List questions from ceiling-and-floor-functions

Published on 31 May 2016 - 20:31

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Difference of the floor of a product and the product of floors

Published on 01 Jun 2016 - 20:01

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Analytic floor function, why this seems to work?

Published on 25 Mar 2026 - 16:20

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A little help with $ x_n = \frac{1}{n^2} \sum_{k=1}^{n} \left[ k \alpha \right] $

Published on 04 Jun 2016 - 2:34

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How to solve complicated floor function equations?

Published on 05 Jun 2016 - 15:26

259

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Solutions of $\lfloor 4x\rfloor+\lfloor 3x\rfloor=1$

Published on 05 Jun 2016 - 16:21

276

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Kolmogorov's Truncation Lemma (iii)

Published on 05 Jun 2016 - 18:28

178

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Prove $\Sigma_{k=0}^{n-1}\lfloor x+\frac{k}{n}\rfloor=\lfloor nx\rfloor$ , n is a Natural Number

Published on 06 Jun 2016 - 1:37

288

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Integration of floor function.

Published on 06 Jun 2016 - 6:43

235

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Showing that $ \left\lfloor \frac{n-1}{2}\right\rfloor +\left\lfloor \frac{n+2}{4}\right\rfloor + \left\lfloor\frac{n+4}{4} \right\rfloor =n$

Published on 06 Jun 2016 - 16:10

2.8k

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Summation Closed form for floor$\left(\log_n\right)$

Published on 06 Jun 2016 - 16:48

349

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Solutions to $\lfloor x\rfloor\lfloor y\rfloor=x+y$

Published on 09 Jun 2016 - 5:35

77

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Series expansion of {x}

Published on 09 Jun 2016 - 17:23

129

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Solution of $x-1=(x-\lfloor x \rfloor)(x-\{x\})$

Published on 09 Jun 2016 - 19:20

348

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

Published on 10 Jun 2016 - 14:40

List Question

Integrating the floor of a function

Difference of the floor of a product and the product of floors

Analytic floor function, why this seems to work?

A little help with $ x_n = \frac{1}{n^2} \sum_{k=1}^{n} \left[ k \alpha \right] $

How to solve complicated floor function equations?

Solutions of $\lfloor 4x\rfloor+\lfloor 3x\rfloor=1$

Kolmogorov's Truncation Lemma (iii)

Prove $\Sigma_{k=0}^{n-1}\lfloor x+\frac{k}{n}\rfloor=\lfloor nx\rfloor$ , n is a Natural Number

Integration of floor function.

Showing that $ \left\lfloor \frac{n-1}{2}\right\rfloor +\left\lfloor \frac{n+2}{4}\right\rfloor + \left\lfloor\frac{n+4}{4} \right\rfloor =n$

Summation Closed form for floor$\left(\log_n\right)$

Solutions to $\lfloor x\rfloor\lfloor y\rfloor=x+y$

Series expansion of {x}

Solution of $x-1=(x-\lfloor x \rfloor)(x-\{x\})$

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

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