User Dick Palais

53 votes

5 answers

5k views

Does this formula have a rigorous meaning, or is it merely formal?

asked Feb 2, 2011 at 18:42

37 votes

5 answers

5k views

When are the eigenspaces of the Laplacian on a compact homogeneous space irreducible representations?

asked Nov 21, 2010 at 7:40

32 votes

5 answers

6k views

What is a good method to find random points on the n-sphere when n is large?

asked Jul 10, 2013 at 19:05

28 votes

4 answers

3k views

When are two symplectic forms "isotopic"?

asked Aug 2, 2010 at 10:21

27 votes

2 answers

3k views

Euler Characteristic of a manifold with non-vanishing vector field,

asked Sep 11, 2010 at 17:17

21 votes

1 answer

1k views

If $f:R^n \to R$ is a smooth real-valued function such that $\nabla f : R^n \to R^n$ is a diffeomorphism, what can one conclude about the behavior of $f(x)$ at infinity?

asked Dec 4, 2010 at 6:28

18 votes

1 answer

875 views

What sort of models did Bolyai and Lobachevsky use to demonstrate the consistency of their models of non-Euclidean Geometry?

asked May 11, 2015 at 23:41

18 votes

2 answers

1k views

Is there a name for sets for which it is easier to test membership than to find members---and vice versa?

asked Oct 14, 2010 at 21:47

17 votes

1 answer

505 views

Is a smooth action of a semi-simple Lie group linearizable near a stationary point?

asked Dec 3, 2010 at 19:45

14 votes

1 answer

604 views

A Canonical Form Theorem for $n$-forms?

asked May 30, 2013 at 4:37

12 votes

5 answers

2k views

Is this formulation of the Singular Value Decomposition standard?

asked Oct 24, 2010 at 18:11

9 votes

5 answers

922 views

Are these two definitions of "uniformly distributed" equivalent?

asked May 18, 2011 at 0:43

5 votes

1 answer

190 views

Algorithm for finding inverse images of a local diffeomorphism

asked Aug 22, 2013 at 21:23

4 votes

1 answer

478 views

Invariant measures for $1$-dimensional discrete dynamical systems

asked Sep 12, 2010 at 21:58

3 votes

3 answers

348 views

Reference wanted for application of Parametric Transversality

asked Apr 30, 2012 at 6:54

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15 Questions

Does this formula have a rigorous meaning, or is it merely formal?

When are the eigenspaces of the Laplacian on a compact homogeneous space irreducible representations?

What is a good method to find random points on the n-sphere when n is large?

When are two symplectic forms "isotopic"?

Euler Characteristic of a manifold with non-vanishing vector field,

If $f:R^n \to R$ is a smooth real-valued function such that $\nabla f : R^n \to R^n$ is a diffeomorphism, what can one conclude about the behavior of $f(x)$ at infinity?

What sort of models did Bolyai and Lobachevsky use to demonstrate the consistency of their models of non-Euclidean Geometry?

Is there a name for sets for which it is easier to test membership than to find members---and vice versa?

Is a smooth action of a semi-simple Lie group linearizable near a stationary point?

A Canonical Form Theorem for $n$-forms?

Is this formulation of the Singular Value Decomposition standard?

Are these two definitions of "uniformly distributed" equivalent?

Algorithm for finding inverse images of a local diffeomorphism

Invariant measures for $1$-dimensional discrete dynamical systems

Reference wanted for application of Parametric Transversality