Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with mg.metric-geometry
Search options not deleted
user 26522
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
17
votes
1
answer
702
views
Is there a bounded sequence of points in the plane with pairwise distances at least $1/\sqrt...
Previously I have mentioned the following problem in an addition to the list of Contest problems with connections to deeper mathematics.
Is there an infinite bounded sequence $(P_n) \subset \mathbb{ …
- 13.8k
8
votes
Accepted
approximate two different real numbers to order $\frac{1}{z^{3/2}}$
With the constant $1$, this is Minkowski's higher dimensional extension of Dirichlet's approximation theorem:
If $\alpha_1, \ldots,\alpha_n$ are real numbers, then there are rationals $p_i/q$ with $| …
- 13.8k
34
votes
Can a unit square be cut into rectangles that tile a rectangle with irrational sides?
No. It is a famous problem. Suppose it were possible to cut the unit square into finitely many rectangles of sizes $a_i \times b_i$. This means that we have a decomposition $1 \otimes 1 = \sum_i a_i \ …
- 13.8k
3
votes
0
answers
149
views
Metric extensions of Littlewood's conjecture
Littlewood's conjecture on simultaneous rational approximation to a pair of real numbers,
$$
\liminf_{n \in \mathbb{N}} \, n \cdot \mathrm{dist}(n\alpha,\mathbb{Z}) \cdot \mathrm{dist}(n\beta, \mathbb …
- 13.8k