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The ∩ symbol is chiefly used in set theory to show the intersection of two sets. The intersection of two sets contains all elements that are present in both sets. If an element belongs to both Set A and Set B, then it will belong to the intersection of A and B. Examples. Example 1: Basic intersection:
Learn what the intersection symbol (∩) means in math and probability, and how to use it in expressions and formulas. See the code point, TeX and SVG formats of the symbol.
The intersection of two sets \(A\) and \(B\), denoted \(A\cap B\), is the set of elements common to both \(A\) and \(B\). In symbols, \(\forall x\in{\cal U}\,\big[x\in A\cap B \Leftrightarrow (x\in A \wedge x\in B)\big]\).
The symbol U+2229 ∩ INTERSECTION was first used by Hermann Grassmann in Die Ausdehnungslehre von 1844 as general operation symbol, not specialized for intersection. From there, it was used by Giuseppe Peano (1858–1932) for intersection, in 1888 in Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann .
Intersection is written using the symbol " " between the terms; that is, in infix notation. For example: The intersection of more than two sets (generalized intersection) can be written as: which is similar to capital-sigma notation . For an explanation of the symbols used in this article, refer to the table of mathematical symbols . Definition.
Learn what intersection is in set theory, how to represent it with Venn diagrams and symbols, and what properties it has. Find examples, formulas, and exercises on intersection of sets.
Learn the definitions and symbols of union and intersection of sets, and how to use Venn diagrams to visualize them. See examples of sets and their operations with solutions.
