unit function

English

Noun

unit function (plural unit functions)

1. (mathematics) a completely multiplicative function on the positive integers that is defined as equal to one for a special value and zero otherwise:

${\displaystyle \varepsilon (n)={\begin{cases}1,&{\mbox{if }}n=1\\0,&{\mbox{if }}n\neq 1\end{cases}}}$

Hypernyms

• multiplicative function

Hyponyms

• Heaviside unit function

References

• unit function on Wikipedia.Wikipedia