The purpose of this article is to investigate the uniqueness of meromorphic functions sharing five small functions on annuli.

The period annuli of the planar vector field x′ = −yF (x, y), y′ = xF (x, y), where the set {F (x, y) = 0} consists of k different isolated points, is defined by k + 1 concentric annuli. In this paper we perturb it with polynomials of degree n and we study how many limit cycles bifurcate, up to a first order analysis, from all the period annuli simultaneously in terms of k and n. Additionally, ...

We construct a one-parameter family of properly embedded minimal annuli in the Heisenberg group Nil3 endowed with a left-invariant Riemannian metric. These annuli are not rotationally invariant. This family gives a vertical half-space theorem and proves that each complete minimal graph in Nil3 is entire. Also, the sister surface of an entire minimal graph in Nil3 is an entire constant mean curv...

The structural arrangement of protein subunits in extended and contracted tail sheaths of T4 bacteriophage has been studied by optical diffrsctometry of electron micrographs. The analysis of such diffraction patterns shows that the extended sheath consists of annuli of six subunits, these being arranged in a helix of close to seven annuli in two turns. The annuhrs repeat in the helix direction ...

Arterial annuli occur at the junction of side-arm branches of retinal arteries in a number of species, and we have studied them in the owl monkey, cat, dog, rat, and pig. They were initially described as being PAS-positive, but they can also be demonstrated with the Masson's, elastic-Van Gieson's, and Gridley's quadruple stains. In most instances the annuli were hypercellular, and some of the c...

Tilings of a quadriculated annulus A are counted according to volume (in the formal variable q) and flux (in p). We consider algebraic properties of the resulting generating function ΦA(p, q). For q = −1, the non-zero roots in p must be roots of unity and for q > 0, real negative.

It is proven that, under mild physical assumptions, an isolated stationary relativistic perfect fluid consists of a finite number of cells fibred by invariant annuli or invariant tori. For axially symmetric circular flows it is shown that the fluid consists of cells fibred by rigidly rotating annuli or tori.

1 The structure of smooth compact k-analytic curves 8 1.1 Disks and annuli . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.2 Semistable formal models of affinoids . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Formal coverings and formal models . . . . . . . . . . . . . . . . . . . . . . . 10 1.4 Semistable partitions . . . . . . . . . . . . . . . . . . . . . . . . ...

Abstract We show that in the absence of periodic centre annuli, a partially hyperbolic surface endomorphism is dynamically coherent and leaf conjugate to its linearisation. proceed characterise dynamics presence annuli. This completes classification endomorphisms.

Atrioventricular annuli are important in haemodynamic flexibility, competence, and support for tricuspid and mitral valves. The anatomical features of the annuli, such as circumference, organisation of connective tissue fibres, myocardium, and cellularity, may predispose to annular insufficiency and valvular incompetence. These pathologies occur more commonly in females, although the anatomic...