List questions from ceiling-and-floor-functions

Published on 06 Jan 2017 - 10:11

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How can I solve this comparsion between sums?

Published on 06 Jan 2017 - 21:35

347

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Solve floor equation over real numbers: $\lfloor x \rfloor + \lfloor -x \rfloor = \lfloor \log x \rfloor$

Published on 07 Jan 2017 - 9:16

35

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Graphing $f(g(x))$ and $h(x)$

Published on 27 Mar 2026 - 19:52

970

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A combinatorial identity with binomial coefficients and floor function.

Published on 07 Jan 2017 - 15:09

448

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Floor function and inequality

Published on 08 Jan 2017 - 0:32

129

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convergence of $\sum_{n=1}^{\infty }\frac{(-1)^{[\sqrt{n}]}}{n}$ where $[a]$ means floor function of $a$

Published on 08 Jan 2017 - 14:47

213

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Explicit definition of a sequence

Published on 27 Mar 2026 - 18:16

110

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Find $\max_{i \in \mathbb{N}} a_i$ where $a_i = \left\lfloor \frac{10^{i+1}}{7}\right\rfloor-100\left\lfloor\frac{10^{i-1}}{7}\right\rfloor$

Published on 11 Jan 2017 - 3:15

286

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Recurrance with ceiling

Published on 11 Jan 2017 - 18:56

3.1k

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Floor function in complex plane

Published on 13 Jan 2017 - 2:39

150

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Solve floor equation

Published on 13 Jan 2017 - 16:45

135

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Limit $\lim\limits_{a \to 0}( a\lfloor\frac{x}{a}\rfloor)$

Published on 14 Jan 2017 - 3:56

204

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Problem with floor function and sequence $a_{n+1}= \lfloor a_n \rfloor \{ a_n \}$

Published on 14 Jan 2017 - 16:06

24

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Prove $\lfloor{(p+1+a)/b}\rfloor<1+\lfloor{(1+a+b)/p}\rfloor$ is true, $a$ odd, $p$ prime, $a=\lfloor{p/3}\rfloor$ & $b=\lceil{(2/3)p}\rceil$

Published on 14 Jan 2017 - 20:51

List Question

Global and local minimum of $f(x)$

How can I solve this comparsion between sums?

Solve floor equation over real numbers: $\lfloor x \rfloor + \lfloor -x \rfloor = \lfloor \log x \rfloor$

Graphing $f(g(x))$ and $h(x)$

A combinatorial identity with binomial coefficients and floor function.

Floor function and inequality

convergence of $\sum_{n=1}^{\infty }\frac{(-1)^{[\sqrt{n}]}}{n}$ where $[a]$ means floor function of $a$

Explicit definition of a sequence

Find $\max_{i \in \mathbb{N}} a_i$ where $a_i = \left\lfloor \frac{10^{i+1}}{7}\right\rfloor-100\left\lfloor\frac{10^{i-1}}{7}\right\rfloor$

Recurrance with ceiling

Floor function in complex plane

Solve floor equation

Limit $\lim\limits_{a \to 0}( a\lfloor\frac{x}{a}\rfloor)$

Problem with floor function and sequence $a_{n+1}= \lfloor a_n \rfloor \{ a_n \}$

Prove $\lfloor{(p+1+a)/b}\rfloor<1+\lfloor{(1+a+b)/p}\rfloor$ is true, $a$ odd, $p$ prime, $a=\lfloor{p/3}\rfloor$ & $b=\lceil{(2/3)p}\rceil$

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