See bilinear in All languages combined, or Wiktionary
{
"derived": [
{
"_dis1": "0 0",
"word": "bilinear form"
},
{
"_dis1": "0 0",
"word": "bilinearity"
},
{
"_dis1": "0 0",
"word": "bilinearization"
},
{
"_dis1": "0 0",
"word": "bilinearize"
},
{
"_dis1": "0 0",
"word": "bilinearly"
},
{
"_dis1": "0 0",
"word": "bilinear transformation"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "bi",
"3": "linear"
},
"expansion": "bi- + linear",
"name": "prefix"
}
],
"etymology_text": "From bi- + linear.",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "bilinear (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"_dis1": "0 0",
"word": "multilinear"
}
],
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Linear algebra",
"orig": "en:Linear algebra",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "53 39 9",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "43 34 23",
"kind": "other",
"name": "English terms prefixed with bi-",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "53 40 7",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "59 36 6",
"kind": "other",
"name": "Pages with 2 entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "63 33 4",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "61 29 9",
"kind": "other",
"name": "Terms with Czech translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "62 31 7",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "60 31 9",
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "62 30 8",
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "63 29 7",
"kind": "other",
"name": "Terms with Italian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "62 29 8",
"kind": "other",
"name": "Terms with Polish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "62 31 7",
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "63 31 7",
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"text": "The function f(x,y)#x3D;xy is bilinear, because f(ax#x2B;bu,y)#x3D;af(x,y)#x2B;bf(u,y) and f(x,ay#x2B;bv)#x3D;af(x,y)#x2B;bf(x,v) for all values.",
"type": "example"
}
],
"glosses": [
"Linear (preserving linear combinations) in each variable."
],
"id": "en-bilinear-en-adj-lyoI3-Ji",
"links": [
[
"linear algebra",
"linear algebra"
],
[
"function",
"function"
],
[
"Linear",
"linear"
],
[
"linear combination",
"linear combination"
],
[
"variable",
"variable"
]
],
"raw_glosses": [
"(linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable."
],
"raw_tags": [
"of a function in two variables"
],
"tags": [
"not-comparable"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "75 25",
"code": "cs",
"lang": "Czech",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineární"
},
{
"_dis1": "75 25",
"code": "fi",
"lang": "Finnish",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineaarinen"
},
{
"_dis1": "75 25",
"code": "fr",
"lang": "French",
"sense": "(mathematics) linear in each of two variables",
"word": "bilinéaire"
},
{
"_dis1": "75 25",
"code": "de",
"lang": "German",
"sense": "(mathematics) linear in each of two variables",
"word": "bilinear"
},
{
"_dis1": "75 25",
"code": "it",
"lang": "Italian",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineare"
},
{
"_dis1": "75 25",
"code": "pl",
"lang": "Polish",
"sense": "(mathematics) linear in each of two variables",
"word": "dwuliniowy"
},
{
"_dis1": "75 25",
"code": "ru",
"lang": "Russian",
"roman": "bilinéjnyj",
"sense": "(mathematics) linear in each of two variables",
"word": "билине́йный"
},
{
"_dis1": "75 25",
"code": "es",
"lang": "Spanish",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineal"
}
]
},
{
"categories": [
{
"kind": "other",
"name": "English terms with collocations",
"parents": [
"Terms with collocations",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Complex analysis",
"orig": "en:Complex analysis",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Engineering",
"orig": "en:Engineering",
"parents": [
"Applied sciences",
"Technology",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Physics",
"orig": "en:Physics",
"parents": [
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"examples": [
{
"text": "bilinear isotropic hardening",
"type": "example"
}
],
"glosses": [
"Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions)."
],
"id": "en-bilinear-en-adj-yEgzlDyC",
"links": [
[
"complex analysis",
"complex analysis"
],
[
"physics",
"physics"
],
[
"engineering",
"engineering#Noun"
],
[
"Möbius transformation",
"Möbius transformation"
],
[
"conformal",
"conformal"
],
[
"ratio",
"ratio"
]
],
"raw_glosses": [
"(complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions)."
],
"tags": [
"not-comparable"
],
"topics": [
"complex-analysis",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"physics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/baɪˈlɪn.i.ə/",
"tags": [
"UK"
]
},
{
"ipa": "/baɪˈlɪn.i.ɚ/",
"tags": [
"Canada",
"US"
]
},
{
"ipa": "/bɑɪˈlɪn.i.ə/",
"tags": [
"General-Australian"
]
}
],
"wikipedia": [
"bilinear"
],
"word": "bilinear"
}
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "bi",
"3": "linear"
},
"expansion": "bi- + linear",
"name": "prefix"
}
],
"etymology_text": "From bi- + linear.",
"forms": [
{
"form": "bilinears",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "bilinear (plural bilinears)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Linear algebra",
"orig": "en:Linear algebra",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A bilinear function."
],
"id": "en-bilinear-en-noun-w1nJKBYb",
"links": [
[
"linear algebra",
"linear algebra"
],
[
"function",
"function"
]
],
"raw_glosses": [
"(linear algebra) A bilinear function."
