# All Questions

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### Sharpening a bound on $\zeta'(s)$

I want to find an upper bound for $\zeta'(s)$ along a vertical line $\Re(s)=b$, where $-1<b<0$. One way to do this is using $$\frac{\zeta'(b+iT)}{\zeta(b+iT)}=O_b(\log T)$$ and ...
83 views

### “Paradoxes” in $\mathbb{R}^n$

One may think of this question as a duplicate of this one. I see it more like an extension. The "inscribed sphere paradox" discussed in the aforementioned question states that if you inscribe a ...
49 views

### real algebraic geometry software?

Does anyone have suggestions/experience for any software packages to study real algebraic varieties (for example, counting connected components of hypersurfaces, figuring out the topological type of ...
210 views

### Graph Theory is the slum of Topology (?) [on hold]

(Edited in accordance with suggestions in comments.) I remember once I read a quote that sounded like "graph theory is the scum slum of topology" (please approximate). I can not find it on the web, ...
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### Homotopy with non piece-wise linear boundary

in the middle of a long proof I encounter the following problem. Let $E$ be a closed and convex set in $\mathbb R^n$ such that for all $\vec x\in E$ it holds that $\sum_ix_i=1$. (We can understand ...
27 views

### Is Laplacian matrix singular? [on hold]

I'd like to ask is Laplacian L matrix singular? Than if it is singular, how it is possible do inverse and lu factor of Laplacian?
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75 views

### the Action of $SL_2(\mathbb{R})$ on a fundamental domain of $\Gamma$

Let $F=\{z\in H: |z|\geq1, |Re(z)|\leq 1/2\}$. It is a fundamental domain of the modular group $\Gamma$ acting on the upper half plane $H$. (Strictly speaking, one should take part of the boundary ...
65 views

### Reference on Infinite Dimensional Manifold [migrated]

I am studying manifold. For comprehension, I read the site http://en.wikipedia.org/wiki/Manifold, and there is some information about infinite dimensional manifold. Now I have two questions or ...
83 views

### a question about $SL(2n, \mathbb Z)$ and symplectic group $Sp(2n, \mathbb Z)$ [on hold]

My question: what are the generators of $SL(2n, \mathbb Z)$? And what are the generators of $Sp(2n, \mathbb Z)$? Thank you !
92 views

### combinatorial and linear duality

Let $S$ be a finite set, and let $W$ be a nonempty set of subsets of $S$; we will identify every subset of $S$ with its characteristic function, a 0-1 vector in $\mathbb R^S$. The combinatorial dual ...
31 views

### How to rank a separate population using elo points/system [on hold]

Background: I have a website where students vote on the attractiveness of their peers: they are presented with two images, and they must pick one (the "winner")- then the elo score for each is ...
152 views

### Looking for Soviet Math. Dokl

I'm a undergraduate student and I'm trying to study research level papers for the first time. I'm studying William Weiss's "Countably compact spaces and Martin's axiom" and he gives "Soviet Math. ...
38 views

### The probability of Levy process staying at a point

Assume $X_{t}$ is a 1-dimensional Levy process on a probability $(\Omega, \mathcal{F}, P)$. For a fixed point $x$ in the state space and fixed $t\neq 0$, what's the value of \$ P(\omega: ...