User Ester

40 votes

2 answers

49k views

Relation between rank and number of distinct eigenvalues of a matrix

asked May 19, 2012 at 4:26

16 votes

3 answers

10k views

Sufficient condition for convergence of a real sequence [duplicate]

asked Jul 21, 2012 at 12:18

15 votes

3 answers

582 views

Limit of $(x_n)$ with $0<x_1<1$ and $x_{n + 1} = x_n - x_n^{n + 1}$

asked Aug 24, 2012 at 12:56

14 votes

4 answers

578 views

Constant functions

asked May 19, 2012 at 3:19

9 votes

4 answers

2k views

Determinant of a Special Symmetric Matrix

asked May 10, 2014 at 19:06

8 votes

1 answer

3k views

Measurable Cauchy Function is Continuous [duplicate]

asked Apr 12, 2013 at 6:01

8 votes

3 answers

4k views

Symmetric Matrix as the Difference of Two Positive Definite Symmetric Matrices

asked May 20, 2012 at 13:55

7 votes

2 answers

253 views

Relation between Continuity and Uniform Continuity

asked Sep 6, 2012 at 12:06

7 votes

4 answers

2k views

Why does the tail $a_N+a_{N+1}+a_{N+2}\ldots$ of convergent series $\sum a_n$ tend to $0$ as $N\to\infty$?

asked Sep 7, 2012 at 21:14

7 votes

4 answers

2k views

Closed set in $\mathbb{R}^n$ is closure of some countable subset

asked Sep 8, 2012 at 9:13

7 votes

2 answers

304 views

Completeness and Topological Equivalence

asked Sep 9, 2012 at 12:55

7 votes

2 answers

1k views

Continuous extension of a function

asked Jul 23, 2013 at 6:51

7 votes

3 answers

525 views

Path Connectedness of a Set

asked Aug 24, 2013 at 19:03

7 votes

1 answer

2k views

Irreducible Representation by Restriction

asked Nov 10, 2015 at 15:59

6 votes

2 answers

997 views

Why locally compact hausdorff space

asked Jul 12, 2014 at 12:11

6 votes

5 answers

209 views

Existence of Limit of a Sequence in $\mathbb{R}$

asked Sep 11, 2012 at 17:04

6 votes

1 answer

451 views

Infinitely times differentiable function

asked Nov 8, 2012 at 20:32

6 votes

1 answer

551 views

Riemann Integration Problem

asked May 23, 2012 at 14:13

5 votes

2 answers

2k views

Spectrum of a block matrix

asked Nov 3, 2012 at 11:29

4 votes

2 answers

360 views

Symmetric matrix with $a_{ij} = 0$ for all $|i - j| > 1$ has all eigenvalues of multiplicity $1$

asked Oct 17, 2012 at 20:14

4 votes

1 answer

605 views

The determinant of a block Matrix of Order $2n$

asked Aug 31, 2012 at 18:54

4 votes

1 answer

384 views

If $\sum\frac{a_n}{b_n}$ and $\sum\frac{a_n^2}{b_n^2}$ both converge then $\sum\frac{a_n}{a_n + b_n}$ converges

asked Sep 1, 2012 at 12:57

4 votes

1 answer

3k views

Completeness of continuous real valued functions with compact support

asked Apr 1, 2012 at 7:29

4 votes

1 answer

472 views

Subgroups of $\Bbb Z_5 \times \Bbb Z_5$

asked Jul 10, 2012 at 2:43

4 votes

1 answer

295 views

Counterexample using counting measure

asked Sep 10, 2013 at 21:26

4 votes

2 answers

813 views

Product of positive definite matrices

asked Dec 5, 2012 at 15:08

4 votes

2 answers

7k views

Norm of a Block Matrix

asked Aug 20, 2015 at 15:58

4 votes

2 answers

49 views

Topological Group Structure on a Subset of $\mathbb R$

asked Oct 12, 2014 at 20:46

4 votes

1 answer

418 views

Radon- Nikodym Theorem For von Neumann algebras

asked Jul 27, 2015 at 14:23

4 votes

1 answer

67 views

Extension of elements of Spectrum

asked Jul 9, 2018 at 11:38

Stack Exchange Network

139 Questions

Relation between rank and number of distinct eigenvalues of a matrix

Sufficient condition for convergence of a real sequence [duplicate]

Limit of $(x_n)$ with $0<x_1<1$ and $x_{n + 1} = x_n - x_n^{n + 1}$

Constant functions

Determinant of a Special Symmetric Matrix

Measurable Cauchy Function is Continuous [duplicate]

Symmetric Matrix as the Difference of Two Positive Definite Symmetric Matrices

Relation between Continuity and Uniform Continuity

Why does the tail $a_N+a_{N+1}+a_{N+2}\ldots$ of convergent series $\sum a_n$ tend to $0$ as $N\to\infty$?

Closed set in $\mathbb{R}^n$ is closure of some countable subset

Completeness and Topological Equivalence

Continuous extension of a function

Path Connectedness of a Set

Irreducible Representation by Restriction

Why locally compact hausdorff space

Existence of Limit of a Sequence in $\mathbb{R}$

Infinitely times differentiable function

Riemann Integration Problem

Spectrum of a block matrix

Symmetric matrix with $a_{ij} = 0$ for all $|i - j| > 1$ has all eigenvalues of multiplicity $1$

The determinant of a block Matrix of Order $2n$

If $\sum\frac{a_n}{b_n}$ and $\sum\frac{a_n^2}{b_n^2}$ both converge then $\sum\frac{a_n}{a_n + b_n}$ converges

Completeness of continuous real valued functions with compact support

Subgroups of $\Bbb Z_5 \times \Bbb Z_5$

Counterexample using counting measure

Product of positive definite matrices

Norm of a Block Matrix

Topological Group Structure on a Subset of $\mathbb R$

Radon- Nikodym Theorem For von Neumann algebras

Extension of elements of Spectrum