User James Propp

51 votes

12 answers

26k views

Is pi a good random number generator?

pr.probability

asked Jun 3, 2010 at 18:12

49 votes

3 answers

10k views

What is the difference between holonomy and monodromy?

asked May 4, 2012 at 0:47

43 votes

0 answers

821 views

Extending a line-arrangement so that the bounded components of its complement are triangles

discrete-geometry plane-geometry hyperplane-arrangements

asked Jan 20, 2014 at 19:45

33 votes

4 answers

3k views

In what rigorous sense are Sperner's Lemma and the Brouwer Fixed Point Theorem equivalent?

co.combinatorics lo.logic gn.general-topology reverse-math

asked May 22, 2013 at 5:08

32 votes

5 answers

10k views

Differentiable functions with discontinuous derivatives

real-analysis differential-equations classical-mechanics applied-mathematics

asked Dec 19, 2013 at 15:18

31 votes

1 answer

1k views

solving linear equations made difficult

reference-request linear-algebra ds.dynamical-systems

asked Jul 17, 2012 at 4:13

31 votes

5 answers

5k views

Where do surreal numbers come from and what do they mean?

surreal-numbers gm.general-mathematics

asked Apr 28, 2011 at 18:31

27 votes

5 answers

2k views

Moments of area of random triangle inscribed in a circle

pr.probability geometric-probability

asked Jul 13, 2018 at 20:47

27 votes

8 answers

1k views

Area-differences for lattice triangles in a checkerboard

co.combinatorics discrete-geometry

asked Mar 4 at 1:56

26 votes

3 answers

4k views

Surreal numbers vs. non-standard analysis

nonstandard-analysis surreal-numbers surreal-analysis

asked Mar 19, 2012 at 18:10

25 votes

14 answers

5k views

What are some examples of "chimeras" in mathematics?

gm.general-mathematics

asked Apr 28, 2011 at 18:34

24 votes

3 answers

848 views

an operation on binary strings

co.combinatorics combinatorics-on-words reference-request

asked Jan 3, 2012 at 18:48

24 votes

2 answers

926 views

Exponential towers of $i$'s

complex-dynamics

asked Apr 29, 2020 at 17:16

23 votes

5 answers

1k views

Illustrating mathematics with wysiwyg tools

soft-question mathematical-writing mathematical-software software

asked Feb 28, 2018 at 17:06

23 votes

4 answers

1k views

Dividing by two in the category of vector spaces

rt.representation-theory linear-algebra group-actions bijective-combinatorics

asked Apr 10, 2015 at 1:42

19 votes

2 answers

2k views

How bogus is the glitzy proof of Borsuk-Ulam?

gn.general-topology

asked Oct 11, 2016 at 21:33

19 votes

2 answers

679 views

Do all subtraction-free identities tropicalize?

ac.commutative-algebra universal-algebra tropical-arithmetic

asked Apr 10, 2013 at 16:23

19 votes

3 answers

708 views

In what ways is the standard Fourier basis optimal?

ca.classical-analysis-and-odes fourier-analysis

asked Jul 23, 2013 at 23:23

19 votes

3 answers

1k views

functions from Q to itself with derivative zero

real-analysis

asked Jul 11, 2012 at 1:30

19 votes

1 answer

577 views

How hard is it to tell when a finite set tiles the integers?

nt.number-theory co.combinatorics computational-complexity discrete-geometry tiling

asked Apr 30, 2017 at 22:42

18 votes

2 answers

3k views

Propositions equivalent to the completeness of the real numbers

real-analysis reverse-math lo.logic

asked Apr 19, 2011 at 21:12

18 votes

2 answers

1k views

Nice sign-expansions of special surreal numbers

ordinal-numbers symbolic-dynamics surreal-numbers

asked Aug 9, 2015 at 2:28

16 votes

2 answers

665 views

Comparing sizes of sets of natural numbers

analytic-number-theory regularization

asked Sep 4, 2016 at 3:59

16 votes

0 answers

1k views

Characterizing the surcomplex numbers

surreal-analysis ct.category-theory combinatorial-game-theory

asked May 3, 2011 at 5:49

16 votes

2 answers

1k views

Formula for volume of $n$-ball for negative $n$

co.combinatorics gamma-function

asked Mar 4, 2020 at 1:12

15 votes

2 answers

1k views

self-avoidance time of random walk

pr.probability random-walks

asked May 5, 2010 at 13:24

15 votes

5 answers

1k views

enumerative meaning of natural q-Catalan numbers

co.combinatorics catalan-numbers q-analogs

asked Apr 4, 2012 at 15:16

15 votes

2 answers

1k views

the use of parentheses to mean "I won't tell you this again"

mathematical-writing

asked Jul 20, 2012 at 19:04

15 votes

1 answer

422 views

Nonperiodic points of homeomorphisms of a ball

gn.general-topology ds.dynamical-systems

asked Dec 19, 2014 at 18:23

14 votes

1 answer

631 views

Is the Ford disk packing optimal?

discrete-geometry circle-packing

asked Feb 9, 2015 at 13:06

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197 Questions

Is pi a good random number generator?

What is the difference between holonomy and monodromy?

Extending a line-arrangement so that the bounded components of its complement are triangles

In what rigorous sense are Sperner's Lemma and the Brouwer Fixed Point Theorem equivalent?

Differentiable functions with discontinuous derivatives

solving linear equations made difficult

Where do surreal numbers come from and what do they mean?

Moments of area of random triangle inscribed in a circle

Area-differences for lattice triangles in a checkerboard

Surreal numbers vs. non-standard analysis

What are some examples of "chimeras" in mathematics?

an operation on binary strings

Exponential towers of $i$'s

Illustrating mathematics with wysiwyg tools

Dividing by two in the category of vector spaces

How bogus is the glitzy proof of Borsuk-Ulam?

Do all subtraction-free identities tropicalize?

In what ways is the standard Fourier basis optimal?

functions from Q to itself with derivative zero

How hard is it to tell when a finite set tiles the integers?

Propositions equivalent to the completeness of the real numbers

Nice sign-expansions of special surreal numbers

Comparing sizes of sets of natural numbers

Characterizing the surcomplex numbers

Formula for volume of $n$-ball for negative $n$

self-avoidance time of random walk

enumerative meaning of natural q-Catalan numbers

the use of parentheses to mean "I won't tell you this again"

Nonperiodic points of homeomorphisms of a ball

Is the Ford disk packing optimal?