
        {
          "text": "Division euclidienne des entiers de Gauss."
        }
      ],
      "glosses": [
        "Opération inverse de la loi multiplicative dans un anneau euclidien qui, à deux éléments a et b, associe q et r uniques tels que a = bq + r et v(r) < v(b) où v est le stathme euclidien."
      ],
      "tags": [
        "broadly"
      ],
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
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      "ipa": "\\di.vi.zjɔ̃.ø.kli.djɛn\\"
    },
    {
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    },
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  ],
  "synonyms": [
    {
      "sense_index": 1,
      "word": "division entière"
    }
  ],
  "tags": [
    "feminine"
  ],
  "translations": [
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "Euclidean division"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "entire division"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "division with remainder"
    },
    {
      "lang": "Arabe",
      "lang_code": "ar",
      "roman": "qismat(un) ʾiqlīdiyyah",
      "word": "قِسْمَةٌ إقْلِيدِيَّة"
    },
    {
      "lang": "Japonais",
      "lang_code": "ja",
      "roman": "seijohō",
      "word": "整除法"
    },
    {
      "lang": "Japonais",
      "lang_code": "ja",
      "roman": "jōyo tsuki johō",
      "word": "剰余付き除法"
    },
    {
      "lang": "Néerlandais",
      "lang_code": "nl",
      "tags": [
        "feminine"
      ],
      "word": "geheeltallige deling"
    },
    {
      "lang": "Néerlandais",
      "lang_code": "nl",
      "tags": [
        "feminine"
      ],
      "word": "deling met rest"
    }
  ],
  "word": "division euclidienne"
}

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This page is a part of the kaikki.org machine-readable Français dictionary. This dictionary is based on structured data extracted on 2025-01-22 from the frwiktionary dump dated 2025-01-20 using wiktextract (0c0c1f1 and 4230888). 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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