In this paper, we provide in a general Hilbert space new characterizations of uniform prox-regularity involving outside but sufficiently close points considered sets. We show that the complement prox-regular set is nothing union closed balls with common radius. derive from given equivalent to semiconvexity property its distance function. Various estimates metric projection mapping are also esta...

Prox 1, a likely mouse homologue of the Drosophila homeobox gene prospero has been cloned and its expression pattern analyzed during development. In Drosophila, prospero is expressed in the developing CNS, lens-secreting cone cells of the eye, and midgut. In the mouse, Prox 1 is expressed in many of the same tissues: young neurons of the subventricular region of the CNS, developing eye lens and...

CE MRA NCE MRA p ̃ x ql qu ̃ x ql qu LRA Ost. 5.0 5.0 5.0 5.0 4.5 5.0 0.51 Prox. 5.0 5.0 5.0 5.0 4.5 5.0 0.51 Dist. 4.0 3.0 5.0 3.0 2.8 3.0 0.11 Bran. 2.5 1.8 3.3 1.0 1.0 1.0 0.06 RRA Ost. 5.0 5.0 5.0 5.0 4.3 5.0 0.46 Prox. 5.0 5.0 5.0 5.0 3.5 5.0 0.29 Dist. 4.0 3.0 5.0 2.5 1.8 3.3 0.16 Bran. 2.0 1.8 3.5 1.0 1.0 1.3 0.13 Aorta 5.0 5.0 5.0 5.0 4.8 5.0 0.51 Overall 5.0 4.0 5.0 4.0 2.8 4.0 0.07 Diag...

Ba salt of the Chil cotin Group (CG), sit u ated in the In te rior Pla teau phys io graphic re gion of cen tral Brit ish Co lum bia, cov ers an area of nearly 36 500 km. Its dis tri bu tion is en tirely within the re gion of BC that is most af fected by mountain pine bark beetle (MPBB) in fes ta tion (Fig 1). The CG is im me di ately un der lain by Pa leo zoic-Me so zoic base ment rocks with hi...

Bacteria have developed an epigenetic phase variation mechanism to control cell surface pili-adhesin complexes between heritable expression (phase ON) and nonexpression (phase OFF) states. In the pyelonephritis-associated pili (pap) system, global regulators [catabolite gene activator protein (CAP), leucine-responsive regulatory protein (Lrp), DNA adenine methylase (Dam)] and local regulators (...

PURPOSE To study the morphologic alterations in the proximal and distal urethral edges from patients submitted to end-to-end bulbar urethroplasty. MATERIALS AND METHODS We analyzed 12 patients submitted to anastomotic urethroplasty to treat bulbar strictures less than 2.0 cm in length. After excision of the fibrotic segment to a 28Fr urethral caliber, we obtained biopsies from the spongious t...

In this paper, we propose a new decomposition approach named the proximal primal dual algorithm (Prox-PDA) for smooth nonconvex linearly constrained optimization problems. The proposed approach is primal-dual based, where the primal step minimizes certain approximation of the augmented Lagrangian of the problem, and the dual step performs an approximate dual ascent. The approximation used in th...

Fundamental insights into the properties of a function come from the study of its Moreau envelopes and Proximal point mappings. In this paper we examine the stability of these two objects under several types of perturbations. In the simplest case, we consider tilt-perturbations, i.e. perturbations which correspond to adding a linear term to the objective function. We show that for functions tha...