Definition of Permotation
Per`mu*ta"tion (?), n. [L.
permutatio: cf. F. permutation. See Permute.]
1. The act of permuting; exchange of the thing
for another; mutual transference; interchange.
The violent convulsions and permutations that
have been made in property. Burke.
2. (Math.) (a) 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,
n., 4. (b) Any one of
such possible arrangements.
3. (Law) Barter; exchange.
Permutation lock, a lock in which the parts
can be transposed or shifted, so as to require different arrangements
of the tumblers on different occasions of unlocking.
- Webster's Unabridged Dictionary (1913)
- (mathematics) A one-to-one mapping from a set to itself.
This permutation takes each element to the one following it, with the last mapped back to the first.
- (mathematics) An ordering of a set of distinct elements.
There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
- (Music:) Any reordering of an ordered set of pitch classes (DeLone et. al. (Eds.), 1975, chap. 6), often the transposition, inversion, retrograde, or retrograde-inversion
German
- permutation
- The Nuttall Encyclopedia
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