See linear transformation on Wiktionary
{ "forms": [ { "form": "linear transformations", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "linear transformation (plural linear transformations)", "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": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Greek terms with redundant script codes", "parents": [ "Terms with redundant script codes", "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", "name": "Terms with Afrikaans translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Estonian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Greek translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Hungarian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Russian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Spanish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Thai translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Functions", "orig": "en:Functions", "parents": [ "Algebra", "Calculus", "Geometry", "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Linear algebra", "orig": "en:Linear algebra", "parents": [ "Algebra", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A map between vector spaces which preserves the operations of vector addition and scalar multiplication." ], "hypernyms": [ { "word": "affine transformation" }, { "word": "morphism" } ], "id": "en-linear_transformation-en-noun-YmNJXI5t", "links": [ [ "linear algebra", "linear algebra" ], [ "vector space", "vector space" ] ], "raw_glosses": [ "(linear algebra) A map between vector spaces which preserves the operations of vector addition and scalar multiplication." ], "related": [ { "word": "bilinear" }, { "word": "linear operator" }, { "word": "sesquilinear" } ], "synonyms": [ { "word": "linear map" } ], "topics": [ "linear-algebra", "mathematics", "sciences" ], "translations": [ { "code": "af", "lang": "Afrikaans", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "lineêre transformasie" }, { "code": "et", "lang": "Estonian", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "lineaarteisendamine" }, { "code": "fi", "lang": "Finnish", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "lineaarikuvaus" }, { "code": "fr", "lang": "French", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "feminine" ], "word": "application linéaire" }, { "code": "el", "lang": "Greek", "roman": "grammikós metaschimatismós", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "masculine" ], "word": "γραμμικός μετασχηματισμός" }, { "code": "hu", "lang": "Hungarian", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "lineáris transzformáció" }, { "code": "is", "lang": "Icelandic", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "feminine" ], "word": "línuleg vörpun" }, { "code": "ru", "lang": "Russian", "roman": "linéjnoje preobrazovánije", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "neuter" ], "word": "лине́йное преобразова́ние" }, { "code": "es", "lang": "Spanish", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "feminine" ], "word": "transformación lineal" }, { "code": "sv", "lang": "Swedish", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "common-gender" ], "word": "linjär transformation" }, { "code": "sv", "lang": "Swedish", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "common-gender" ], "word": "linjär avbildning" }, { "code": "th", "lang": "Thai", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "การแปลงเชิงเส้น" } ] } ], "word": "linear transformation" }
{ "forms": [ { "form": "linear transformations", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "linear transformation (plural linear transformations)", "name": "en-noun" } ], "hypernyms": [ { "word": "affine transformation" }, { "word": "morphism" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "bilinear" }, { "word": "linear operator" }, { "word": "sesquilinear" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "Entries with translation boxes", "Greek terms with redundant script codes", "Pages with 1 entry", "Pages with entries", "Terms with Afrikaans translations", "Terms with Estonian translations", "Terms with Finnish translations", "Terms with French translations", "Terms with Greek translations", "Terms with Hungarian translations", "Terms with Icelandic translations", "Terms with Russian translations", "Terms with Spanish translations", "Terms with Swedish translations", "Terms with Thai translations", "en:Algebra", "en:Functions", "en:Linear algebra", "en:Mathematics" ], "glosses": [ "A map between vector spaces which preserves the operations of vector addition and scalar multiplication." ], "links": [ [ "linear algebra", "linear algebra" ], [ "vector space", "vector space" ] ], "raw_glosses": [ "(linear algebra) A map between vector spaces which preserves the operations of vector addition and scalar multiplication." ], "synonyms": [ { "word": "linear map" } ], "topics": [ "linear-algebra", "mathematics", "sciences" ] } ], "translations": [ { "code": "af", "lang": "Afrikaans", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "lineêre transformasie" }, { "code": "et", "lang": "Estonian", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "lineaarteisendamine" }, { "code": "fi", "lang": "Finnish", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "lineaarikuvaus" }, { "code": "fr", "lang": "French", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "feminine" ], "word": "application linéaire" }, { "code": "el", "lang": "Greek", "roman": "grammikós metaschimatismós", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "masculine" ], "word": "γραμμικός μετασχηματισμός" }, { "code": "hu", "lang": "Hungarian", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "lineáris transzformáció" }, { "code": "is", "lang": "Icelandic", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "feminine" ], "word": "línuleg vörpun" }, { "code": "ru", "lang": "Russian", "roman": "linéjnoje preobrazovánije", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "neuter" ], "word": "лине́йное преобразова́ние" }, { "code": "es", "lang": "Spanish", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "feminine" ], "word": "transformación lineal" }, { "code": "sv", "lang": "Swedish", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "common-gender" ], "word": "linjär transformation" }, { "code": "sv", "lang": "Swedish", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "tags": [ "common-gender" ], "word": "linjär avbildning" }, { "code": "th", "lang": "Thai", "sense": "a map between vector spaces preserving vector addition and scalar multiplication", "word": "การแปลงเชิงเส้น" } ], "word": "linear transformation" }
Download raw JSONL data for linear transformation meaning in All languages combined (3.8kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.