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location Illinois
age 39
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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


9h
awarded  Refiner
9h
awarded  Explainer
11h
answered Expressing $1 + \cos(x) + \cos(2x) +… + \cos(nx)$ as a sum of two terms
1d
comment Is the elliptic integral bounded?
Not at $m=1$, assuming you are asking about the complete integral.
2d
comment Why a positive recurrent Markov chain implies positive limiting probability?
@Inj You really need it to be aperiodic as well, otherwise the limit may not exist.
2d
comment Location of Roots Symmetric Polynomial
There are several known criteria for all the roots to be inside the unit circle: 1. Jury stability criterion 2. Bistritz stability criterion
Sep
27
comment Average distance between consecutive uniformly distributed values
@Manux Alternatively, you could use the pdf for $Y_i$ from wiki page on order statistics and integrate.
Sep
27
answered Average distance between consecutive uniformly distributed values
Sep
27
comment Trigonometry Difficult Question
neat! +1${}{}{}$
Sep
27
comment Is $SU(2)\times SU(2)=SU(4)$ true?
$\operatorname{Spin}(4)$ is double cover of $\mathrm{SO}(4)$. $SO(4)$ is $n(n-1)/2 = 6$ dimensional, while $SU(4)$ is $n^2-1=15$-dimensional
Sep
27
reviewed Approve suggested edit on Getting the value of $n$
Sep
27
reviewed Approve suggested edit on What is the proof of $n^2 = 1 + 3 + 5 … (2*n - 1)$
Sep
27
answered Lottery probability help
Sep
27
answered How do I show that $Var(Y) = n\frac{(\theta _{1} - \theta _{2})^{2}}{(n+1)^{2} (n+2)}$?
Sep
26
answered Probability of points on a circle
Sep
26
comment Probability of points on a circle
What is in your curriculum? Is the rope coiled in a circle, or is the rope straight? If the rope is arrange in a circle, how do you compute distance between points, distance of the chord, or distance along the circumference?
Sep
26
answered expectation equals 0 and probability
Sep
25
revised Find the $P(X>1)$ for the given pdf?
added 105 characters in body; edited title
Sep
24
answered Rephrasing die question
Sep
22
comment Probability that a company is worth $xM after y years, if its value can only stay the same or double every year?
you are on the right track...