This paper considers an inverse problem for a transversely isotropic 3D acoustic medium where there is one preferred direction called the fiber direction along which the wave propagates fastest and there is no preferred wave propagation direction in the isotropic plane, that is the plane orthogonal to the fiber direction. In this medium the parameters to be recovered are: (1) the wave speed for...

Climatological studies of blocking in the Southern Hemisphere (SH) demonstrate that blocking events are less common (e.g. Lejenas, 1984; Renwick 1998), and are weaker (e.g. Wiedenmann, et al., 2002; hereafter WLMT02) throughout the SH when compared to their NH counterparts. WLMT02 implied that the relative roles in the interaction between planetary-scale and synoptic-scale waves may partially e...

Purpose. To indentify the best shallot cultivars and local forms by growing period length, bulb yield, leaf productivity, weight number per clump in Right-Bank Forest-Steppe of Ukraine. Methods. Statistical processing, field assessments, computational analytical methods. Results. Collection accessions were evaluated for lengthand, weight, performance. Earlyripening accession ‘Sh-8’ with a veget...

Suppose we are given a family of choice functions on pairs from a given finite set (with at least three elements) closed under permutations of the given set. The set is considered the set of alternatives (say candidates for an office). The question is, what are the choice functions c on pairs of this set of the following form: for some (finite) family of “voters”, each having a preference, i.e....

A “spectral gap mapping theorem”, which characterizes exponential dichotomy, is proven for a general class of semilinear hyperbolic systems of PDEs in a Banach space X of continuous functions. This resolves a key problem on existence and smoothness of invariant manifolds for semilinear hyperbolic systems. The system is of the following form: For 0 < x < l and t > 0 (SH)  ∂ ∂t u(t, x...