See bilinear on Wiktionary
Download JSON data for bilinear meaning in All languages combined (13.7kB)
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{
"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.",
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{
"_dis1": "76 24",
"code": "cs",
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"sense": "(mathematics) linear in each of two variables",
"word": "bilineární"
},
{
"_dis1": "76 24",
"code": "fi",
"lang": "Finnish",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineaarinen"
},
{
"_dis1": "76 24",
"code": "fr",
"lang": "French",
"sense": "(mathematics) linear in each of two variables",
"word": "bilinéaire"
},
{
"_dis1": "76 24",
"code": "de",
"lang": "German",
"sense": "(mathematics) linear in each of two variables",
"word": "bilinear"
},
{
"_dis1": "76 24",
"code": "it",
"lang": "Italian",
"sense": "(mathematics) linear in each of two variables",
"word": "bilineare"
},
{
"_dis1": "76 24",
"code": "pl",
"lang": "Polish",
"sense": "(mathematics) linear in each of two variables",
"word": "dwuliniowy"
},
{
"_dis1": "76 24",
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"roman": "bilinéjnyj",
"sense": "(mathematics) linear in each of two variables",
"word": "билине́йный"
},
{
"_dis1": "76 24",
"code": "es",
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"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.",
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],
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[
"complex analysis",
"complex analysis"
],
[
"physics",
"physics"
],
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"engineering",
"engineering#Noun"
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[
"Möbius transformation",
"Möbius transformation"
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[
"conformal",
"conformal"
],
[
"ratio",
"ratio"
]
],
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"(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"
],
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"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"
}
],
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"bilinear"
],
"word": "bilinear"
}
{
"categories": [
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"English adjectives",
"English countable nouns",
"English entries with incorrect language header",
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{
"categories": [
"en:Linear algebra"
],
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"A bilinear function."
],
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[
"linear algebra",
"linear algebra"
],
[
"function",
"function"
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"(linear algebra) A bilinear function."
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"linear-algebra",
"mathematics",
"sciences"
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}
],
"sounds": [
{
"ipa": "/baɪˈlɪn.i.ə/",
"tags": [
"UK"
]
},
{
"ipa": "/baɪˈlɪn.i.ɚ/",
"tags": [
"Canada",
"US"
]
},
{
"ipa": "/bɑɪˈlɪn.i.ə/",
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"General-Australian"
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}
],
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"bilinear"
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{
"form": "bilinearer",
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"masculine",
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"strong"
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},
{
"form": "no-table-tags",
"source": "declension",
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"table-tags"
]
},
{
"form": "de-adecl",
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"inflection-template"
]
},
{
"form": "bilinear",
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"masculine",
"predicative",
"singular"
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},
{
"form": "bilinear",
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"feminine",
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{
"form": "bilinear",
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},
{
"form": "bilinear",
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{
"form": "bilinearer",
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{
"form": "bilineare",
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{
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},
{
"form": "bilineare",
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},
{
"form": "bilinearen",
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},
{
"form": "bilinearer",
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},
{
"form": "bilinearen",
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},
{
"form": "bilinearer",
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},
{
"form": "bilinearem",
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"dative",
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"strong",
"without-article"
]
},
{
"form": "bilinearer",
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"dative",
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"singular",
"strong",
"without-article"
]
},
{
"form": "bilinearem",
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"dative",
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"without-article"
]
},
{
"form": "bilinearen",
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"dative",
"plural",
"strong",
"without-article"
]
},
{
"form": "bilinearen",
"source": "declension",
"tags": [
"accusative",
"masculine",
"singular",
"strong",
"without-article"
]
},
{
"form": "bilineare",
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"tags": [
"accusative",
"feminine",
"singular",
"strong",
"without-article"
]
},
{
"form": "bilineares",
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"accusative",
"neuter",
"singular",
"strong",
"without-article"
]
},
{
"form": "bilineare",
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"tags": [
"accusative",
"plural",
"strong",
