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Integral
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19 votes
2 answers
1k views

Proofs from the "Ugly Book"

11 votes
1 answer
425 views

Showing that $\Omega$ is of class $C^1$

11 votes
4 answers
3k views

Convergence in measure - product

10 votes
3 answers
2k views

Fatou's Lemma and Counting Measure

10 votes
2 answers
2k views

Measure - exercise 22 from Folland

10 votes
2 answers
1k views

Problem 3.24 of "Brownian Motion & Stochastic Processes" by Karatzas and Shreve - Submartingales and stopping times

10 votes
1 answer
1k views

Tensor product and linear dependence of vectors

9 votes
2 answers
17k views

Solving for upper limit of integration, given a lower limit and integrand

9 votes
2 answers
3k views

Eigenvalues of a Random Matrix

8 votes
2 answers
711 views

Sequences of sets property

8 votes
1 answer
2k views

Empirical Distribution Function Understanding

7 votes
0 answers
448 views

Theorem about convex sets

6 votes
1 answer
4k views

$\log^2 (x^2) + \log (x-1) = 0$

6 votes
1 answer
1k views

$R$ is a unique factorization domain $\iff$ every prime minimal over a principal ideal is also principal

6 votes
3 answers
180 views

Solve $2^n=k^2+k+2$ for positive integers

6 votes
1 answer
303 views

Field Extensions Problem - From Paolo Aluffi's Book

6 votes
1 answer
265 views

Lower bound to a complicated integral over the sphere and a interval

6 votes
1 answer
145 views

Basic formality when considering random numbers

5 votes
1 answer
398 views

Explicit formula for higher order derivatives in higher dimensions

5 votes
0 answers
403 views

Upper bound for $\|A^{-1}\|_F$

5 votes
1 answer
825 views

Fubini-Study metric with respect to a specific coordinate system

5 votes
1 answer
205 views

Number of intersections of $n-2$ dimensional spheres inside $S^{n-1}$

5 votes
2 answers
2k views

A question about Euclidean Domain

5 votes
2 answers
1k views

Finding surface area of a cone

5 votes
1 answer
292 views

Question with inner product

5 votes
1 answer
822 views

Positive semidefinite matrix problem

5 votes
0 answers
344 views

Weak and Probability convergences

5 votes
1 answer
154 views

Measure Theory Conjecture

5 votes
1 answer
261 views

Difficult to prove $\lim_ {n \to \infty} x_n - \liminf y_n = \limsup (x_n - y_n)$

5 votes
1 answer
66 views

Proving that $\det(A)R^n \subset\mathrm{Im}(\Phi)$