User Learning Math

11 votes

2 answers

3k views

How to prove that the Cantor ternary function is not weakly differentiable?

asked May 25, 2011 at 16:44

8 votes

1 answer

3k views

Precise definition of conformal structure based on a Riemannian metric on a Riemann surface

asked Apr 6, 2012 at 17:09

7 votes

1 answer

749 views

Conformal automorphism of $H^n$

asked Jun 19, 2012 at 19:23

7 votes

1 answer

2k views

Hyperbolic metric on the torus?

asked Mar 13, 2011 at 4:06

7 votes

0 answers

1k views

Taylor expansion of Riemannian exponential map and Jacobi fields?

asked Jun 2, 2015 at 11:29

6 votes

2 answers

360 views

Two hyperbolic surfaces corresponding to conjugate Fuchsian groups are isometric

asked Feb 11, 2011 at 17:02

6 votes

2 answers

128 views

How can we compute this quantity, constructed using motivation from Vandermonde's identity?

asked Feb 1, 2021 at 15:26

5 votes

1 answer

1k views

Existence of minimizing geodesic in each fixed-end-point homotopy class in a complete manifold?

asked Mar 8, 2013 at 20:00

5 votes

2 answers

513 views

Boundedness of the norm of the Riemann curvature tensor

asked Jun 25, 2015 at 18:55

5 votes

1 answer

687 views

Flow of a left invariant vector field on a Lie group equipped with left-invariant metric and the group's geodesics

asked May 13, 2015 at 19:47

4 votes

0 answers

225 views

Concentration (or two sided tail bounds around expectations) of maximum and minimum of $n$ iid, subgaussian random variables

asked May 7, 2020 at 13:00

4 votes

1 answer

2k views

Derivative of exponential maps in Lie group $G$ and the adjoint operator on its Lie algebra

asked May 5, 2015 at 18:04

4 votes

0 answers

174 views

Question regarding the projective models of the anti-de-Sitter spaces and good online references for learning them from the scratch? (Specifics below)

asked Jun 2, 2013 at 11:44

4 votes

1 answer

206 views

Is the following set (path) connected?

asked Mar 19, 2015 at 21:59

4 votes

0 answers

479 views

PDF and CDF of the ratio of the max to min of an iid random sample: a quick check of the calculation!

asked Sep 4, 2020 at 15:12

4 votes

0 answers

122 views

Examples and characterizations of totally geodesic maps

asked Aug 3 at 18:15

3 votes

1 answer

733 views

If $U$ is uniformly distributed on $S^{d-1} \subset \mathbb{R}^d$, what's the distribution of its orthogonal projection onto any vector?

asked Jul 23, 2020 at 7:26

3 votes

1 answer

862 views

Relation between parallel vector field along a geodesic and Jacobi field along that same geodesic

asked Apr 27, 2015 at 22:26

3 votes

1 answer

350 views

Poisson integral on $\mathbb{H}$ for boundary data which is orientation-preserving homeomorphism of $\mathbb{R}$

asked Oct 7, 2012 at 0:28

3 votes

4 answers

2k views

What is a reference for the ( classical and well-known ) proof of Weyl's lemma?

asked May 24, 2011 at 20:27

3 votes

2 answers

308 views

What is topologically the set of all straight lines in $\mathbb{R}^d$? More structures on it?

asked Aug 16, 2015 at 13:30

3 votes

2 answers

888 views

Expression for Lipschitz constant for the $L^p$ norm function on $\mathbb R^n$

asked May 30, 2020 at 20:40

3 votes

0 answers

546 views

Is it a (minor) typo in the proof of Roman Vershynin's "High dimensional probability with application to data science" (linked), Theorem 3.1.1

asked Mar 22, 2020 at 1:49

3 votes

1 answer

218 views

Possible to have $m$-dimensional $C^k$ embedded submanifold in $\mathbb{R}^p$ with canonical projections onto $m$ dimensions are of dim $<m$ a.e.?

