Re: How to simplify an expression in version 5
- To: mathgroup at smc.vnet.net
- Subject: [mg59087] Re: [mg59022] How to simplify an expression in version 5
- From: yehuda ben-shimol <bsyehuda at gmail.com>
- Date: Thu, 28 Jul 2005 02:27:39 -0400 (EDT)
- References: <200507270524.BAA19903@smc.vnet.net>
- Reply-to: yehuda ben-shimol <bsyehuda at gmail.com>
- Sender: owner-wri-mathgroup at wolfram.com
Hi, Try to use Expand << Calculus`FourierTransform` FourierTrigSeries[Cos[t], t, 5, FourierParameters -> {0, 1/Pi}]//Expand will do the trick yehuda On 7/27/05, passwd9 <david at carter-hitchin.clara.co.uk> wrote: > 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. > >
- References:
- How to simplify an expression in version 5
- From: "passwd9" <david@carter-hitchin.clara.co.uk>
- How to simplify an expression in version 5