See projective Hilbert space on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "projective", "3": "Hilbert space" }, "expansion": "projective + Hilbert space", "name": "compound" } ], "etymology_text": "From projective + Hilbert space.", "forms": [ { "form": "projective Hilbert spaces", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "head": "projective Hilbert space" }, "expansion": "projective Hilbert space (plural projective Hilbert spaces)", "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": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Manifolds", "orig": "en:Manifolds", "parents": [], "source": "w" } ], "glosses": [ "The quotient of a Hilbert space by an equivalence relation which considers a pair of vectors equivalent iff they differ only by a factor which is a complex number." ], "id": "en-projective_Hilbert_space-en-noun-k4nwXzZq", "links": [ [ "Hilbert space", "Hilbert space" ], [ "equivalence relation", "equivalence relation" ], [ "vector", "vector" ], [ "iff", "iff" ], [ "complex number", "complex number" ] ] } ], "word": "projective Hilbert space" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "projective", "3": "Hilbert space" }, "expansion": "projective + Hilbert space", "name": "compound" } ], "etymology_text": "From projective + Hilbert space.", "forms": [ { "form": "projective Hilbert spaces", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "head": "projective Hilbert space" }, "expansion": "projective Hilbert space (plural projective Hilbert spaces)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English compound terms", "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Manifolds" ], "glosses": [ "The quotient of a Hilbert space by an equivalence relation which considers a pair of vectors equivalent iff they differ only by a factor which is a complex number." ], "links": [ [ "Hilbert space", "Hilbert space" ], [ "equivalence relation", "equivalence relation" ], [ "vector", "vector" ], [ "iff", "iff" ], [ "complex number", "complex number" ] ] } ], "word": "projective Hilbert space" }
Download raw JSONL data for projective Hilbert space meaning in All languages combined (1.1kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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.