Reputation
Top tag
Next privilege 25,000 Rep.
Access to site analytics
Badges
1 49 114
Newest
 Good Answer
Impact
~1.3m people reached

Jan
29
comment Existence of analytic continuation of $f(z)=\sum{n^{\alpha}} z^n$ for fractional $\alpha$
Analytic continuation to a region with a cut from $1$ to $\infty$ along the real axis.
Jan
26
revised Which journals publish expository work?
added 2 characters in body
Jan
25
awarded  Good Answer
Jan
21
comment Complex evaluation of a classical (real) integral
@ToddTrimble ... see Zurab answer: Presumably [1] and [2] there make the claim it is impossible
Jan
19
comment Is a “knot knot” or “double knot” a thing in knot theory?
I have seen "not knot"
Jan
14
awarded  Necromancer
Jan
14
comment Is there an uncountable Borel almost disjoint family?
@NoahSchweber ... then you have to show complete theories are Borel
Jan
14
comment Integral-like concepts
Why should the characteristic function of the rationals be assigned its Lebesgue measure?
Jan
13
comment Integral-like concepts
But not linearity? $\int_a^b (f(x)+g(x))dx = \int_a^b f(x)dx + \int_a^b g(x) dx$ ... if you add that then it will be the Riemann integral (or an extension).
Jan
12
comment Are the closed and unbounded subsets of $\mathbb{R}$ known up to homeomorphism?
I doubt such a (useful) classification exists.
Jan
11
comment Sequentially indistinguishable topologies on a countable set
Can you have a topology on $\mathbb Z$, other than the discrete topology, where the only convergent sequences are eventually constant?
Jan
10
comment The space $L^p(\partial\Omega)$ in cited references
I'm guessing $\Omega$ should be nice enough that surface area is defined. For example, $\Omega$ is a Lipschitz domain. Often PDE boundary conditions involve "normal vectors".
Jan
9
revised divisibility of uniform distribution
edited body
Jan
9
comment divisibility of uniform distribution
For non-identical distribution, see the link in Carlo's comment.
Jan
9
revised divisibility of uniform distribution
added 1 character in body
Jan
9
answered divisibility of uniform distribution
Jan
8
comment Interchange of integral and infimum
Clearly there is an inequality. So the problem becomes: for each $t$, choose $u(t)$ so that $g(t,u(t))$ is close to the infimum. And make the choice so that $u(t)$ is measurable. This may be known as a "measurable selection" theorem.
Dec
27
comment How do I evaluate this sum for $s$ is a complex variable :$\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^{2s}n!}$?
Hint for convergence with complex $s$: investigate absolute convergence.
Dec
27
comment Periodicity in iterated powers of sin, cos, exp
Yes, since most the the boundaries between colors in the picture are when you go from one branch to another, one would think that in order to explain them, you should first investigate the branches used by the software...
Dec
27
comment Periodicity in iterated powers of sin, cos, exp
What method does the software use when choosing a branch of the $z$-power function?