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bio website mathtm.blogspot.com
location University of California Los Angeles, CA
age
visits member for 2 years, 6 months
seen 13 hours ago

I am a recent graduate in applied mathematics at UCLA and currently trying to break into the quantitative investment/trading industry while also continuing to pursue advanced graduate-level mathematics as both a hobby and career necessity.


Dec
13
comment Solutions to Dirichlet problem on the half space with $L^{\infty}$ boundary data.
I assume it is just the restrition of $u$ to the boundary with the definition given as above; i.e. just act like $u$ is a function on the boundary and pair it with a test function defined there.
Dec
13
asked Sequence of distinct moments of $X_{n}$ converging to $1$ implies $X_{n}$ converges to $1$
Dec
12
comment Probability of $\alpha\log n$ consecutive successes in a Bernoulli process for $\alpha$ small
It is finite when defining the $A_{n}$, and yes about the i.o.
Dec
12
revised Probability of $\alpha\log n$ consecutive successes in a Bernoulli process for $\alpha$ small
edited tags
Dec
12
asked Law of Large Numbers when $E|X|=\infty$
Dec
12
asked Probability of $\alpha\log n$ consecutive successes in a Bernoulli process for $\alpha$ small
Dec
12
revised Solutions to Dirichlet problem on the half space with $L^{\infty}$ boundary data.
added 144 characters in body
Dec
12
asked Solutions to Dirichlet problem on the half space with $L^{\infty}$ boundary data.
Dec
10
comment What direction does the n vector (normal to the surface) have to be when doing Stokes' theorem?
Orientation; to get a real (rigorous) answer, however, you'll have to wait until you take differential geometry/topology. A simple answer is what you've already indicated: the curve is oriented clockwise, and therefore the surface normal is outward (a physicist would tell you to apply the right-hand rule). At the end of the day however, unless you're applying your result to other computations, it really doesn't matter since your answer will only differ by a sign.
Dec
8
revised Some Scaling Estimate for Heat Kernel
edited tags
Dec
7
revised Some Scaling Estimate for Heat Kernel
added 1024 characters in body
Dec
6
accepted (Obvious?) Half-Space Poisson Kernel Estimate
Dec
6
accepted Constructing a Distributional Solution to the Inhomogeneous C.R. Equations
Dec
6
revised Some Scaling Estimate for Heat Kernel
edited tags
Dec
6
revised Some Scaling Estimate for Heat Kernel
deleted 4 characters in body
Dec
6
revised (Obvious?) Half-Space Poisson Kernel Estimate
added 480 characters in body
Dec
6
comment A convergence result for functions in L^2
Cauchy-Schwarz and the pointwise bound $|f_{n}(x)||g(x)|\leq|x|^{-1/3}|g(x)|$ may be useful.
Dec
6
answered Help with Stokes problem
Dec
6
answered Need clarity with the maximum modulus principle of analytic functions
Dec
6
comment (Obvious?) Half-Space Poisson Kernel Estimate
I added the page where the theorem/proof appears. See (1)