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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?