What Is an Asymptotically Nonnegative Function?

What Is an Asymptotically Nonnegative Function?
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I was reading up on the definition of theta- notation and came across this,

The definition of $\Theta(g(n))$ requires that every member $f(n) = \Theta(g(n))$ be asymptotically nonnegative, that is, that $f(n)$ be nonnegative whenever $n$ is sufficiently large.

I'm having a little difficulty understanding what this means.

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1 Answer

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It means that there is some positive $N$ such that for all $n > N$, we have $f(n) \geq 0$.

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Marcus Vance
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Marcus Vance

Marcus Vance is a cybersecurity auditor and technology writer dedicated to educating the public about online safety, data privacy regulations, enterprise security, and emerging cyber threats.