"suite de Cauchy" meaning in All languages combined

See suite de Cauchy on Wiktionary

Noun [Français]

  1. Suite uₙ d’éléments d’un espace métrique (X,d) telle que d(uₙ,uₘ) soit arbitrairement petit quand n et m sont arbitrairement grands.
    Sense id: fr-suite_de_Cauchy-fr-noun-cc1XBQXT Categories (other): Exemples en français, Lexique en français des mathématiques Topics: mathematics
The following are not (yet) sense-disambiguated
{
  "categories": [
    {
      "kind": "other",
      "name": "Locutions nominales en français",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Pages liées à Wikipédia en français",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Français",
      "orig": "français",
      "parents": [],
      "source": "w"
    }
  ],
  "etymology_texts": [
    "Du nom de famille, Cauchy, du mathématicien français Augustin Louis Cauchy, qui énonça un critère de convergence des suites réelles."
  ],
  "lang": "Français",
  "lang_code": "fr",
  "pos": "noun",
  "pos_title": "Locution nominale",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Exemples en français",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Lexique en français des mathématiques",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Exemple de suite de Cauchy : ∀ϵ>0,,∃N,,∀n,m>N,,d(u_n,u_m)<ϵ."
        }
      ],
      "glosses": [
        "Suite uₙ d’éléments d’un espace métrique (X,d) telle que d(uₙ,uₘ) soit arbitrairement petit quand n et m sont arbitrairement grands."
      ],
      "id": "fr-suite_de_Cauchy-fr-noun-cc1XBQXT",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "tags": [
    "feminine"
  ],
  "word": "suite de Cauchy"
}
{
  "categories": [
    "Locutions nominales en français",
    "Pages liées à Wikipédia en français",
    "français"
  ],
  "etymology_texts": [
    "Du nom de famille, Cauchy, du mathématicien français Augustin Louis Cauchy, qui énonça un critère de convergence des suites réelles."
  ],
  "lang": "Français",
  "lang_code": "fr",
  "pos": "noun",
  "pos_title": "Locution nominale",
  "senses": [
    {
      "categories": [
        "Exemples en français",
        "Lexique en français des mathématiques"
      ],
      "examples": [
        {
          "text": "Exemple de suite de Cauchy : ∀ϵ>0,,∃N,,∀n,m>N,,d(u_n,u_m)<ϵ."
        }
      ],
      "glosses": [
        "Suite uₙ d’éléments d’un espace métrique (X,d) telle que d(uₙ,uₘ) soit arbitrairement petit quand n et m sont arbitrairement grands."
      ],
      "topics": [
        "mathematics"
      ]
    }
  ],
  "tags": [
    "feminine"
  ],
  "word": "suite de Cauchy"
}

Download raw JSONL data for suite de Cauchy meaning in All languages combined (0.8kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-02-14 from the frwiktionary dump dated 2025-02-02 using wiktextract (ca09fec and c40eb85). 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.