The paper aims at finding widely and smoothly defined nonparametric location and scatter functionals. As a convenient vehicle, maximum likelihood estimation of the location vector μ and scatter matrix Σ of an elliptically symmetric t distribution on R with degrees of freedom ν > 1 extends to an M-functional defined on all probability distributions P in a weakly open, weakly dense domain U . Her...

The paper aims at finding widely and smoothly defined nonparametric location and scatter functionals. As a convenient vehicle, maximum likelihood estimation of the location vector μ and scatter matrix Σ of an elliptically symmetric t distribution on R with degrees of freedom ν > 1 extends to an M-functional defined on all probability distributions P in a weakly open, weakly dense domain U . Her...

In this paper we investigate the one-dimensional hyperbolic mean curvature flow for closed plane curves. More precisely, we consider a family of closed curves F : S × [0, T ) → R which satisfies the following evolution equation ∂F ∂t (u, t) = k(u, t) ~ N(u, t)− ▽ρ(u, t), ∀ (u, t) ∈ S1 × [0, T ) with the initial data F (u, 0) = F0(u) and ∂F ∂t (u, 0) = f(u) ~ N0, where k is the mean curvature an...

A universal cover for a family T of triangles is convex set that contains congruent copy each triangle T∈T. We conjecture any bounded diameter there forms smallest possible area. prove this all families two triangles, and the fit in unit disk.

Background: Firoozgar Comprehensive Stroke Center started up as the first organized care unit in the country in 2014; this study was performed to investigate quality indicators such as reduction in mortality, morbidity and hospital stay.   Methods: Two groups of ischemic stroke patients were compared. The first group had been admitted in general neurology ward (non-stroke unit patients)...

Each packing of R d by translates of the unit cube [0, 1) d admits a decomposition into at most two parts such that if a translate of the unit cube is covered by one of them, then it also belongs to such a part. Let I = [0, 1) d , and S ⊂ R d be a non-empty set. We say that the set I + S = {I + s : s ∈ S} is a packing of R d by (half-open) unit cubes if the members of I + S are pairwise disjoin...

Energy-coupling factor (ECF) transporters are a huge group of micronutrient importers in prokaryotes. They are composed of a substrate-specific transmembrane protein (S component) and a module consisting of a moderately conserved transmembrane protein (T component) and two ABC ATPase domains (A components). Modules of A and T units may be dedicated to a specific S component or shared by many di...

A t-unit-bar representation of a graph G is an assignment of sets of at most t horizontal unit-length segments in the plane to the vertices of G so that (1) all of the segments are pairwise nonintersecting, and (2) two vertices x and y are adjacent if and only if there is a vertical channel of positive width connecting a segment assigned to x and a segment assigned to y that intersects no other...

This paper addresses the capacity of wide sense stationary uncorrelated scattering (WSSUS) fading channels. Associated with a given input signal we define a quantity called the “fourthegy” of the signal, relative to a given WUSSUS channel. The name is inspired by the fact that the measure is fourth order in the input signal amplitude. The fourthegy depends on the signal through its ambiguity fu...