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 116 · Answer 1 · 2026-03-31 02:06:23

116

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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 31 Mar 2026 - 2:06

score 234 · Answer 2 · 2026-03-30 17:48:26

234

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

Published on 30 Mar 2026 - 17:48

score 71 · Answer 3 · 2026-03-31 15:18:58

71

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

Published on 31 Mar 2026 - 15:18

score 202 · Answer 4 · 2026-04-10 19:42:12

202

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Definite integral on fractional part

Published on 10 Apr 2026 - 19:42

score 189 · Answer 5 · 2026-04-10 07:42:17

189

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

Published on 10 Apr 2026 - 7:42

score 133 · Answer 6 · 2026-03-31 02:49:41

133

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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 31 Mar 2026 - 2:49

score 152 · Answer 7 · 2026-03-31 10:00:11

152

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Double integral involving fractional part

Published on 31 Mar 2026 - 10:00

score 121 · Answer 8 · 2026-03-30 17:56:20

121

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

Published on 30 Mar 2026 - 17:56

score 191 · Answer 9 · 2026-05-02 23:53:57

191

Views

Integral involving the fractional part function

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score 105 · Answer 10 · 2026-03-25 07:43:41

105

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Trigonometric integral involving the fractional part

Published on 25 Mar 2026 - 7:43

score 1.2k · Answer 11 · 2026-04-26 13:03:08

1.2k

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

Published on 26 Apr 2026 - 13:03

score 270 · Answer 12 · 2026-03-25 07:42:03

270

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

Published on 25 Mar 2026 - 7:42

score 165 · Answer 13 · 2026-04-10 12:32:49

165

Views

Fractional part distribution

Published on 10 Apr 2026 - 12:32

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

204

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On the logarithm of the fractional part Integral

Published on 25 Mar 2026 - 6:05

score 536 · Answer 15 · 2026-03-25 07:45:39

536

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

Published on 25 Mar 2026 - 7:45

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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