List questions from ceiling-and-floor-functions

Published on 22 Dec 2017 - 6:17

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Equation involving summation of logarithms

Published on 22 Dec 2017 - 23:06

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Plotting $f(x) = x\lfloor 1/x \rfloor$

Published on 27 Dec 2017 - 18:35

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When is $\sum_{n=1}^{\infty} (-1)^{\lfloor f(n) \rfloor } $ bounded?

Published on 28 Dec 2017 - 0:13

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How can I solve the following problem with floor functions?

Published on 28 Dec 2017 - 19:06

197

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The inequality $\left\lceil\frac{a_1+\dots+a_k}k\right\rceil\le\left\lceil\frac{a_1}k\right\rceil+\dots+\left\lceil\frac{a_k}k\right\rceil$

Published on 29 Dec 2017 - 10:37

217

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Analytical Way of Estimating Sums of Floor Functions

Published on 26 Mar 2026 - 13:01

140

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Prove that if $x \in \mathbb{R_{\ge 0}}$ Then $\left[\sqrt{x}\right]=\left[\sqrt{\left[x\right]}\right]$

Published on 05 Jan 2018 - 18:51

147

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Ceiling problem - Determining n0 for the convergence of 1/n

Published on 06 Jan 2018 - 1:48

1k

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$n$th Term of the sequence $1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,\cdots$

Published on 06 Jan 2018 - 3:41

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Show that sequence of composition of function $f(n) = n + \lfloor{\sqrt{n}}\rfloor$ contains at least one perfect square.

Published on 06 Jan 2018 - 19:17

75

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Problems on integers from the Bernoulli inequality II: primes

Published on 08 Jan 2018 - 10:00

82

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Find number of solutions to $x^2-6x+\left[x\right]+7=0$

Published on 08 Jan 2018 - 16:15

103

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find the limits $\lim_{x\to \infty} \lfloor f(x) \rfloor=? $

Published on 10 Jan 2018 - 18:07

394

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Floor function limit

Published on 10 Jan 2018 - 23:45

List Question

Verifying a Superior Integration Method for Step Functions

Equation involving summation of logarithms

Plotting $f(x) = x\lfloor 1/x \rfloor$

When is $\sum_{n=1}^{\infty} (-1)^{\lfloor f(n) \rfloor } $ bounded?

How can I solve the following problem with floor functions?

The inequality $\left\lceil\frac{a_1+\dots+a_k}k\right\rceil\le\left\lceil\frac{a_1}k\right\rceil+\dots+\left\lceil\frac{a_k}k\right\rceil$

Analytical Way of Estimating Sums of Floor Functions

Prove that if $x \in \mathbb{R_{\ge 0}}$ Then $\left[\sqrt{x}\right]=\left[\sqrt{\left[x\right]}\right]$

Ceiling problem - Determining n0 for the convergence of 1/n

$n$th Term of the sequence $1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,\cdots$

Show that sequence of composition of function $f(n) = n + \lfloor{\sqrt{n}}\rfloor$ contains at least one perfect square.

Problems on integers from the Bernoulli inequality II: primes

Find number of solutions to $x^2-6x+\left[x\right]+7=0$

find the limits $\lim_{x\to \infty} \lfloor f(x) \rfloor=? $

Floor function limit

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