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Search options questions only not deleted not community wiki created 2010-09-28 - 2011-09-28
5 votes
1 answer
921 views

Space of metrics with positive sectional curvature

Hello; We know that the space of riemannian metrics on a compact manifold is an open cone in the space of symmetric 2-tensors. Is it reasonable to think that metrics with positive sectional curvatur …
S.A.A's user avatar
  • 469
1 vote
2 answers
891 views

Concrete examples concerning standard deviations and mean absolute deviations

Once again stackexchange is not responding to one of my questions (so far no comments, no answers, two up-votes). Hence this "crossposting": Is there a simple (or not simple?) algorithm that will ch …
Michael Hardy's user avatar
2 votes
1 answer
350 views

is there a way to solve the following equation?

(I tried asking that on math.stackexchange.com, but did not get a satisfying answer. I am trying here as well, in case someone here will have more insight. The question was eventually abandoned there. …
dotproduct's user avatar
3 votes
1 answer
205 views

A minimum problem of the CoV

I have the following minimum problem: $$\tag{1} \min_{u\in W^{1,1}(0,B)} \int_0^B (\sqrt{1+|u^\prime (t)|^2} -a)\ u^{k-1} (t) t^{h-1}\ \text{d} t $$ (where $B>0$, $0 < a < 1$, $h,k\in \mathbb{N}$ a …
G.DiMeglio's user avatar
3 votes
1 answer
454 views

A Bessel integral

Today I came across the integral $\int_a^\infty e^{-bx} I_n(x) dx$ where $I_n$ is the modified Bessel function of the first kind. There is a solution for $a=0$, provided in Gradshteyn and Ryzhik, bu …
Xi'an's user avatar
  • 61
8 votes
1 answer
365 views

Counting copies of a BA within a BA: arbitrarily many vs infinitely many

Informally, I am wondering if a Boolean algebra $\mathcal{B}$ contains infinitely many disjoint copies of a Boolean algebra $\mathcal{A}$ whenever it contains arbitrarily many disjoint copies of $\mat …
Asher M. Kach's user avatar
1 vote
2 answers
313 views

Automorphisms of locally finite countable posets-2

Given is a locally finite countable connected poset which satisfies further the following properties: Let $C$ be any maximal chain ( i.e. inextendible chain) and $A$ be any antichain. Then $A$ is …
user avatar
14 votes
1 answer
2k views

What is the limit of the "knight" distance on finer and finer chessboards?

Consider the "infinite chessboard" on the plane. Think of it as the lattice $X_1:=\mathbb{Z}^2$, and also finer chessboards $X_n$ corresponding to $\frac{1}{n}\cdot \mathbb{Z}^2$, $n\geq 1$. Given two …
Qfwfq's user avatar
  • 23.3k
2 votes
1 answer
456 views

Giambelli and Porteous Formula

I was looking at the formula to compute the schubert class of a grassmanian in terms of a more elementary schubert cycles via giambelli's formula, and on the other hand Porteous formula tells us how t …
Anant Atyam's user avatar
5 votes
1 answer
474 views

When are constructible points closed?

Let $X$ be a scheme. What technical hypotheses must be imposed on $X$ to assure that a point $p \in X$ is closed if and only if the 1-point set $\{p\}$ is constructible?
Ian A's user avatar
  • 53
3 votes
3 answers
5k views

Show that holomorphic functions are infinitely differentiable without complex analysis [duplicate]

Possible Duplicate: Is there an integration free proof (or heuristic) that once differentiable implies twice differentiable for complex functions? Is there a way to show that holomorphic func …
Bill's user avatar
  • 131
4 votes
0 answers
167 views

A fast way to test whether a partial function can be extended to a chirotope of rank 3 ?

Hello, What is a fast way to test whether a partial function can be extended to a chirotope of rank 3 ? That is: I have a domain $E = \{1,...,n\}$ and a partial function $f: E^3 \to \{-1, 0, 1\}$ …
Josephine's user avatar
  • 191
4 votes
2 answers
476 views

Lens-shaped vs globally hyperbolic

The theorem of uniqueness of solutions of first order, quasilinear, symmetric hyperbolic systems is naturally formulated in terms of so-called lens-shaped domains. Roughly, a domain is lens-shaped if …
Igor Khavkine's user avatar
11 votes
2 answers
1k views

Is [mD] very ample if D is ample?

Let D be an ample R-divisor, is the round down [mD] very ample for any sufficiently divisible number m? I think it's true. But I do not know how to arrange an argument.
Zhengyu Hu's user avatar
4 votes
2 answers
674 views

When is a class function on a group G (finite abelian) into the rational numbers Q an elemen...

Given a class function $f: G \to \mathbb Q$, where $G$ is a finite abelian group, is there an easy way to decide whether $f$ is an element of the rational representation ring $R_{\mathbb Q}(G)$, i.e. …
Dimitrios's user avatar

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