Let G be a group acting on R by orientation-preserving homeomorphisms. We show that a tight bound on orbits implies a global fixed point. Precisely, if for some k > 0 there is a ball of radius r > 1 √ 3 k such that each point x in the ball satisfies ‖g(x) − h(x)‖ ≤ k for all g, h ∈ G, and the action of G satisfies a nonwandering hypothesis, then the action has a global fixed point. In particula...

The two-bounce free-space arbitrary interconnection architecture is presented. It results from a series of three-dimensional topological transformations to the Benes network, the minimum rearrangeable nonblocking network. Although functionally equivalent to the Benes network, it requires only two stages of global (spanning multiple chips) optical interconnections. The remaining stages of the mo...

Background: CTX-M-type extended-spectrum β-lactamases (ESBLs) are the most prevalent ESBLs in bacterial members of Enterobacteriaceae family including Klebsiella pneumoniae. The global spread of CTX-M-producing K. pneumoniae is a major concern in most countries including Iran. The aim of this meta-analysis was to determine the relative frequency (RF) of blaCTX-M gene among ESBLs-producing K. pn...

We study general methods to build forking-like notions in the framework of tame abstract elementary classes (AECs) with amalgamation. We show that whenever such classes are categorical in a high-enough cardinal, they admit a good frame: a forking-like notion for types of singleton elements. Theorem 0.1 (Superstability from categoricity). Let K be a (< κ)-tame AEC with amalgamation. If κ = iκ > ...

We show that the theory of hyperrings, due to M. Krasner, supplies a perfect framework to understand the algebraic structure of the adèle class space HK = AK/K of a global field K. After promoting F1 to a hyperfield K, we prove that a hyperring of the form R/G (where R is a ring and G ⊂ R× is a subgroup of its multiplicative group) is a hyperring extension of K if and only if G ∪ {0} is a subfi...

the formulation of global health policy is political; and all institutions operating in the global health landscape are political. this is because policies and institutions inevitably represent certain values, reflect particular ideologies, and preferentially serve some interests over others. this may be expressed explicitly and consciously; or implicitly and unconsciously. but it’s important t...

The facility positioning problem concerns the location of facilities such as bus-stops, fire stations, schools, so as to optimize one or several objectives. This paper contributes to research on location problems by proposing a reactive multiagent approach. Particularly, we deal with the p-median problem, where the objective is to minimize the weighted distance between the demand points and the...

Recent discoveries of significant variations in stable K isotope ratios (41K/39K or ?41K) among various terrestrial samples indicate that isotopes can be a novel tracer for the global cycle, but key observation seawater ?41K is ?0.6‰ higher than bulk silicate Earth remains unexplained. An unconstrained component critical to this puzzle hydrothermal systems represent both major source and sink o...

conjugation, c, 5anti-cyclotomic p-adic L-function, L (π), 6Atkin–Serre operator, Θord, 13 canonical pairing, ( ,)A, 23convergent modular form, M(m,K), 14admissible, 15of finite tame level, M[ (m,K), 14stable, M[ (m,K)♥, 14universal, 15 distribution algebraA-related, D(A,K), 25ω-related, D(ω,K), 25π-related, D(π), 4 global Lubin–Tate different...