Re: Simplification
- To: mathgroup at smc.vnet.net
- Subject: [mg75471] Re: Simplification
- From: dimitris <dimmechan at yahoo.com>
- Date: Wed, 2 May 2007 03:50:10 -0400 (EDT)
- References: <f146na$m9e$1@smc.vnet.net>
Big thanks to everyone replied me! Dimitris =CF/=C7 dimitris =DD=E3=F1=E1=F8=E5: > This appeared in another forum. > > (Converting to Mathematica InputForm.) > > In[2]:= > oo = Product[Cos[(2^j*Pi)/1023], {j, 0, 9}]/Product[Cos[(2^j*Pi)/ > 1025], {j, 0, 9}]; > > The expression can be simplified to -1. > > Indeed, adopted by someone's reply, in another CAS, we simply have > > Product(cos(Pi*2^j/1023), j= 0..9)/ Product(cos(Pi*2^j/1025), j= > 0..9): > p:=value(%): > convert(p, sin): > simplify(%); > -1 > > However, no matter what I tried I was not able to succeed in > simplifying above expression > to -1 with Mathematica, in reasonable time. Futhermore, even the much > more simpler of > showing oo==-1 didn't work. > > So I would really appreciate if someone pointing me out: > 1) A way to show (in Mathematica!) that oo is simplified to -1 > 2) That the equality oo==-1 (or oo-1==0 alternatively) can be > simplified > to True. > > Any ideas? > > BTW, I found the function convert of the other CAS, very useful. > Has anyone implementated a similar function in Mathematica? > (I ain't aware of a Mathematica built-in function, similar to convert > from the other CAS.) > > Dimitris