User Martin M. W.

94 votes

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

soft-question

answered Jan 2 at 20:58

67 votes

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

answered Aug 29, 2015 at 19:55

60 votes

Fundamental Examples

examples soft-question big-picture big-list ho.history-overview

answered Nov 11, 2009 at 13:20

26 votes

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

examples pr.probability

answered Oct 27, 2009 at 22:13

26 votes

Deep learning / Deep neural nets for mathematician

reference-request stochastic-processes markov-chains applications applied-mathematics

answered Apr 9, 2015 at 23:57

24 votes

Seifert surfaces of torus knots

gt.geometric-topology knot-theory seifert-surfaces

answered Nov 25, 2009 at 16:13

23 votes

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How to transition from pure math PhD to nonacademic career?

soft-question career advice

answered Aug 21, 2010 at 21:03

21 votes

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How large can you draw an island on a map?

dg.differential-geometry mg.metric-geometry riemannian-geometry euclidean-geometry conformal-geometry

answered Nov 22, 2014 at 21:44

21 votes

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

real-analysis continued-fractions continuity rational-functions

answered Jan 1 at 15:15

18 votes

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

game-theory combinatorial-game-theory at.algebraic-topology ag.algebraic-geometry

answered Nov 3, 2009 at 21:12

15 votes

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Definition of a strange attractor.

ds.dynamical-systems

answered Nov 18, 2009 at 14:32

15 votes

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Patterns in Generalized Continued Fractions

nt.number-theory

answered Nov 18, 2009 at 23:19

11 votes

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

st.statistics mathematical-writing exposition

answered Nov 10, 2009 at 14:12

11 votes

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

dg.differential-geometry sg.symplectic-geometry

answered Mar 19, 2010 at 22:29

11 votes

Foliation with leaves which are and are not dense

gn.general-topology foliations surfaces

answered Jan 1, 2015 at 12:07

11 votes

How to understand a solenoid?

ra.rings-and-algebras ds.dynamical-systems

answered Sep 2, 2013 at 17:24

10 votes

How to construct a topological conjugacy?

ds.dynamical-systems

answered Apr 3, 2010 at 20:14

9 votes

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A regularity property of transition matrices for the cat map

ds.dynamical-systems symbolic-dynamics ergodic-theory

answered Dec 15, 2009 at 0:02

9 votes

Quantitative versions of ergodic theorem

ds.dynamical-systems ergodic-theory

answered Nov 6, 2009 at 23:40

7 votes

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Potential connected non-Lie subgroup

gn.general-topology topological-groups

answered Oct 29, 2009 at 20:54

6 votes

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

fa.functional-analysis ca.classical-analysis-and-odes gn.general-topology ds.dynamical-systems

answered Oct 28, 2013 at 0:54

5 votes

Combinatorial distance ≡ Euclidean distance

discrete-geometry convex-polytopes mg.metric-geometry

answered Dec 18, 2009 at 15:23

5 votes

How to smootly interpolate between möbius transformations?

mg.metric-geometry hyperbolic-geometry

answered Nov 13, 2009 at 14:52

4 votes

Searching global minima fast?

oc.optimization-and-control

answered Nov 22, 2009 at 13:39

4 votes

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The Arnold cat map

ds.dynamical-systems ergodic-theory

answered Nov 3, 2009 at 22:05

4 votes

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Force-directed graph drawing in 1D?

graph-theory mathematical-software

answered Jul 9, 2013 at 22:19

4 votes

Global stability for dynamical systems in $R^n$

ds.dynamical-systems

answered May 18, 2010 at 23:44

3 votes

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what kind of probability distribution can be used to model numeral-noun combinations?

pr.probability

answered May 9, 2010 at 13:13

3 votes

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Is there a similar theorem in the partially hyperbolic case?

ds.dynamical-systems ergodic-theory hyperbolic-dynamics partial-hyperbolicity

answered Jan 10, 2014 at 2:40

3 votes

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Planar flow with bounded orbits and a single equilibrium point

ds.dynamical-systems differential-equations flows

answered Apr 5, 2021 at 22:18

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44 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

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

Deep learning / Deep neural nets for mathematician

Seifert surfaces of torus knots

How to transition from pure math PhD to nonacademic career?

How large can you draw an island on a map?

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

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

Definition of a strange attractor.

Patterns in Generalized Continued Fractions

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

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

Foliation with leaves which are and are not dense

How to understand a solenoid?

How to construct a topological conjugacy?

A regularity property of transition matrices for the cat map

Quantitative versions of ergodic theorem

Potential connected non-Lie subgroup

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

Combinatorial distance ≡ Euclidean distance

How to smootly interpolate between möbius transformations?

Searching global minima fast?

The Arnold cat map

Force-directed graph drawing in 1D?

Global stability for dynamical systems in $R^n$

what kind of probability distribution can be used to model numeral-noun combinations?

Is there a similar theorem in the partially hyperbolic case?

Planar flow with bounded orbits and a single equilibrium point