In discrete mathematics, dominance order (synonyms: dominance ordering, majorization order, natural ordering) is a partial order on the set of partitions of a positive integer n that plays an important role in algebraic combinatorics and representation theory, especially in the context of symmetric functions and representation theory of the symmetric group.
Read more about Dominance Order: Definition, Properties of The Dominance Ordering, Lattice Structure, Generalizations
Famous quotes containing the words dominance and/or order:
“It is better for a woman to compete impersonally in society, as men do, than to compete for dominance in her own home with her husband, compete with her neighbors for empty status, and so smother her son that he cannot compete at all.”
—Betty Friedan (b. 1921)
“Knowing what [Christ] knew , knowing all about mankind—ah! who would have thought that the crime is not so much to make others die, but to die oneself—confronted day and night with his innocent crime, it became too difficult to go on. It was better to get it over with, to not defend himself, to die, in order not to be the only one to have survived, and to go elsewhere, where, perhaps, he would be supported.”
—Albert Camus (1913–1960)