Re: Substitution!!!

*To*: mathgroup at smc.vnet.net*Subject*: [mg35680] Re: [mg35660] Substitution!!!*From*: "Julio Vera" <jvera at adinet.com.uy>*Date*: Thu, 25 Jul 2002 04:46:33 -0400 (EDT)*References*: <200207240607.CAA28759@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Chekad, I don´t know if I understood your problem correctly. If you just want to name each polinomial i as S_i, you could name the already entered list as s, and each element s[[i]] will be each polinomial. In[] s={1 + x, 1 + x + x^2, 1 + x + x^3, 1 + x^2 + x^3, 1 + x + x^6, 1 + x^3 + x^6, 1 + x + x^2 + x^4 + x^6, 1 + x + x^3 + x^4 + x^6, 1 + x^5 + x^6, 1 + x + x^2 + x^5 + x^6, 1 + x^2 + x^3 + x^5 + x^6, 1 + x + x^4 + x^5 + x^6, 1 + x^2 + x^4 + x^5 + x^6} Out[] {1 + x, 1 + x + x^2, 1 + x + x^3, 1 + x^2 + x^3, 1 + x + x^6, 1 + x^3 + x^6, 1 + x + x^2 + x^4 + x^6, 1 + x + x^3 + x^4 + x^6, 1 + x^5 + x^6, 1 + x + x^2 + x^5 + x^6, 1 + x^2 + x^3 + x^5 + x^6, 1 + x + x^4 + x^5 + x^6, 1 + x^2 + x^4 + x^5 + x^6} In[] s[[1]] Out[] 1+x In[] s[[13]] Out 1 + x^2 + x^4 + x^5 + x^6 I you want to get the product of all the elements of the list, you can apply the command Times to the list s Apply[Times,s] or it´s equivalent Times@@s Hope this helps, Julio ----- Original Message ----- From: "Chekad Sarami" <csarami at mtu.edu> To: mathgroup at smc.vnet.net Subject: [mg35680] [mg35660] Substitution!!! > Hi, > > > I have a question regarding substitute of an expression with index > variables..I need to make a table for some products of irreducible > polynomials (Irreducible factors of x^63 -1) . But they are so large and I > can't fit them into the columns of my table. So I need to use these > substitutions > > {S_1, S_2, S_3, S_4, S_5, S_6, S_7, S_8, S_9, S_10, S_11, S_12, S_13, S_14} > : ------> {1 + x, 1 + x + x^2, 1 + x + x^3, 1 + x^2 + x^3, 1 + x + x^6, > 1 + x^3 + x^6, 1 + x + x^2 + x^4 + x^6, 1 + x + x^3 + x^4 + x^6, 1 + > x^5 + x^6, 1 + x + x^2 + x^5 + x^6, 1 + x^2 + x^3 + x^5 + x^6, 1 + x + x^4 > + x^5 + x^6, 1 + x^2 + x^4 + x^5 + x^6} > > > > ***** The right side is a list of irreducible polynomials which is assigned > to {S_1, S_2,.... S_14}.******* > > > > For example instead of putting this large expression (1 + x) (1 + x + x^2) > (1 + x + x^3) (1 + x + x^6) (1 + x^3 + x^6) (1 + x + x^2 + x^4 + x\^6) (1 + > x + x^3 + x^4 + x^6) (1 + x + x^2 + x^5 + x^6) in my table I can write it in > tems of S_i's in this form S_1 S_2 S_3 S_4 S_5 S_6 S_7 S_8. > > > > I tried ReplaceAll but it changes i.e. the above example to S_1 (S_1+x^3) > (S_1+x_6) .... Which is not what I want. > > Can anybody tell me how to do this. > > > > > > Regards > > CHEKAD > > > >

**References**:**Substitution!!!***From:*"Chekad Sarami" <csarami@mtu.edu>