Author: Charles F. HobbsPublisher:
ISBN:
Category : Error analysis (Mathematics)
Languages : en
Pages : 14
Book Description
Approximating the Performance of a Binary Group Code
Author: Charles F. HobbsPublisher:
ISBN:
Category : Error analysis (Mathematics)
Languages : en
Pages : 14
Book Description
Combinatorics
Author: M. Hall Jr.Publisher: Springer Science & Business Media
ISBN: 940101826X
Category : Mathematics
Languages : en
Pages : 480
Book Description
Combinatorics has come of age. It had its beginnings in a number of puzzles which have still not lost their charm. Among these are EULER'S problem of the 36 officers and the KONIGSBERG bridge problem, BACHET's problem of the weights, and the Reverend T.P. KIRKMAN'S problem of the schoolgirls. Many of the topics treated in ROUSE BALL'S Recreational Mathe matics belong to combinatorial theory. All of this has now changed. The solution of the puzzles has led to a large and sophisticated theory with many complex ramifications. And it seems probable that the four color problem will only be solved in terms of as yet undiscovered deep results in graph theory. Combinatorics and the theory of numbers have much in common. In both theories there are many prob lems which are easy to state in terms understandable by the layman, but whose solution depends on complicated and abstruse methods. And there are now interconnections between these theories in terms of which each enriches the other. Combinatorics includes a diversity of topics which do however have interrelations in superficially unexpected ways. The instructional lectures included in these proceedings have been divided into six major areas: 1. Theory of designs; 2. Graph theory; 3. Combinatorial group theory; 4. Finite geometry; 5. Foundations, partitions and combinatorial geometry; 6. Coding theory. They are designed to give an overview of the classical foundations of the subjects treated and also some indication of the present frontiers of research.
Magneto-ionic Coupling in an Inhomogeneous Medium
Author: Yūji InouePublisher:
ISBN:
Category : Atmospheric models
Languages : en
Pages : 46
Book Description
The propagation of electromagnetic waves in a horizontally stratified layer of gyrotropic medium is discussed. Derivation of a comprehensive representation for magneto-ionic coupling coefficients allows interpretation of the physical significance of the coupling. Introduction of an invariant quantity for an inhomogeneous medium becomes an important guide for numerical solutions of the wave equation. Numerical results of magneto-ionic coupling coefficients are presented. Based on region properties, characteristic wave types are defined: for the isotropic region, linearly polarized waves are used; for the anisotropic region, elliptically polarized waves generally are applied. (Author).
Infrared Properties of NiO and CoO and Their Mixed Crystals
Author: Peter J. GielissePublisher:
ISBN:
Category : Cobalt
Languages : en
Pages : 18
Book Description
Microwave Dielectric Resonators
Author: Sally J. NaumanPublisher:
ISBN:
Category : Dielectric resonators
Languages : en
Pages : 162
Book Description
The resonant frequencies for the fundamental modes in circular cylindrical and rectangular parallelopiped high dielectric resonators have been calculated by computer for a range of values of physical dimensions and relative dielectric constant. The frequency range extends from zero to 50,000 Mc/sec, the relative dielectric constant from 50 to 1800, and physical dimensions from zero to 500 mils. Results are presented in tabular and graphical form with frequency plotted versus resonator length for parametric values of relative dielectric constant and cross sectional dimensions. A brief review of earlier work with high dielectric resonators is included. Expressions for the resonant frequency and fundamental mode field configurations are given. (Author).
Wave Phenomena in Ionized Gases
Author: Cap HaskellPublisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 56
Book Description
Characteristic Frequencies from Infrared and Elastic Data
Author: Johannes N. PlendlPublisher:
ISBN:
Category : Dielectrics
Languages : en
Pages : 14
Book Description
Can Logic Arrays be Kept Flexible?
Author: William F. King (III)Publisher:
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 14
Book Description
This report introduces the modifiable logic array concept and describes early investigations concerning a modifiable eight-neighbor array. The problems of analysis and synthesis in such a topological limited space are considered.
The Preparation and Structure of Thin Films of Boron on Silicon
Author: E. T. PetersAsymptotic Solutions of Dipoles in a Semi-infinite Medium
Author: Kondagunta U. SivaprasadPublisher:
ISBN:
Category : Antennas (Electronics)
Languages : en
Pages : 62
Book Description
A theoretical analysis is made of the electromagnetic fields in two homogeneous media separated by a plane interface with a point source located in the denser medium. The solution is expressed in the form of integrals which cannot be evaluated explicitly. Asymptotic evaluations of the integrals have been made by many investigators using the saddlepoint technique. In the present work, all known asymptotic results are presented in one comprehensive form, using a modification of the method suggested by Lighthill for the asymptotic evaluation of the Fourier integrals. The regions of validity of the solutions are indicated wherever possible. The advantage of this method over others is its ease and simplicity. The present results agree term by term with the earlier ones of Banos and Wesley (1953-1954), and Paul (1959), who investigated the case of a source and receiver close to the interface, and an arbitrary location of source and receiver, respectively. The results obtained in the report are also compared with those of Stein (1955). (Author).