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)
“There are instances when we are like horses, we psychologists, and grow restless: we see our own shadow wavering up and down before us. A psychologist must look away from himself in order to see anything at all.”
—Friedrich Nietzsche (1844–1900)