CDR: RE: Think cash
Sampo A Syreeni
ssyreeni at cc.helsinki.fi
Thu Oct 12 04:19:29 PDT 2000
On Wed, 11 Oct 2000, Trei, Peter wrote:
>by a computer are the killers. Any problem which one computer
>can create, and solve, can also be solved by another.
Not true. One example from the theory of computation: given a finite set of
3x3 matrices, determine whether some finite matrix product of them equals
zero (i.e. repetition and reordering is allowed). This is a noncomputable
problem, even when we know that all such series can be computer generated
and a given solution can be easily verified. Sort of cracked me when I first
found it.
Naturally this particular problem isn't suitable for human consumption, like
the original mail required.
Sampo Syreeni <decoy at iki.fi>, aka decoy, student/math/Helsinki university
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