The Lewy extension theorem asserts the holomorphic extendability of CR functions defined in a neighborhood of a point on a hypersurface in C. The edge-of-the-wedge theorem asserts the extendability of holomorphic functions defined in wedges in C with edge a maximally real submanifold. In this article we prove under suitable hypotheses the holomorphic extendability to an open set in C of CR func...

The stepped wedge research design is becoming increasingly popular, particularly in the field of implementation science. It is a form of cluster randomised controlled trial with unidirectional cross-over (normally from control to intervention). This trial design may be biased however because the effect of calendar time is unbalanced between control and intervention periods. Hence there is conce...

Single-photon cooling (SPC), noted for its potential as a versatile method for cooling a variety of atomic species, has recently been demonstrated experimentally. In this paper, we study possible ways to improve the performance of SPC by applying it to atoms trapped inside a wedge billiard. The main feature of the wedge billiard for atoms, also experimentally realized recently, is that the natu...

High tibial osteotomy (HTO) is a surgical procedure to re-align varus or valgus mal-alignment of the knee. Medial opening wedge HTO is a surgical treatment of choice for knee varus mal-alignment with many advantages over lateral closing wedge HTO. However, the opening of the medial wedge alters the plane of the lateral tibial plateau, especially when the correction angle is large, which may be ...

Researchers should consider five questions before starting a stepped wedge trial. Why are you planning one? Researchers sometimes think that stepped wedge trials are useful when there is little doubt about the benefit of the intervention being tested. However, if the primary reason for an intervention is to measure its effect, without equipoise there is no ethical justification for delaying imp...

Almost 40 years ago the concept of the substorm current wedge was developed to explain the magnetic signatures observed on the ground and in geosynchronous orbit during substorm expansion. In the ensuing decades new observations, including radar and lowaltitude spacecraft, MHD simulations, and theoretical considerations have tremendously advanced our understanding of this system. The AMPTE/IRM,...

Two-directional differential phase contrast images were measured using an x-ray microbeam and a double wedge absorber. The wedge absorber converts the displacement of an x-ray beam that is refracted by an object into change of x-ray intensity. The double wedge absorber made it possible to detect values of two-directional refraction angle with microrad sensitivity simultaneously. By Fourier inte...

X. D. Shu, J. Wei, C. Liu: College of Mechanical Engineering and Mechanics, Ningbo University, China The paper presents a new method of one closed cross wedge rolling (CWR) based wedge block to achieve near net forming of CWR shafts. The modeling is performed by using the Finite Element Method (FEM) software DEFORM-3D. The metal flow rule of the shaft is clarified by analyzing the strain and di...

In order to demonstrate the Wedge as a parallel optic we have built a flat panel multi-projector autostereoscopic 3D display. The bulk otherwise inherent in such displays has been eliminated by use of a wedge-shaped light-guide. Two 280mm (11”) diagonal VGA resolution views were formed on a 406mm (16”) diagonal screen by pointing a pair of LED-illuminated picoprojectors measuring 115x50x22mm in...

The virtual source technique, which is based on the boundary integral method, provides the means to impose boundary conditions on arbitrarily shaped boundaries by replacing them by a collection of sources whose amplitudes are determined from the boundary conditions. In this paper the virtual source technique is used to model propagation of waves in a range-dependent ocean overlying an elastic b...