Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Math Forum
»
Discussions
»
sci.math.*
»
sci.math
Topic:
Find the perfect square closest to n(x), i just want the perfect square above or below no decimals. Can it be solved using geometry?
Replies:
2
Last Post:
Nov 1, 2013 2:47 PM




Re: Find the perfect square closest to n(x), i just want the perfect square above or below no decimals. Can it be solved using geometry?
Posted:
Nov 1, 2013 1:19 PM


jonas.thornvall@gmail.com writes:
> Den fredagen den 1:e november 2013 kl. 04:01:53 UTC+1 skrev Ben Bacarisse: >> jonas.thornvall@gmail.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.
I don't follow this point either.
 Ben.



