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Wavelets And Wavelet Transforms With Trigonometric Partitions

By Orellana Díaz

Wavelets And Wavelet Transforms With Trigonometric Partitions

By Orellana Díaz

0 - Default Title
Description
Wavelets and Wavelet Transforms with Trigonometric Partitions introduces a new mathematical methodology that expands and redefines traditional wavelet theory. Building on the author's foundational work on Spiral Angles, Spirals, and Trigonometric Partitions, this volume presents a unified framework in which wavelets are generated directly from the components of a circle using novel trigonometric partition equations.This book demonstrates how the radius of a circle expressed through elements such as the apothem, arrow, chord, circular sector, and radius growth can serve as the basis for producing a wide variety of wavelets without relying on SINC functions or classical Fourier-based constructions. The author shows how these transformations lead to new families of wavelets, large-crest wavelets, and multi-wavelet systems, while maintaining analytical clarity and mathematical rigor.Through detailed explanations, diagrams, and equations, readers learn how to construct wavelets under different conditions, analyze their frequency and angular properties, and apply trigonometric partitions to complex systems including harmonic motion, circular motion, and quantum-related models. This volume offers a powerful alternative to current wavelet methodologies, opening the door to innovative applications in physics, engineering, and signal processing.Both practitioners and researchers in applied mathematics, computational modeling, and engineering disciplines will benefit from this groundbreaking framework that blends geometric intuition with advanced mathematical theory.
Product details
Number of Pages:
126
Release Date:
2025-12-04
Publication Date:
2025-12-04
Publisher:
José Mauricio Orellana Díaz
Languages:
Original: English
ISBN13:
9798295458651
Weight:
597 g
Height:
221 cm
Width:
286 cm
Thickness:
12 cm
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