User Quý Nhân Đặng Hoàng - Mathematics Stack Exchange

9 votes

4 answers

555 views

Minimize $\frac{1}{2}\sum_{k=1}^m (x_{k+1}-x_{k})^2$

asked Feb 20 at 7:17

7 votes

2 answers

847 views

Catalan constant's integral representation

asked Aug 8, 2021 at 6:53

6 votes

1 answer

104 views

Minimize travel time of a group of people with a motorbike

asked Jul 5 at 8:56

5 votes

0 answers

175 views

(Dis)Proving $\lim_{x\to\infty}\frac1{x^s}\int_0^xt^{s-1}f(\sin t)dt=\frac1{2\pi s}\int_0^{2\pi}f(\sin t)dt$, for $s>0$ and $f$ defined on $[-1,1]$

asked Feb 7, 2023 at 6:46

3 votes

1 answer

189 views

When to apply l'Hôpital rule?

asked Sep 8, 2021 at 4:00

3 votes

1 answer

94 views

New identities involving infinite summation of trigonometric functions?

asked Jul 28, 2021 at 3:50

2 votes

0 answers

148 views

Conjecturing a general formula to solve limit-integral questions

asked Feb 9, 2023 at 6:48

1 vote

1 answer

159 views

Method for solving "Iterated" functional equation

asked Jan 8, 2023 at 0:02

1 vote

0 answers

41 views

(Im)possibility of closed-form expression of Clausen functions

asked Jun 30 at 5:21

0 votes

1 answer

122 views

Combinatorial proof for formulas involving partitioning a multiset into 2 equal sums

asked Jan 3, 2022 at 7:21

0 votes

0 answers

60 views

What is the name of the Boolean function $f(x_1,...,x_n)=\prod_{k=1}^{n}(1-x_k)$?

asked Mar 26, 2023 at 0:00

0 votes

0 answers

76 views

Cycle criteria of fractional linear functions

asked Feb 14 at 13:04

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12 Questions

Minimize $\frac{1}{2}\sum_{k=1}^m (x_{k+1}-x_{k})^2$

Catalan constant's integral representation

Minimize travel time of a group of people with a motorbike

(Dis)Proving $\lim_{x\to\infty}\frac1{x^s}\int_0^xt^{s-1}f(\sin t)dt=\frac1{2\pi s}\int_0^{2\pi}f(\sin t)dt$, for $s>0$ and $f$ defined on $[-1,1]$

When to apply l'Hôpital rule?

New identities involving infinite summation of trigonometric functions?

Conjecturing a general formula to solve limit-integral questions

Method for solving "Iterated" functional equation

(Im)possibility of closed-form expression of Clausen functions

Combinatorial proof for formulas involving partitioning a multiset into 2 equal sums

What is the name of the Boolean function $f(x_1,...,x_n)=\prod_{k=1}^{n}(1-x_k)$?

Cycle criteria of fractional linear functions