Question

Double integral over fractional part of Einstein-like velocity sum $\int_0^1 \int_0^1 \{\frac{u+v}{1-u v}\} \,dudv$

score 114 · Answer 1 · 2018-09-06 16:14:45

114

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Double integral over fractional part of Einstein-like velocity sum $\int_0^1 \int_0^1 \{\frac{u+v}{1-u v}\} \,dudv$

Published on 06 Sep 2018 - 16:14

score 232 · Answer 2 · 2018-09-07 13:45:27

232

Views

PDF of random variable containing fractional part $x=\{1/r\}$

Published on 07 Sep 2018 - 13:45

score 69 · Answer 3 · 2018-09-15 18:34:25

69

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Functional equation $f(a)·f(b)=\Bigl\lbrace\frac{1}{ab}\Bigr\rbrace$

Published on 15 Sep 2018 - 18:34

score 198 · Answer 4 · 2018-09-17 19:24:30

198

Views

Definite integral on fractional part

Published on 17 Sep 2018 - 19:24

score 187 · Answer 5 · 2026-03-25 04:43:37

187

Views

How to get the fractional part of a product of large numbers with machine precision?

Published on 25 Mar 2026 - 4:43

score 131 · Answer 6 · 2018-09-30 07:58:09

131

Views

Proving that $\left\{ \frac{sm}{p} \right\} < \left\{ \frac{sn}{p} \right\} < \frac{s}{p}$ if and only if $s\not\mid p-1$

Published on 30 Sep 2018 - 7:58

score 149 · Answer 7 · 2018-10-05 19:56:17

149

Views

Double integral involving fractional part

Published on 05 Oct 2018 - 19:56

score 118 · Answer 8 · 2018-10-14 17:55:40

118

Views

The functional equation $f(-x+b)=f(x)$

Published on 14 Oct 2018 - 17:55

score 181 · Answer 9 · 2026-03-22 04:21:28

181

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Integral involving the fractional part function

Published on 22 Mar 2026 - 4:21

score 104 · Answer 10 · 2018-11-20 18:17:39

104

Views

Trigonometric integral involving the fractional part

Published on 20 Nov 2018 - 18:17

score 1.1k · Answer 11 · 2026-03-24 17:31:45

1.1k

Views

Sum of $\{n\sqrt{2}\}$

Published on 24 Mar 2026 - 17:31

score 269 · Answer 12 · 2018-11-28 05:07:47

269

Views

Evaluating $\liminf_{n\to\infty}n\{n\sqrt2\}$

Published on 28 Nov 2018 - 5:07

score 162 · Answer 13 · 2018-12-06 15:02:48

162

Views

Fractional part distribution

Published on 06 Dec 2018 - 15:02

score 204 · Answer 14 · 2026-03-25 06:05:36

204

Views

On the logarithm of the fractional part Integral

Published on 25 Mar 2026 - 6:05

score 535 · Answer 15 · 2018-12-27 15:13:13

535

Views

If $\lim_{x\to c^-}${$\ln x$} and $\lim_{x\to c^+}${$\ln x$} exists finitely but they are not equal

Published on 27 Dec 2018 - 15:13

List Question

Double integral over fractional part of Einstein-like velocity sum $\int_0^1 \int_0^1 \{\frac{u+v}{1-u v}\} \,dudv$

PDF of random variable containing fractional part $x=\{1/r\}$

Functional equation $f(a)·f(b)=\Bigl\lbrace\frac{1}{ab}\Bigr\rbrace$

Definite integral on fractional part

How to get the fractional part of a product of large numbers with machine precision?

Proving that $\left\{ \frac{sm}{p} \right\} < \left\{ \frac{sn}{p} \right\} < \frac{s}{p}$ if and only if $s\not\mid p-1$

Double integral involving fractional part

The functional equation $f(-x+b)=f(x)$

Integral involving the fractional part function

Trigonometric integral involving the fractional part

Sum of $\{n\sqrt{2}\}$

Evaluating $\liminf_{n\to\infty}n\{n\sqrt2\}$

Fractional part distribution

On the logarithm of the fractional part Integral

If $\lim_{x\to c^-}${$\ln x$} and $\lim_{x\to c^+}${$\ln x$} exists finitely but they are not equal

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