It’s a wonderful world where 1 / 0 is ∞ and 1 / -0 is -∞, making a lot of high school teachers very very mad. OTOH it’s also a very strange world where x = y does not imply 1 / x = 1 / y. But it is, very emphatically, an algebra.
Mostly it’s pure numerology, at least from the POV of most of the people using it.
IEEE 754 is the standard to which basically all computer systems implement floating point numbers. It specifically distinguishes between +0 and -0 among other weird quirks.
I’m not familiar with IEEE 754.
Edit: I think this sort of space shouldn’t be the kind where people get downvoted for admitting ignorance honestly, but maybe that’s just me.
It’s a wonderful world where 1 / 0 is ∞ and 1 / -0 is -∞, making a lot of high school teachers very very mad. OTOH it’s also a very strange world where x = y does not imply 1 / x = 1 / y. But it is, very emphatically, an algebra.
Mostly it’s pure numerology, at least from the POV of most of the people using it.
I’ll need to look at it more; it sounds interesting.
IEEE 754 is the standard to which basically all computer systems implement floating point numbers. It specifically distinguishes between +0 and -0 among other weird quirks.