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joriki
  • Member for 11 years, 6 months
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45 votes
5 answers
2k views

How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?

35 votes
2 answers
7k views

necessary and sufficient condition for trivial kernel of a matrix over a commutative ring

25 votes
1 answer
6k views

A proof of Wolstenholme's theorem

22 votes
2 answers
858 views

an integer sum of products of tangents

18 votes
5 answers
2k views

Generalised inclusion-exclusion principle

17 votes
1 answer
760 views

At what rate does the entropy of shuffled cards converge?

16 votes
2 answers
791 views

Arnol'd's trivium problem #68

16 votes
3 answers
2k views

What's up with Plouffe's inverter? Is there an alternative?

15 votes
3 answers
608 views

definite and indefinite sums and integrals

13 votes
1 answer
447 views

Can we qualitatively predict the strategy of the German and US teams in today's World Cup soccer match?

13 votes
2 answers
258 views

Why are all subset sizes equiprobable if elements are independently included with probability uniform over $[0,1]$?

12 votes
4 answers
379 views

The case of the missing ninth of a $2$€ coin

12 votes
2 answers
355 views

Why do the triangular numbers initially form long cycles mod $2^k$?

12 votes
2 answers
565 views

Does the Riemann hypothesis guarantee that integer factorization is difficult?

10 votes
1 answer
3k views

variable bounds on definite integrals in Wolfram|Alpha

10 votes
1 answer
374 views

What is the minimal isoperimetric ratio of a polyhedron with $5$ vertices?

9 votes
1 answer
394 views

expansion of $\int_0^\infty\left(\frac{\sin t}t\right)^p\mathrm dt$ in inverse powers of $p$

9 votes
1 answer
754 views

How is the number of points in the convex hull of five random points distributed?

8 votes
1 answer
254 views

A lawn, a flower, a pipe and the neighbours

8 votes
1 answer
218 views

Probability that one part of a randomly cut equilateral triangle covers the other

7 votes
0 answers
363 views

Is there a connection between the 3D random walk constant and the partition function?

6 votes
1 answer
476 views

What's the probability for two points to lie on the same side of the line joining two other points?

6 votes
2 answers
115 views

How to refer to the "sign" of the dependence of events?

6 votes
0 answers
156 views

Probability that one part of a randomly cut equilateral triangle covers the other without flipping

6 votes
0 answers
177 views

Coupon collection with trading of doubles

6 votes
2 answers
713 views

Probability that a stick randomly broken in three places can form a triangle

6 votes
1 answer
117 views

Succinct proof that $\frac\pi4+\frac\pi6+\log2\gt2$

6 votes
1 answer
160 views

What is the expected volume of the simplex formed by $n+1$ points independently uniformly distributed on $\mathbb S^{n-1}$?

5 votes
0 answers
100 views

More elegant derivation of the shift in median bin occupancy

5 votes
0 answers
176 views

Symmetric proof for the probability of real roots of a quadratic with exponentially distributed parameters