See zero vector on Wiktionary
{ "forms": [ { "form": "zero vectors", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "zero vector (plural zero vectors)", "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": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Danish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Greek translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Romanian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Swedish translations", "parents": [], "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" }, { "kind": "topical", "langcode": "en", "name": "Zero", "orig": "en:Zero", "parents": [ "Numbers", "All topics", "Terms by semantic function", "Fundamental" ], "source": "w" } ], "examples": [ { "text": "The zero vector of a given vector space is the space's additive identity.", "type": "example" } ], "glosses": [ "A vector 0 in a vector space V such that for any v∈V, 0+v=v; a vector whose value in every dimension is zero; i.e., ⃑0=<0,0,…,0>." ], "id": "en-zero_vector-en-noun-en:Q488630", "links": [ [ "mathematics", "mathematics" ], [ "linear algebra", "linear algebra" ], [ "vector", "vector" ], [ "vector space", "vector space" ], [ "value", "value" ], [ "dimension", "dimension" ] ], "raw_glosses": [ "(mathematics, linear algebra) A vector 0 in a vector space V such that for any v∈V, 0+v=v; a vector whose value in every dimension is zero; i.e., ⃑0=<0,0,…,0>." ], "related": [ { "word": "additive identity" }, { "word": "zero matrix" } ], "senseid": [ "en:Q488630" ], "synonyms": [ { "word": "origin" }, { "word": "null vector" } ], "topics": [ "linear-algebra", "mathematics", "sciences" ], "translations": [ { "code": "da", "lang": "Danish", "sense": "vector whose value is zero", "tags": [ "common-gender" ], "word": "nulvektor" }, { "code": "fi", "lang": "Finnish", "sense": "vector whose value is zero", "word": "nollavektori" }, { "code": "de", "lang": "German", "sense": "vector whose value is zero", "tags": [ "masculine" ], "word": "Nullvektor" }, { "code": "el", "lang": "Greek", "roman": "midenikó diánysma", "sense": "vector whose value is zero", "tags": [ "neuter" ], "word": "μηδενικό διάνυσμα" }, { "code": "ro", "lang": "Romanian", "sense": "vector whose value is zero", "tags": [ "masculine" ], "word": "vector zero" }, { "code": "ro", "lang": "Romanian", "sense": "vector whose value is zero", "tags": [ "masculine", "uncommon" ], "word": "vector nul" }, { "code": "sv", "lang": "Swedish", "sense": "vector whose value is zero", "word": "nollvektor" } ], "wikidata": [ "Q488630" ] } ], "word": "zero vector" }
{ "forms": [ { "form": "zero vectors", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "zero vector (plural zero vectors)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "additive identity" }, { "word": "zero matrix" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English terms with usage examples", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Danish translations", "Terms with Finnish translations", "Terms with German translations", "Terms with Greek translations", "Terms with Romanian translations", "Terms with Swedish translations", "en:Linear algebra", "en:Mathematics", "en:Zero" ], "examples": [ { "text": "The zero vector of a given vector space is the space's additive identity.", "type": "example" } ], "glosses": [ "A vector 0 in a vector space V such that for any v∈V, 0+v=v; a vector whose value in every dimension is zero; i.e., ⃑0=<0,0,…,0>." ], "links": [ [ "mathematics", "mathematics" ], [ "linear algebra", "linear algebra" ], [ "vector", "vector" ], [ "vector space", "vector space" ], [ "value", "value" ], [ "dimension", "dimension" ] ], "raw_glosses": [ "(mathematics, linear algebra) A vector 0 in a vector space V such that for any v∈V, 0+v=v; a vector whose value in every dimension is zero; i.e., ⃑0=<0,0,…,0>." ], "senseid": [ "en:Q488630" ], "topics": [ "linear-algebra", "mathematics", "sciences" ], "wikidata": [ "Q488630" ] } ], "synonyms": [ { "word": "origin" }, { "word": "null vector" } ], "translations": [ { "code": "da", "lang": "Danish", "sense": "vector whose value is zero", "tags": [ "common-gender" ], "word": "nulvektor" }, { "code": "fi", "lang": "Finnish", "sense": "vector whose value is zero", "word": "nollavektori" }, { "code": "de", "lang": "German", "sense": "vector whose value is zero", "tags": [ "masculine" ], "word": "Nullvektor" }, { "code": "el", "lang": "Greek", "roman": "midenikó diánysma", "sense": "vector whose value is zero", "tags": [ "neuter" ], "word": "μηδενικό διάνυσμα" }, { "code": "ro", "lang": "Romanian", "sense": "vector whose value is zero", "tags": [ "masculine" ], "word": "vector zero" }, { "code": "ro", "lang": "Romanian", "sense": "vector whose value is zero", "tags": [ "masculine", "uncommon" ], "word": "vector nul" }, { "code": "sv", "lang": "Swedish", "sense": "vector whose value is zero", "word": "nollvektor" } ], "word": "zero vector" }
Download raw JSONL data for zero vector meaning in All languages combined (2.5kB)
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.
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.