By the Lords-Justices of Ireland [[electronic resource] ] : a proclamation. Sydney, Tho: Coningesby. Forasmuch as all the clemency and indulgence which hath been extended to the Papists of this kingdom by Their Majesties, hath hitherto missed of it's desired effect, .

• Record Nr.: UNISA996384877903316
• Pubbl/distr/stampa: Dublin, : Printed by Andrew Crook assignee of Benjamin Tooke printer to the King and Queen at their Majesties Printing-House on Ormonde Key, [1690]
• Descrizione fisica: 2 sheets ([2] p.)
• Altri autori (Persone): ConingsbyThomas Coningsby, Earl, <1656?-1729.>
• Soggetti: Catholics - Ireland - Legal status, laws, etc; Ireland History 17th century Early works to 1800; Ireland History War of 1689-1691 Early works to 1800
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from caption and opening words of text.; Imprint from colophon.; "Given at their Majesties castle of Dublin the nineteenth day of November, 1690 And in the second year of their Majesties reign.".; In this edition the initial "F" in the text is three lines tall.; Making Papists responsible for all plunder of Protestant subjects.--Steele.; Steele notation: Arms 201. esten- them 2) have back.; Reproduction of original in the British Library.
• Sommario/riassunto: eebo-0018

Scaling, fractals and wavelets [[electronic resource] /] / edited by Patrice Abry, Paulo Gonçalves, Jacques Levy Vehel

• Record Nr.: UNINA9910139468203321
• Pubbl/distr/stampa: London, : ISTE; Hoboken, NJ, : Wiley, 2009
• ISBN: 1-282-16536-4; 9786612165368; 0-470-61156-1; 0-470-39422-6
• Descrizione fisica: 1 online resource (506 p.)
• Collana: ISTE ; ; v.74
• Altri autori (Persone): AbryPatrice; GonçalvesPaulo <1967->; Lévy VéhelJacques <1960->
• Disciplina: 621.382/20151; 621.38220151
• Soggetti: Signal processing - Mathematics; Fractals; Wavelets (Mathematics)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Scaling, Fractals and Wavelets; Table of Contents; Preface; Chapter 1. Fractal and Multifractal Analysis in Signal Processing; 1.1. Introduction; 1.2. Dimensions of sets; 1.2.1. Minkowski-Bouligand dimension; 1.2.2. Packing dimension; 1.2.3. Covering dimension; 1.2.4. Methods for calculating dimensions; 1.3. Hölder exponents; 1.3.1. Hölder exponents related to a measure; 1.3.2. Theorems on set dimensions; 1.3.3. Hölder exponent related to a function; 1.3.4. Signal dimension theorem; 1.3.5. 2-microlocal analysis; 1.3.6. An example: analysis of stock market price; 1.4. Multifractal analysis; 1.4.1. What is the purpose of multifractal analysis?1.4.2. First ingredient: local regularity measures; 1.4.3. Second ingredient: the size of point sets of the same regularity; 1.4.4. Practical calculation of spectra; 1.4.5. Refinements: analysis of the sequence of capacities, mutual analysis and multisingularity; 1.4.6. The multifractal spectra of ; certain simple signals; 1.4.7. Two applications; 1.4.7.1. Image segmentation; 1.4.7.2. Analysis of TCP traffic; 1.5. Bibliography; Chapter 2. Scale Invariance and Wavelets; 2.1. Introduction; 2.2. Models for scale invariance; 2.2.1. Intuition; 2.2.2. Self-similarity2.2.3. Long-range dependence; 2.2.4. Local regularity; 2.2.5. Fractional Brownian motion: paradigm of scale invariance; 2.2.6. Beyond the paradigm of scale invariance; 2.3.Wavelet transform; 2.3.1. Continuous wavelet transform; 2.3.2. Discretewavelet transform; 2.4. Wavelet analysis of scale invariant processes; 2.4.1. Self-similarity; 2.4.2. Long-range dependence; 2.4.3. Local regularity; 2.4.4. Beyond second order; 2.5. Implementation: analysis, detection and estimation; 2.5.1. Estimation of the parameters of scale invariance; 2.5.2. Emphasis on scaling laws and determination of the scaling range2.5.3. Robustness of the wavelet approach; 2.6. Conclusion; 2.7. Bibliography; Chapter 3. Wavelet Methods for Multifractal Analysis of Functions; 3.1. Introduction; 3.2. General points regarding multifractal functions; 3.2.1. Important definitions; 3.2.2. Wavelets and pointwise regularity; 3.2.3. Local oscillations; 3.2.4. Complements; 3.3. Random multifractal processes; 3.3.1. Lévy processes; 3.3.2. Burgers' equation and Brownian motion; 3.3.3. Random wavelet series; 3.4. Multifractal formalisms; 3.4.1. Besov spaces and lacunarity3.4.2. Construction of formalisms; 3.5. Bounds of the spectrum; 3.5.1. Bounds according to the Besov domain; 3.5.2. Bounds deduced from histograms; 3.6. The grand-canonical multifractal formalism; 3.7. Bibliography; Chapter 4. Multifractal Scaling: General Theory and Approach by Wavelets; 4.1. Introduction and summary; 4.2. Singularity exponents; 4.2.1. Hölder continuity; 4.2.2. Scaling of wavelet coefficients; 4.2.3. Other scaling exponents; 4.3. Multifractal analysis; 4.3.1. Dimension based spectra; 4.3.2. Grain based spectra; 4.3.3. Partition function and Legendre spectrum
• Sommario/riassunto: 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