permutation decrement - definizione. Che cos'è permutation decrement
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Cosa (chi) è permutation decrement - definizione

Random Permutation Statistics; Permutation statistic; Permutation statistics; Random permutation statistic

Cyclic permutation         
  • Matrix]] of <math>\pi</math>
TYPE OF (MATHEMATICAL) PERMUTATION WITH NO FIXED ELEMENT
Transposition (mathematics); Circular permutation; Adjacent transposition; Circular Permutation; Anticyclic permutation
In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of X. If S has k elements, the cycle is called a k-cycle.
Decrement         
WIKIMEDIA DISAMBIGUATION PAGE
Decrement (disambiguation)
When a suspension needle which has been disturbed is oscillating the swings gradually decrease in amplitude if there is any damping, as there always is. The decrement is the ratio of the amplitude of one oscillation to the succeeding one. This ratio is the same for any successive swings.
Decrement         
WIKIMEDIA DISAMBIGUATION PAGE
Decrement (disambiguation)
·noun The quantity by which a variable is diminished.
II. Decrement ·noun The state of becoming gradually less; decrease; diminution; waste; loss.
III. Decrement ·noun The quantity lost by gradual diminution or waste;
- opposed to increment.
IV. Decrement ·noun A name given by Hauy to the successive diminution of the layers of molecules, applied to the faces of the primitive form, by which he supposed the secondary forms to be produced.

Wikipedia

Random permutation statistics

The statistics of random permutations, such as the cycle structure of a random permutation are of fundamental importance in the analysis of algorithms, especially of sorting algorithms, which operate on random permutations. Suppose, for example, that we are using quickselect (a cousin of quicksort) to select a random element of a random permutation. Quickselect will perform a partial sort on the array, as it partitions the array according to the pivot. Hence a permutation will be less disordered after quickselect has been performed. The amount of disorder that remains may be analysed with generating functions. These generating functions depend in a fundamental way on the generating functions of random permutation statistics. Hence it is of vital importance to compute these generating functions.

The article on random permutations contains an introduction to random permutations.