"hyperplane" meaning in All languages combined

See hyperplane on Wiktionary

Noun [English]

Audio: LL-Q1860 (eng)-Flame, not lame-hyperplane.wav Forms: hyperplanes [plural]
Etymology: From hyper- + plane. Etymology templates: {{prefix|en|hyper|plane}} hyper- + plane Head templates: {{en-noun}} hyperplane (plural hyperplanes)
  1. (geometry) An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.) Wikipedia link: hyperplane Categories (topical): Geometry Related terms: hypersurface Translations (an n-dimensional generalization of a plane): nadrovina [feminine] (Czech), hyperplan [masculine] (French), Hyperebene [feminine] (German), hipersík (Hungarian), гипержазықтық (giperjazyqtyq) (Kazakh), гиперпло́скость (giperplóskostʹ) [feminine] (Russian)

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "hyper",
        "3": "plane"
      },
      "expansion": "hyper- + plane",
      "name": "prefix"
    }
  ],
  "etymology_text": "From hyper- + plane.",
  "forms": [
    {
      "form": "hyperplanes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperplane (plural hyperplanes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with hyper-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Czech translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Hungarian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Kazakh translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Russian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)"
      ],
      "id": "en-hyperplane-en-noun-v1dseEti",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "dimension",
          "dimension"
        ],
        [
          "plane",
          "plane"
        ],
        [
          "affine",
          "affine"
        ],
        [
          "subspace",
          "subspace"
        ],
        [
          "split",
          "split"
        ],
        [
          "point",
          "point"
        ],
        [
          "line",
          "line"
        ]
      ],
      "raw_glosses": [
        "(geometry) An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)"
      ],
      "related": [
        {
          "word": "hypersurface"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "an n-dimensional generalization of a plane",
          "tags": [
            "feminine"
          ],
          "word": "nadrovina"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "an n-dimensional generalization of a plane",
          "tags": [
            "masculine"
          ],
          "word": "hyperplan"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "an n-dimensional generalization of a plane",
          "tags": [
            "feminine"
          ],
          "word": "Hyperebene"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "an n-dimensional generalization of a plane",
          "word": "hipersík"
        },
        {
          "code": "kk",
          "lang": "Kazakh",
          "roman": "giperjazyqtyq",
          "sense": "an n-dimensional generalization of a plane",
          "word": "гипержазықтық"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "giperplóskostʹ",
          "sense": "an n-dimensional generalization of a plane",
          "tags": [
            "feminine"
          ],
          "word": "гиперпло́скость"
        }
      ],
      "wikipedia": [
        "hyperplane"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-hyperplane.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5d/LL-Q1860_%28eng%29-Flame%2C_not_lame-hyperplane.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-hyperplane.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5d/LL-Q1860_%28eng%29-Flame%2C_not_lame-hyperplane.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-hyperplane.wav.ogg"
    }
  ],
  "word": "hyperplane"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "hyper",
        "3": "plane"
      },
      "expansion": "hyper- + plane",
      "name": "prefix"
    }
  ],
  "etymology_text": "From hyper- + plane.",
  "forms": [
    {
      "form": "hyperplanes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperplane (plural hyperplanes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "hypersurface"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with hyper-",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Czech translations",
        "Terms with French translations",
        "Terms with German translations",
        "Terms with Hungarian translations",
        "Terms with Kazakh translations",
        "Terms with Russian translations",
        "en:Geometry"
      ],
      "glosses": [
        "An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)"
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "dimension",
          "dimension"
        ],
        [
          "plane",
          "plane"
        ],
        [
          "affine",
          "affine"
        ],
        [
          "subspace",
          "subspace"
        ],
        [
          "split",
          "split"
        ],
        [
          "point",
          "point"
        ],
        [
          "line",
          "line"
        ]
      ],
      "raw_glosses": [
        "(geometry) An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)"
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "hyperplane"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-hyperplane.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5d/LL-Q1860_%28eng%29-Flame%2C_not_lame-hyperplane.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-hyperplane.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5d/LL-Q1860_%28eng%29-Flame%2C_not_lame-hyperplane.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-hyperplane.wav.ogg"
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "an n-dimensional generalization of a plane",
      "tags": [
        "feminine"
      ],
      "word": "nadrovina"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "an n-dimensional generalization of a plane",
      "tags": [
        "masculine"
      ],
      "word": "hyperplan"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "an n-dimensional generalization of a plane",
      "tags": [
        "feminine"
      ],
      "word": "Hyperebene"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "an n-dimensional generalization of a plane",
      "word": "hipersík"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "giperjazyqtyq",
      "sense": "an n-dimensional generalization of a plane",
      "word": "гипержазықтық"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "giperplóskostʹ",
      "sense": "an n-dimensional generalization of a plane",
      "tags": [
        "feminine"
      ],
      "word": "гиперпло́скость"
    }
  ],
  "word": "hyperplane"
}

Download raw JSONL data for hyperplane meaning in All languages combined (3.0kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.