Re: sine and modulus ?
- From: quasi <quasi@xxxxxxxx>
- Date: Sun, 19 Oct 2008 15:03:39 -0400
On Sun, 19 Oct 2008 07:17:44 EDT, amy666 <tommy1729@xxxxxxxxxxx>
wrote:
im thinking about a sine defined for modulus algebra.
Sounds like fun.
sin(a) mod p = b mod p
cos(a) mod p = c mod p
b^2 + c^2 = 1 mod p
where the sine and cosine can be computed by their taylor series expanded at 0 and mod p.
But regardless of the modulus, the coefficients of the Taylor series
are eventually all undefined (division by 0).
that does require for instance convergeance of some kind , i suggest that the lim of the average of the taylor terms is taken.
Averaging -- (mod p) presumably, is an interesting idea.
by this way it will only work for some values of p not just mod *any integer*.
At this point, nothing is working.
quasi
.
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