## combinatorial analysisCombinatorial analysis is the branch of mathematics dealing with subdivisions of sets; its primary concerns are combinations and permutations and partitions (see partition number). A partition of a number n is its expression in the form of a sum of positive integers: i.e., setting
For example, the number 5 has 7 partitions: (1 + 1 + 1 + 1 + 1), (2 + 1 + 1 + 1), (2 + 2 + 1), (3 + 1 + 1), (3 + 2), (4 + 1), and (5). By extension combinatorial topology is the study of complex
forms in terms of their being built up from combinations of basic geometric
forms. ## Related entry• combinatorics | |||||

Home • About • Copyright © The Worlds of David Darling • Encyclopedia of Alternative Energy • Contact |