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For requesting, clarifying, and comparing definitions of mathematical terms.

43 votes
1 answer
25k views

Formal definition of big-O when multiple variables are involved?

My question is this: what is the formal definition of the statement $f(m, n) = O(g(m, n))$? … Is it a straightforward generalization of the definition for one variable where we give lower bounds on both $m$ and $n$ that must be simultaneously satisfied, or is there some other definition defined …
templatetypedef's user avatar
11 votes
7 answers
4k views

Are there mathematical contexts where "finite" implicitly means "nonzero?"

Some students pointed out this dictionary definition of finite which explicitly excludes 0 as not finite. My background is in discrete math, and I've never seen zero referred to as not finite. …
templatetypedef's user avatar