Let bı, ..., bi, ..., bm m vectors of Rn, let x = u1b1+ . . . + umbm and let q(u), u(u1, . . . , um) 2 Rm be the quadratic form given by q(u) =||x||2 . We study how this quadratic form changes as the signs of the coefficients change. We give an interesting way to represent the abelian elementary 2-groups of order 2m-ı.
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