New posts in Ceiling And Floor Functions

Solve $\lfloor{\sin x}\rfloor+\lfloor{\cos x}\rfloor=2^{1-|\sin x|}$

How to evaluate a sum of square roots rounded to the nearest integer?

find positive real number x that satisfies $2001=x\lfloor x\lfloor x\lfloor x\rfloor\rfloor\rfloor$

Find $n$ such that $n\sqrt5 - \lfloor{n\sqrt5}\rfloor$ is maximised or minimised?

Prove that $\exists c>0$ s.t $\sum_{n\geq x}\frac{1}{n^2}\leq \frac{c}{x}$

What is the mathematical notation for rounding a given number to the nearest integer?

Any suggestions on a closed form of $\sum_{a=1}^{N} \left({\lfloor{\frac{N+1}{a}}\rfloor+\lfloor{\frac{N-1}{a}}\rfloor}\right)$

Prove that $\lfloor N/ \lfloor \sqrt{N} \rfloor^2\rfloor = 1$ for $N > 8$

Limit of $\left\lfloor x \left\lfloor \frac1x \right\rfloor \right\rfloor$, as $x$ goes to zero

Find sum $ \sum\limits_{k=2}^{2^{2^n}} \frac{1}{2^{\lfloor \log_2k \rfloor} \cdot 4^{\lfloor \log_2(\log_2k )\rfloor}} $