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Dec
30
comment Root test proof explanation?
@John11: see edit
Dec
30
revised Root test proof explanation?
added 137 characters in body
Dec
30
answered Root test proof explanation?
Dec
29
comment find an expression for f(g(x)) in the form of $p(x + q)^2 + r$
Your phrasing for (c) is incorrect, it should be that $f(g(x))$ cannot be zero because you cannot divide by 0.
Dec
29
answered Convergence of independent $\mathcal U {(n,n^2)}$ random variables?
Dec
23
comment $Z_n\rightarrow 0$ in probability and $W_n$ a series of random variables, implies $W_nZ_n\rightarrow 0$?
You probably meant to link this: math.stackexchange.com/questions/1585983/… And to prove the new statement, look at the original proof and replace $W$ with $W_n$,
Dec
22
answered Is $0 \times \ln(0) =\ln(1) $ true?
Dec
22
comment Does an infinite iteration of a function still have my solution and why does it work?
You seem to be asking two different questions. The first is to find the set of functions $f(x)$ such that $f[f[f(\cdots)]]]=x$, one of which is $f(x)=x$. The second question is to find a solution $x$ of the above for a given $f$ such as $f(x)=e^x$. Which are you interested in?
Dec
22
comment Finding maximum number of factors in n!
What does the "largest amount of factors of $n$ in $n!$" mean? A number has a fixed set of factors, what would the largest amount be?
Dec
22
revised Given $Z_n\rightarrow 0$ in probability and $W$ a random variable, proving $WZ_n\rightarrow 0$
added 2 characters in body
Dec
22
comment Given $Z_n\rightarrow 0$ in probability and $W$ a random variable, proving $WZ_n\rightarrow 0$
@Whyka: Why do you need $EW$ to be finite? There's no need for Markov's inequality, just the definition of convergence in probability. See edit for the proof of the hint.
Dec
22
revised Given $Z_n\rightarrow 0$ in probability and $W$ a random variable, proving $WZ_n\rightarrow 0$
added 205 characters in body
Dec
22
answered Given $Z_n\rightarrow 0$ in probability and $W$ a random variable, proving $WZ_n\rightarrow 0$
Dec
22
comment Given $Z_n\rightarrow 0$ in probability and $W$ a random variable, proving $WZ_n\rightarrow 0$
Just to clarify, is $Z_n\rightarrow 0$ in probability?
Dec
22
comment How to generate random points on a sphere
do you want the points to be uniformly random on the surface of the sphere?
Dec
22
comment Taylor Series Polynomial Proof using Induction
Write down the exact definition of a taylor polynomial for $f$ around $a$. notice that $(x-a)^k=0$ whenever $x=a$.
Dec
22
comment Almost sure convergences of series of Poisson random variables
@BCLC: Replace "two" with "three" :)
Dec
18
comment Determinants and diagonalization
The matrix $\begin{pmatrix} 1 & 0\\ 0 & 0\end{pmatrix}$ has determinant zero. Is it not diagonalizable?
Dec
18
comment Compute $Cov(X+Y, \frac{X} {X+Y})$
Hopefully $P(X=0)=0$.
Dec
18
comment Proving $e$ is irrational
en.wikipedia.org/wiki/Proof_that_e_is_irrational