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Questions about asymptotic notations and analysis

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First, observe that $\lfloor \log N \rfloor < 2\lceil \log N \rceil$ holds for all $N \geq 2$. Let $n_0 = 2$, $c_1=2$, $f(N)=2\lfloor \log N \rfloor$, $g(N) = 2\lceil \log N \rceil$. So $$f(N) \leq c_ …
answered Jan 28 '18 by S. Plum P.