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27 votes
3 answers
9k views

Probability and measure theory

16 votes
5 answers
4k views

Kolmogorov's probability axioms

14 votes
7 answers
13k views

Maximize the value of $v^{T}Av$

14 votes
1 answer
5k views

Inverse image of composite function

12 votes
1 answer
2k views

Can I derive the formula for expected value of continuous random variables from the discrete case?

8 votes
2 answers
3k views

Are upper and lower Lebesgue integrals equal for every $f$?

8 votes
1 answer
914 views

Why are random variables measurable?

7 votes
1 answer
1k views

Proving measurability of a function only by checking generating sets

6 votes
2 answers
4k views

Derivation of fourier series equation

5 votes
2 answers
4k views

Matrix multiplication by scalar is commutative

4 votes
3 answers
941 views

Improper integral - equivalent definition?

4 votes
4 answers
10k views

Combining two convolution kernels

4 votes
0 answers
392 views

Cumulative distribution function - why is it so important?

4 votes
3 answers
618 views

Poisson Process - non-zero probability of more than one arrival

4 votes
1 answer
776 views

Principal component analysis - calculating variance

4 votes
2 answers
9k views

Priority vector and eigenvectors - AHP method

4 votes
1 answer
613 views

Definition of measurable space - sigma algebra

3 votes
2 answers
2k views

Gödel's incompleteness theorem - question about self reference

3 votes
6 answers
3k views

Every set is a union of singleton sets

3 votes
3 answers
243 views

Approximation by using Taylor Polynomials - why?

3 votes
3 answers
2k views

Number of eigenvalues of a matrix with all rows multiples of the first row

3 votes
1 answer
708 views

If $\lambda_{max} = n$, then $n\times n$ positive, reciprocal matrix A is consistent

3 votes
1 answer
2k views

Probability of cartesian product of events

3 votes
2 answers
1k views

Arc length definition

3 votes
0 answers
417 views

Fourier spectrum reflected across origin and Nyquist frequency

3 votes
4 answers
2k views

Proving sine of sum identity for all angles

3 votes
1 answer
387 views

Change of basis matrix - part of a proof

2 votes
1 answer
777 views

Transforming coordinate system vs objects

2 votes
3 answers
220 views

Function graph transformations

2 votes
1 answer
2k views

Rotating a point vs rotating coordinate system