User Martin M. W.

99 votes

Accepted

How do pure mathematicians assess whether their research ambitions can be realistically achieved?

answered Jan 2, 2022 at 20:58

72 votes

Accepted

Is $\mathbb{R}^3 \setminus \mathbb{Q}^3$ simply connected?

answered Aug 29, 2015 at 19:55

61 votes

Fundamental Examples

answered Nov 11, 2009 at 13:20

28 votes

Deep learning / Deep neural nets for mathematician

answered Apr 9, 2015 at 23:57

27 votes

Accepted

Examples where Kolmogorov's zero-one law gives probability 0 or 1 but hard to determine which?

answered Oct 27, 2009 at 22:13

25 votes

A clear map of mathematical approaches to Artificial Intelligence

answered Dec 10, 2023 at 22:07

24 votes

Seifert surfaces of torus knots

answered Nov 25, 2009 at 16:13

24 votes

Accepted

How to transition from pure math PhD to nonacademic career?

answered Aug 21, 2010 at 21:03

22 votes

What is the smallest set of real continuous functions generating all rational numbers by iteration?

answered Jan 1, 2022 at 15:15

21 votes

Accepted

How large can you draw an island on a map?

answered Nov 22, 2014 at 21:44

19 votes

Accepted

Are there any interesting connections between Game Theory and Algebraic Topology?

answered Nov 3, 2009 at 21:12

15 votes

Accepted

Definition of a strange attractor.

answered Nov 18, 2009 at 14:32

15 votes

Accepted

Patterns in Generalized Continued Fractions

answered Nov 18, 2009 at 23:19

13 votes

How to construct a topological conjugacy?

answered Apr 3, 2010 at 20:14

12 votes

Accepted

Does the Baker-Campbell-Hausdorff formula hold for vector fields on a (compact) manifold?

answered Mar 19, 2010 at 22:29

11 votes

How to understand a solenoid?

answered Sep 2, 2013 at 17:24

11 votes

Foliation with leaves which are and are not dense

answered Jan 1, 2015 at 12:07

11 votes

Accepted

Is it alright for STD error bars to be below zero?

answered Nov 10, 2009 at 14:12

10 votes

Accepted

Geometric formulation of the subject of machine learning

answered Jul 16, 2023 at 15:21

9 votes

Accepted

A regularity property of transition matrices for the cat map

answered Dec 15, 2009 at 0:02

9 votes

Quantitative versions of ergodic theorem

answered Nov 6, 2009 at 23:40

8 votes

Accepted

What does the Jacobian of a vector field at an equilibrium tell you about local behavior of integral curves when the Jacobian is not a stable?

answered Jul 30, 2023 at 21:16

7 votes

Accepted

Potential connected non-Lie subgroup

answered Oct 29, 2009 at 20:54

7 votes

Accepted

Relation between information geometry and geometric deep learning

answered Dec 19, 2020 at 14:23

6 votes

Dynamical properties of injective continuous functions on $\mathbb{R}^d$

answered Oct 28, 2013 at 0:54

5 votes

Accepted

The Arnold cat map

answered Nov 3, 2009 at 22:05

5 votes

Combinatorial distance ≡ Euclidean distance

answered Dec 18, 2009 at 15:23

5 votes

How to smootly interpolate between möbius transformations?

answered Nov 13, 2009 at 14:52

5 votes

Accepted

Can orientation preserving diffeomorphism in $\mathbb{R}^d$ be presented by flowmap of dynamical systems?

answered Nov 15, 2023 at 13:43

4 votes

Can the Reeb foliation of $S^3$ be realized as stable manifold foliation of a smooth hyperbolic discrete dynamic on $S^3$?

answered Jul 19, 2023 at 23:23

Stack Exchange Network

53 Answers

How do pure mathematicians assess whether their research ambitions can be realistically achieved?

Is $\mathbb{R}^3 \setminus \mathbb{Q}^3$ simply connected?

Fundamental Examples

Deep learning / Deep neural nets for mathematician

Examples where Kolmogorov's zero-one law gives probability 0 or 1 but hard to determine which?

A clear map of mathematical approaches to Artificial Intelligence

Seifert surfaces of torus knots

How to transition from pure math PhD to nonacademic career?

What is the smallest set of real continuous functions generating all rational numbers by iteration?

How large can you draw an island on a map?

Are there any interesting connections between Game Theory and Algebraic Topology?

Definition of a strange attractor.

Patterns in Generalized Continued Fractions

How to construct a topological conjugacy?

Does the Baker-Campbell-Hausdorff formula hold for vector fields on a (compact) manifold?

How to understand a solenoid?

Foliation with leaves which are and are not dense

Is it alright for STD error bars to be below zero?

Geometric formulation of the subject of machine learning

A regularity property of transition matrices for the cat map

Quantitative versions of ergodic theorem

What does the Jacobian of a vector field at an equilibrium tell you about local behavior of integral curves when the Jacobian is not a stable?

Potential connected non-Lie subgroup

Relation between information geometry and geometric deep learning

Dynamical properties of injective continuous functions on $\mathbb{R}^d$

The Arnold cat map

Combinatorial distance ≡ Euclidean distance

How to smootly interpolate between möbius transformations?

Can orientation preserving diffeomorphism in $\mathbb{R}^d$ be presented by flowmap of dynamical systems?

Can the Reeb foliation of $S^3$ be realized as stable manifold foliation of a smooth hyperbolic discrete dynamic on $S^3$?