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Re: Can't make function periodic for t<0

Started byHeike Gramberg <heike.gramberg@gmail.com>
First post2011-05-30 11:47 +0000
Last post2011-05-30 11:47 +0000
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  Re: Can't make function periodic for t<0 Heike Gramberg <heike.gramberg@gmail.com> - 2011-05-30 11:47 +0000

#2812 — Re: Can't make function periodic for t<0

FromHeike Gramberg <heike.gramberg@gmail.com>
Date2011-05-30 11:47 +0000
SubjectRe: Can't make function periodic for t<0
Message-ID<is0056$9o5$1@smc.vnet.net>
You can provide an offset for Mod. For example, Mod[a,L,b] will return values between b
and L+b. In your example, you could redefine mekeper according to

makeper[f_,L_,offset_] := f[Mod[#,L,offset]]&

then

x1=makeper[x,1,-1/2]

would be the periodic function you're looking for.

Heike.

On 30 May 2011, at 11:35, yitzhakbg wrote:

> This is the function to make periodic:
> x[t_] := Piecewise[{{-1, -1/2 <= t < 0}, {1, 0 <= t < 1/2}}]
>
> I saw DH's lovely post from 1/14/09:
> "if we want some function f to have period L we may define an operator:
> makeper[f_,L_]= f[Mod[#,L]]&
> Here is an example. We want a sine with period 1:
> sin1= makeper[Sin,1]"
> I can't get it to work for t<0 because Mod always returns positive values.
> Can anyone kindly help?
> Yitzhak
>

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