List questions from ceiling-and-floor-functions

Published on 04 Apr 2026 - 8:06

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Prove by induction floor and ceiling

Published on 21 Dec 2020 - 2:55

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If $\lceil\frac{x}{3}\rceil < \lceil\frac{y}{3}\rceil$ what can you conclude about $x$ and $y$?

Published on 21 Dec 2020 - 3:56

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How to evaluate the integral: $\int_0^\infty\frac{(-1)^{\lfloor x\rfloor}\sin(2\beta x)}{x}\mathrm dx$?

Published on 24 Dec 2020 - 4:18

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Find the closed-form solution to a integral with the floor function

Published on 25 Dec 2020 - 15:59

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Identity with the floor function

Published on 26 Dec 2020 - 19:38

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Find a closed form for the following integral:

Published on 28 Mar 2026 - 22:26

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Solutions to this non-linear ODE

Published on 27 Dec 2020 - 23:08

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If $\lfloor a-b\rfloor =2$, $\lfloor b-c\rfloor =3$, $\lfloor c-d\rfloor =4$, what is the sum of all possible values of $\lfloor a - d\rfloor?$

Published on 30 Dec 2020 - 13:25

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Computing the definite integral $\int_0^1(-1)^{\left\lfloor\frac1x\right\rfloor}\,\mathrm dx$

Published on 30 Dec 2020 - 20:55

103

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Solving the inequality $0< \lceil \frac{x}{2} \rceil - \lceil \frac{x+1}{3} \rceil$ algebraically

Published on 30 Dec 2020 - 22:14

162

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Solution to recursive sequence involving floor function?

Published on 01 Jan 2021 - 18:14

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express $f$ in the interval $[0, 2]$

Published on 02 Jan 2021 - 19:05

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Inequiality with ceil function

Published on 03 Jan 2021 - 2:49

117

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The convergence of $\int_0^{\infty} \sin(x)(x-[x])/x^{\alpha}$

Published on 27 Mar 2026 - 2:35

List Question

Binomial coefficients and $p$-adic limits

Prove by induction floor and ceiling

If $\lceil\frac{x}{3}\rceil < \lceil\frac{y}{3}\rceil$ what can you conclude about $x$ and $y$?

How to evaluate the integral: $\int_0^\infty\frac{(-1)^{\lfloor x\rfloor}\sin(2\beta x)}{x}\mathrm dx$?

Find the closed-form solution to a integral with the floor function

Identity with the floor function

Find a closed form for the following integral:

Solutions to this non-linear ODE

If $\lfloor a-b\rfloor =2$, $\lfloor b-c\rfloor =3$, $\lfloor c-d\rfloor =4$, what is the sum of all possible values of $\lfloor a - d\rfloor?$

Computing the definite integral $\int_0^1(-1)^{\left\lfloor\frac1x\right\rfloor}\,\mathrm dx$

Solving the inequality $0< \lceil \frac{x}{2} \rceil - \lceil \frac{x+1}{3} \rceil$ algebraically

Solution to recursive sequence involving floor function?

express $f$ in the interval $[0, 2]$

Inequiality with ceil function

The convergence of $\int_0^{\infty} \sin(x)(x-[x])/x^{\alpha}$

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