3 ms·
> ... to get 0.5 for the sum of > 1-1+1-1+.... requires real numbers. Actually it doesn't, it only requires the rationals. But it's clear now that you're no
by CarolineW 10y ago
> ... to get 0.5 for the sum of
> 1-1+1-1+.... requires real numbers.
Actually it doesn't, it only requires the rationals.
But it's clear now that you're not really talking about maths at all, so the comment about existing, established theory about modular arithmetic doesn't really help. You seem to be doing something, well, different.
And regardless, in the long-established theory of modular arithmetic, 1.2 is equal to -0.8 mod 2, regardless of you claiming that it's nonsense.
So at this point I have no idea what you're talking about.
- mSparks 10y agomeh, I tend to skip thinking about the rational numbers when I move onto this hardcore theory stuff :p There are two ways of constructing a number line from -inf to +inf The first, is that "nothing exists" to the left of -inf or to the right of +inf The other, more useful, is that -inf=+inf+1 and +inf=-inf-1, (or -inf=+inf, never remember which is the more useful) and they form a loop. Such as that constructed by a signed integer. e.g. e.g. with an 8 bit number 127+1 = -127 This has nothing to do with modulo afaik. (but all the basic construct stuff is related) and is more to do with every dimension being curved in another (meaning they always form such loops)