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hxllearnmath
  • Member for 1 year, 8 months
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3 votes
1 answer
66 views

Show that the set $\lbrace F(x) = \displaystyle\int_0^x f(t)dt | f \in M\rbrace$ is sequentially compact.

2 votes
0 answers
67 views

How to compute $\sum\limits_{k=0}^\infty \dfrac{\lambda^{2k}}{(k!)^2}$ [duplicate]

2 votes
0 answers
74 views

General proof of Brouwer's Fixed Point theorem

1 vote
1 answer
82 views

Prove $\lim\limits_{k\to \infty} f_k(x) =f(x)$ a.e. $x \in \mathbb{R}^d$.

1 vote
1 answer
157 views

Show that $f^2\in L([0,1]).$

1 vote
0 answers
51 views

Prove that, for $a <b$, $\sup_{x \in [a,b]}|F_n(x) - F(x)| \to 0, \quad n\to \infty $

1 vote
0 answers
25 views

Is it true that $E_j = \lbrace x\in E: \sup\limits_{k\geq j} |f_k(x)| \geq \epsilon \rbrace$

1 vote
0 answers
22 views

Image of $\Omega$ under a random variable is atmost countable [duplicate]

1 vote
1 answer
67 views

Conditional distribution of $X$ given $Y$

1 vote
0 answers
59 views

Find a formula for the power series $H(z) = \displaystyle\sum\limits_{n=0}^\infty H_n z^n$. [duplicate]

1 vote
1 answer
95 views

Find an explicit expression for $\sum_{n=0}^\infty \frac{1}{(z^2+1)^n}$

1 vote
2 answers
193 views

Show that there exists a unique solution $x(t) \in C([0,1])$ using contraction mapping.

1 vote
1 answer
157 views

Regress $X_1$ on $X_2$ through $X_K$

1 vote
0 answers
56 views

Evaluate $\displaystyle \int_0^\infty \left(\dfrac{\sin x}{x} \right)^m dx$ [duplicate]

0 votes
0 answers
67 views

Evaluate $\displaystyle \int_0^\infty \dfrac{dx}{(x^4+2ax^2+1)^m} $

0 votes
0 answers
93 views

Show that $(C^1([-1,1]),\|\cdot\|_{C^1})$ is not complete.

0 votes
0 answers
29 views

Discuss the convergence of the series $\sum\limits_{n=1}^\infty \dfrac{n(-1)^n(z-i)^n}{4^n(n^2+1)^{5/2}}$

0 votes
2 answers
35 views

Prove that Lebesgue integral $\displaystyle \int^\infty_0 \dfrac{f(x)}{x} dx < \infty$

0 votes
0 answers
93 views

Logistic ODE with negative initial condition

0 votes
1 answer
78 views

Fitted $1/x$ by a linear combination of $e^x, \sin(x)$ and gamma function $\Gamma(x)$.

0 votes
0 answers
21 views

Some reference for Stokes flow

-1 votes
1 answer
162 views

$\tan^2\left(\dfrac{\pi}{16} \right)+\tan^2\left(\dfrac{3\pi}{16} \right)+\tan^2\left(\dfrac{5\pi}{16} \right)+\tan^2\left(\dfrac{7\pi}{16} \right)$ [closed]