Re: Error in FractionalPart?

*To*: mathgroup at smc.vnet.net*Subject*: [mg102461] Re: [mg102411] Error in FractionalPart?*From*: DrMajorBob <btreat1 at austin.rr.com>*Date*: Mon, 10 Aug 2009 04:14:34 -0400 (EDT)*References*: <200908080839.EAA01326@smc.vnet.net>*Reply-to*: drmajorbob at bigfoot.com

I get a different simplification: FullSimplify[f[x]^2 h[x]^2] 16 \[Pi]^4 (-1 + FractionalPart[x/(2 \[Pi])])^2 FractionalPart[x/( 2 \[Pi])]^2 and the plots look the same. Bobby On Sat, 08 Aug 2009 03:39:18 -0500, Filippo Miatto <miatto at gmail.com> wrote: > Dear all, > I have a little issue while fullsimplifying an apparently simple > expression. > After defining the functions > > F[x_] := 2 \[Pi] FractionalPart[x/(2 \[Pi])] > H[x_] := 2 \[Pi] FractionalPart[-x/(2 \[Pi])] + 2 \[Pi] > > I plot the function (F[x]^2)(H[x]^2) between 0 and 4pi and i get > something like a double 'gaussian' bell (it's not gaussian, it is just > to picture it). > Then I enter > > FullSimplify[(F[x]^2)(H[x]^2)] > > and I get as a result > > 16 \[Pi]^4 FractionalPart[x/(2 \[Pi])]^4 > > which when plotted does not give the same plot, actually it's very > different. > What am I (or is mathematica) doing wrong? > > Thank you in advance, > Filippo > -- DrMajorBob at bigfoot.com

**References**:**Error in FractionalPart?***From:*Filippo Miatto <miatto@gmail.com>