Two fuzzy ideas for new sequence transformations.

[Antti Karttunen]

Hmm, in the previous mail, I said "y" in few places where I should have said "z".
Corrected below:

Antti Karttunen wrote:

>
> Or even, if we could guarantee that two such one pass elements x and y,
> when multiplied together with proper "correction constants" c1,c2 and c3:
> would yield a third element z:
>
>  c1 * x * c2 * y * c3 = z
>
> which would also certainly be expressible in the same format:
>
> z =  h1^f1 * h2^f2 * h3^f3 * h4^f4 * ...
>
> Thus we would have a transformation which would give from two integer
> sequences A and B, the third one C, which would reflect the multiplication
> table of the said group. (If any such group exists).
> Of course, if the generators of the group were such that no other exponents
> than 0 and 1 would make much sense (like the transpositions in the symmetric group),
> then it would be better to use characteristic sequences as the exponent sequences.
>
> Terveisin,
>
> Antti Karttunen