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In article <94gv2l$c38$1_at_news.tue.nl>,
hidders_at_win.tue.nl (Jan Hidders) wrote:
>
Let's solve some equations:
x*x = { 1*<1,0,0,0> }
Assume
x = { k1*<a11,a12> , k2*<a21, a22> }
(Here my decision to guess a solution with 2 tuples only is somewhat arbitrary.) If we try to match
k1*k2*<a11,a12,a11,a12> = 1*<1,0,0,0>
then we have
k1*k2*a11 = 0 &
k1*k2*a11 = 0
k1*k2*<a11,a12,a21,a22> = 1*<1,0,0,0>
then
k1*k2*a11 = 1 k1*k2*a12 = 0 k1*k2*a21 = 0 k1*k2*a22 = 0
has no solutions as well.
For equation x*x=a, where 'a' has tuples that are of not square arity I don't even know how to approach. I assume that they don't have solutions even on the domain of complex number weighted tuple bags. Am I multiplying bugs correctly?
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Received on Tue Jan 23 2001 - 13:23:22 CST