e/Sesquilinear form

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has glosseng: In mathematics, a sesquilinear form on a complex vector space V is a map V × V → C that is linear in one argument and antilinear in the other. The name originates from the numerical prefix sesqui- meaning "one and a half". Compare with a bilinear form, which is linear in both arguments; although many authors, especially when working solely in a complex setting, refer to sesquilinear forms as bilinear forms.
lexicalizationeng: sesquilinear form
instance ofc/Bilinear forms
Meaning
German
has glossdeu: Als Sesquilinearform (lat. sesqui = anderthalb) bezeichnet man in der linearen Algebra eine Funktion, die zwei Vektoren einen Skalarwert zuordnet, und die linear in einem, semilinear im anderen ihrer beiden Argumente ist.
lexicalizationdeu: Sesquilinearform
Esperanto
has glossepo: En matematiko, seskvilineara formo sur kompleksa vektora spaco V estas mapo V × V → C kiu estas lineara je unu argumento kaj konjuglineara je la alia. La nomo devenas de la latina "sesqui-" kies signifo estas "unu kaj duono".
lexicalizationepo: seskvilineara formo
French
has glossfra: En algèbre, une forme sesquilinéaire sur un espace vectoriel complexe E est une application de E × E dans \mathbb C, linéaire selon lune des variables et semi-linéaire par rapport à lautre variable. Elle possède donc une propriété de « un-et-demi » linéarité (cf. sesqui). Cest léquivalent complexe aux formes bilinéaires réelles.
lexicalizationfra: Forme sesquilineaire
lexicalizationfra: Forme Sesquilinéaire
Italian
has glossita: In matematica una forma sesquilineare sopra uno spazio vettoriale complesso V è una funzione V × V → C che è antilineare nel primo argomento e lineare nel secondo. Il nome trae origine dal prefisso sesqui che significa "uno e mezzo", in sintonia con il termine forma bilineare, funzione con due argomenti che è lineare in entrambi.
lexicalizationita: forma sesquilineare
Dutch
has glossnld: Sesquilineariteit is een eigenschap die de wiskunde toekent aan sommige afbeeldingen.
lexicalizationnld: sesquilineair
Portuguese
has glosspor: Em álgebra linear, dado um espaço vetorial complexo V, uma forma sesquilinear em V é, em certo sentido, a generalização de um produto interno.
lexicalizationpor: forma sesquilinear
Ukrainian
has glossukr: Ермітів скалярний добуток (додатньо-визначена ермітова форма) — комплексний аналог скалярного добутка.
lexicalizationukr: Ермітів скалярний добуток
Chinese
has glosszho: 在数学中,在复数向量空间 V 上的半双线性形式是映射 V × V → C,它在一个参数上是线性的而在另一个参数上是反线性(半线性)的。比较于双线性形式,它在两个参数上都是线性的;要注意很多作者尤其是在只处理复数情况的时候,把半双线性形式称为双线性形式。
lexicalizationzho: 半双线性形式

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