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Aug
25
comment Prove that the set of square matrices $A(x)=\begin{pmatrix} 2x+y & x \\ 3x & 2x+3y \\ \end{pmatrix}$ for $x,y\in [0,1]$ is a compact set.
All four components are continuous, therefore the map itself is continuous.
Aug
24
answered Prove that the set of square matrices $A(x)=\begin{pmatrix} 2x+y & x \\ 3x & 2x+3y \\ \end{pmatrix}$ for $x,y\in [0,1]$ is a compact set.
Aug
22
comment How could I find the sum of this infinite series by hand?
That's really rockin'!
Aug
21
answered expected values of identically distributed random variables
Aug
18
answered A non-trivial example of $\cal F$- measurable function?
Aug
15
reviewed Leave Open Help with a proof that $\mathop {\lim }\limits_{x \to + \infty } f\left( x \right) = 0$
Aug
15
reviewed Looks OK Are surjective functions really functions?
Aug
11
revised If $X_n\to X$ in $L^p$, then $E(X_n)^p \to E(X)^p$
added 14 characters in body
Aug
11
comment If $X_n\to X$ in $L^p$, then $E(X_n)^p \to E(X)^p$
Taking a $p$th power is continuous.
Aug
11
answered If $X_n\to X$ in $L^p$, then $E(X_n)^p \to E(X)^p$
Aug
10
reviewed Close A Rédei $p$-group is the union of its maximal subgroups
Aug
10
comment The mapping $P$ is a measure on, what?
We say $P$ is a measure on the measurable space $(\Omega, \mathcal{F})$.
Aug
9
reviewed Close convergent sequence $\{a_n\},\{b_n\}$, does it convergent $\{ {a_n}^{b_n} \}$?
Aug
9
reviewed Close Rearrange and solve for $N: 16 = \frac{1}{n}\cdot 25 + \frac{n-1}{n} \cdot 218.75$
Aug
9
reviewed Close Limit with infinity in power?
Aug
8
reviewed Leave Open Prove inequality $x^sy^{1-s} \leq sx + (1-s)y$
Aug
8
comment Is there a connected subset of $\mathbb{R}^n$ that is not complete?
I have posted about the simplest possible answer.
Aug
8
answered Is there a connected subset of $\mathbb{R}^n$ that is not complete?
Aug
8
reviewed Leave Open Calculating derivatives (applying chain rule)
Aug
7
revised Inequality $\left(\frac {17}{25}\right)^k \le 10^{-5}$ - Solve for $k$
added 8 characters in body