1,338 reputation
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bio website mathtm.blogspot.com
location University of California Los Angeles, CA
age
visits member for 2 years, 2 months
seen 20 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
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
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Dec
6
revised (Obvious?) Half-Space Poisson Kernel Estimate
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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)
Dec
6
revised (Obvious?) Half-Space Poisson Kernel Estimate
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Dec
6
comment (Obvious?) Half-Space Poisson Kernel Estimate
Sorry, I'm looking closer at the passage in the text and it looks like $y$ is actually held fixed. The reason I was tempted to say it is not is that in my linked question the equivalent of $y$ there (i.e. $t$) is allowed to vary, but that is why (I think) there is the additional constant involved in the estimate, namely $\beta$. So anyway, yes, $y$ is fixed.
Dec
6
comment (Obvious?) Half-Space Poisson Kernel Estimate
I believe $y>0$ is allowed to vary. $\alpha$ is the only parameter fixed, and $A$ is only allowed to depend on $\alpha$.
Dec
6
revised Fourier Transform of Dirac Comb on $\mathbb{Z}$ and $\mathbb{Z}^{d}$.
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Dec
6
revised Some Scaling Estimate for Heat Kernel
added 215 characters in body
Dec
5
revised Some Scaling Estimate for Heat Kernel
added 778 characters in body
Dec
5
revised (Obvious?) Half-Space Poisson Kernel Estimate
added 71 characters in body
Dec
5
asked (Obvious?) Half-Space Poisson Kernel Estimate