unit function

Noun

Meaning

unit function (plural unit functions)

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




ε
(
n
)
=


{



1
,




if


n
=
1




0
,




if


n
≠
1








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

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