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Yuriy S

Member for 7 years, 8 months
Last seen more than a week ago

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389/400 score

142/80 answers

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Answers

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68

Conjectures that have been disproved with extremely large counterexamples?

Aug 4, 2016

34

Why is this trigonometric identity true?

Nov 11, 2016

22

Is there any integral for the Golden Ratio?

Feb 14, 2016

20

Dog bone-shaped curve: $|x|^x=|y|^y$

Feb 17, 2018

20

Number of equations needed to define a rectangle?

Oct 29, 2018

Questions

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121

All real numbers in $[0,2]$ can be represented as $\sqrt{2 \pm \sqrt{2 \pm \sqrt{2 \pm \dots}}}$

Apr 6, 2016

59

Mirror algorithm for computing $\pi$ and $e$ - does it hint on some connection between them?

Feb 21, 2016

56

Crazy pattern in the simple continued fraction for $\sum_{k=1}^\infty \frac{1}{(2^k)!}$

Aug 29, 2016

42

Prove inequality $\arccos \left( \frac{\sin 1-\sin x}{1-x} \right) \leq \sqrt{\frac{1+x+x^2}{3}}$

Aug 25, 2016

41

Prove that $\frac{1}{\phi}<\int_0^\infty \frac{e^{-x}}{\Gamma(x)} dx< \frac{24+\sqrt{2}}{41} $

Jan 17, 2017

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integration

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definite-integrals

300

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184

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calculus

281

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119

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sequences-and-series

207

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166

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134

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10

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Reputation

+20

The other $47$ roots of the minimal polynomial for $\cos 1 ^\circ$

+10

What is $\int_0^1 \ln (1-x) \ln \left(\ln \left(\frac{1}{x}\right)\right) \, dx$?

+10

Is there any integral for the Golden Ratio?

+10

Are there real definite integrals which can only be evaluated by contour integration?

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Nov 21, 2018
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Mar 16, 2020
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Aug 16, 2016

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Jul 26, 2016

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Feb 18, 2021
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Feb 16, 2018

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