Definition and Terminology
Formally, a set S is called finite if there exists a bijection
for some natural number n. The number n is called the cardinality of the set, and is denoted |S|. (Note that the empty set is considered finite, with cardinality zero.) If a set is finite, its elements may be written as a sequence:
In combinatorics, a finite set with n elements is sometimes called an n-set and a subset with k elements is called a k-subset. For example, the set {5,6,7} is a 3-set, a finite set with three elements, and {6,7} is a 2-subset of it.
Read more about this topic: Finite Set
Famous quotes containing the word definition:
“The physicians say, they are not materialists; but they are:MSpirit is matter reduced to an extreme thinness: O so thin!—But the definition of spiritual should be, that which is its own evidence. What notions do they attach to love! what to religion! One would not willingly pronounce these words in their hearing, and give them the occasion to profane them.”
—Ralph Waldo Emerson (1803–1882)