New posts in ceiling-and-floor-functions

Integer part of a sum (floor)

calculus sequences-and-series ceiling-and-floor-functions

Prove that: $\lfloor n^{1/2}\rfloor+\cdots+\lfloor n^{1/n}\rfloor=\lfloor \log_2n\rfloor +\cdots+\lfloor \log_nn \rfloor$, for $n > 1$

calculus inequality logarithms ceiling-and-floor-functions rational-functions

Solutions to $\frac1{\lfloor x\rfloor}+\frac1{\lfloor 2x\rfloor}=\{x\}+\frac13$

calculus number-theory functions ceiling-and-floor-functions

$\{x^2\} = \{x\}^2$, how many solutions in interval $[1, 10]$

graphing-functions integers ceiling-and-floor-functions fractional-part

How can I calculate this limit: $\lim\limits_{x\to 0} x\left\lfloor\frac{1}{x}\right\rfloor$?

calculus limits ceiling-and-floor-functions

How to isolate a variable within multiple ceiling and floor functions?

algebra-precalculus ceiling-and-floor-functions

Proving that $x$ is irrational if $x-\lfloor x \rfloor + \frac1x - \left\lfloor \frac1x \right\rfloor = 1$

irrational-numbers rational-numbers ceiling-and-floor-functions

What is ⌊0.9 recurring ⌋? [duplicate]

ceiling-and-floor-functions

Summation on floor function [closed]

sequences-and-series summation ceiling-and-floor-functions

Generalization of $\lfloor \sqrt n+\sqrt {n+1}+\sqrt{n+2}+\sqrt{n+3}+\sqrt{n+4}\rfloor=\lfloor\sqrt {25n+49}\rfloor$

number-theory functions summation radicals ceiling-and-floor-functions

On the pseudo-Fibonacci and pseudo-Tribonacci sequences $A_n = \lceil e^{(n-1)/2}\rceil $ and $B_n = \lceil e^{\pi(n-1)/5}\rceil $

sequences-and-series exponential-function fibonacci-numbers ceiling-and-floor-functions

Efficient computation of $\sum_{k=1}^n \left\lfloor \frac{n}{k}\right\rfloor$

elementary-number-theory algorithms summation computational-mathematics ceiling-and-floor-functions

Solving a floor function problem [closed]

real-analysis calculus number-theory real-numbers ceiling-and-floor-functions

How to isolate a variable inside floor and ceiling functions?

algebra-precalculus ceiling-and-floor-functions

$ \left\lfloor 10^{\lfloor n \rfloor} \pi \bmod 10 \right\rfloor $ - does this function give the nth decimal place of pi?

modular-arithmetic ceiling-and-floor-functions pi rounding-error desmos

For $n \in \mathbb{N}$ $\lfloor{\sqrt{n} + \sqrt{n+1}\rfloor} = \lfloor{\sqrt{4n+2}\rfloor}$

elementary-number-theory radicals ceiling-and-floor-functions

How to prove that $\frac{(5m)!(5n)!}{(m!)(n!)(3m+n)!(3n+m)!}$ is a natural number?

elementary-number-theory inequality contest-math divisibility ceiling-and-floor-functions

How prove this $\{a\}\cdot\{b\}\cdot\{c\}=0$ if $\lfloor na\rfloor+\lfloor nb\rfloor=\lfloor nc\rfloor$

number-theory ceiling-and-floor-functions

How to find $\lfloor 1/\sqrt{1}+1/\sqrt{2}+\dots+1/\sqrt{100}\rfloor $ without a calculator?

algebra-precalculus summation radicals ceiling-and-floor-functions

How to solve $\lfloor x \rfloor + \lfloor \frac{1}{x} \rfloor = 1$?

real-analysis discrete-mathematics real-numbers ceiling-and-floor-functions