We define the Thurston-Bennequin polytope of a twocomponent link as the convex hull of all pairs of integers that arise as framings of a Legendrian representative. The main result of this paper is a description of the Thurston-Bennequin polytope for two-bridge links. As an application, we construct non-quasipositive surfaces in R all whose sub-annuli are quasipositive.

Summary Rotylenchus bunae n. sp. was discovered in the coffee rhizosphere Gera district of Jimma, Ethiopia, and has been morphologically molecularly characterised. The new species is identified by a female body length 725-876 μ m, hemispherical lip region with 4-5 annuli, stylet 28-30 lateral field areolation only pharyngeal region, no cuticular striations, gland overlapping intestine dorsally ...

Two illusions of visual movement-induced movement, and the aftereffect of movement-an interact. induced apparent movement of stationary areas can produce an aftereffect. and conversely. an aftereffect of real movement can induce apparent movement into stationary neighboring areas. The real movement of images across the retina can produce two distinct illusions of movement. First, a small statio...

African wild dogs (Lycaon pictus) are endangered and their population continues to decline throughout their range. Given their conservation status, more research focused on their population dynamics, population growth and age specific mortality is needed and this requires reliable estimates of age and age of mortality. Various age determination methods from teeth and skull measurements have bee...

We study the class of hyperbolically convex bounded univalent functions with a boundary normalization in the unit disk U . In the paper we obtain the lower estimate for the distortion in this class. A two-point distortion theorem is also proved. The method of proofs is based on the reduced modulus of digons and the modulus of annuli.

We close the problem of existence period annuli in planar piecewise linear differential systems with a straight line nonsmoothness. In fact, characterization for such objects is provided by means few basic operations on parameters.

The purpose of this work is to prove the following result: If a doubling metric measure space supports a weak (1, p)–Poincaré inequality with p sufficiently small, then annuli are almost quasiconvex. We also obtain estimates for the Hausdorff s–content and the diameter of the spheres. Mathematics Subject Classification (2000). Primary 46E35; Secondary 31C15.

Two cases of infective endocarditis with vegetations attached to the mitral and tricuspid annuli are described. In both cases, the vegetations could not be identified by transthoracic echocardiography. These cases illustrate the advantage of TEE over the transthoracic approach in recognizing vegetations in extravalvular locations.

The cyclicity of period annuli of some classes of reversible and non-Hamiltonian quadratic systems under quadratic perturbations are studied. The argument principle method and the centroid curve method are combined to prove that the related Abelian integral has at most two zeros.