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In mathematics, an involution, involutory function, or self-inverse function [1] is a function f that is its own inverse , f(f(x)) = x. for all x in the domain of f. [2] Equivalently, applying f twice produces the original value.
The meaning of INVOLUTION is the act or an instance of enfolding or entangling : involvement. How to use involution in a sentence.
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
In integral thought, involution is the process by which the Divine manifests the cosmos. The process by which the creation rises to higher states and states of consciousness is the evolution. Involution prepares the universe for the Big Bang; evolution continues from that point forward.
noun. an act or instance of involving or entangling; involvement. the state of being involved. something complicated. Mathematics. a function that is its own inverse. Botany, Zoology. a rolling up or folding in upon itself. a part so formed. Biology. retrograde development; degeneration.
Jun 5, 2020 · An endomorphism of order two, that is, a mapping of an object onto itself whose square is the identity morphism (see also Category with involution ). A periodic mapping, that is, a morphism some non-zero power of which is the identity morphism, is also sometimes called an involution.
An involution is a function whose inverse is itself. That is, . From the perspective of set theory and functions, if a relation is a function and is symmetric, then it is an involution.
noun. 1. the act of involving or complicating or the state of being involved or complicated. 2. something involved or complicated. 3. zoology. degeneration or structural deformation. 4. biology. an involute formation or structure. 5. physiology. reduction in size of an organ or part, as of the uterus following childbirth or as a result of ageing.
Jun 5, 2020 · Examples of total involution algebras are: the involution algebra of continuous functions on a compact set; the involution algebra of bounded linear operators on a Hilbert space; and group algebras of compact and commutative locally compact groups.
Examples of how to use “involution” in a sentence from Cambridge Dictionary.
