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May
16
comment What is the probability the max of one sample is greater than the max of a different sample?
The random variable given by taking the maximum over a set of random variables with IID uniform distributions over an interval has a distribution which is a special case of a beta distribution; see en.wikipedia.org/wiki/Beta_distribution.
May
7
comment Why is it important, that mathematics can be formalized in set theory?
The question supposes that mathematics can be formalized in set theory, which I don't dispute...but it may be hard to define what one means by "mathematics". In some circles of thought I might imagine people objecting to the premise.
May
5
answered Is every diagonal matrix the product of 3 matrices, $P^{-1}AP$, and why?
May
3
awarded  Nice Answer
Apr
30
answered Summations and integrals with no upper limits
Apr
29
comment Approximating simple function by continuous function
This looks fine. Make sure to put absolute values in your definition of $S$ in the second to last line.
Apr
28
comment Linear transformation of eigenspace is subset of eigenspace
Looks good so far...
Apr
28
comment Linear transformation of eigenspace is subset of eigenspace
Hint: For every $v$, $LMv = MLv$. Now choose $v$ to be an eigenvector of $M$.
Apr
28
reviewed Approve Linear transformation of eigenspace is subset of eigenspace
Apr
28
reviewed Close How should I describe this limiting operation in an equation
Apr
28
reviewed Close Parallelogram: Given center point, all angles and all lengths find corners
Apr
28
reviewed Leave Open Show that $\sin\left(\frac\pi3(x-2)\right)$ is equal to $\cos\left(\frac\pi3(x-7/2)\right)$
Apr
28
comment Show that $\sin\left(\frac\pi3(x-2)\right)$ is equal to $\cos\left(\frac\pi3(x-7/2)\right)$
You know that $\cos(y + \pi/2) = - \sin{y}$. Now choose $y = (\pi/3) (x - 2)$.
Apr
28
comment Proving that $\int \delta \dot{x} dt = \delta x$
You still need to be more precise. You've defined $\delta g(t) = g(t + dt) - g(t)$, which means that in fact $\delta g(t)$ must be a function of both the numbers $t$ and $dt$.
Apr
25
comment Approximating simple function by continuous function
You're on the right track. Using the result you proved, you know how to approximate each characteristic function. The function you want to approximate is a sum of characteristic functions, so you can approximate that by...
Apr
23
comment Applying Cauchy Residue Theorem
For one thing, the only way for a pole to be "inside" a contour is if the contour is a closed curve.
Apr
23
comment Adjoint operator on Banach space
In general it is not true that $T^{\ast \ast} = T$. Are $X,Y$ reflexive spaces?
Apr
22
comment Sufficient conditions on integration kernel for continuity of the integral operator
Where does the $f$ go in the definition of $T$?
Apr
22
reviewed Close Are the only sets in $\mathbb{R^1}$ which are both open and closed $\mathbb{R^1}$ and $\emptyset$?
Apr
22
reviewed Close Group of even order contains an element of order 2