In this paper we construct an infinite family of Goethals-Seidel arrays and prove the theorem: If q = 4n − 1 is a prime power ≡ 3(mod 8), then there exists an Hadamard matrix of order 4n of Goethals-Seidel type.

This paper is concerned with energy properties of the wave equation associated to the Dunkl-Cherednik Laplacian. We establish the conservation of the total energy, the strict equipartition of energy under suitable assumptions and the asymptotic equipartition in the general case. Mathematics Subject Index 2000: Primary 35L05 ; Secondary 22E30, 33C67, 35L65, 58J45

The 1D discrete fractional Laplacian operator on a cyclically closed (periodic) linear chain with finite number N of identical particles is introduced. We suggest a ”fractional elastic harmonic potential”, and obtain the N -periodic fractional Laplacian operator in the form of a power law matrix function for the finite chain (N arbitrary not necessarily large) in explicit form. In the limiting ...

Laurence Seidel, Adelin Albert, Jean-Olivier Defraigne, Nicos Labropoulos and Natzi Alain Nchimi, Jean-Paul Cheramy-Bien, T. Christian Gasser, Gauthier Namur, Pierre Gomez, Tomography Signaling and Biomechanical Properties in Unruptured Aortic Aneurysms F-Fluoro-Deoxy-Glucose Positron Emission 18 Multifactorial Relationship Between Print ISSN: 1941-9651. Online ISSN: 1942-0080 Copyright © 2013 ...

The purpose of multi-focus image fusion is gathering the essential information and the focused parts from the input multi-focus images into a single image. These multifocused images are captured with different depths of focus of cameras. Multi-focus image fusion is very time-saving and appropriate in discrete cosine transform (DCT) domain, especially when JPEG images are used in visual sensor n...

The use of smart grid systems is a good opportunity for the future electric energy resilience in future. design that electrical sources through PLN (National Power Plant), PV Solar System and Battery as backup can improve efficiency electricity grid. To ensure system feasible, it necessary to analyze power flow system. analysis performed on each case contained network with Gauss-Seidel Method. ...

For Ax = b, it has recently been reported that the convergence of the preconditioned Gauss-Seidel iterative method which uses a matrix of the type P = I + S (α) to perform certain elementary row operations on is faster than the basic Gauss-Seidel method. In this paper, we discuss the adaptive Gauss-Seidel iterative method which uses P = I + S (α) + K̄ (β) as a preconditioner. We present some com...