"eigensheaf" meaning in All languages combined

See eigensheaf on Wiktionary

Noun [English]

Forms: eigensheaves [plural]
Etymology: eigen- + sheaf Etymology templates: {{prefix|en|eigen|sheaf}} eigen- + sheaf Head templates: {{en-noun|eigensheaves}} eigensheaf (plural eigensheaves)
  1. (mathematics) Any sheaf whose value is based on an eigenfunction Categories (topical): Mathematics Derived forms: Hecke eigensheaf
    Sense id: en-eigensheaf-en-noun-HyaASBWZ Categories (other): English entries with incorrect language header, English terms prefixed with eigen- Topics: mathematics, sciences

Inflected forms

Download JSON data for eigensheaf meaning in All languages combined (1.2kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "eigen",
        "3": "sheaf"
      },
      "expansion": "eigen- + sheaf",
      "name": "prefix"
    }
  ],
  "etymology_text": "eigen- + sheaf",
  "forms": [
    {
      "form": "eigensheaves",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "eigensheaves"
      },
      "expansion": "eigensheaf (plural eigensheaves)",
      "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 eigen-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "Hecke eigensheaf"
        }
      ],
      "glosses": [
        "Any sheaf whose value is based on an eigenfunction"
      ],
      "id": "en-eigensheaf-en-noun-HyaASBWZ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sheaf",
          "sheaf"
        ],
        [
          "value",
          "value"
        ],
        [
          "eigenfunction",
          "eigenfunction"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any sheaf whose value is based on an eigenfunction"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "eigensheaf"
}
{
  "derived": [
    {
      "word": "Hecke eigensheaf"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "eigen",
        "3": "sheaf"
      },
      "expansion": "eigen- + sheaf",
      "name": "prefix"
    }
  ],
  "etymology_text": "eigen- + sheaf",
  "forms": [
    {
      "form": "eigensheaves",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "eigensheaves"
      },
      "expansion": "eigensheaf (plural eigensheaves)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English nouns with irregular plurals",
        "English terms prefixed with eigen-",
        "en:Mathematics"
      ],
      "glosses": [
        "Any sheaf whose value is based on an eigenfunction"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sheaf",
          "sheaf"
        ],
        [
          "value",
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        ],
        [
          "eigenfunction",
          "eigenfunction"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any sheaf whose value is based on an eigenfunction"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "eigensheaf"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-23 from the enwiktionary dump dated 2024-06-20 using wiktextract (1b9bfc5 and 0136956). 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.