49,862 reputation
464136
bio website linkedin.com/pub/…
location Illinois
age 39
visits member for 3 years, 7 months
seen 3 hours ago

I'm a mix of things, a physicist by education, I earn my living as a mathematician and programmer working at Wolfram Research. I thoroughly enjoy learning and discovery process.


“Technical skill is mastery of complexity, while creativity is mastery of simplicity”
— Erik Christopher Zeeman

Project Euler


Nov
25
comment When does $\int_0^t dX_s = X_t-X_0$ hold for a stochastic process?
What is the definition of stochastic integral you are working with?
Nov
15
comment Prove that $\frac{d^n}{dx^n} (\sin^4 x + \cos^4 x) = 4^{n-1}\cos (4x + \frac{n\pi}{2})$
Use $$ \sin^4(x) + \cos^4(x) = \frac{3}{4} + \frac{1}{4} \cos(4 x)$$ and an easy $\frac{d^n}{d x^n} \cos(a x) = a^n \cos\left(a x + \frac{\pi n}{2} \right)$.
Nov
6
revised Prove that a certain sequence of partial sums (involving integrals) converge.
deleted 1 character in body
Nov
5
answered Prove that a certain sequence of partial sums (involving integrals) converge.
Nov
5
answered X and probability
Nov
2
comment Linear combinations of Bernoulli random variables are not independent
If you are familiar with the concept of characteristic function, that would be easiest way to go.
Oct
26
answered Throwing dice vs. Poisson
Oct
24
revised seems easy set problem
added 5 characters in body
Oct
22
revised $\int\limits_{\mathbb{R}} e^{-|x|}e^{-ix\xi}dx$
Fixed English
Oct
13
revised Limit with logarithms (no l'Hospital)
added 7 characters in body
Oct
9
reviewed Close Algebra: How to solve for a variable
Oct
9
answered Convergence in distribution - using moment generating function
Oct
9
reviewed Close Find the z- transform of y [n] and its region of convergence (ROC)
Oct
9
reviewed Close Is the Gamma Function a jointly sufficient statistic?
Oct
9
reviewed Close If you have two envelopes, and …
Oct
8
reviewed Close Set of zeros of derivate - Lebesgue measure
Oct
8
reviewed Close If $a,b$ are positive integers such that $\gcd(a,b)=1$, then show that $\gcd(a+b, a-b)=1$ or $2$. and $\gcd(a^2+b^2, a^2-b^2)=1$ or $2 $
Oct
8
comment Convergence in distribution - using moment generating function
The problem boils down to evaluating $\lim_{n \to \infty} n \ln\left(1 + \frac{\alpha}{n} + \frac{\beta}{n^2}\right)$ for some $\alpha$ and $\beta$. Can you handle this?
Oct
8
revised Convergence in distribution - using moment generating function
edited body
Oct
8
revised Expectation of truncated Poisson Distribution
added 57 characters in body