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From: Cheng Cosine on 25 May 2010 21:47
Hi:

Given a polynomial eqn of single vairbale, we know that there are
exactly the same number of zeros as its degree.

But what about a general eqn other than polynomial; do we have any
theorem to know the number of zeros? Or, at least, are there theorems
helping us to decide if a given eqn of single vairable has only finite
zeros or infinite ones?

How about the more general case for a set of eqns having multiple
independent variables?

Thanks,
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