User Enrico M. - Mathematics Stack Exchange

357 votes

8 answers

56k views

Calculating the length of the paper on a toilet paper roll

asked Jan 30, 2016 at 22:00

208 votes

7 answers

16k views

How could we define the factorial of a matrix?

asked Jan 31, 2016 at 13:56

171 votes

45 answers

18k views

Is there any integral for the Golden Ratio?

asked Feb 14, 2016 at 2:57

31 votes

9 answers

6k views

Is $1+1 = 2$ true in any base?

asked Aug 18, 2016 at 18:45

15 votes

3 answers

778 views

How to prove the result of this definite integral?

asked Mar 12, 2016 at 19:39

11 votes

3 answers

235 views

Mental $n-$th root of $N$

asked Mar 25, 2016 at 19:35

11 votes

3 answers

5k views

The "inverse" of $\nabla\times$ operator

asked Dec 2, 2015 at 12:57

11 votes

1 answer

520 views

Is there a rapider or more elegant way to evaluate $\int_0^{+\infty} \frac{\cos(\pi x)\ \text{d}x}{e^{2\pi \sqrt{x}}-1}$?

asked Apr 1, 2018 at 10:35

8 votes

1 answer

656 views

Integral representation for Fibonacci's numbers

asked Dec 1, 2015 at 0:55

7 votes

2 answers

372 views

A definite integral that surely needs contour integration: $\int_0^{\infty} \frac{1}{x^2 + a^2}\cos\left(\frac{x(x^2 - b^2)}{x^2 - c^2}\right)\, dx$

asked Mar 6, 2016 at 22:40

6 votes

0 answers

179 views

A closed form for the following Series

asked Feb 6, 2016 at 23:40

6 votes

5 answers

1k views

Help in evaluating $\displaystyle\int\ \cos^2\Big(\arctan\big(\sin\left(\text{arccot}(x)\right)\big)\Big)\ \text{d}x$

asked Sep 14, 2016 at 20:32

5 votes

1 answer

362 views

Conjecture over an integral

asked Oct 6, 2017 at 10:10

5 votes

3 answers

5k views

Taylor Series in Fractional Calculus

asked Jan 30, 2016 at 15:05

5 votes

0 answers

124 views

Asymptotics or methods for this integral

asked Jan 30, 2021 at 20:11

4 votes

2 answers

177 views

A quirky proof for a limit of an integral

asked Feb 27, 2018 at 10:39

4 votes

1 answer

150 views

Conjecture over this series, and its generalisation

asked Mar 15, 2018 at 10:07

4 votes

2 answers

2k views

The angle between two clock pointers

asked Mar 23, 2016 at 20:55

4 votes

2 answers

7k views

What is the derivative of $|f(x)|^n$

asked Sep 3, 2016 at 23:40

4 votes

1 answer

563 views

The "generator" of Taylor Series

asked Nov 19, 2017 at 20:02

4 votes

1 answer

224 views

May someone of you provide me (if possible) an expression for the F.T. of $\tan(x)$?

asked Feb 14, 2018 at 14:24

3 votes

2 answers

216 views

A problem on combinatorics, boxes and dispositions

asked Jan 3, 2018 at 17:22

3 votes

3 answers

195 views

How to prove the result of this integration? [closed]

asked Oct 21, 2016 at 22:18

3 votes

1 answer

1k views

Problem with Heat Equation and Laplace Transform

asked Nov 21, 2016 at 13:52

3 votes

1 answer

443 views

Differential equation: $\ddot{y}(x) + \alpha\dot{y}^2(x) + \beta y(x) = 0$

asked Feb 9, 2016 at 23:11

3 votes

2 answers

1k views

The meaning of a Series VS Integral

asked Mar 22, 2016 at 12:26

3 votes

0 answers

96 views

Same values for Gamma Function

asked Jan 18, 2016 at 23:43

3 votes

1 answer

318 views

An integral arising from Kepler's problem $\frac{1}{2\pi}\int_0^{2\pi}\ \frac{\sin^2\theta\ \text{d}\theta}{(1 + \epsilon\cos\theta)^2}$

asked Jan 24, 2016 at 15:48

3 votes

0 answers

92 views

Fourier transform problem

asked Nov 21, 2015 at 18:24

3 votes

1 answer

284 views

Definite Gamma function integral

asked Mar 26, 2018 at 10:04

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97 Questions

Calculating the length of the paper on a toilet paper roll

How could we define the factorial of a matrix?

Is there any integral for the Golden Ratio?

Is $1+1 = 2$ true in any base?

How to prove the result of this definite integral?

Mental $n-$th root of $N$

The "inverse" of $\nabla\times$ operator

Is there a rapider or more elegant way to evaluate $\int_0^{+\infty} \frac{\cos(\pi x)\ \text{d}x}{e^{2\pi \sqrt{x}}-1}$?

Integral representation for Fibonacci's numbers

A definite integral that surely needs contour integration: $\int_0^{\infty} \frac{1}{x^2 + a^2}\cos\left(\frac{x(x^2 - b^2)}{x^2 - c^2}\right)\, dx$

A closed form for the following Series

Help in evaluating $\displaystyle\int\ \cos^2\Big(\arctan\big(\sin\left(\text{arccot}(x)\right)\big)\Big)\ \text{d}x$

Conjecture over an integral

Taylor Series in Fractional Calculus

Asymptotics or methods for this integral

A quirky proof for a limit of an integral

Conjecture over this series, and its generalisation

The angle between two clock pointers

What is the derivative of $|f(x)|^n$

The "generator" of Taylor Series

May someone of you provide me (if possible) an expression for the F.T. of $\tan(x)$?

A problem on combinatorics, boxes and dispositions

How to prove the result of this integration? [closed]

Problem with Heat Equation and Laplace Transform

Differential equation: $\ddot{y}(x) + \alpha\dot{y}^2(x) + \beta y(x) = 0$

The meaning of a Series VS Integral

Same values for Gamma Function

An integral arising from Kepler's problem $\frac{1}{2\pi}\int_0^{2\pi}\ \frac{\sin^2\theta\ \text{d}\theta}{(1 + \epsilon\cos\theta)^2}$

Fourier transform problem

Definite Gamma function integral