"without-article"
]
},
{
"form": "der bilineare",
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"tags": [
"definite",
"includes-article",
"masculine",
"nominative",
"singular",
"weak"
]
},
{
"form": "die bilineare",
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"tags": [
"definite",
"feminine",
"includes-article",
"nominative",
"singular",
"weak"
]
},
{
"form": "das bilineare",
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"tags": [
"definite",
"includes-article",
"neuter",
"nominative",
"singular",
"weak"
]
},
{
"form": "die bilinearen",
"source": "declension",
"tags": [
"definite",
"includes-article",
"nominative",
"plural",
"weak"
]
},
{
"form": "des bilinearen",
"source": "declension",
"tags": [
"definite",
"genitive",
"includes-article",
"masculine",
"singular",
"weak"
]
},
{
"form": "der bilinearen",
"source": "declension",
"tags": [
"definite",
"feminine",
"genitive",
"includes-article",
"singular",
"weak"
]
},
{
"form": "des bilinearen",
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"definite",
"genitive",
"includes-article",
"neuter",
"singular",
"weak"
]
},
{
"form": "der bilinearen",
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"tags": [
"definite",
"genitive",
"includes-article",
"plural",
"weak"
]
},
{
"form": "dem bilinearen",
"source": "declension",
"tags": [
"dative",
"definite",
"includes-article",
"masculine",
"singular",
"weak"
]
},
{
"form": "der bilinearen",
"source": "declension",
"tags": [
"dative",
"definite",
"feminine",
"includes-article",
"singular",
"weak"
]
},
{
"form": "dem bilinearen",
"source": "declension",
"tags": [
"dative",
"definite",
"includes-article",
"neuter",
"singular",
"weak"
]
},
{
"form": "den bilinearen",
"source": "declension",
"tags": [
"dative",
"definite",
"includes-article",
"plural",
"weak"
]
},
{
"form": "den bilinearen",
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"tags": [
"accusative",
"definite",
"includes-article",
"masculine",
"singular",
"weak"
]
},
{
"form": "die bilineare",
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"tags": [
"accusative",
"definite",
"feminine",
"includes-article",
"singular",
"weak"
]
},
{
"form": "das bilineare",
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"tags": [
"accusative",
"definite",
"includes-article",
"neuter",
"singular",
"weak"
]
},
{
"form": "die bilinearen",
"source": "declension",
"tags": [
"accusative",
"definite",
"includes-article",
"plural",
"weak"
]
},
{
"form": "ein bilinearer",
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"tags": [
"includes-article",
"indefinite",
"masculine",
"mixed",
"nominative",
"singular"
]
},
{
"form": "eine bilineare",
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"tags": [
"feminine",
"includes-article",
"indefinite",
"mixed",
"nominative",
"singular"
]
},
{
"form": "ein bilineares",
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"tags": [
"includes-article",
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"singular"
]
},
{
"form": "bilinearen",
"source": "declension",
"tags": [
"indefinite",
"mixed",
"nominative",
"plural"
]
},
{
"form": "keine bilinearen",
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"tags": [
"includes-article",
"indefinite",
"mixed",
"negative",
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"plural"
]
},
{
"form": "eines bilinearen",
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},
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"mixed",
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]
},
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"singular"
]
},
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"form": "bilinearen",
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"plural"
]
},
{
"form": "keiner bilinearen",
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"genitive",
"includes-article",
"indefinite",
"mixed",
"negative",
"plural"
]
},
{
"form": "einem bilinearen",
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"dative",
"includes-article",
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"masculine",
"mixed",
"singular"
]
},
{
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"tags": [
"dative",
"feminine",
"includes-article",
"indefinite",
"mixed",
"singular"
]
},
{
"form": "einem bilinearen",
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"singular"
]
},
{
"form": "bilinearen",
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]
},
{
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"includes-article",
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"plural"
]
},
{
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]
},
{
"form": "eine bilineare",
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"indefinite",
"mixed",
"singular"
]
},
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"form": "ein bilineares",
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]
},
{
"form": "bilinearen",
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"tags": [
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"indefinite",
"mixed",
"plural"
]
},
{
"form": "keine bilinearen",
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"includes-article",
"indefinite",
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}
],
"head_templates": [
{
"args": {},
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],
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],
"lang": "German",
"lang_code": "de",
"pos": "adj",
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"word": "linear"
},
{
"word": "multilinear"
}
],
"senses": [
{
"categories": [
"German 4-syllable words",
"German adjectives",
"German entries with incorrect language header",
"German lemmas",
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"German terms with IPA pronunciation",
"German uncomparable adjectives"
],
"glosses": [
"bilinear"
],
"links": [
[
"bilinear",
"#English"
]
],
"tags": [
"not-comparable"
]
}
],
"sounds": [
{
"ipa": "/bilineˈaːɐ̯/"
}
],
"word": "bilinear"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.