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Involution
Involution may refer to: * Involute, a construction in the differential geometry of curves * '' Agricultural Involution: The Processes of Ecological Change in Indonesia'', a 1963 study of intensification of production through increased labour inputs * Involution (mathematics) In mathematics, an involution, involutory function, or self-inverse function is a function that is its own inverse, : for all in the domain of . Equivalently, applying twice produces the original value. General properties Any involution i ..., a function that is its own inverse * Involution (medicine), the shrinking of an organ (such as the uterus after pregnancy) * Involution (esoterism), several notions of a counterpart to evolution * Involution (Meher Baba), the inner path of the human soul to the self * Involution algebra, a *-algebra: an algebra equipped with an involution * ''Involution'' (album), a 1998 album by multi-instrumentalist Michael Marcus, with the Jaki Byard trio * ''Involutio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Involution (mathematics)
In mathematics, an involution, involutory function, or self-inverse function is a function that is its own inverse, : for all in the domain of . Equivalently, applying twice produces the original value. General properties Any involution is a bijection. The identity map is a trivial example of an involution. Examples of nontrivial involutions include negation (x \mapsto -x), reciprocation (x \mapsto 1/x), and complex conjugation (z \mapsto \bar z) in arithmetic; reflection, half-turn rotation, and circle inversion in geometry; complementation in set theory Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concern ...; and reciprocal ciphers such as the ROT13 transformation and the Beaufort cipher, Beaufort polyalphabetic cipher. The Function composition, composition of two invol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |