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The notation / is also used, and is less ambiguous. Denotes the set of rational numbers (fractions of two integers). It is often denoted also by . Denotes the set of p-adic numbers, where p is a prime number.
1684 (deriving from use of colon to denote fractions, dating back to 1633) ... braces, a.k.a. curly brackets (for set notation) 1895 Georg Cantor Blackboard bold ...
A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] 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 ...
The Mathematical Operators block (U+2200–U+22FF) contains characters for mathematical, logical, and set notation. Mathematical Operators [1] Official Unicode Consortium code chart (PDF)
Universe set and complement notation The notation L ∁ = def X ∖ L . {\displaystyle L^{\complement }~{\stackrel {\scriptscriptstyle {\text{def}}}{=}}~X\setminus L.} may be used if L {\displaystyle L} is a subset of some set X {\displaystyle X} that is understood (say from context, or because it is clearly stated what the superset X ...
2 Notation and terminology. 3 Examples. 4 Cardinality of sets. 5 Formal relation. 6 See also. ... The binary relation "is an element of", also called set membership ...
So the intersection of the empty family should be the universal set (the identity element for the operation of intersection), [4] but in standard set theory, the universal set does not exist. However, when restricted to the context of subsets of a given fixed set X {\displaystyle X} , the notion of the intersection of an empty collection of ...
Set-builder notation can be used to describe a set that is defined by a predicate, that is, a logical formula that evaluates to true for an element of the set, and false otherwise. [2] In this form, set-builder notation has three parts: a variable, a colon or vertical bar separator, and a predicate. Thus there is a variable on the left of the ...