derangement
derangement (n)
English Definitions:
derangement, mental unsoundness, unbalance (noun)
a state of mental disturbance and disorientation
upset, derangement, overthrow (noun)
the act of disturbing the mind or body
"his carelessness could have caused an ecological upset"; "she was unprepared for this sudden overthrow of their normal way of living"
derangement (Noun)
The property of being deranged.
derangement (Noun)
An act or instance of deranging.
derangement (Noun)
A permutation of a set such that no element is in its previous position.
Derangement
In combinatorial mathematics, a derangement is a permutation of the elements of a set such that none of the elements appear in their original position. The numbers of derangements !n for sets of size n are called "de Montmort numbers" or "derangement numbers"; the subfactorial function maps n to !n. No standard notation for subfactorials is agreed upon, and n¡ is sometimes used instead of !n. The problem of counting derangements was first considered by Pierre Raymond de Montmort in 1708; he solved it in 1713, as did Nicholas Bernoulli at about the same time.
Derangement
In combinatorial mathematics, a derangement is a permutation of the elements of a set, such that no element appears in its original position. In other words, a derangement is a permutation that has no fixed points. The number of derangements of a set of size n is known as the subfactorial of n or the n-th derangement number or n-th de Montmort number. Notations for subfactorials in common use include !n, Dn, dn, or n¡.For n > 0, the subfactorial !n equals the nearest integer to n!/e, where n! denotes the factorial of n and e is Euler's number.The problem of counting derangements was first considered by Pierre Raymond de Montmort in 1708; he solved it in 1713, as did Nicholas Bernoulli at about the same time.
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"derangement." Kamus.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.kamus.net/english/derangement>.
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