See eigenbundle on Wiktionary
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{ "forms": [ { "form": "eigenbundles", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "eigenbundle (plural eigenbundles)", "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", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "glosses": [ "Given a section s of an endomorphism bundle Hom(E, E) and a function f: X → R, an eigenbundle is the result of taking the fiber over a point x ∈ X to be the f(x)-eigenspace of the linear map s(x): Eₓ → Eₓ." ], "links": [ [ "mathematics", "mathematics" ], [ "endomorphism", "endomorphism" ], [ "bundle", "bundle" ], [ "function", "function" ], [ "eigenspace", "eigenspace" ] ], "raw_glosses": [ "(mathematics) Given a section s of an endomorphism bundle Hom(E, E) and a function f: X → R, an eigenbundle is the result of taking the fiber over a point x ∈ X to be the f(x)-eigenspace of the linear map s(x): Eₓ → Eₓ." ], "topics": [ "mathematics", "sciences" ] } ], "word": "eigenbundle" }
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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 2025-01-03 from the enwiktionary dump dated 2025-01-01 using wiktextract (eaedd02 and 8fbd9e8). 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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