User J.G.

101 votes

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What's so special about standard deviation?

answered Jan 12, 2019 at 20:48

65 votes

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How many "super imaginary" numbers are there?

answered Dec 31, 2017 at 20:34

49 votes

An integral for the New Year 2016

answered Dec 31, 2015 at 19:23

48 votes

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Calculating the square root of 2

answered Sep 14, 2018 at 12:17

47 votes

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How to attack "if true, prove it; if not true, give a counterexample" question?

answered Feb 13, 2019 at 15:13

38 votes

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Why doesn't the independence of the continuum hypothesis immediately imply that ZFC is unsatisfactory?

answered Jan 26, 2018 at 14:44

36 votes

Proof for Cauchy-Schwarz inequality for Trace

answered Nov 20, 2018 at 9:28

34 votes

Can any number of squares sum to a square?

answered Dec 7, 2019 at 14:20

32 votes

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Solve this integral for free WiFi

answered Nov 8, 2019 at 21:54

26 votes

Can area of rectangle be greater than the square of its diagonal?

answered Nov 15, 2018 at 17:55

25 votes

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How to show that $\int_{0}^{1}\sqrt{x}\sqrt{1-x}\,\mathrm dx =\frac{\pi}{8}$

answered Dec 31, 2018 at 18:20

24 votes

Is all of mathematics set theory in disguise?

answered Dec 15, 2020 at 22:51

22 votes

What does "surface area of a sphere" actually mean (in terms of elementary school mathematics)?

answered Apr 24, 2020 at 6:57

20 votes

Is Bayes' Theorem really that interesting?

answered Jan 27, 2021 at 16:59

20 votes

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The monster continued fraction

answered Dec 8, 2019 at 8:07

18 votes

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Interesting relation derived from the identity $\sin^2 x + \cos^2 x \equiv 1$

answered Aug 20, 2019 at 20:27

18 votes

Was there ever an axiom rendered a theorem?

answered Apr 8, 2019 at 14:26

18 votes

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UK Lottery Odds Calculation Error

answered Jul 25, 2018 at 17:02

17 votes

What are some of the Websites/web-tools which must be a part of every mathematician's arsenal?

answered Jan 19, 2021 at 15:54

16 votes

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Calculating sum of converging series $\sum_{n=1}^{\infty}\frac{1-n}{9n^3-n}$

answered May 23, 2019 at 20:04

16 votes

Why do we say ‘pairwise disjoint’, rather than ‘disjoint’?

answered Mar 8, 2019 at 15:53

16 votes

Can we express $\pi$ in terms of $\sum_{n=1}^\infty\frac1{n^2}$?

answered May 29, 2018 at 13:49

15 votes

What is a logarithm in the light of group theory?

answered May 4, 2019 at 10:53

15 votes

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Matrix Multiplication not associative when matrices are vectors?

answered Aug 30, 2018 at 18:56

14 votes

Is "today is Presidents' Day" a proposition, propositional function, or neither?

answered Mar 29, 2022 at 18:58

14 votes

Why do the properties of determinants (used to calculate determinants from multiple matrices) apply not only to rows, but to columns as well?

answered Jan 1, 2019 at 20:43

14 votes

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$I=\int \frac{e^{x}+\cos(x)}{e^{x}+\cos(x)+\sin(x)}dx$

answered May 1, 2019 at 16:08

14 votes

Are conjugate vectors unique?

answered Nov 17, 2019 at 18:11

12 votes

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How to solve the following integral $\int_0^{\frac{\pi}{2}}\sqrt[3]{\sin^8x\cos^4x}dx$?

answered Jun 22, 2019 at 20:06

12 votes

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Is $\infty^\infty$ indeterminate?

answered Sep 7, 2019 at 17:28

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4,911 Answers

What's so special about standard deviation?

How many "super imaginary" numbers are there?

An integral for the New Year 2016

Calculating the square root of 2

How to attack "if true, prove it; if not true, give a counterexample" question?

Why doesn't the independence of the continuum hypothesis immediately imply that ZFC is unsatisfactory?

Proof for Cauchy-Schwarz inequality for Trace

Can any number of squares sum to a square?

Solve this integral for free WiFi

Can area of rectangle be greater than the square of its diagonal?

How to show that $\int_{0}^{1}\sqrt{x}\sqrt{1-x}\,\mathrm dx =\frac{\pi}{8}$

Is all of mathematics set theory in disguise?

What does "surface area of a sphere" actually mean (in terms of elementary school mathematics)?

Is Bayes' Theorem really that interesting?

The monster continued fraction

Interesting relation derived from the identity $\sin^2 x + \cos^2 x \equiv 1$

Was there ever an axiom rendered a theorem?

UK Lottery Odds Calculation Error

What are some of the Websites/web-tools which must be a part of every mathematician's arsenal?

Calculating sum of converging series $\sum_{n=1}^{\infty}\frac{1-n}{9n^3-n}$

Why do we say ‘pairwise disjoint’, rather than ‘disjoint’?

Can we express $\pi$ in terms of $\sum_{n=1}^\infty\frac1{n^2}$?

What is a logarithm in the light of group theory?

Matrix Multiplication not associative when matrices are vectors?

Is "today is Presidents' Day" a proposition, propositional function, or neither?

Why do the properties of determinants (used to calculate determinants from multiple matrices) apply not only to rows, but to columns as well?

$I=\int \frac{e^{x}+\cos(x)}{e^{x}+\cos(x)+\sin(x)}dx$

Are conjugate vectors unique?

How to solve the following integral $\int_0^{\frac{\pi}{2}}\sqrt[3]{\sin^8x\cos^4x}dx$?

Is $\infty^\infty$ indeterminate?