See prehomogeneous in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "pre", "3": "homogeneous" }, "expansion": "pre- + homogeneous", "name": "prefix" } ], "etymology_text": "From pre- + homogeneous.", "head_templates": [ { "args": { "1": "-" }, "expansion": "prehomogeneous (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "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 pre-", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "bold_text_offsets": [ [ 128, 142 ] ], "ref": "2015, Wen-Wei Li, “Zeta integrals, Schwartz spaces and local functional equations”, in arXiv:", "text": "To justify this viewpoint, we prove the convergence of p-adic local zeta integrals under certain premises, work out the case of prehomogeneous vector spaces and re-derive a large portion of Godement-Jacquet theory.", "type": "quote" } ], "glosses": [ "Having an automorphism group with an open orbit." ], "id": "en-prehomogeneous-en-adj-oWr7pxgq", "links": [ [ "mathematics", "mathematics" ], [ "automorphism group", "automorphism group" ], [ "orbit", "orbit" ] ], "raw_glosses": [ "(mathematics) Having an automorphism group with an open orbit." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "en:prehomogeneous vector space" ] } ], "word": "prehomogeneous" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "pre", "3": "homogeneous" }, "expansion": "pre- + homogeneous", "name": "prefix" } ], "etymology_text": "From pre- + homogeneous.", "head_templates": [ { "args": { "1": "-" }, "expansion": "prehomogeneous (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "English adjectives", "English entries with incorrect language header", "English lemmas", "English terms prefixed with pre-", "English terms with quotations", "English uncomparable adjectives", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "bold_text_offsets": [ [ 128, 142 ] ], "ref": "2015, Wen-Wei Li, “Zeta integrals, Schwartz spaces and local functional equations”, in arXiv:", "text": "To justify this viewpoint, we prove the convergence of p-adic local zeta integrals under certain premises, work out the case of prehomogeneous vector spaces and re-derive a large portion of Godement-Jacquet theory.", "type": "quote" } ], "glosses": [ "Having an automorphism group with an open orbit." ], "links": [ [ "mathematics", "mathematics" ], [ "automorphism group", "automorphism group" ], [ "orbit", "orbit" ] ], "raw_glosses": [ "(mathematics) Having an automorphism group with an open orbit." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "en:prehomogeneous vector space" ] } ], "word": "prehomogeneous" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-10 from the enwiktionary dump dated 2025-04-03 using wiktextract (74c5344 and fb63907). 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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