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MathGroup Archive 2002

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Substitution!!!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg35660] Substitution!!!
  • From: "Chekad Sarami" <csarami at mtu.edu>
  • Date: Wed, 24 Jul 2002 02:07:04 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

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





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