> Den fredagen den 1:e november 2013 kl. 04:01:53 UTC+1 skrev Ben Bacarisse: >> email@example.com writes: <snip> >> > The perfect square we find is subtracted from our number and now we >> > work same approach for this smaller square. This is repeated until the >> > full number is encoded to a series of squares + a small integer less >> > then 4. >> >> Yes, this bit I've understood, but why? What's the point of doing this?
<snip> > Main point is that it ism, i think it is a nice way express very big > numbers without any approximation.
I have to take your word for it, since "nice" is in the eye of the beholder.
> Another is that we can encode any number making a square modular > number system doing mathematic in,
I can't parse this.
> since it seem consistent enough doing arithmetic in, without go back > to standard bases. So it is not just naturals it work perfectly good > for reals.
Sorry, more trouble understanding. Do you mean that there is some arithmetic advantage to representing numbers this way? Do mean that arithmetic is faster/simpler/neater using your sum of squares notation than using, say, normal binary arithmetic?
> Another point i do not which to spell out i rather implement it and > refine it before showing. But that point is probably the reason i > implemented it in the first case, but i think this encoding of > numbersystem is quite useful.