permutation$59507$ - translation to ελληνικό
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permutation$59507$ - translation to ελληνικό

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

permutation      
n. μεταλλαγή, ανταλλαγή, μετάθεση
combination lock         
  • A [[Wordlock]] letter combination lock.
  • A simple combination 
lock.
  • Exploded view of the rotating discs. The notches on the disc correspond to the numerals in the correct combination. In this case, the combination is 9-2-4.
  • When the toothed pin is inserted and the discs are rotated to an incorrect combination, the inner faces of the discs block the pin from being extracted.
  • The discs are mounted on one side of the lock, which may in turn be attached to the end of a chain or cable. The other side of the lock, or the other end of the cable, has a pin with several protruding teeth.
  • A single-dial padlock by [[Master Lock]].
  • The component parts of a Stoplock combination padlock.
TYPE OF LOCKING DEVICE IN WHICH A SEQUENCE OF SYMBOLS, USUALLY NUMBERS, IS USED TO OPEN THE LOCK
Relock trigger; Internal relocker; Combination locks; Numberlock; Permutation lock
κλειδαριά με συνδυασμό

Ορισμός

Permutation
·noun Barter; exchange.
II. Permutation ·noun Any one of such possible arrangements.
III. Permutation ·noun The act of permuting; exchange of the thing for another; mutual transference; interchange.
IV. Permutation ·noun The arrangement of any determinate number of things, as units, objects, letters, ·etc., in all possible orders, one after the other;
- called also alternation. ·cf. Combination, ·noun, 4.

Βικιπαίδεια

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.