In [8], Dontchev and Hager have shown that a monotone set-valued map defined from a Banach space to its dual which satisfies the Aubin property around a point (x, y) of its graph is actually single-valued in a neighbourhood of x. We prove a result which is the counterpart of the above for quasimonotone set-valued maps, based on the concept of single-directional property. As applications, we pro...

The zero-lizld lluoresccnccdckctcd triplet state mpetlc reson3ncc spcctn hwc been obmincd for the pymchlorophyllidc a-apomyoglobm compln at 1 K The rnplct SICIIC zero-field sphltmgs Jnd spm sublevel dyn.mucs wcrc detcclcd on the rcsolwd features of the slrucrurcd lowtempcrzxture Iluoresccncc. Struclurrd ~luorcsccncc LS nol obscrvcd ior pyiuchlorophyhde a m XI atgzruc m3trLx under Idenricsl cand...

Saliva is of major importance in taste, speech, swallowing, and protection against dental caries. Neck dissection surgery and/or radiotherapy may impair the function of the submandibular glands. Over the years, there has been a trend toward more conservative approaches to neck dissection. Metastasis to the submandibular gland itself is extremely rare and if removal of the lymph nodes of subleve...

The basin of attraction of an asymptotically stable fixed point of the discrete dynamical system given by the iteration xn+1 = g(xn) can be determined through sublevel sets of a Lyapunov function. In [3] a Lyapunov function is constructed by approximating the solution of a difference equation using radial basis functions. However, the resulting Lyapunov function is non-local, i.e. it has no neg...

A number of rules for the calculus of subdifferentials of generalized convex functions are displayed. The subdifferentials we use are among the most significant for this class of functions, in particular for quasiconvex functions: we treat the Greenberg-Pierskalla’s subdifferential and its relatives and the Plastria’s lower subdifferential. We also deal with a recently introduced subdifferentia...

If K is a nonempty compact subset of X and f : X → [−∞,∞] is lower semicontinuous, there is some x0 ∈ K such that f(x0) = infx∈K f(x). A rate function is a function I : X → [0,∞] such that (i) there is some x ∈ X with I(x) <∞ and (ii) for any c ∈ [0,∞], f−1([0, c]) is compact (namely, the sublevel sets of I are compact). Condition (ii) implies that a rate function is lower semicontinuous. For S...

Motivated by problems of uncertainty propagation and robust estimation we are interested in computing a polynomial sublevel set of fixed degree and minimum volume that contains a given semialgebraic set K. At this level of generality this problem is not tractable, even though it becomes convex e.g. when restricted to nonnegative homogeneous polynomials. Our contribution is to describe and justi...

Polarization-selective transient grating experiments have been used to study the subnanosecond time scale dynamics of several sodium-seeded, premixed flames. Intensity gratings (in which both excitation beams are of the same polarization) were used to determine excited-state quenching collision rates, while polarization gratings (in which the excitation beams are cross polarized) were used to m...