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Non-trivial extension of max(n,1)-1 to the reals and its iteration.

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Non-trivial extension of max(n,1)-1 to the reals and its iteration.
Catullus Offline
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Question  06/09/2022, 11:06 PM (This post was last modified: 11/15/2022, 04:49 AM by Catullus.)
(05/16/2014, 01:37 PM)MphLee Wrote:
Quote:A-\( A(x)=max(x,1)-1 \)        only if \( x \in \mathbb{N} \)
B-\( A(x) \) is not discontinuous
\(\forall n\in\Bbb N\max(n,1)-1=n-1\)
Defining \(A(x)\) as \(x-\sin(x*\pi)-1\) might work.
Can someone please tell me a special integer?
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ฅ(ﾐ⚈ ﻌ ⚈ﾐ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\
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RE: Non-trivial extension of max(n,1)-1 to the reals and its iteration. - by Catullus - 06/09/2022, 11:06 PM

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