List questions from ceiling-and-floor-functions

Published on 14 Sep 2020 - 3:32

81

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What's the value of $\lim_{n\to \infty} \frac{n+1}{n^2+1}\left[\frac{n^2+1}{n+1}\right]$

Published on 14 Sep 2020 - 10:01

543

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How many positive integer solutions exist for $[\frac{x}{19}]=[\frac{x}{20}]$, where $[x]$ denotes the Greatest integer function

Published on 19 Sep 2020 - 6:38

1.9k

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Given $x^5-x^3+x-2=0$, find $\lfloor x^6\rfloor$.

Published on 19 Sep 2020 - 9:13

47

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residues mod. n of $\lfloor k\alpha\rfloor$ where $\alpha$ is irrational positive.

Published on 21 Sep 2020 - 9:55

23

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Checking if there is a better way of handling the distribution of $K\times\lfloor \frac{X}{K}\rfloor$ given $X$ is already known.

Published on 21 Sep 2020 - 11:06

69

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Find $\{u \geq a\}$ for all $a \in \mathbb{R}$, $u(x)=\lfloor x\rfloor$

Published on 30 Mar 2026 - 2:07

63

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Find solutions for integrals with floor function

Published on 22 Sep 2020 - 13:35

107

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Simplifying expression with ceil

Published on 23 Sep 2020 - 18:05

344

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$\sum_{i=0}^k \lfloor\sqrt{ip} \rfloor = \frac{(p^2-1)}{12}$ where p is a prime and $p=4k+1$

Published on 29 Mar 2026 - 19:14

53

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Integral of ceiling

Published on 28 Sep 2020 - 10:53

16

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Finite Integer Osculations of a continuous function on a compact

Published on 07 Mar 2026 - 23:33

110

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Monotonic increasing function with constraints

Published on 30 Mar 2026 - 12:36

277

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Description of Floor Function Correct?

Published on 02 Oct 2020 - 12:56

397

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How to replace floor to ceil

Published on 03 Oct 2020 - 17:49

List Question

Floor function bounding

What's the value of $\lim_{n\to \infty} \frac{n+1}{n^2+1}\left[\frac{n^2+1}{n+1}\right]$

How many positive integer solutions exist for $[\frac{x}{19}]=[\frac{x}{20}]$, where $[x]$ denotes the Greatest integer function

Given $x^5-x^3+x-2=0$, find $\lfloor x^6\rfloor$.

residues mod. n of $\lfloor k\alpha\rfloor$ where $\alpha$ is irrational positive.

Checking if there is a better way of handling the distribution of $K\times\lfloor \frac{X}{K}\rfloor$ given $X$ is already known.

Find $\{u \geq a\}$ for all $a \in \mathbb{R}$, $u(x)=\lfloor x\rfloor$

Find solutions for integrals with floor function

Simplifying expression with ceil

$\sum_{i=0}^k \lfloor\sqrt{ip} \rfloor = \frac{(p^2-1)}{12}$ where p is a prime and $p=4k+1$

Integral of ceiling

Finite Integer Osculations of a continuous function on a compact

Monotonic increasing function with constraints

Description of Floor Function Correct?

How to replace floor to ceil

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