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Lamé's formulas for the eigenvalues and eigenfunctions of the Laplacian on an equilateral triangle under Dirichlet and Neumann boundary conditions are herein extended to the Robin boundary condition. They are shown to form a complete orthonormal system. Various properties of the spectrum and modal functions are explored. 1. Introduction. The eigenstructure… (More)
A comprehensive treatment of Rayleigh-Schrödinger perturbation theory for the symmetric matrix eigenvalue problem is furnished with emphasis on the degenerate problem. The treatment is simply based upon theMoore-Penrose pseudoinverse thus distinguishing it from alternative approaches in the literature. In addition to providing a concise matrixtheoretic… (More)
Most schools that offer Master's Degrees in Computer Science require some sort of culminating experience. Typically these experiences consist of a full fledged master's thesis or project, an examination based on certain core courses, or a " capstone " course.
Imaging technologies such as cine-radiography, cine-MRI, and X-ray stereo photogrammetry have become popular diagnostic tools in biomechanical studies of musculoskeletal systems. However, their widespread use for research purposes has been restricted due to their high cost and somewhat limited availability. In an attempt to develop a reliable low cost… (More)
Hikari Ltd is a publisher of international scientific journals and books. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the publisher Hikari Ltd. for all of the sacrifices that they made for their children. Preface v PREFACE In Lord Rayleigh's… (More)