Micah
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 1d answered How to determine if an ugly function is harmonic on a domain. Apr 23 awarded Good Answer Apr 21 awarded calculus Apr 16 revised Let $\sum a_n$ be a conditionally convergent sum of complex numbers. Can $\sum a_n z^n$ converge $\forall |z|=1$? added 18 characters in body Apr 16 revised Let $\sum a_n$ be a conditionally convergent sum of complex numbers. Can $\sum a_n z^n$ converge $\forall |z|=1$? added 2 characters in body Apr 16 revised Let $\sum a_n$ be a conditionally convergent sum of complex numbers. Can $\sum a_n z^n$ converge $\forall |z|=1$? added 358 characters in body Apr 15 revised Let $\sum a_n$ be a conditionally convergent sum of complex numbers. Can $\sum a_n z^n$ converge $\forall |z|=1$? added 5 characters in body Apr 15 revised Let $\sum a_n$ be a conditionally convergent sum of complex numbers. Can $\sum a_n z^n$ converge $\forall |z|=1$? added 5 characters in body Apr 15 answered Let $\sum a_n$ be a conditionally convergent sum of complex numbers. Can $\sum a_n z^n$ converge $\forall |z|=1$? Apr 4 comment Taylor vs Laurent series - cosines and sines That just means all the odd powers of $z$ (for cosine) or all the even powers of $z$ (for sine) have a coefficient of $0$. Apr 3 answered Determine the convergence of the following series $\sum_{n=1}^{\infty} \sin\frac{\pi}{2\sqrt{n}}$ Feb 28 comment Is it possible to define a differentiable manifold structure on a cone? @AlexM.: The cone can be given a smooth structure when considered as an abstract topological manifold, but that structure is not straightforwardly obtainable from its embedding in $\Bbb{R}^3$. (As you've noticed, it has "too many" smooth curves. Conversely, it has "too few" smooth functions; e.g., the restriction of $z$ to the cone is not a smooth function.) Feb 27 answered How to check whether arbitrary finite [syntactic] monoid is aperiodic or not? Feb 27 revised How to check whether arbitrary finite [syntactic] monoid is aperiodic or not? deleted 2 characters in body Feb 27 revised How to check whether arbitrary finite [syntactic] monoid is aperiodic or not? added 36 characters in body Feb 22 answered Is there more than one occurrence of a power of two between twin primes? Feb 16 answered $n$-th derivative of $\sin^k(x)$ Feb 14 answered Buffon needle problem , scenario $\ell>d$ Feb 14 awarded Nice Answer Feb 14 answered Is there any integral for the Golden Ratio?