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Topic: software wanted
Replies: 1   Last Post: Jun 15, 1996 2:51 AM

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Markelov Serge 1993v

Posts: 1
Registered: 12/12/04
software wanted
Posted: Jun 14, 1996 8:04 AM
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variables can be made from elementary symmetric ones (like
x^3+y^3+z^3=(x+y+z)^3-3(x+y+z)(xy+xz+yz)+3xyz). Does anybody
knows any software that is able to find reprezentations like
listed above? More generally, there is a theorem that garantees
that instead of elementary symmetric polinoms we can use any symmetric
polinoms of degrees 1,2, .. n. (for instance, x+y+z, x^2+y^2+z^2,
x^2y+xy^2+..+yz^2 instead of x+y+z, xy+xz+yz, xyz in case n=3). Is
there any software that is able to find reprezentations not only using
elementary symmetric base, but using some other base (so I give the
symmetic polinom and the base (n symmetric polinoms of degrees
1,2,..n), and the program shows me, how can my polinom be represented
with the polinoms of base) ?
If there is a choice, I prefer Linux, but other Unix, or
dos/windows is possible also.
Reply only via e-mail, please (I live in Russia...)
Thanks & excuse my poor english, please :-).
--
Best regards!
Sergey Markelov <markelov@sch57.mcn.msk.su>







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