Abstract This article introduces a new method to construct volume-filling symplectic embeddings of 4-dimensional ellipsoids by employing polytope mutations in toric and almost varieties. The construction uniformly recovers the full sequences for Fibonacci Staircase McDuff–Schlenk, Pell Frenkel–Müller Cristofaro-Gardiner–Kleinman Staircase, adds infinite ellipsoid embeddings. In addition, we ini...

In this paper the problem of minimum cost communication network design is considered where the costs are piecewise linear concave. Several methods are compared: Simulated Annealing method, a heuristic based on the method proposed by Minoux, and a lagrangian method based on lower bounding procedure.

In this survey we review the recently developed theory of anisotropic spaces and representations of functions based on anisotropic multilevel ellipsoid covers (dilations) of Rn. We also exhibit the relations of the ellipsoid cover approach to earlier concepts of anisotropic structures as well as to the framework of general spaces of homogeneous type. A number of open problems are presented and ...

We deduce some approximate formulas for the distance evaluation problem between a point and an ellipse in IR2 and a point and an ellipsoid in IR3. The proposed approach is based on the analytical representation of the distance function as a zero of an appropriate univariate algebraic equation. Key–Words: Distance, point-to-ellipse, point-to-ellipsoid

Purpose: Scoliosis is one of the most common spinal deformities that affect chest wall mechanics. Scoliosis results in ventilator disorders and respiratory muscle weakness. However, the mechanism of these disorders is still unknown. The main objective of this study was to identify the intensity of respiratory muscles activity in patients with idiopathic scoliosis compare with healthy indi...