See antimorphism on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "anti", "3": "morphism" }, "expansion": "anti- + morphism", "name": "prefix" } ], "etymology_text": "From anti- + morphism.", "forms": [ { "form": "antimorphisms", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "antimorphism (plural antimorphisms)", "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 anti-", "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": [ { "ref": "1960, Indian Mathematical Society, Journal: New series, volume 24, page 602:", "text": "The transform u^λ of an element u of A by an automorphism or antimorphism of A has the same spectrum Sᵤ and the same minimal polynomial as u, and is semisimple if u is so.", "type": "quote" }, { "ref": "2007, Michael Winter, Goguen Categories: A Categorical Approach to L-fuzzy Relations, page 26:", "text": "The meet of a set of antimorphisms is again an antimorphism.", "type": "quote" } ], "glosses": [ "An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order." ], "id": "en-antimorphism-en-noun--1r3UJko", "links": [ [ "mathematics", "mathematics" ], [ "isomorphism", "isomorphism" ], [ "mathematical", "mathematical" ], [ "object", "object" ], [ "system", "system" ], [ "image", "image" ], [ "product", "product" ], [ "value", "value" ] ], "raw_glosses": [ "(mathematics) An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order." ], "topics": [ "mathematics", "sciences" ] } ], "word": "antimorphism" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "anti", "3": "morphism" }, "expansion": "anti- + morphism", "name": "prefix" } ], "etymology_text": "From anti- + morphism.", "forms": [ { "form": "antimorphisms", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "antimorphism (plural antimorphisms)", "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 terms prefixed with anti-", "English terms with quotations", "Pages with 1 entry", "Pages with entries", "Quotation templates to be cleaned", "en:Mathematics" ], "examples": [ { "ref": "1960, Indian Mathematical Society, Journal: New series, volume 24, page 602:", "text": "The transform u^λ of an element u of A by an automorphism or antimorphism of A has the same spectrum Sᵤ and the same minimal polynomial as u, and is semisimple if u is so.", "type": "quote" }, { "ref": "2007, Michael Winter, Goguen Categories: A Categorical Approach to L-fuzzy Relations, page 26:", "text": "The meet of a set of antimorphisms is again an antimorphism.", "type": "quote" } ], "glosses": [ "An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order." ], "links": [ [ "mathematics", "mathematics" ], [ "isomorphism", "isomorphism" ], [ "mathematical", "mathematical" ], [ "object", "object" ], [ "system", "system" ], [ "image", "image" ], [ "product", "product" ], [ "value", "value" ] ], "raw_glosses": [ "(mathematics) An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order." ], "topics": [ "mathematics", "sciences" ] } ], "word": "antimorphism" }
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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 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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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