Alex Nelson
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 May3 comment How would you evaluate $I:=\int_ {0}^{\infty} \frac {\cos(ax)} {(x^2 + b^2)^n} \ \mathrm{d}x$? Consider the real part of the integral $\int(x^2+b^2)^{-n}\exp(iax)\,\mathrm{d}x$ might help... Apr22 comment What's the name of this category Isn't it isomorphic to the category $C_{A\times B}$? Apr20 awarded Organizer Apr20 revised Why the $\zeta$ letter is like this? Fixed tags Apr20 suggested approved edit on Why the $\zeta$ letter is like this? Apr20 comment Link between a topological space and a manifold The topology is the collection of open sets of the space (by definition, a member of the topology is called an "open set"). But when a manifold "locally looks Euclidean", you're talking about charts...the image of a chart is itself an open set in the manifold, which requires a topology to talk about... Apr20 comment Why the $\zeta$ letter is like this? @Goos, the difference is really negligible. Once you get one method of writing a zeta, it's not terribly difficult to deform the orthography into the one you desire. But starting with some zeta, I found, has been the hard part (for me anyways). Apr20 comment Why the $\zeta$ letter is like this? foundalis.com/lan/hw/grkhandw.htm Apr18 awarded Civic Duty Apr15 comment Solve $\sqrt{1+\sqrt{1-4x^2}}=x\left( 1+\sqrt{1+\sqrt{1+2\sqrt{1-4x^2}}}\right).$ Perhaps set $u=\sqrt{1-4x^{2}}$, so $x = \sqrt{1-u^{2}}/2$ and the problem becomes $2=\sqrt{1-u}(1+\sqrt{1+\sqrt{1+2u}})$...? Apr11 revised Evaluate $\int_{0}^{\pi/4}\frac{6 - 6\sin^{2}(x)}{2\cos^2(x)} \mathrm{d}x$ Improved the tex formatting Apr11 suggested approved edit on Evaluate $\int_{0}^{\pi/4}\frac{6 - 6\sin^{2}(x)}{2\cos^2(x)} \mathrm{d}x$ Apr11 comment Evaluate $\int_{0}^{\pi/4}\frac{6 - 6\sin^{2}(x)}{2\cos^2(x)} \mathrm{d}x$ So...what have you attempted so far? Mar31 comment Tensor fields and vector bundles To be precise, on the level of sections, don't we have an isomorphism $\Gamma(E\otimes F)\cong\Gamma(E)\otimes\Gamma(F)$ and not a strict equality? Mar31 comment Divergent Alternating Series But if $p=1/2$ then $b_{9} = -1/2 < 0$, contradicting one of the premises of the problem ($b_{n}>0$ for all $n$). Mar30 comment Tangent space of the tangent bundle Well...is $dg_{(x,0)}$ surjective? Mar10 revised Topological Quantum Field theories Added some more explanation Mar8 comment Topological Quantum Field theories @SanathDevalapurkar, also, where I'm studying -- I studied at UC Davis as an undergraduate. My current situation is rather strange (not that I'm private about it, I just cannot describe it in 140 characters!). I still study quantum gravity, though :) Mar8 comment Topological Quantum Field theories In, e.g., 1+1 dimensional TQFT, dynamics is done by specifying the number of loops you begin with at time $t=0$, and how many you have at $t=1$, as well as the topology of the world-sheet for \$0