We review the construction of continuous wavelet transforms adapted to a given symmetry. Then we discuss in detail successively spatial wavelets, wavelets on the sphere and space-time wavelets. As it is well-known 1], wavelet analysis comes in two versions: the continuous one, used mostly for signal or image analysis, and the discrete one, originating from multiresolution analysis and particula...

BACKGROUND Currently, there are no consistently effective chemotherapies for recurrent and inoperable meningiomas. Recently, cucurbitacin I (JSI-124), a naturally occurring tetracyclic triterpenoid compound used as folk medicines has been found to have cytoxic and anti-proliferative properties in several malignancies thru inhibition of activator of transcription (STAT3) activation. Previously, ...

Structural interventions are key components of a combination approach to HIV prevention. While global guidance for HIV prevention recognises this key role, evidence for the effectiveness of structural interventions, and their implementation, are lagging behind other areas of prevention. Over the past several years, ‘structural prevention’ has received significant academic and intellectual atten...

The magnetic properties of deoxyhemerythrin azide have been measured by combining multifield saturation magnetization data and multifrequency EPR spectra. The exchange coupling [J = -3.4 (1 ) cm-l; JSI-S2], average zero-field splitting parameters [lD1l = 1D21 = 12 ( I ) cm-I and E l / D I = E 2 / D 2 = 0.31, and average gvalues [gl = g2 = 2.23 ( 5 ) ] have been determined assuming identical iro...

We obtain a presentation of certain affine q-Schur algebras in terms of generators and relations. The presentation is obtained by adding more relations to the usual presentation of the quantized enveloping algebra of type affine gln. Our results extend and rely on the corresponding result for the q-Schur algebra of the symmetric group, which were proved by the first author and Giaquinto. Mathem...

We determine the structure of the homology of the BeckerSchultz space SGiS1) ~ Q(CP^° AS1) of stable Sx-equivariant self-maps of spheres (with standard free S1 -action) as a Hopf algebra over the DyerLashof algebra. We use this to compute the homology of BSGiS1). Along the way, we give a fresh account of the partially framed transfer construction and the Becker-Schultz homotopy equivalence. We ...

Objectives: Technology-enhanced simulation is used frequently in emergency medicine (EM) training programs. Evidence for its effectiveness, however, remains unclear. The objective of this study was to evaluate the effectiveness of technology-enhanced simulation for training in EM and identify instructional design features associated with improved outcomes by conducting a systematic review. Meth...

Let s/* = {l\,li, ■■■ , ln} be a line arrangement in CP2 , i.e., a collection of distinct lines in CP2 . Let L(s/ * ) be the set of all intersections of elements of A* partially ordered byX<Y&YCX.Let M{tf*) be CP2 U-af* where \Jsf* = lj{'i: !<'<"}• The central problem of the theory of arrangement of lines in CP2 is the relationship between M{stf * ) and L{s/*). Main Theorem. The topological typ...

Let S be a set of linear inequalities that determine a bounded polyhedron P. The closure of S is the smallest set of inequalities that contains S and is closed under two operations: (i) taking linear combinations of inequalities, (ii) replacing an inequality c aj xj 2 ao, where al, a2, . . . , an are integers, by the inequality c a. x < a with a 1 [a,]. Obviously, if J jintegers Xl' 5’ l *a 9 ⌧...

Predicate abstraction has emerged to be a powerful technique for extracting finite-state models from infinitestate discrete programs. This paper presents algorithms and tools for reachability analysis of hybrid systems by combining the notion of predicate abstraction with recent techniques for approximating the set of reachable states of linear systems using polyhedra. Given a hybrid system and...