"elliptic curve" meaning in All languages combined

See elliptic curve on Wiktionary

Noun [English]

Forms: elliptic curves [plural]
Etymology: So called because it is the locus of an elliptic function. Head templates: {{en-noun}} elliptic curve (plural elliptic curves)
  1. (algebraic geometry) The algebraic set of an equation which equates the square of one variable to a reduced cubic polynomial in another variable, over some field, and such that the discriminant of the reduced cubic is non-zero. Wikipedia link: elliptic curve Categories (topical): Algebraic geometry, Curves Derived forms: elliptic-curve cryptography, elliptic-curve DSA, hyperelliptic curve Translations (Translations): elliptische kromme [feminine, masculine] (Dutch), elliptinen käyrä (Finnish), courbe elliptique [feminine] (French), elliptische Kurve [feminine] (German), sporger ferill [masculine] (Icelandic), curva ellittica [feminine] (Italian), 楕円曲線 (Japanese), curva elíptica [feminine] (Portuguese), эллипти́ческая крива́я (elliptíčeskaja krivája) [feminine] (Russian), curva elíptica [feminine] (Spanish)

Inflected forms

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  "etymology_text": "So called because it is the locus of an elliptic function.",
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          "word": "elliptic-curve cryptography"
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      "glosses": [
        "The algebraic set of an equation which equates the square of one variable to a reduced cubic polynomial in another variable, over some field, and such that the discriminant of the reduced cubic is non-zero."
      ],
      "id": "en-elliptic_curve-en-noun-oXFMCeB1",
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          "algebraic set",
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          "cubic",
          "cubic"
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        [
          "field",
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          "discriminant",
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        "(algebraic geometry) The algebraic set of an equation which equates the square of one variable to a reduced cubic polynomial in another variable, over some field, and such that the discriminant of the reduced cubic is non-zero."
      ],
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          "code": "nl",
          "lang": "Dutch",
          "sense": "Translations",
          "tags": [
            "feminine",
            "masculine"
          ],
          "word": "elliptische kromme"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "elliptinen käyrä"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "courbe elliptique"
        },
        {
          "code": "de",
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          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "elliptische Kurve"
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          "tags": [
            "masculine"
          ],
          "word": "sporger ferill"
        },
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          "code": "it",
          "lang": "Italian",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "curva ellittica"
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          "code": "ja",
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          "sense": "Translations",
          "word": "楕円曲線"
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          ],
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          "code": "ru",
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          "roman": "elliptíčeskaja krivája",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "эллипти́ческая крива́я"
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          "lang": "Spanish",
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            "feminine"
          ],
          "word": "curva elíptica"
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  "word": "elliptic curve"
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    {
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      "word": "hyperelliptic curve"
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      "raw_glosses": [
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      "code": "nl",
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      "word": "elliptische kromme"
    },
    {
      "code": "fi",
      "lang": "Finnish",
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      "word": "elliptinen käyrä"
    },
    {
      "code": "fr",
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        "feminine"
      ],
      "word": "courbe elliptique"
    },
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      "code": "de",
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      "code": "it",
      "lang": "Italian",
      "sense": "Translations",
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        "feminine"
      ],
      "word": "curva ellittica"
    },
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      "code": "ja",
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      "word": "楕円曲線"
    },
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        "feminine"
      ],
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      "lang": "Russian",
      "roman": "elliptíčeskaja krivája",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
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      "lang": "Spanish",
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      "tags": [
        "feminine"
      ],
      "word": "curva elíptica"
    }
  ],
  "word": "elliptic curve"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.