Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents (Encyclopedia of Mathematics and its Applications) by Kevin Broughan
C. Vasudev, “Combinatorics and Graph Theory”
Continuous Fuzzy Evaluation Methods: A Novel Tool for the Analysis and Decision Making in Football (or Soccer) Matches
An Introduction to Nonassociative Algebras by Richard D. Schafer
Soft Computing : Developments, Methods and Applications
?Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents (Encyclopedia of Mathematics and its Applications) by Kevin Broughan
2017 | ISBN: 1107197120 | English | 488 pages | PDF| 8 MB
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.
?C. Vasudev, “Combinatorics and Graph Theory”
English | 2007 | ISBN: 8122421237 | PDF | pages: 577 | 4.0 mb
?Continuous Fuzzy Evaluation Methods: A Novel Tool for the Analysis and Decision Making in Football (or Soccer) Matches
Springer | English | Dec 2017 | ISBN-10: 3319707507 | 83 pages | PDF | 1.57 mb
by Ranjit Biswas (Author)
This book presents a proposal for a new soft computing innovative method called by “CFE” forevaluation of the football matches of FIFA(IFAB) and UEFA to compute the true ‘Winner’. It is a research work in the area of ‘Football Science’, being proposed to FIFA (IFAB) and UEFA, Zurich, Switzerland for consideration to replace the existing obsolete and weak rules of football matches of 90 minutes to declare the final ‘Winner’. In CFE, the final decision about any football match of 90 minutes is obtained “by computation”, by execution of a software called by ‘CFE-software’ with the real time input values directly from the field on a number of highly significant parameters, some of them being continuous variables. The result of m-n goals at the end of 90 minutes play in a football match is just one of the many parameters for the computation of the ‘Winner’ in our proposed CFE method. The evaluation is mainly based upon the application of Fuzzy Logic, ‘Fuzzy Pocket Machine’, fast Computer Server, good Communication system from playing-field to the server (as used in Cricket matches) and the CFE-software at the server. The Referees need not be experts in fuzzy set theory; they can be easily trained within just 30 minutes of demonstration on : how to use the ‘fuzzy pocket machine’ for giving real time inputs to the database at the server.
?An Introduction to Nonassociative Algebras by Richard D. Schafer
English | November 15th, 2017 | ASIN: B0778BC78B, ISBN: 1544892969, 0486164179 | 176 Pages | EPUB | 29.89 MB
“An important addition to the mathematical literature … contains very interesting results not available in other books; written in a plain and clear style, it reads very smoothly.” — Bulletin of the American Mathematical Society
This concise study was the first book to bring together material on the theory of nonassociative algebras, which had previously been scattered throughout the literature. It emphasizes algebras that are, for the most part, finite-dimensional over a field. Written as an introduction for graduate students and other mathematicians meeting the subject for the first time, the treatment’s prerequisites include an acquaintance with the fundamentals of abstract and linear algebra.
After an introductory chapter, the book explores arbitrary nonassociative algebras and alternative algebras. Subsequent chapters concentrate on Jordan algebras and power-associative algebras. Throughout, an effort has been made to present the basic ideas, techniques, and flavor of what happens when the associative law is not assumed. Many of the proofs are given in complete detail.
?Soft Computing : Developments, Methods and Applications
English | 2016 | ISBN: 1634851331 | 161 Pages | PDF | 5.8 MB
This book discusses developments, methods and applications of soft computing. Chapter One depicts the increasing efficiency of the soft computing algorithms and fuzzy information processing models by developing a library of universal analytic models for fuzzy arithmetic operations with asymmetrical triangular fuzzy numbers (TrFNs). Chapter Two examines the determination of stability number of layered slope using Adaptive Neuro-Fuzzy Inference System (ANFIS), Gaussian Process Regression (GPR), Relevance Vector Machine (RVM), Extreme Learning Machine (ELM). Chapter Three discusses the intensive developing of Soft Computing systems especially Wavelet-Neuro-Fuzzy Systems (WNFS) in Dynamic Data Mining tasks, when the data are fed sequentially to the processing in on-line mode.