"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

Download JSON data for elliptic curve meaning in All languages combined (3.3kB)

{
  "etymology_text": "So called because it is the locus of an elliptic function.",
  "forms": [
    {
      "form": "elliptic curves",
      "tags": [
        "plural"
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      "derived": [
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          "word": "elliptic-curve cryptography"
        },
        {
          "word": "elliptic-curve DSA"
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        }
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        "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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          "discriminant",
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      "raw_glosses": [
        "(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."
      ],
      "topics": [
        "algebraic-geometry",
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      "translations": [
        {
          "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",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "elliptische Kurve"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "sporger ferill"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "curva ellittica"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "sense": "Translations",
          "word": "楕円曲線"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "curva elíptica"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "elliptíčeskaja krivája",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "эллипти́ческая крива́я"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "Translations",
          "tags": [
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          ],
          "word": "curva elíptica"
        }
      ],
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      ]
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  ],
  "word": "elliptic curve"
}
{
  "derived": [
    {
      "word": "elliptic-curve cryptography"
    },
    {
      "word": "elliptic-curve DSA"
    },
    {
      "word": "hyperelliptic curve"
    }
  ],
  "etymology_text": "So called because it is the locus of an elliptic function.",
  "forms": [
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      "form": "elliptic curves",
      "tags": [
        "plural"
      ]
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      "raw_glosses": [
        "(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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        "algebraic-geometry",
        "geometry",
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      ],
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  "translations": [
    {
      "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",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "elliptische Kurve"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "sporger ferill"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "curva ellittica"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "sense": "Translations",
      "word": "楕円曲線"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "curva elíptica"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "elliptíčeskaja krivája",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "эллипти́ческая крива́я"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "curva elíptica"
    }
  ],
  "word": "elliptic curve"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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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