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/baɪˈlɪn.i.ə/",
"tags": [
"UK"
]
},
{
"ipa": "/baɪˈlɪn.i.ɚ/",
"tags": [
"Canada",
"US"
]
},
{
"ipa": "/bɑɪˈlɪn.i.ə/",
"tags": [
"General-Australian"
]
}
],
"wikipedia": [
"bilinear"
],
"word": "bilinear"
}
{
"categories": [
"English adjectives",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms prefixed with bi-",
"English uncomparable adjectives",
"Entries with translation boxes",
"Pages with 2 entries",
"Pages with entries",
"Terms with Czech translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with German translations",
"Terms with Italian translations",
"Terms with Polish translations",
"Terms with Russian translations",
"Terms with Spanish translations"
],
"derived": [
{
"word": "bilinear form"
},
{
"word": "bilinearity"
},
{
"word": "bilinearization"
},
{
"word": "bilinearize"
},
{
"word": "bilinearly"
},
{
"word": "bilinear transformation"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "bi",
"3": "linear"
},
"expansion": "bi- + linear",
"name": "prefix"
}
],
"etymology_text": "From bi- + linear.",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "bilinear (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"word": "multilinear"
}
],
"senses": [
{
"categories": [
"English terms with usage examples",
"en:Linear algebra"
],
"examples": [
{
"text": "The function f(x,y)#x3D;xy is bilinear, because f(ax#x2B;bu,y)#x3D;af(x,y)#x2B;bf(u,y) and f(x,ay#x2B;bv)#x3D;af(x,y)#x2B;bf(x,v) for all values.",
"type": "example"
}
],
"glosses": [
"Linear (preserving linear combinations) in each variable."
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"function",
"function"
],
[
"Linear",
"linear"
],
[
"linear combination",
"linear combination"
],
[
"variable",
"variable"
]
],
"raw_glosses": [
"(linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable."
],
"raw_tags": [
"of a function in two variables"
],
"tags": [
"not-comparable"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
"English terms with collocations",
"en:Complex analysis",
"en:Engineering",
"en:Physics"
],
"examples": [
{
"text": "bilinear isotropic hardening",
"type": "example"
}
],
"glosses": [
"Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions)."
],
"links": [
[
"complex analysis",
"complex analysis"
],
[
"physics",
"physics"
],
[
"engineering",
"engineering#Noun"
],
[
"Möbius transformation",
"Möbius transformation"
],
[
"conformal",
"conformal"
],
[
"ratio",
"ratio"
]
],
"raw_glosses": [
"(complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions)."
],
"tags": [
"not-comparable"
],
"topics": [
"complex-analysis",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"physics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/baɪˈlɪn.i.ə/",
"tags": [
"UK"
]
},
{
"ipa": "/baɪˈlɪn.i.ɚ/",
"tags": [
"Canada",
"US"
]
},
{
"ipa": "/bɑɪˈlɪn.i.ə/",
"tags": [
"General-Australian"
]
}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineární"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineaarinen"
},
{
"code": "fr",
"lang": "French",
"sense": "(mathematics) linear in each of two variables",
"word": "bilinéaire"
},
{
"code": "de",
"lang": "German",
"sense": "(mathematics) linear in each of two variables",
"word": "bilinear"
},
{
"code": "it",
"lang": "Italian",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineare"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(mathematics) linear in each of two variables",
"word": "dwuliniowy"
},
{
"code": "ru",
"lang": "Russian",
"roman": "bilinéjnyj",
"sense": "(mathematics) linear in each of two variables",
"word": "билине́йный"
},
{
"code": "es",
"lang": "Spanish",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineal"
}
],
"wikipedia": [
"bilinear"
],
"word": "bilinear"
}
{
"categories": [
"English adjectives",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms prefixed with bi-",
"English uncomparable adjectives",
"Entries with translation boxes",
"Pages with 2 entries",
"Pages with entries",
"Terms with Czech translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with German translations",
"Terms with Italian translations",
"Terms with Polish translations",
"Terms with Russian translations",
"Terms with Spanish translations"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "bi",
"3": "linear"
},
"expansion": "bi- + linear",
"name": "prefix"
}
],
"etymology_text": "From bi- + linear.",
"forms": [
{
"form": "bilinears",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "bilinear (plural bilinears)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Linear algebra"
],
"glosses": [
"A bilinear function."
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"function",
"function"
]
],
"raw_glosses": [
"(linear algebra) A bilinear function."
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/baɪˈlɪn.i.ə/",
"tags": [
"UK"
]
},
{
"ipa": "/baɪˈlɪn.i.ɚ/",
"tags": [
"Canada",
"US"
]
},
{
"ipa": "/bɑɪˈlɪn.i.ə/",
"tags": [
"General-Australian"
]
}
],
"wikipedia": [
"bilinear"
],
"word": "bilinear"
}
Download raw JSONL data for bilinear meaning in English (5.3kB)
This page is a part of the kaikki.org machine-readable English 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.