Dihedral Fourier Analysis
Data-analytic Aspects and Applications
Seiten
2012
Springer-Verlag New York Inc.
978-1-4614-5561-5 (ISBN)
Springer-Verlag New York Inc.
978-1-4614-5561-5 (ISBN)
Dihedral Fourier Analysis introduces the theory and applications necessary to study experimental data indexed by, or associated with, the points in a dihedral symmetry orbit.
This book looks at experimental data and analytical models indexed by certain dihedral rotations and reversals realized as vector fields.
Dihedral Fourier Analysis introduces the theory and applications necessary to study experimental data indexed by, or associated with, the points in a dihedral symmetry orbit.
This book looks at experimental data and analytical models indexed by certain dihedral rotations and reversals realized as vector fields. Its particular relevance as a research tool in areas such as optical and molecular biology statistics appears when formulated within the context of symmetry studies, which formally connects algebraic and statistical reasoning together in one methodology for data summary and inference.
Chapter 1 presents an overview of the theory and methods of dihedral analysis. It introduces data sets and examples defining and connecting the algebraic notions of symmetry with those of statistical summaries and inference. Chapter 2 includes the required algebraic aspects and data-analytic results. Chapters 3-6 offer applications of the methods presented in the text. This book is intended for data analysts of both theoretical and applied interests.
This book looks at experimental data and analytical models indexed by certain dihedral rotations and reversals realized as vector fields.
Dihedral Fourier Analysis introduces the theory and applications necessary to study experimental data indexed by, or associated with, the points in a dihedral symmetry orbit.
This book looks at experimental data and analytical models indexed by certain dihedral rotations and reversals realized as vector fields. Its particular relevance as a research tool in areas such as optical and molecular biology statistics appears when formulated within the context of symmetry studies, which formally connects algebraic and statistical reasoning together in one methodology for data summary and inference.
Chapter 1 presents an overview of the theory and methods of dihedral analysis. It introduces data sets and examples defining and connecting the algebraic notions of symmetry with those of statistical summaries and inference. Chapter 2 includes the required algebraic aspects and data-analytic results. Chapters 3-6 offer applications of the methods presented in the text. This book is intended for data analysts of both theoretical and applied interests.
Symmetry and Experimental Data.- Algebraic and Data-Analytic Aspects.- Curvature and Refraction Data.- Symbolic Sequences.- Symmetry Preference and Perception.- Other Applications.- Glossary.- Index.
| Erscheint lt. Verlag | 12.12.2012 |
|---|---|
| Reihe/Serie | Lecture Notes in Statistics ; 1026 |
| Zusatzinfo | 46 Illustrations, color; 2 Illustrations, black and white; XVI, 118 p. 48 illus., 46 illus. in color. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Schlagworte | Analysis • Data • Dihedral • fourier analysis • Orbit Display • Refraction Data |
| ISBN-10 | 1-4614-5561-8 / 1461455618 |
| ISBN-13 | 978-1-4614-5561-5 / 9781461455615 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
Springer Spektrum (Verlag)
CHF 62,95
Eine Einführung in die faszinierende Welt des Zufalls
Buch | Softcover (2024)
Springer Spektrum (Verlag)
CHF 55,95
