In this paper, I will derive a measure of entanglement that coincides with the generalized concurrence for a general pure bi-and three-partite state based on wedge product. I will show that a further generalization of this idea to a general pure multipartite state with more than three subsystems will fail to quantify entanglement, but it defines the set of separable state for such composite state.

There is a wedge product notation that can facilitate the computation of matrix Jacobians. In point of fact, it is never needed at all. The reader who can follow the derivation of the Jacobian in Handout #2 is well equipped to never use wedge products. The notation also expresses the concept of volume on curved surfaces. For advanced readers who truly wish to understand exterior products from a...

We show that the 3D wedge filling transition in the presence of shortranged interactions can be first-order or second order depending on the strength of the line tension associated with to the wedge bottom. This fact implies the existence of a tricritical point characterized by a short-distance expansion which differs from the usual continuous filling transition. Our analysis is based on an eff...

Cubitus varus or “gunstock” deformity, a common longterm complication of a supracondylar fracture [1]. Components of cubitus varus deformity are: a) medial angulation, b) medial rotation, c) extension of distal fragment with or without d) medial epicondyle epiphyseal injury leading to delayed growth of medial condyle and cubitus varus deformity [2]. It is generally believed that functional impa...

Interferometer mea!furemmts are gil'en of the flow fields near two-dimensional u:edge and circular-arc sections at zero angle · of attack at high-g-ubsom·c and lO'IJHJ1.lpersonic t·elocities. Both 8'1/.bsonic flou· with local 8Upersonic zone and supmmnic flow with detach~d shoe!..· u:au hau been inrestigated. Pressure distrib-utifYT!s and drag coefficients as functions of }1fach number hare bee...

The effect of wedge-shaped fan flow deflectors on the mean and turbulent flow-fields of dual-stream jets is investigated. Several wedge-shaped deflector concepts were used to create asymmetry in the plume of a dual-stream jet issuing from a scaled down version of the NASA Glenn ‘5BB’ bypass-ratio 8 turbofan nozzle. The deflector configurations comprised internal and external wedges with and wit...

The purpose of this study was to develop and evaluate filmless quality assurance (QA) tools for helical tomotherapy by using the signals from the on-board megavoltage computed tomography (MVCT) detector and applying a dedicated step-wedge phantom. The step-wedge phantom is a 15 cm long step-like aluminum block positioned on the couch. The phantom was moved through the slit beam and MVCT detecto...

Crystallization is of great importance in fields as diverse as atmospheric chemistry and the pharmaceutical industry. It starts with nucleation, the formation of a microscopic crystal. Here we study, via computer simulation, the heterogeneous nucleation of a crystal in wedge-shaped grooves in a surface. We find that nucleation in these grooves is many orders of magnitude faster than on a flat s...