User joriki

22

41

votes

5

answers

1k

views

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

May 4 at 20:05 robjohn♦ 279k

20

31

votes

2

answers

5k

views

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

linear-algebra abstract-algebra matrices commutative-algebra

Jan 20 at 12:34 darij grinberg 12.8k

7

22

votes

2

answers

752

views

an integer sum of products of tangents

sequences-and-series trigonometry

Jul 22 '12 at 9:15 Community♦ 1

8

21

votes

1

answer

4k

views

A proof of Wolstenholme's theorem

number-theory binomial-coefficients alternative-proof

Jul 23 '13 at 5:44 Community♦ 1

6

16

votes

1

answer

621

views

Arnol'd's trivium problem #68

optimization calculus-of-variations

Jul 4 at 10:04 YuiTo Cheng 3,300

4

16

votes

3

answers

2k

views

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

online-resources

Aug 28 '16 at 13:56 Bjarki Ágúst Guðmundsson 21

6

15

votes

3

answers

394

views

definite and indefinite sums and integrals

soft-question integration summation

Dec 8 '13 at 21:01 Mark S. 13k

2

13

votes

1

answer

413

views

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

probability ordinary-differential-equations markov-chains game-theory

Jun 26 '14 at 13:00 joriki 173k

7

11

votes

0

answers

539

views

At what rate does the entropy of shuffled cards converge?

probability permutations entropy card-games

Mar 5 '16 at 21:03 joriki 173k

10

votes

1

answer

3k

views

variable bounds on definite integrals in Wolfram|Alpha

wolfram-alpha

Jul 13 '11 at 12:24 Andrew 9,817

1

9

votes

1

answer

269

views

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

optimization polyhedra solid-geometry

Jun 13 '15 at 14:32 Community♦ 1

2

9

votes

1

answer

560

views

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

geometric-probability

Jan 19 '13 at 18:34 Community♦ 1

3

8

votes

2

answers

704

views

Generalised inclusion-exclusion principle

combinatorics reference-request inclusion-exclusion

Dec 29 at 13:54 awkward 7,890

3

8

votes

1

answer

188

views

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

probability triangles geometric-probability

Mar 9 '16 at 18:36 Community♦ 1

1

8

votes

1

answer

235

views

A lawn, a flower, a pipe and the neighbours

probability geometric-probability

Dec 1 '13 at 20:46 Community♦ 1

3

8

votes

1

answer

340

views

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

sequences-and-series convergence asymptotics definite-integrals

May 8 '12 at 18:39 Community♦ 1

1

7

votes

0

answers

342

views

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

stochastic-processes integer-partitions random-walk

Dec 26 '11 at 1:26 Community♦ 1

2

6

votes

0

answers

138

views

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

probability triangles geometric-probability

Mar 9 '16 at 18:42 Community♦ 1

6

votes

2

answers

65

views

How to refer to the “sign” of the dependence of events?

probability probability-theory terminology

Sep 12 '15 at 0:23 Mick A 9,140

1

6

votes

1

answer

369

views

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

geometric-probability

Jan 19 '13 at 16:49 Community♦ 1

1

5

votes

1

answer

206

views

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

probability alternative-proof inclusion-exclusion geometric-probability

Jul 25 '18 at 17:35 BGM 3,970

1

5

votes

0

answers

125

views

Coupon collection with trading of doubles

probability combinatorics coupon-collector

Jun 14 '16 at 6:25 joriki 173k

1

5

votes

0

answers

75

views

More elegant derivation of the shift in median bin occupancy

combinatorics asymptotics alternative-proof balls-in-bins

Apr 21 '16 at 11:38 Community♦ 1

5

votes

0

answers

137

views

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

probability probability-distributions roots quadratics alternative-proof

Oct 13 '15 at 7:29 Community♦ 1

4

votes

1

answer

172

views

Is there no proof of Dirichlet's results on quadratic residues without analysis?

number-theory reference-request alternative-proof quadratic-residues dirichlet-series

Jun 28 '16 at 12:14 Community♦ 1

1

3

votes

1

answer

453

views

Mean and variance of the order statistics of a discrete uniform sample without replacement

probability uniform-distribution means order-statistics variance

Jul 5 '16 at 17:31 Community♦ 1

1

3

votes

1

answer

181

views

Expected sum of exponential variables until two of them sum to a threshold

probability expectation conditional-expectation exponential-distribution

Jun 8 '16 at 23:33 Community♦ 1

3

votes

1

answer

124

views

A deadly game of two werewolves and two townsfolk

game-theory

Aug 2 '15 at 22:58 Community♦ 1

2

votes

1

answer

87

views

Combinatorial proof of an identity between restricted counts of permutations and derangements

combinatorics permutations recurrence-relations combinatorial-proofs

Apr 17 '16 at 23:27 Community♦ 1

1

vote

1

answer

241

views

Riesz, Hilbert and Hamel bases

terminology hilbert-spaces hamel-basis

Dec 28 at 18:28 José Carlos Santos 214k

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34 Questions

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

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

an integer sum of products of tangents

A proof of Wolstenholme's theorem

Arnol'd's trivium problem #68

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

definite and indefinite sums and integrals

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

At what rate does the entropy of shuffled cards converge?

variable bounds on definite integrals in Wolfram|Alpha

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

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

Generalised inclusion-exclusion principle

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

A lawn, a flower, a pipe and the neighbours

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

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

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

How to refer to the “sign” of the dependence of events?

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

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

Coupon collection with trading of doubles

More elegant derivation of the shift in median bin occupancy

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

Is there no proof of Dirichlet's results on quadratic residues without analysis?

Mean and variance of the order statistics of a discrete uniform sample without replacement

Expected sum of exponential variables until two of them sum to a threshold

A deadly game of two werewolves and two townsfolk

Combinatorial proof of an identity between restricted counts of permutations and derangements

Riesz, Hilbert and Hamel bases