If n Z , prove that (a) (2n) 2(n) when n is even and (b) (2n) (n) when n is odd ...

Proof a If n is even then by the Fundamental Theorem of Arithmeti ...

If n Z+, prove that (a) (2n) = 2(n) when n is even; and (b) (2n)

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If n ∈ Z+, prove that
(a) ϕ(2n) = 2ϕ(n) when n is even; and
(b) ϕ(2n) = ϕ(n) when n is odd.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:38 AM

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If n Z+, prove that (a) (2n) = 2(n) when n is even; and (b) (2n)

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Proof a If n is even then by the Fundamental Theorem of Arithmeti...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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