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Intersection ()

Intersection[list₁, list₂, ...]
gives a sorted list of the elements common to all the list_i.

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If the list_i are considered as sets, Intersection gives their intersection.

Intersection[list₁, list₂, ...] can be input in StandardForm and InputForm as list₁list₂.... The character can be entered as Esc inter Esc or \[Intersection].

The list_i must have the same head, but it need not be List.

Intersection[list₁, ..., SameTest->test] applies test to each pair of elements in the list_i to determine whether they should be considered the same.

Intersection[a, b] can be entered in StandardForm and InputForm as ab or a\[Intersection]b.

Basic Examples (2)

Find elements common to all the lists given:

Enter using Esc inter Esc:

Generalizations & Extensions (1)

Applications (1)

Properties & Relations (1)

Union Complement

Lists as Sets

Discrete & Integer Data

Discrete Mathematics

Math & Counting Operations on Lists

Rearranging & Restructuring Lists

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