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1/0?

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There was a post a while back on "1/0", and I was disappointed to see a post of mine deleted. So I'll be brief and repeat my previous remark.

 

While 1/0 is generally undefined for fields, it is defined on the Riemann Sphere for the so-called extended complex numbers.

 

On this complex manifold, 1/0 = [tex]\infty[/tex], the "point at infinity".

 

Wolfram|Alpha and Mathematica implement this sort of complex arithmetic, albeit a bit inconsistently. Here's what Wolfram|Alpha thinks 1/0 is:

http://www.wolframalpha.com/input/?i=1%2F0

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No question really, just registering a complaint.

 

I'll get off my soap-box now I suppose.

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