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Science has made great strides in modeling space, time, mass and
energy. Yet little attention has been paid to the precise
representation of the information ubiquitous in nature.Introduction
to Evolutionary Informatics fuses results from complexity modeling
and information theory that allow both meaning and design
difficulty in nature to be measured in bits. Built on the
foundation of a series of peer-reviewed papers published by the
authors, the book is written at a level easily understandable to
readers with knowledge of rudimentary high school math. Those
seeking a quick first read or those not interested in mathematical
detail can skip marked sections in the monograph and still
experience the impact of this new and exciting model of nature's
information.This book is written for enthusiasts in science,
engineering and mathematics interested in understanding the
essential role of information in closely examined evolution theory.
Fourier analysis has many scientific applications - in physics,
number theory, combinatorics, signal processing, probability
theory, statistics, option pricing, cryptography, acoustics,
oceanography, optics and diffraction, geometry, and other areas. In
signal processing and related fields, Fourier analysis is typically
thought of as decomposing a signal into its component frequencies
and their amplitudes.
This practical, applications-based professional handbook
comprehensively covers the theory and applications of Fourier
Analysis, spanning topics from engineering mathematics, signal
processing and related multidimensional transform theory, and
quantum physics to elementary deterministic finance and even the
foundations of western music theory.
As a definitive text on Fourier Analysis, Handbook of Fourier
Analysis and Its Applications is meant to replace several less
comprehensive volumes on the subject, such as Processing of
Multifimensional Signals by Alexandre Smirnov, Modern Sampling
Theory by John J. Benedetto and Paulo J.S.G. Ferreira, Vector Space
Projections by Henry Stark and Yongyi Yang and Fourier Analysis and
Imaging by Ronald N. Bracewell. In addition to being primarily used
as a professional handbook, it includes sample problems and their
solutions at the end of each section and thus serves as a textbook
for advanced undergraduate students and beginning graduate students
in courses such as: Multidimensional Signals and Systems, Signal
Analysis, Introduction to Shannon Sampling and Interpolation
Theory, Random Variables and Stochastic Processes, and Signals and
Linear Systems.
Science has made great strides in modeling space, time, mass and
energy. Yet little attention has been paid to the precise
representation of the information ubiquitous in nature.Introduction
to Evolutionary Informatics fuses results from complexity modeling
and information theory that allow both meaning and design
difficulty in nature to be measured in bits. Built on the
foundation of a series of peer-reviewed papers published by the
authors, the book is written at a level easily understandable to
readers with knowledge of rudimentary high school math. Those
seeking a quick first read or those not interested in mathematical
detail can skip marked sections in the monograph and still
experience the impact of this new and exciting model of nature's
information.This book is written for enthusiasts in science,
engineering and mathematics interested in understanding the
essential role of information in closely examined evolution theory.
Artificial neural networks are nonlinear mapping systems whose
structure is loosely based on principles observed in the nervous
systems of humans and animals. The basic idea is that massive
systems of simple units linked together in appropriate ways can
generate many complex and interesting behaviors. This book focuses
on the subset of feedforward artificial neural networks called
multilayer perceptrons (MLP). These are the mostly widely used
neural networks, with applications as diverse as finance
(forecasting), manufacturing (process control), and science (speech
and image recognition). This book presents an extensive and
practical overview of almost every aspect of MLP methodology,
progressing from an initial discussion of what MLPs are and how
they might be used to an in-depth examination of technical factors
affecting performance. The book can be used as a tool kit by
readers interested in applying networks to specific problems, yet
it also presents theory and references outlining the last ten years
of MLP research.
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