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Dihedral Fourier analysis data-analytic aspects and applications Marlos A.G. Viana, Vasudevan Lakshminarayanan
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online
View online- Format:
- Book
- Author/Creator:
- Viana, Marlos A. G.
- Series:
- Lecture notes in statistics (Springer-Verlag) v. 206
- Lecture notes in statistics 206
- Language:
- English
- Subjects (All):
- Fourier analysis.
- Fourier Analysis.
- Medical Subjects:
- Fourier Analysis.
- Physical Description:
- 1 online resource
- Place of Publication:
- New York Springer ©2013
- Language Note:
- English
- System Details:
- text file
- Summary:
- 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 statistics
- Contents:
- Symmetry and Experimental Data Algebraic and Data-Analytic Aspects Curvature and Refraction Data Symbolic Sequences Symmetry Preference and Perception Other Applications
- Notes:
- Includes bibliographical references and index
- Print version record
- Other Format:
- Print version Viana, Marlos A.G. Dihedral fourier analysis
- ISBN:
- 9781461455622
- 1461455626
- 1283934205
- 9781283934206
- OCLC:
- 822263699
- Access Restriction:
- Restricted for use by site license
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