User Veridian Dynamics

5 votes

Connectedness of a Set between a Set and Its Closure

answered May 3, 2017 at 11:20

5 votes

Accepted

Solving $yy'-2y+A=0$

answered May 15, 2017 at 16:01

4 votes

The infinitely bounded definite integral of an odd function

answered May 3, 2017 at 3:35

4 votes

Accepted

$\|(x, y)\| = \sqrt{ax^2 + bxy + cy^2}$; find conditions on $a, b, c$ for the function being a norm

answered Apr 25, 2017 at 17:03

4 votes

Accepted

Rudin's RCA; Exercise 3.4 Part (b) Only

answered Dec 26, 2017 at 3:39

3 votes

Accepted

Why $\mu(\lim \sup(A_n)) = 0$ if $\sum_{n\geq 1} \mu(A_n)<\infty$?

answered Apr 25, 2017 at 17:32

3 votes

Prove that:$\binom {2n}{n}$=$\sum_{r=0}^n [\binom nr ]^2$

answered Apr 25, 2017 at 2:33

3 votes

Is it true that $\sup_{x \in \mathbb{R}} |f(x)| = \sup_{x \in \mathbb{Q}} |f(x)|$?

answered May 15, 2017 at 18:17

3 votes

Accepted

If $A \in M_{n \times 1} (\mathbb K)$, then $AA^t$ is diagonalizable.

answered Sep 25, 2017 at 21:48

3 votes

$(1+\frac{f(n)}{n})^n\sim\exp(f(n))$?

answered Jan 26, 2017 at 19:25

3 votes

Accepted

Comparing Lebesgue integral and Riemann Stieltjes integral

answered Feb 22, 2017 at 18:26

3 votes

Proof using Liouville's Theorem

answered Mar 15, 2017 at 20:12

2 votes

On the equivalence of representations of Fourier series

answered Mar 15, 2017 at 22:40

2 votes

Accepted

show that $\sum\limits_{k=1}^n (-1)^k\;k!\;S(n,k) = (-1)^n$ using a combinatorial proof

answered Mar 13, 2017 at 1:03

2 votes

Accepted

Question on $L^2(\mu)$

answered Mar 14, 2017 at 15:11

2 votes

Accepted

Help with solving: $\frac{d^2y}{dx^2}=-\frac{(\frac{dy}{dx})^2}{y}$

answered Jan 31, 2017 at 19:38

2 votes

If $f $is differentiable on $[a,b]$ and $f'(a)>0$, can $f$ have a maximum value at $a$?

answered Jan 31, 2017 at 20:01

2 votes

Accepted

Writing the measure of a $\sigma$-finite space as sum over finite measures

answered Jan 26, 2017 at 20:47

2 votes

Is linear span of $\{\sin nt\}$ dense in $L^2((-\pi,\pi))$

answered Jan 24, 2017 at 12:58

2 votes

Evaluate the series $\sum_{n=0}^{\infty} \frac{n^2-1}{n!}\frac{x^n}{n-1}$

answered Jan 20, 2017 at 15:40

2 votes

Accepted

Uniqueness Theorem

answered Jan 25, 2017 at 23:04

2 votes

Prove that particular set in $l^2$ is open in weak topology

answered May 30, 2017 at 21:25

2 votes

Let be $X$ a metric space and $a \in X$. Fix $r > 0$. Show that $\{ x \in X \ ; \ d(x,a) > r \}$ is an open set.

answered May 31, 2017 at 2:35

2 votes

Is it possible to solve $\int \sin^2(\pi t) dt$ without using trig identities? Perhaps by using integration by parts?

answered Jun 13, 2017 at 22:53

2 votes

Prove that $f(x)=x^2$ is uniformly continuous on any bounded interval.

answered May 3, 2017 at 3:51

2 votes

Accepted

Support of Probability Measure is Compact

answered May 3, 2017 at 11:34

2 votes

Accepted

Proof for Solution set of the matrix equation Ax=b

answered Apr 25, 2017 at 20:24

2 votes

Accepted

Characterize sigma algebra generated by a set

answered Jan 13, 2018 at 16:49

2 votes

Accepted

$L^p$ Convergence

answered Oct 7, 2017 at 13:57

1 vote

Prove the continuity of m (Lebesgue measure)

answered Oct 5, 2017 at 20:18

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92 Answers

Connectedness of a Set between a Set and Its Closure

Solving $yy'-2y+A=0$

The infinitely bounded definite integral of an odd function

$\|(x, y)\| = \sqrt{ax^2 + bxy + cy^2}$; find conditions on $a, b, c$ for the function being a norm

Rudin's RCA; Exercise 3.4 Part (b) Only

Why $\mu(\lim \sup(A_n)) = 0$ if $\sum_{n\geq 1} \mu(A_n)<\infty$?

Prove that:$\binom {2n}{n}$=$\sum_{r=0}^n [\binom nr ]^2$

Is it true that $\sup_{x \in \mathbb{R}} |f(x)| = \sup_{x \in \mathbb{Q}} |f(x)|$?

If $A \in M_{n \times 1} (\mathbb K)$, then $AA^t$ is diagonalizable.

$(1+\frac{f(n)}{n})^n\sim\exp(f(n))$?

Comparing Lebesgue integral and Riemann Stieltjes integral

Proof using Liouville's Theorem

On the equivalence of representations of Fourier series

show that $\sum\limits_{k=1}^n (-1)^k\;k!\;S(n,k) = (-1)^n$ using a combinatorial proof

Question on $L^2(\mu)$

Help with solving: $\frac{d^2y}{dx^2}=-\frac{(\frac{dy}{dx})^2}{y}$

If $f $is differentiable on $[a,b]$ and $f'(a)>0$, can $f$ have a maximum value at $a$?

Writing the measure of a $\sigma$-finite space as sum over finite measures

Is linear span of $\{\sin nt\}$ dense in $L^2((-\pi,\pi))$

Evaluate the series $\sum_{n=0}^{\infty} \frac{n^2-1}{n!}\frac{x^n}{n-1}$

Uniqueness Theorem

Prove that particular set in $l^2$ is open in weak topology

Let be $X$ a metric space and $a \in X$. Fix $r > 0$. Show that $\{ x \in X \ ; \ d(x,a) > r \}$ is an open set.

Is it possible to solve $\int \sin^2(\pi t) dt$ without using trig identities? Perhaps by using integration by parts?

Prove that $f(x)=x^2$ is uniformly continuous on any bounded interval.

Support of Probability Measure is Compact

Proof for Solution set of the matrix equation Ax=b

Characterize sigma algebra generated by a set

$L^p$ Convergence

Prove the continuity of m (Lebesgue measure)