User Jacob - Mathematics Stack Exchange

37 votes

3 answers

1k views

Interesting representation of $e^x$

asked Apr 7, 2016 at 3:13

12 votes

5 answers

2k views

Finding cubic with golden ratio as root

asked Jun 18, 2015 at 3:30

7 votes

2 answers

331 views

shape created by parabola

asked Oct 9, 2014 at 2:46

6 votes

3 answers

10k views

an object is rolling down a circular curve

asked Jan 27, 2015 at 0:55

6 votes

2 answers

388 views

What is the probability that a 2D symmetric random walk will reach a point $(x,y)$ before returning to the origin?

asked Aug 14, 2022 at 22:13

4 votes

1 answer

99 views

Showing that $\lim_{x\to 0}-\frac{1}{x}+\sum_{j=0}^\infty(2j+1)e^{-j(j+1)x}=\frac{1}{3}$

asked Nov 2, 2021 at 0:39

4 votes

1 answer

171 views

Why do we get two completely different values when we calculate the quadratic Stark effect on the ground state of a hydrogen atom?

asked Nov 6, 2021 at 21:40

3 votes

1 answer

78 views

Action of ambient isotopies on the homology of an embedded $n$-torus in $\mathbb{R}^{n+1}$ and $S^{n+1}$ that bring the $n$-torus back to itself

asked Jan 19, 2022 at 5:36

2 votes

1 answer

31 views

Growth of the least $k$ such that $\sigma^k$ has a fixed point for each $\sigma\in S_n$

asked Apr 10 at 4:50

2 votes

0 answers

41 views

Topological properties of the chord space $C^2(X)$ and it’s generalizations

asked Dec 26, 2021 at 21:22

2 votes

0 answers

133 views

Closed-form for $\sum_{n=2}^{\infty} \frac{1}{\pi (n)^2}$

asked Mar 28, 2016 at 12:56

1 vote

0 answers

35 views

Using the Chern–Gauss–Bonnet theorem to calculate the hypervolume of a spherical simplex

asked Jan 10 at 19:34

0 votes

0 answers

125 views

Counting argument for an alternating sum identity $\sum_{b=0}^{\binom{a}{c}}(-1)^{b+1}f(a,b,c)=(-1)^{a+c}\binom{a-1}{c-1}$

asked Dec 22, 2023 at 4:29

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13 Questions

Interesting representation of $e^x$

Finding cubic with golden ratio as root

shape created by parabola

an object is rolling down a circular curve

What is the probability that a 2D symmetric random walk will reach a point $(x,y)$ before returning to the origin?

Showing that $\lim_{x\to 0}-\frac{1}{x}+\sum_{j=0}^\infty(2j+1)e^{-j(j+1)x}=\frac{1}{3}$

Why do we get two completely different values when we calculate the quadratic Stark effect on the ground state of a hydrogen atom?

Action of ambient isotopies on the homology of an embedded $n$-torus in $\mathbb{R}^{n+1}$ and $S^{n+1}$ that bring the $n$-torus back to itself

Growth of the least $k$ such that $\sigma^k$ has a fixed point for each $\sigma\in S_n$

Topological properties of the chord space $C^2(X)$ and it’s generalizations

Closed-form for $\sum_{n=2}^{\infty} \frac{1}{\pi (n)^2}$

Using the Chern–Gauss–Bonnet theorem to calculate the hypervolume of a spherical simplex

Counting argument for an alternating sum identity $\sum_{b=0}^{\binom{a}{c}}(-1)^{b+1}f(a,b,c)=(-1)^{a+c}\binom{a-1}{c-1}$