List questions from fractional-part

Published on 05 Dec 2016 - 7:47

78

Views

Points of discontinuity of $\sum_{n=1}^\infty\frac{\left\{n x \right\}}{n^4}$

Published on 11 Dec 2016 - 10:26

77

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Density function for ${frac(\frac{N}{i})}_{i=1}^{i=N}$ in the limit $N \to \infty$

Published on 22 Dec 2016 - 12:38

105

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Prove that $\lfloor x + y + z \rfloor = \lfloor x + y \rfloor + \lfloor z + \langle y + x \rangle \rfloor$

Published on 03 Jan 2017 - 21:15

198

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Evaluating $\lim_{ x \to+ \infty }\left[\frac{[x]}{x}\right]$ and $\lim_{ x \to- \infty }\left[\frac{[x]}{x}\right]$

Published on 11 Jan 2017 - 22:27

430

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The fractional part of $n\log(n)$

Published on 23 Jan 2017 - 8:54

160

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Show that the sequence $H_n - \lfloor H_n \rfloor$ is not convergent

Published on 03 Feb 2017 - 13:49

591

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Is $1$ a limit point of the fractional part of $1.5^n$?

Published on 04 Feb 2017 - 8:01

96

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There exists infinitely many $N$ such that $\{\sum_{n=2}^N\log(n)\}<\varepsilon$

Published on 05 Mar 2017 - 14:06

116

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Is there a name for the reciprocal of the fractional part of a number?

Published on 19 Mar 2017 - 11:57

104

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Problem with inequality and number e

Published on 20 Mar 2017 - 16:03

37

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Explanation about the transformation

Published on 23 Mar 2017 - 13:31

85

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By using the Beta-Gamma functions relation and the semigroup property of the volterra fractional integral operator

Published on 23 Mar 2017 - 19:54

355

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Finding out the range of $g(x)=\sin x + \cos x$

Published on 31 Mar 2017 - 6:17

60

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What is the measure of this set?

Published on 03 Feb 2023 - 17:45

List Question

average of $\{n\alpha \}$, where $\alpha$ irrational

Points of discontinuity of $\sum_{n=1}^\infty\frac{\left\{n x \right\}}{n^4}$

Density function for ${frac(\frac{N}{i})}_{i=1}^{i=N}$ in the limit $N \to \infty$

Prove that $\lfloor x + y + z \rfloor = \lfloor x + y \rfloor + \lfloor z + \langle y + x \rangle \rfloor$

Evaluating $\lim_{ x \to+ \infty }\left[\frac{[x]}{x}\right]$ and $\lim_{ x \to- \infty }\left[\frac{[x]}{x}\right]$

The fractional part of $n\log(n)$

Show that the sequence $H_n - \lfloor H_n \rfloor$ is not convergent

Is $1$ a limit point of the fractional part of $1.5^n$?

There exists infinitely many $N$ such that $\{\sum_{n=2}^N\log(n)\}<\varepsilon$

Is there a name for the reciprocal of the fractional part of a number?

Problem with inequality and number e

Explanation about the transformation

By using the Beta-Gamma functions relation and the semigroup property of the volterra fractional integral operator

Finding out the range of $g(x)=\sin x + \cos x$

What is the measure of this set?

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