- linear involution
- мат.линейная инволюция
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Involution — ist allgemein die Anordnung der Punkte einer Punktreihe (der Strahlen, Ebenen, Kurven u.s.w. eines Büschels) in Systeme von je n Punkten derart, daß jeder Punkt nur zu einem System gehört. Die Punktinvolutionen werden auf Geraden durch Kurven… … Lexikon der gesamten Technik
Involution (mathematics) — In mathematics, an involution, or an involutary function, is a function that is its own inverse, so that: f ( f ( x )) = x for all x in the domain of f . General propertiesAny involution is a bijection.The identity map is a trivial example of an… … Wikipedia
Affine involution — In Euclidean geometry, of special interest are involutions which are linear or affine transformations over the Euclidean space R n . Such involutions are easy to characterize and they can be described geometrically.Linear involutionsTo give a… … Wikipedia
Reflection (linear algebra) — In linear algebra, a reflection is a linear transformation that squares to the identity ( R 2 = I , where R is in K dimensional space), also known as an involution in the general linear group. In addition to reflections across hyperplanes, the… … Wikipedia
Commutation theorem — In mathematics, a commutation theorem explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the presence of a trace. The first such result was proved by F.J. Murray and John von Neumann in the 1930s… … Wikipedia
Classification of finite simple groups — Group theory Group theory … Wikipedia
Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… … Wikipedia
C*-algebra — C* algebras (pronounced C star ) are an important area of research in functional analysis, a branch of mathematics. The prototypical example of a C* algebra is a complex algebra A of linear operators on a complex Hilbert space with two additional … Wikipedia
*-algebra — * ring= In mathematics, a * ring is an associative ring with a map * : A rarr; A which is an antiautomorphism, and an involution.More precisely, * is required to satisfy the following properties: * (x + y)^* = x^* + y^* * (x y)^* = y^* x^* * 1^* … Wikipedia
Triple system — In algebra, a triple system is a vector space V over a field F together with a F trilinear map: (cdot,cdot,cdot) colon V imes V imes V o V.The most important examples are Lie triple systems and Jordan triple systems. They were introduced by… … Wikipedia
Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… … Wikipedia