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Что (кто) такое dual number - определение
Dual number
ALGEBRA OVER A FIELD
Dual numbers; Dual Numbers; Ring of dual numbers
In algebra, the dual numbers are a hypercomplex number system first introduced in the 19th century. They are expressions of the form , where and are real numbers, and is a symbol taken to satisfy \varepsilon^2 = 0 with \varepsilon\neq 0.
Dual (grammatical number)
GRAMMATICAL NUMBER FOUND IN SOME LANGUAGES REPRESENTING TWO OF AN ENTITY
Dual grammatical number; Dual form; Dualis
Dual (abbreviated ) is a grammatical number that some languages use in addition to singular and plural. When a noun or pronoun appears in dual form, it is interpreted as referring to precisely two of the entities (objects or persons) identified by the noun or pronoun acting as a single unit or in unison.
Dual space
 = \varphi(x_1 + x_2) = \varphi(x)</math>'' for any ''<math>\varphi</math>'' in the dual space.](https://commons.wikimedia.org/wiki/Special:FilePath/Double dual nature.svg?width=200 "''x''<sub>1</sub> + ''x''<sub>2</sub>}}.
The addition +′ induced by the transformation can be defined as ''<math>[\Psi(x_1) +' \Psi(x_2)](\varphi) = \varphi(x_1 + x_2) = \varphi(x)</math>'' for any ''<math>\varphi</math>'' in the dual space.")
VECTOR SPACE OF LINEAR FUNCTIONALS (MAY CONSIST ONLY ON CONTINUOUS FUNCTIONALS OR OF ALL FUNCTIONALS)
Duality (linear algebra); Dual vector space; Algebraic dual; Continuous dual; Continuous dual space; Algebraic dual space; Norm dual; Double dual; Topological dual space; Dual (linear algebra); Annihilator (linear algebra); Dual Space
In mathematics, any vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear forms on V, together with the vector space structure of pointwise addition and scalar multiplication by constants.
