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Wiktionary The Free Dictionary

unit function

From Wiktionary, the free dictionary

English

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Noun

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

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