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Data Scientist @ Explorer Media


Nov
27
answered area of figure in sector of intersecting circles
Nov
27
comment area of figure in sector of intersecting circles
I was hoping we can use Descartes Circle Theorem. We can identify 4 circles: * the circle $O_A$ with center at $A$ * circle with diameter $\overline{AP}$ * circle with diameter $\overline{PB}$ * unknown circle Unfortunately, these 4 circles are not mutually tangent since the circle with diameter $\overline{AP}$ is not tangent to the circle $O_A$ with center at $A$.
Nov
27
answered Taking a Derivative of a Random Variable
Nov
25
answered Three circles within a larger circle
Nov
25
awarded  Nice Answer
Nov
19
comment The radius of image of a circle under mobius transformation
math.stackexchange.com/questions/360954/…
Nov
18
comment The radius of image of a circle under mobius transformation
I need a way to find the Euclidean center of that circle
Nov
17
comment If $T^m$ is ergodic, so is $T^{m^2}$?
can you say $(T^{m^2}) = (T^m)^m$ ?
Nov
17
comment The radius of image of a circle under mobius transformation
translation clearly preserves the radius and center. I am wondering what $z \mapsto \frac{1}{\overline{z}}$ does to arbitrary circles.
Nov
16
asked The radius of image of a circle under mobius transformation
Nov
16
revised Is $f(n)= \sum_{1\leq i \leq n}\log(i) - \sum_{\text{p is prime},\ p\leq n} \log(p)^2$ a function of $\operatorname{O}(n^{\frac{1}{2}+\epsilon})$?
added 705 characters in body
Nov
16
answered Is $f(n)= \sum_{1\leq i \leq n}\log(i) - \sum_{\text{p is prime},\ p\leq n} \log(p)^2$ a function of $\operatorname{O}(n^{\frac{1}{2}+\epsilon})$?
Nov
16
comment Character of the algebra $\mathbb{C}[G]$ as $G \times G $-module
is this Frobenius reciprocity ?
Nov
11
comment Bernoulli Numbers and radius of convergence
@NoamD.Elkies Sorry that wasn't fair. You could expand around $x = n \in \mathbb{Z}[i]$ for $|n| > 2\pi > 6$. There could be a "transition map" between the series for various $n$.
Nov
11
comment Bernoulli Numbers and radius of convergence
@NoamD.Elkies Can you give me a working infinite series when $x = 3\pi$ ?
Nov
11
comment Suppose $x$ and $y$ are in the same orbit. Show that $G_x$ and $G_y$ are conjugate subgroups.
What does "well-defined" mean?
Nov
11
answered Bernoulli Numbers and radius of convergence
Nov
11
comment Alternative complex analysis proof of Fundamental Theorem of Algebra
mathoverflow.net/questions/10535/…
Nov
11
answered Understanding branch cuts by manually choosing the branch cuts of a function
Nov
11
comment Find $n$ such that $(\mathbb{Z}/n\mathbb{Z})^\times \simeq \mathbb{Z}_2 \times \mathbb{Z}_2$.
The list is telling me that there are probably only finitely many $n$ such that $\phi(n) = m$, so maybe I should ask a different question about these abelian groups.