User Cauchy's Sequence

20 votes

3 answers

2k views

Why should we expect the connection between complex arithmetic and geometry?

asked Oct 9, 2020 at 8:56

5 votes

1 answer

572 views

Is Theory of ODEs by Coddington and Levinson still a good source for learning ODEs?

asked Aug 2, 2020 at 10:50

5 votes

1 answer

104 views

Strong Law of Large Numbers for increasing index sets

asked Nov 29 at 10:16

4 votes

1 answer

232 views

Constructive proof of Poincaré's inequality on convex domains

asked Jan 23 at 9:34

2 votes

0 answers

22 views

An elementary decomposition of a countably $\mathcal{H}^k$-rectifiable set

asked Sep 18 at 17:31

2 votes

0 answers

67 views

Will the expanding cube look gray?

asked Nov 30 at 9:26

2 votes

0 answers

41 views

Can an atom of a measure be reduced to a single point in a complete separable metric space?

asked Oct 11 at 18:28

2 votes

1 answer

35 views

Regularity of solutions to Poisson's equation on part of the boundary

asked Oct 31 at 8:06

1 vote

0 answers

62 views

Local convergence implies stability for periodic scalar differential equations

asked Jan 23, 2020 at 9:36

1 vote

0 answers

77 views

Asymptotic formula for the $L^2$ norm of a periodic function

asked Oct 8 at 21:54

1 vote

0 answers

35 views

Diffeomorphism of level sets of functions depending on a parameter

asked Mar 4 at 7:26

1 vote

0 answers

80 views

Question regarding the proof of global approximation by smooth functions of Sobolev functions

asked Jun 17, 2022 at 9:53

1 vote

0 answers

79 views

Lusin's theorem without local compactness

asked Jul 14, 2022 at 15:19

1 vote

0 answers

227 views

If a function is analytic at infinity, then its derivative tends to zero.

asked Aug 20, 2020 at 7:45

1 vote

0 answers

23 views

Number of distinct solutions of $P_n(z) = w$ for different values of $w$

asked Aug 21, 2020 at 7:32

1 vote

1 answer

50 views

Covering a countable metric space with finitely many subsets of bounded diameter

asked Oct 17, 2020 at 10:54

1 vote

0 answers

42 views

A question on notation related to BV functions in "Measure Theory and Fine Properties of Functions"

asked Apr 25, 2021 at 8:25

1 vote

0 answers

79 views

Geometrical introduction to Caccioppoli sets

asked May 11, 2021 at 16:17

0 votes

0 answers

43 views

Natural isomorphism between $\tilde{H}_n(Y)$ and $H_n(Y, \{y\})$. [duplicate]

asked Oct 31, 2021 at 18:39

0 votes

0 answers

29 views

Finding prime numbers in intervals bounded by consecutive $c$-powers

asked Aug 5, 2020 at 12:26

0 votes

0 answers

38 views

Relation between the size of the smallest $\varepsilon$-covering of an infinite totally bounded set and its finite subsets

asked Oct 11, 2020 at 18:26

0 votes

1 answer

38 views

Alternative proof that the weak gradient is $0$ a.e. on level sets

asked Jun 29 at 12:07

0 votes

0 answers

40 views

Elliptic regularity in a weird domain

asked Nov 4 at 9:11

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23 Questions

Why should we expect the connection between complex arithmetic and geometry?

Is Theory of ODEs by Coddington and Levinson still a good source for learning ODEs?

Strong Law of Large Numbers for increasing index sets

Constructive proof of Poincaré's inequality on convex domains

An elementary decomposition of a countably $\mathcal{H}^k$-rectifiable set

Will the expanding cube look gray?

Can an atom of a measure be reduced to a single point in a complete separable metric space?

Regularity of solutions to Poisson's equation on part of the boundary

Local convergence implies stability for periodic scalar differential equations

Asymptotic formula for the $L^2$ norm of a periodic function

Diffeomorphism of level sets of functions depending on a parameter

Question regarding the proof of global approximation by smooth functions of Sobolev functions

Lusin's theorem without local compactness

If a function is analytic at infinity, then its derivative tends to zero.

Number of distinct solutions of $P_n(z) = w$ for different values of $w$

Covering a countable metric space with finitely many subsets of bounded diameter

A question on notation related to BV functions in "Measure Theory and Fine Properties of Functions"

Geometrical introduction to Caccioppoli sets

Natural isomorphism between $\tilde{H}_n(Y)$ and $H_n(Y, \{y\})$. [duplicate]

Finding prime numbers in intervals bounded by consecutive $c$-powers

Relation between the size of the smallest $\varepsilon$-covering of an infinite totally bounded set and its finite subsets

Alternative proof that the weak gradient is $0$ a.e. on level sets

Elliptic regularity in a weird domain