User Good Boy

5 votes

Accepted

Minimal number of balls in a cover of a compact set

answered May 24, 2020 at 17:42

5 votes

If two topologies have the same continuous automorphisms, must they be equal?

answered Jan 16, 2021 at 20:17

4 votes

Showing $E(X^n) = n!a$ using induction.

answered Dec 11, 2020 at 1:14

4 votes

Prove that $S^n/$~$_1$ $\cong RP^n$, where ~$_1$ means identify antipodal points.

answered Aug 15, 2020 at 14:53

4 votes

Accepted

Suppose that $f(x) \to\ell$ as $x\to a$ and $g(y) \to k$ as $y \to\ell$. Does it follow that $g(f(x)) \to k$ as $x \to a$?

answered Aug 3, 2020 at 11:29

3 votes

How to find if a sequence is converging or diverging?

answered Nov 30, 2020 at 22:12

3 votes

Accepted

Poincaré-Bendixson theorem in $\mathbb{R}^1$

answered Jul 7, 2020 at 16:17

3 votes

Functional equations [Sample paper of Indian Mathematical Olympiad]

answered Aug 8, 2019 at 18:15

3 votes

Accepted

$\delta$- hausdorff measure of open ball

answered May 9, 2021 at 15:27

2 votes

Accepted

Equilibrium and asymptotically stable equilibrium

answered May 23, 2021 at 16:38

2 votes

Folland 1.17: The intersection of any set with a sequence of measurable set implies additivity.

answered Feb 2, 2021 at 17:47

2 votes

Accepted

Limits of an increasing function

answered Dec 11, 2020 at 12:21

2 votes

Prove this set is closed.

answered Dec 17, 2020 at 11:23

2 votes

Are two proofs better than one?

answered Aug 8, 2019 at 18:35

2 votes

The coefficients of a product of monic polynomials are $0$ and $1$; if the polynomials' coefficients are non-negative, must they also be $0$ and $1$?

answered Aug 16, 2019 at 16:31

2 votes

Accepted

Completing the proof using strong induction for $E = \bigcap_{n=1}^\infty E_n $

answered Jul 11, 2020 at 12:39

2 votes

Accepted

Induced Bernoulli measures

answered Oct 19, 2020 at 12:25

2 votes

Can a non-constant analytic function satisfy this particular condition

answered Oct 17, 2020 at 17:03

2 votes

What will be the value of 'b'?

answered Oct 19, 2020 at 12:50

1 vote

Accepted

Metric entropy for $\beta$-transformation $x\mapsto \beta x\pmod 1$.

answered Oct 22, 2020 at 13:29

1 vote

Convexity of a rational function

answered Dec 6, 2021 at 14:15

1 vote

Limiting behavior of coins on a finite graph with flips activated by a full neighborhood

answered Oct 20, 2020 at 18:09

1 vote

My proof about $\text{sup}(AB) = \text{inf}(A) \text{inf}(B)$ for real negative nonempty sets $A,B$

answered Oct 29, 2020 at 13:00

1 vote

Accepted

Why can the map between fundamental groups be extended to the whole polygon?

answered Dec 11, 2020 at 0:43

1 vote

Prove that $ f(1)\leq f(x)<f(0)$ and another conjecture .

answered Aug 15, 2020 at 18:21

1 vote

Accepted

Prove the full expansion of $(1+x)(1+x^2)\cdot\cdot\cdot(1+x^{2^n})$

answered Aug 21, 2020 at 9:19

1 vote

Converting a definition to a limit form

answered Sep 6, 2020 at 14:18

1 vote

True/False - Are these sets and sequences open sets or closed sets?

answered Sep 5, 2019 at 17:23

1 vote

How to label the events in a probability problem?

answered Jun 18, 2018 at 11:45

1 vote

Constructing a positive sequence

answered Aug 16, 2019 at 14:34

Stack Exchange Network

52 Answers

Minimal number of balls in a cover of a compact set

If two topologies have the same continuous automorphisms, must they be equal?

Showing $E(X^n) = n!a$ using induction.

Prove that $S^n/$~$_1$ $\cong RP^n$, where ~$_1$ means identify antipodal points.

Suppose that $f(x) \to\ell$ as $x\to a$ and $g(y) \to k$ as $y \to\ell$. Does it follow that $g(f(x)) \to k$ as $x \to a$?

How to find if a sequence is converging or diverging?

Poincaré-Bendixson theorem in $\mathbb{R}^1$

Functional equations [Sample paper of Indian Mathematical Olympiad]

$\delta$- hausdorff measure of open ball

Equilibrium and asymptotically stable equilibrium

Folland 1.17: The intersection of any set with a sequence of measurable set implies additivity.

Limits of an increasing function

Prove this set is closed.

Are two proofs better than one?

The coefficients of a product of monic polynomials are $0$ and $1$; if the polynomials' coefficients are non-negative, must they also be $0$ and $1$?

Completing the proof using strong induction for $E = \bigcap_{n=1}^\infty E_n $

Induced Bernoulli measures

Can a non-constant analytic function satisfy this particular condition

What will be the value of 'b'?

Metric entropy for $\beta$-transformation $x\mapsto \beta x\pmod 1$.

Convexity of a rational function

Limiting behavior of coins on a finite graph with flips activated by a full neighborhood

My proof about $\text{sup}(AB) = \text{inf}(A) \text{inf}(B)$ for real negative nonempty sets $A,B$

Why can the map between fundamental groups be extended to the whole polygon?

Prove that $ f(1)\leq f(x)<f(0)$ and another conjecture .

Prove the full expansion of $(1+x)(1+x^2)\cdot\cdot\cdot(1+x^{2^n})$

Converting a definition to a limit form

True/False - Are these sets and sequences open sets or closed sets?

How to label the events in a probability problem?

Constructing a positive sequence