see|Permutation
wikipedia|dab=Permutation (disambiguation)|permutation
English
Etymology
From OF. permutacion (French: #French|permutation).

Pronunciation
:Rhymes: Rhymes:English:-eɪ��n|-eɪ��n

Noun
wikipedia
en-noun

1. mathematics A one-to-one mapping from a finite set to itself.

#: This permutation takes each element to the one following it, with the last mapped back to the first.

1. mathematics An ordering of a finite set of distinct elements.

#: There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.

1. 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 rfc|music definition needs rewritten because the current one is copyrighted

Translations
trans-top|one-to-one mapping
Czech: permutace f
Finnish: permutaatio
trans-mid
Portuguese: permutação f
Swedish: #Swedish|permutation c
trans-bottom

trans-top|ordering of a set of distinct elements
Czech: permutace f
Finnish: permutaatio
trans-mid
Portuguese: permutação f
Swedish: #Swedish|permutation c
trans-bottom

trans-top|reordering of an ordered set of pitch classes
Finnish: muunnos, transponointi
trans-mid
Portuguese: permutação f
trans-bottom

checktrans
ttbc|Bulgarian: пе�м��а�и� f
ttbc|Estonian: permutatsioon
ttbc|German: Permutation f
ttbc|Latin: permutatio
ttbc|Slovak: permutácia f

See also
w:Permutation|Wikipedia article on Permutation

References
DeLone? et. al. (Eds.) (1975). Aspects of Twentieth-Century Music. Englewood Cliffs, New Jersey: Prentice-Hall. ISBN 0130493465, Ch. 6.

French
Etymology
From L.|fr permutationem (nominative: permutatio), from permutatus (past participle of permutare).

Noun
fr-noun|f
##Noun|permutation

Swedish

Noun
permutation c
sv-noun-reg-er

1. #English|permutation; one-to-one mapping of a finite set to itself
2. permutation; an ordering of a finite set of distinct elements

See also
permutera

et:permutation
fr:permutation
io:permutation
id:permutation
pl:permutation
pt:permutation
ru:permutation
sv:permutation
te:permutation
vi:permutation
tr:permutation
zh:permutation

• 2007-10-03 23:49 - Interwicket - iwiki +pt, te

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