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Qué (quién) es DERANGEMENT - definición

PERMUTATION OF A SET WHICH LEAVES NO MEMBER IN ITS ORIGINAL PLACE

Subfactorial; Hat-check problem; Derangements; Sub-factorial

$<math>\int_0^\infty(t-1)^ze^{-t}dt</math> in the complex plane$

Derangement

·noun The act of deranging or putting out of order, or the state of being deranged; disarrangement; disorder; confusion; especially, mental disorder; insanity.

derangement

n.

1.

Disorder, confusion, disarrangement.

2.

Disturbance, discomposure.

3.

Insanity, lunacy, madness, mania, dehrium, mental aberration, mental alienation, alienation.

derangement

Derangement is the state of being mentally ill and unable to think or act in a controlled way. (OLD-FASHIONED)

N-UNCOUNT

Wikipedia

Derangement

In combinatorial mathematics, a derangement is a permutation of the elements of a set in which 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 (after Pierre Remond de Montmort). Notations for subfactorials in common use include !n, D_n, d_n, 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 his Essay d'analyse sur les jeux de hazard. in 1708; he solved it in 1713, as did Nicholas Bernoulli at about the same time.

https://en.wikipedia.org/wiki/Derangement

Ejemplos de uso de DERANGEMENT

1. Genius has deranged them, and yet without derangement there is no genius.

2. It‘s official: Bush Derangement Syndrome is now a full–blown epidemic.

3. While on the throne, George had five episodes of prolonged and profound mental derangement.

4. "Relatively small degrees of homeostatic derangement, fatigue, pain, sleep loss, or anxiety" are generally sufficient.

5. In the book, she refers to the early stage of grief as a kind of derangement.