complement of a set

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• Complement (set theory) — In set theory, a complement of a set A refers to things not in (that is, things outside of), A. The relative complement of A with respect to a set B, is the set of elements in B but not in A. When all sets under consideration are considered to be …   Wikipedia

• Complement (music) — Traditional interval complementation: P4 + P5 = P8 In music the term complement refers to two distinct concepts. In traditional music theory a complement is the interval which, when added to the original interval, spans an octave in total. For… …   Wikipedia

• Complement (complexity) — In computational complexity theory, the complement of a decision problem is the decision problem resulting from reversing the yes and no answers. Equivalently, if we define decision problems as sets of finite strings, then the complement of this… …   Wikipedia

• complement — complementer, n. n. /kom pleuh meuhnt/; v. /kom pleuh ment /, n. 1. something that completes or makes perfect: A good wine is a complement to a good meal. 2. the quantity or amount that completes anything: We now have a full complement of packers …   Universalium

• set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

• complement — The complement of a set S is the class of objects that are not members of S. In standard set theory the complement of a set cannot itself be a set: only those things not in the set but meeting some further restriction can form a set. See… …   Philosophy dictionary

• Set (computer science) — In computer science, a set is a collection (container) of certain values, without any particular order, and no repeated values. It corresponds with a finite set in mathematics. Disregarding sequence, and the fact that there are no repeated values …   Wikipedia

• set — Intuitively a set is a collection of entities, called its members or elements, itself considered as a single object. The fundamental principle of the theory of sets is the principle of extensionality : sets are identical if and only if they have… …   Philosophy dictionary

• Complement set email filtering — Complement Set Filtering (CSF) is a method for filtering unsolicited bulk email (UBE or spam) The technique utilizes at least two email accounts: the primary account where spam and non spam is received and secondary accounts that receive only… …   Wikipedia

• Complement (mathematics) — Complement has a variety of uses in mathematics:* complement, an operation that transforms an integer into its additive inverse, useful for subtracting numbers when only addition is possible, or is easier * complement, a system for working with… …   Wikipedia

• complement — n Complement, supplement are comparable both as nouns meaning one thing that makes up for a want or deficiency in another thing and as verbs meaning to supply what is needed to make up for such a want or deficiency. Complement implies a… …   New Dictionary of Synonyms