## combinatorial analysisThe 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 | |||||

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