New posts in Ceiling And Floor Functions

Prove that $\left \lfloor \frac{1+\lfloor na+1/a\rfloor}{a} \right \rfloor=n$

Sum of floors inequality

Find the closed-form solution to a integral with the floor function

$[n \sqrt{2}] = [m (2+\sqrt{2})]$ for $m,n$ natural.

finding bounds for $\int_0^X\lfloor x^2\rfloor \, dx$

Showing that $S_n -\lfloor S_n \rfloor \sim U[0,1]$

Find the greatest integer less than $\frac{1}{\sin^2(\sin(1))}$ without calculator.

The number of ways to represent a natural number as the sum of three different natural numbers

$\lfloor\frac12+\frac1{2^2}+\frac1{2^3}+\cdots\rfloor\;$ vs $\;\lim_{n\to\infty}\lfloor\frac12+\frac1{2^2}+\cdots+\frac1{2^n}\rfloor$

Prove that $\frac{(3 a+3 b) !(2 a) !(3 b) !(2 b) !}{(2 a+3 b) !(a+2 b) !(a+b) ! a !(b !)^{2}}$ is an integer.