# ordering

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**Axiom of choice**— This article is about the mathematical concept. For the band named after it, see Axiom of Choice (band). In mathematics, the axiom of choice, or AC, is an axiom of set theory stating that for every family of nonempty sets there exists a family of …92

**Collation**— This article is about collation in library, information, and computer science. For other uses, see Collation (disambiguation). Alphabetical redirects here. For the type of writing system, see Alphabet. For the album, see Alphabetical (album). A–Z …93

**Directed acyclic graph**— An example of a directed acyclic graph In mathematics and computer science, a directed acyclic graph (DAG i …94

**Cyclic order**— In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order cannot be modeled as a binary relation a < b . One does not say that east is more clockwise than west.… …95

**Binary decision diagram**— In the field of computer science, a binary decision diagram (BDD) or branching program, like a negation normal form (NNF) or a propositional directed acyclic graph (PDAG), is a data structure that is used to represent a Boolean function. On a… …96

**Topological sorting**— Dependency resolution redirects here. For other uses, see Dependency (disambiguation). In computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that, for every edge uv, u comes… …97

**Dominance order**— Example of dominance ordering of partitions of n. Here, n = 6, nodes are partitions of 6, edges indicate that the upper node dominates the lower node. While this particular partial ordering is graded, this is not true for the dominance ordering… …98

**Liquid crystal**— Schlieren texture of liquid crystal nematic phase Liquid crystals (LCs) are a state of matter that have properties between those of a conventional liquid and those of a solid crystal.[1] For instance, an LC may flow like a liquid, but its… …99

**Combinatorial number system**— In mathematics, and in particular in combinatorics, the combinatorial number system of degree k (for some positive integer k), also referred to as combinadics, is a correspondence between natural numbers (taken to include 0) N and k… …100

**Deuteronomic Code**— The Deuteronomic Code is the name given by academics to the law code within the Book of Deuteronomy. It contains a variety of topics including religious ceremonies and ritual purity, civil and criminal law, and the conduct of war .[1] They are… …