"tangent bundle" meaning in English

See tangent bundle in All languages combined, or Wiktionary

Noun

Forms: tangent bundles [plural]
Head templates: {{en-noun}} tangent bundle (plural tangent bundles)
  1. (topology) A fiber bundle for which the base space is a differentiable manifold and each fiber over a point of that manifold is the tangent space of that point. Wikipedia link: tangent bundle Categories (topical): Topology Hypernyms: vector bundle Translations (Translations): tangenttikimppu (Finnish), Tangentialbündel [neuter] (German)
    Sense id: en-tangent_bundle-en-noun-3yBBY6iU Categories (other): English entries with incorrect language header Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for tangent bundle meaning in English (1.5kB)

{
  "forms": [
    {
      "form": "tangent bundles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "tangent bundle (plural tangent bundles)",
      "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": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A fiber bundle for which the base space is a differentiable manifold and each fiber over a point of that manifold is the tangent space of that point."
      ],
      "hypernyms": [
        {
          "word": "vector bundle"
        }
      ],
      "id": "en-tangent_bundle-en-noun-3yBBY6iU",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "fiber bundle",
          "fiber bundle"
        ],
        [
          "differentiable",
          "differentiable"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "tangent space",
          "tangent space"
        ]
      ],
      "raw_glosses": [
        "(topology) A fiber bundle for which the base space is a differentiable manifold and each fiber over a point of that manifold is the tangent space of that point."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "tangenttikimppu"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "neuter"
          ],
          "word": "Tangentialbündel"
        }
      ],
      "wikipedia": [
        "tangent bundle"
      ]
    }
  ],
  "word": "tangent bundle"
}
{
  "forms": [
    {
      "form": "tangent bundles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "tangent bundle (plural tangent bundles)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "vector bundle"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Translation table header lacks gloss",
        "en:Topology"
      ],
      "glosses": [
        "A fiber bundle for which the base space is a differentiable manifold and each fiber over a point of that manifold is the tangent space of that point."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "fiber bundle",
          "fiber bundle"
        ],
        [
          "differentiable",
          "differentiable"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "tangent space",
          "tangent space"
        ]
      ],
      "raw_glosses": [
        "(topology) A fiber bundle for which the base space is a differentiable manifold and each fiber over a point of that manifold is the tangent space of that point."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "tangent bundle"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "tangenttikimppu"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "neuter"
      ],
      "word": "Tangentialbündel"
    }
  ],
  "word": "tangent bundle"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.