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WoolierThanThou's user avatar
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WoolierThanThou
  • Member for 4 years, 11 months
  • Last seen this week
17 votes
Accepted

Is there a theorem in Real analysis similar to Cauchy's theorem in Complex analysis?

12 votes
Accepted

Can a curve fill a disk?

10 votes

Is a sigma-algebra just a special kind of algebra?

10 votes

Why vacuously true and not vacuously false?

9 votes

In probabilistic questions with "real life" context, why can we ignore defining the sample space?

8 votes

Difficulties with reading "informal" and "non-rigorous" sections when studying Algebraic topology

8 votes
Accepted

Why Riemann integral is not direction invariant

7 votes

Is the notation $\int_{\Bbb R}$ equivalent to $\int_{-\infty}^\infty$?

7 votes

Transforming a Gaussian r.v. into an exponential/Laplace

7 votes
Accepted

Finding the joint probability density function of two independent random variables

6 votes
Accepted

Why does $\lim\limits_{ s \to 0} sB_{\frac{1}{s}}=0$ a.s.?

6 votes
Accepted

$a_n\rightarrow a, f(a_n)\rightarrow b$ imply $f(a)=b$?

5 votes
Accepted

Are sigma-finite measures and boundedly finite measure the same on a separable space?

5 votes
Accepted

Prove $\frac{X_n}{n} \to 0$ almost surely when $E|X_n| < \infty$

5 votes
Accepted

Infinite dimensional vector space has almost complex structure if and only if it is 'even-dimensional'?

5 votes
Accepted

Analytically, how is $\int_0^{\infty} t^{-1}e^{-t} \geq \frac{1}{e} \int_0^1 \frac{dt}{t}$?

5 votes

$n$-sphere is simply connected

5 votes

Axiom of choice and Proofs

5 votes
Accepted

Closed graph theorem and equivalence of norms in $C[0,1]$

5 votes
Accepted

Does the double integral $\int_1^\infty \int_0^x \frac{1}{x^3+y^3} \,dy \,dx$ converge or diverge?

5 votes
Accepted

Law of the Unconscious Statistician Notation

5 votes
Accepted

Closures of compactly supported functions for different topologies

5 votes
Accepted

Why do characters of groups have modulus $1$?

5 votes
Accepted

Suppose $\{A_i | i ∈ I\}$ is an indexed family of sets and $I \neq \emptyset$. Prove that $\bigcap_{i\in I}A_i\in\bigcap_{i\in I}\mathscr P(A_i)$.

5 votes

A differentiable function on Euclidean Space compatible with scalar multiplication is a linear map

5 votes

Showing that Ito's integral of deterministic function follows a normal distribution

4 votes

Prove that the norm of X is invariant given that X is the solution to a first order differential equation, i.e. X' = AX

4 votes
Accepted

Existence of $L^1((0,1))$ functions which blow up on every open interval

4 votes
Accepted

How is the inequality $\|B_n(f)\|_{\infty} \leq \|f\|_{\infty}$ correct?

4 votes
Accepted

About metric space

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