asked Feb 24, 2020 at 12:11

3 votes

1 answer

212 views

Does my proof show that the sequence of measures defined using mollifiers with shrinking support converges weakly to the Dirac measure?

asked Jan 27, 2020 at 14:42

3 votes

0 answers

32 views

Is any $m$-dimensional strict vector subspeace (so $m<p$) a rotational image of the Euclidean subspace $\mathbb{R}^m$?

asked Feb 14, 2020 at 23:07

3 votes

1 answer

68 views

Value of the limit without (or with, but giving rigorous arguments) using the Taylor expansion of sin

asked Nov 11, 2015 at 0:28

2 votes

1 answer

41 views

Positive functions which doesn't get multiplied too fast/doesn't grow too fast

asked Jan 10, 2020 at 14:54

2 votes

1 answer

169 views

How to define the expectation and covariance of a random variable taking values in an inner product space?

asked Feb 14, 2020 at 23:37

2 votes

0 answers

58 views

Possible application of Laws of Large Numbers and Central Limit Theorem to SVD of dual covariance matrices

asked Mar 9, 2020 at 14:44

Stack Exchange Network

113 Questions

How to prove that the Cantor ternary function is not weakly differentiable?

Precise definition of conformal structure based on a Riemannian metric on a Riemann surface

Conformal automorphism of $H^n$

Hyperbolic metric on the torus?

Taylor expansion of Riemannian exponential map and Jacobi fields?

Two hyperbolic surfaces corresponding to conjugate Fuchsian groups are isometric

How can we compute this quantity, constructed using motivation from Vandermonde's identity?

Existence of minimizing geodesic in each fixed-end-point homotopy class in a complete manifold?

Boundedness of the norm of the Riemann curvature tensor

Flow of a left invariant vector field on a Lie group equipped with left-invariant metric and the group's geodesics

Concentration (or two sided tail bounds around expectations) of maximum and minimum of $n$ iid, subgaussian random variables

Derivative of exponential maps in Lie group $G$ and the adjoint operator on its Lie algebra

Question regarding the projective models of the anti-de-Sitter spaces and good online references for learning them from the scratch? (Specifics below)

Is the following set (path) connected?

PDF and CDF of the ratio of the max to min of an iid random sample: a quick check of the calculation!

Examples and characterizations of totally geodesic maps

If $U$ is uniformly distributed on $S^{d-1} \subset \mathbb{R}^d$, what's the distribution of its orthogonal projection onto any vector?

Relation between parallel vector field along a geodesic and Jacobi field along that same geodesic

Poisson integral on $\mathbb{H}$ for boundary data which is orientation-preserving homeomorphism of $\mathbb{R}$

What is a reference for the ( classical and well-known ) proof of Weyl's lemma?

What is topologically the set of all straight lines in $\mathbb{R}^d$? More structures on it?

Expression for Lipschitz constant for the $L^p$ norm function on $\mathbb R^n$

Is it a (minor) typo in the proof of Roman Vershynin's "High dimensional probability with application to data science" (linked), Theorem 3.1.1

Possible to have $m$-dimensional $C^k$ embedded submanifold in $\mathbb{R}^p$ with canonical projections onto $m$ dimensions are of dim $<m$ a.e.?

Does my proof show that the sequence of measures defined using mollifiers with shrinking support converges weakly to the Dirac measure?

Is any $m$-dimensional strict vector subspeace (so $m<p$) a rotational image of the Euclidean subspace $\mathbb{R}^m$?

Value of the limit without (or with, but giving rigorous arguments) using the Taylor expansion of sin

Positive functions which doesn't get multiplied too fast/doesn't grow too fast

How to define the expectation and covariance of a random variable taking values in an inner product space?

Possible application of Laws of Large Numbers and Central Limit Theorem to SVD of dual covariance matrices