New posts in Ceiling And Floor Functions

Calculate the sum $S_n = \sum\limits_{k=1}^{\infty}\left\lfloor \frac{n}{2^k} + \frac{1}{2}\right\rfloor $

Find $\lim\limits_{x\to0^+}x(\lfloor \frac{1}{x}\rfloor+\lfloor \frac{2}{x}\rfloor+\cdots+\lfloor \frac{k}{x}\rfloor), \, k \in \mathbb N$.

$\left\lfloor \frac{a-b}{2} \right\rfloor + \left\lceil \frac{a+b}{2} \right\rceil = a$ when $a,b$ are integers?

Algebraic Closed Form for $\sum_{n=1}^{k}\left( n- 3 \lfloor \frac{n-1}{3} \rfloor\right)$

Finding the values of $x$ such that $[x^2]=[x]^2$ ($[\cdot]$ denotes the floor function)

Number theory question with floor function

Continuous antiderivative of $\frac{1}{1+\cos^2 x}$ without the floor function.

Infinitely many $n$ such that $2^n$ in base $10$ starts with $7777777$

$\lim_{n\to\infty}\frac{n -\big\lfloor\frac{n}{2}\big\rfloor+\big\lfloor\frac{n}{3}\big\rfloor-\dots}{n}$, a Brilliant problem

Does $x+\sqrt{x}$ ever round to a perfect square, given $x\in \mathbb{N}$?