Definition:Characteristic Function (Set Theory)/Also known as
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Characteristic Function (Set Theory): Also known as
The characteristic function is also known as the indicator function, and $\map {\chi_E} x$ denoted $\map {\mathbf 1_E} x$.
However, that name is also used for the Euler $\phi$ function, and so is not endorsed on $\mathsf{Pr} \infty \mathsf{fWiki}$.
Some sources, in an attempt to apply consistency to the terminology, refer to this concept as a characteristic mapping, but this term appears to be rare.
Some sources use the symbol $\phi$ to denote a characteristic function.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): indicator function