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Veridian Dynamics's user avatar
Veridian Dynamics's user avatar
Veridian Dynamics
  • Member for 6 years, 8 months
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5 votes

Connectedness of a Set between a Set and Its Closure

5 votes
Accepted

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

4 votes

The infinitely bounded definite integral of an odd function

4 votes
Accepted

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

4 votes
Accepted

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

3 votes
Accepted

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

3 votes

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

3 votes

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

3 votes
Accepted

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

3 votes

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

3 votes
Accepted

Comparing Lebesgue integral and Riemann Stieltjes integral

3 votes

Proof using Liouville's Theorem

2 votes

On the equivalence of representations of Fourier series

2 votes
Accepted

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

2 votes
Accepted

Question on $L^2(\mu)$

2 votes
Accepted

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

2 votes

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

2 votes
Accepted

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

2 votes

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

2 votes

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

2 votes
Accepted

Uniqueness Theorem

2 votes

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

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.

2 votes

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

2 votes

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

2 votes
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Support of Probability Measure is Compact

2 votes
Accepted

Proof for Solution set of the matrix equation Ax=b

2 votes
Accepted

Characterize sigma algebra generated by a set

2 votes
Accepted

$L^p$ Convergence

1 vote

Prove the continuity of m (Lebesgue measure)