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Scaling, Fractals and Wavelets

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Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling ? self-similarity, long-range dependence and multi-fractals ? are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.

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Probability, Statistical Optics and Data Testing (Springer Series in Information Sciences)
Probability, Statistical Optics and Data Testing (Springer Series in Information Sciences)
Scientists in optics are increasingly confronted with problems that are of a random nature and that require a working knowledge of probability and statistics for their solution. This textbook develops these subjects within the context of optics using a problem-solving approach. All methods are explicitly derived and can be traced back to three...
Packet Switching And X.25 Networks
Packet Switching And X.25 Networks
When computers started to become business tools and to assume an essential role in all companies, they were very large both physically and in terms of capital and revenue cost. Indeed, when erecting a new building the company would have to design features especially for the computer. A big room to house it, separate power supplies, large...
A Practical Guide to TPM 2.0: Using the Trusted Platform Module in the New Age of Security
A Practical Guide to TPM 2.0: Using the Trusted Platform Module in the New Age of Security

A Practical Guide to TPM 2.0: Using the Trusted Platform Module in the New Age of Security is a straight-forward primer for developers. It shows security and TPM concepts, demonstrating their use in real applications that the reader can try out.

Simply put, this book is designed to empower and excite the...


Microsoft Dynamics CRM 2011 Reporting and Business Intelligence
Microsoft Dynamics CRM 2011 Reporting and Business Intelligence

Everything you need to know to work with reports in Dynamics CRM 2011

Overview

  • Create reports with SQL Reporting Services for CRM
  • Empower your reports with the different Report Wizards and dashboards
  • Troubleshoot and optimize your reports for better performance
...
.NET Development Security Solutions
.NET Development Security Solutions

The .NET Framework offers new, more effective ways to secure your Web and LAN-based applications. Sybex’s .NET Development Security Solutions uses detailed, code-intensive examples—lots of them—to teach you the right techniques for most scenarios you’re likely to encounter. This is not an introduction to...

Real Analysis and Probability (Cambridge Studies in Advanced Mathematics)
Real Analysis and Probability (Cambridge Studies in Advanced Mathematics)

This classic textbook, now reissued, offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The new edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on...

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