Indicator function ( $1_{E}$ )

The indicator function of a set

E

is

1_{E} (x) = 1

for

x \in E

and

0

otherwise.

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- Indicator vector Indicator function

Indicator vector

The indicator vector of a subset

E \subseteq {1, \dots, n}

has coordinate

1

on

E

and coordinate

0

outside

E

.

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Indicator function by

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The indicator function, also known as the characteristic function, is a mathematical function used to indicate membership of an element in a set. It is defined for a given set and takes values of either 0 or 1.

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