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Set (mathematics) - Wikipedia
In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. A set may have a finite number of elements or … See more
Mathematical texts commonly denote sets by capital letters in italic, such as A, B, C. A set may also be called a collection or family, especially … See more
A singleton set is a set with exactly one element; such a set may also be called a unit set. Any such set can be written as {x}, where x is the … See more
An Euler diagram is a graphical representation of a collection of sets; each set is depicted as a planar region enclosed by a loop, with its … See more
If B is a set and x is an element of B, this is written in shorthand as x ∈ B, which can also be read as "x belongs to B", or "x is in B". The statement "y is not an element of B" is written as y ∉ … See more
The empty set (or null set) is the unique set that has no members. It is denoted ∅, $${\displaystyle \emptyset }$$, { }, ϕ, or ϕ. See more
If every element of set A is also in B, then A is described as being a subset of B, or contained in B, written A ⊆ B, or B ⊇ A. The latter notation may be read B contains A, B includes A, or … See more
There are sets of such mathematical importance, to which mathematicians refer so frequently, that they have acquired special names and … See more
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WEBA set is a well-defined collection of distinct objects. The individual objects in a set are called the members or elements of the set. Some notations for sets are: {1, 2, 3} = set of integers greater than 0 and less than 4 = {x: x …
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