Re: How to simplify an expression in version 5

*To*: mathgroup at smc.vnet.net*Subject*: [mg59069] Re: [mg59022] How to simplify an expression in version 5*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Thu, 28 Jul 2005 02:26:19 -0400 (EDT)*Reply-to*: hanlonr at cox.net*Sender*: owner-wri-mathgroup at wolfram.com

Simplify works on my system to get rid of the radicals $Version 5.2 for Mac OS X (June 20, 2005) Needs["Calculus`FourierTransform`"]; FourierTrigSeries[Cos[t],t,5,FourierParameters->{0,1/Pi}]//Simplify (2*(2310*Cos[2*t] - 462*Cos[4*t] + 198*Cos[6*t] - 110*Cos[8*t] + 70*Cos [10*t] + 3465))/(3465*Pi) Bob Hanlon > > From: "passwd9" <david at carter-hitchin.clara.co.uk> To: mathgroup at smc.vnet.net > Date: 2005/07/27 Wed AM 01:24:43 EDT > Subject: [mg59069] [mg59022] How to simplify an expression in version 5 > > Hi, > > I'm trying to simplify the expression that comes out of the > FourierTrigSeries function, and I've tried 'Simplify', 'Collect' and > 'Factor' but no luck. My input is as follows: > > << Calculus`FourierTransform` > FourierTrigSeries[Cos[t], t, 5, FourierParameters -> {0, 1/Pi}] > > And the output is: > > \!\(\(2\/\@\[Pi] + \(4\ Cos[2\ t]\)\/\(3\ \@\[Pi]\) - \(4\ Cos[4\ > t]\)\/\(15\ \ > \@\[Pi]\) + \(4\ Cos[6\ t]\)\/\(35\ \@\[Pi]\) - \(4\ Cos[8\ t]\)\/\(63\ > \@\ > \[Pi]\) + \(4\ Cos[10\ t]\)\/\(99\ \@\[Pi]\)\)\/\@\[Pi]\) > > That's rather horrid looking in ascii, so I'll try to make something > more readable: > > (2/Sqrt(Pi) + 4Cos(2t)/3Sqrt(Pi) - 4Cos(4t)/15Sqrt(Pi) + ... ) > --------------------------------------------------------------- > Sqrt(Pi) > > > Now the Sqrt(Pi) in the denominator could be 'brought up' into the > terms in the numerator to give: > > > (2/Pi + 4Cos(2t)/3Pi - 4Cos(4t)/15Pi + ... ) > > Much more elegant! Anyone know if MM can do this? > > Thanks. > >