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This is my first post; didn't see an introduction thread.
But I wasn't using real numbers.
Why doesn't this site have avatars when when it seems to have lots besides?
MY post was a jumble of things. Didn't know if the TEX command would actually work.Also having some unrelated things to contend with, so I may make a more thorough response in like three or four hours... And it was complex infinity, not infinity, if that makes any difference to you.
complexInfinity represents the only non-complex point of the one-point compactification of the complex numbers.Mathematically, complexInfinity is the north pole of the Riemann sphere, with the unit circle as equator and the point 0 at the south pole.With respect to arithmetic, complexInfinity behaves like "1/0". In particular, non-zero complex numbers may be multiplied or divided by complexInfinity or 1/ complexInfinity. Adding complexInfinity to a finite number yields again complexInfinity.With respect to arithmetical operations, complexInfinity is incompatible with the real infinity.
Riemann Sphere(redirected from Complex infinity)Also found in: Wikipedia.Riemann sphere[′rē‚män ‚sfir](mathematics)The two-sphere whose points are identified with all complex numbers by a stereographic projection. Also known as complex sphere.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
if we evaluate this strictly as 1/(1/0) then there is no way to give the answer, but with a little algebraic manipulation (multiplying by another undefinable, 0/0) we do indeed get (0*1)/(1*0/0), which simplifies to 0/1 = 0.
Given no context, I agree with pmbphy, that dividing by 0 gives a nonsensical answer, but if there were some context (what type of zero: is this something where the limit approaches zero? or was this zero introduced to an otherwise soluble expression?) then the expression could be evaluated...
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