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(c) Marian Olejar, Jr., 2005-2007
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signum
Author: Marian Olejar, Jr. Created: Dec/11/2006 Last edit: Dec/11/2006
group theory:
The signum `alpha` can be defined as `sgn(alpha) = (-1)^(n-t)` where `alpha in S_n`, `S_n` is symmetric group, `alpha = beta_1 ... beta_t` (n, t `in NN`) is a complete factorization into disjoint cycles. For every 1-cycle `beta`, sgn(`beta`)=1. See also: permutation, Cite this article as: Marian Olejar, Jr.: signum from VeryPrime's Dictionary of mathematics Link to this page: http://www.veryprime.com/dict/signum.php |