Results 101 to 110 of about 12,282,130 (266)
Some Results on Maps That Factor through a Tree
We give a necessary and sufficient condition for a map deffned on a simply-connected quasi-convex metric space to factor through a tree. In case the target is the Euclidean plane and the map is Hölder continuous with exponent bigger than 1/2, such maps ...
Züst Roger
doaj +1 more source
A Decade with VAMDC: Results and Ambitions
This paper presents an overview of the current status of the Virtual Atomic and Molecular Data Centre (VAMDC) e-infrastructure, including the current status of the VAMDC-connected (or to be connected) databases, updates on the latest technological ...
Damien Albert+72 more
doaj +1 more source
Compression bounds for Lipschitz maps from the Heisenberg group to $L_1$ [PDF]
We prove a quantitative bi-Lipschitz nonembedding theorem for the Heisenberg group with its Carnot-Carath\'eodory metric and apply it to give a lower bound on the integrality gap of the Goemans-Linial semidefinite relaxation of the Sparsest Cut ...
Cheeger, Jeff+2 more
core +1 more source
Testing the Bonds: Franco‐Russian Alliance and the First Sino‐Japanese War
The conclusion of the Franco‐Russian Alliance was one of the major turning points in the history of international relations before the outbreak of the First World War in 1914. However, the alliance was put under its first severe test only months after its ratification in 1894.
Julius Lucas Becker
wiley +1 more source
Adherence to Treatment in Allergic Rhinitis During the Pollen Season in Europe: A MASK‐air Study
In a study assessing mobile health data, (i) adherence to rhinitis medication was highest for oral antihistamines and lowest for azelastine‐fluticasone, (ii) in weeks of partial adherence, azelastine‐fluticasone was associated with lower levels of reported rhinitis symptoms than other medication classes.
Bernardo Sousa‐Pinto+121 more
wiley +1 more source
Invariant Carnot-Caratheodory metrics on $S^3$, $SO(3)$, $SL(2)$ and lens spaces
In this paper we study the invariant Carnot-Caratheodory metrics on $SU(2)\simeq S^3$, $SO(3)$ and $SL(2)$ induced by their Cartan decomposition and by the Killing form.
Boscain, Ugo, Rossi, Francesco
core +1 more source
Geodesics and isometries of Carnot groups
We will investigate geodesics in 2-step Carnot groups. And, by applying this, we will prove that every isometry of 2-step Carnot group $N$ fixing the identity is an automorphism of Lie group $N$. Our argument will be elementary. Finally, we will see that the same conclusion holds for general Carnot groups.
openaire +3 more sources
Abstract Objective In traditionally designed randomized clinical trials of antiseizure medications, participants take a blinded treatment for a prespecified number of weeks, irrespective of continued seizures. The alternative design time to prerandomization monthly seizure count (T‐PSC) allows participants to end the blinded treatment after an ...
Wesley T. Kerr+6 more
wiley +1 more source
Metric currents, differentiable structures, and Carnot groups [PDF]
We examine the theory of metric currents of Ambrosio and Kirchheim in the setting of spaces admitting differentiable structures in the sense of Cheeger and Keith.
Williams, Marshall
core +1 more source