We employ the axiomatic framework of Rychkov and Tan to investigate critical O$(N)$ vector model with a line defect in $(4-\epsilon)$ dimensions. assume fixed point is described by conformal field theory show that value coupling bulk uniquely without resorting diagrammatic calculations. also study various localized operators method, where analyticity correlation functions plays crucial role det...

Introduction: A bilateral anterior parasternal hernia is commonly called a Morgagni-Larrey hernia. Morgagni hernias are rare in adults, accounting for 3% of all treated diaphragmatic hernias. This article reports a giant bilateral Morgagni-Larrey hernia, repaired with a laparoscopic reduced-port technique. Case Presentation: An 83-year-old female was admitted to the general surgery outpatient c...

In this study, defect-free zinc blende GaAs nanowires on Si (111) by molecular beam epitaxy (MBE) growth are systematically studied through Au-assisted vapor-liquid-solid (VLS) method. The morphology, density, and crystal structure of GaAs nanowires were investigated as a function of substrate temperature, growth time, and As/Ga flux ratio during MBE growth, as well as the thickness, annealing ...

In this paper, we improve b-spline collocation method for Benjamin-Bona-Mahony-Burgers (BBMB) by using defect correction principle. The exact finite difference scheme is used to find defect and the defect correction principle is used to improve collocation method. The method is tested on somemodel problems and the numerical results have been obtained and compared.

Tissue engineered constructs should be tested for their efficacy not only in normal but also in osteoporotic bone. The rat is an established animal model for osteoporosis and is used often for bone healing studies. In this study a defined and standardized critical size defect model in the rat suitable for screening new tissue engineered constructs in normal and osteoporotic bone is described an...

For spatio-temporal chaos observed in numerical simulations of the complex Ginzburg-Landau equation (CGL) and in experiments on inclined-layer convection (ILC) we report numerical and experimental data on the statistics of defects and of defect loops. These loops consist of defect trajectories in space-time that are connected to each other through the pairwise annihilation or creation of the as...

A local numerical invariant is a map ω which assigns to a local ring R a natural number ω(R). It induces on any scheme X a partition given by the sets consisting of all points x of X for which ω(OX,x) takes a fixed value. Criteria are given for this partition to be constructible, in case X is a scheme of finite type over a field. It follows that if the partition is constructible, then it is fin...

Ideal alveolar ridge width and height allows placement of a natural appearing pontic, which provides maintenance of a plaque-free environment. The contour of a partially edentulous ridge should be thoroughly evaluated before a fixed partial denture is undertaken. Localized alveolar ridge defect refers to a volumetric deficit of the limited extent of bone and soft-tissue within the alveolar proc...

We establish that mass conserving, single terminal-linkage networks of chemical reactions admit positive steady states regardless of network deficiency and the choice of reaction rate constants. This result holds for closed systems without material exchange across the boundary, as well as for open systems with material exchange at rates that satisfy a simple sufficient and necessary condition. ...

In a previous paper we have shown that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole. These results were obtained after angular averaging, but in the current paper we go beyond this approximation and perform an exact calculation of the angular integrals. The powers of the infrared behaviour of the pr...