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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.
Look up involution in Wiktionary, the free dictionary. 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.
The meaning of INVOLUTION is the act or an instance of enfolding or entangling : involvement. How to use involution in a sentence.
Then $f$ is an involution. Any subdivision determines an involution, and conversely every involution determines a subdivision. It follows that there are $2^\mathfrak{c}$ involutions, "just as many," from the point of view of cardinality, as the number of functions from $\mathbb{R}$ to $\mathbb{R}$.
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.
Jun 7, 2018 · An involution is a map which is it's own inverse. For example consider the complex number with the complex conjugation as involution: It's easy to check that complex conjugation satisfies the properties of involution.
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.
Dec 4, 2020 · Involution as a social concept was introduced by anthropologists to describe a process of inward overelaboration in agricultural development, where population growth did not result in growth in productivity or a more advanced economic model.
May 14, 2021 · The Chinese term for involution, neijuan, which is made up of the characters for “inside” and “rolling,” suggests a process that curls inward, ensnaring its participants within what the...
Jul 1, 2024 · Involution. An operator of period 2, i.e., an operator which satisfies . See also. Group Involution, Permutation Involution. Explore with Wolfram|Alpha. More things to try: 100011010 base 2. fewer than 4 2's with eight 4-sided dice. mu (30) Cite this as: Weisstein, Eric W. "Involution."
