List questions from ceiling-and-floor-functions

Published on 13 Dec 2014 - 14:58

198

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Proving a limit of a trigonometric function: $\lim_{x \to 2/\pi}\lfloor \sin \frac{1}{x} \rfloor=0$

Published on 14 Dec 2014 - 19:28

181

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Prove that $\lim_{x \to \frac{2}{\pi}}\lfloor \sin \frac{1}{x} \rfloor=0$ in the $\epsilon$-$\delta$ way

Published on 14 Dec 2014 - 22:42

2k

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Expressing n mod m in terms of floor values?

Published on 25 Mar 2026 - 12:24

3.7k

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Calculating integral of step function

Published on 16 Dec 2014 - 1:53

144

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How many numbers less than $x$ have a prime factor that is not $2$ or $3$

Published on 16 Dec 2014 - 2:52

41

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Rounding half-integers to approximate product

Published on 18 Dec 2014 - 18:52

4.4k

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Proof, that the floor and ceiling functions exist

Published on 21 Dec 2014 - 17:43

494

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How to compute the integral $ \int_0^\pi \lfloor\cot (x)\rfloor dx $

Published on 26 Dec 2014 - 12:25

61

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For which constants $a$ function is continuous

Published on 27 Dec 2014 - 14:13

3.1k

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Definite integral of ceiling function

Published on 28 Dec 2014 - 17:42

727

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Is it possible to define $\lceil x\rceil$ in terms of $\lfloor\ldots\rfloor$?

Published on 28 Dec 2014 - 21:16

187

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what value series $\sum_{r=1}^\infty\frac{\lfloor rp \rfloor}{2^r}$ converges?

Published on 30 Dec 2014 - 5:19

101

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Why are these two floor sequences equal?

Published on 31 Dec 2014 - 18:48

35

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Matrix entries using a single function

Published on 02 Jan 2015 - 14:56

List Question

How do I solve floor function integral equation?

Proving a limit of a trigonometric function: $\lim_{x \to 2/\pi}\lfloor \sin \frac{1}{x} \rfloor=0$

Prove that $\lim_{x \to \frac{2}{\pi}}\lfloor \sin \frac{1}{x} \rfloor=0$ in the $\epsilon$-$\delta$ way

Expressing n mod m in terms of floor values?

Calculating integral of step function

How many numbers less than $x$ have a prime factor that is not $2$ or $3$

Rounding half-integers to approximate product

Proof, that the floor and ceiling functions exist

How to compute the integral $ \int_0^\pi \lfloor\cot (x)\rfloor dx $

For which constants $a$ function is continuous

Definite integral of ceiling function

Is it possible to define $\lceil x\rceil$ in terms of $\lfloor\ldots\rfloor$?

what value series $\sum_{r=1}^\infty\frac{\lfloor rp \rfloor}{2^r}$ converges?

Why are these two floor sequences equal?

Matrix entries using a single function

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