000			02751nam a22004335i 4500
001			978-1-4614-5562-2
003			DE-He213
005			20140220082820.0
007			cr nn 008mamaa
008			121212s2013 xxu| s |||| 0|eng d
020			_a9781461455622 _9978-1-4614-5562-2
024	7		_a10.1007/978-1-4614-5562-2 _2doi
050		4	_aQA276-280
072		7	_aPBT _2bicssc
072		7	_aMAT029000 _2bisacsh
082	0	4	_a519.5 _223
100	1		_aViana, Marlos A. G. _eauthor.
245	1	0	_aDihedral Fourier Analysis _h[electronic resource] : _bData-analytic Aspects and Applications / _cby Marlos A. G. Viana, Vasudevan Lakshminarayanan.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aXVI, 118 p. 48 illus., 46 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aSymmetry and Experimental Data -- Algebraic and Data-Analytic Aspects -- Curvature and Refraction Data -- Symbolic Sequences -- Symmetry Preference and Perception -- Other Applications -- Glossary -- Index.
520			_aDihedral 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.
650		0	_aStatistics.
650		0	_aMathematical statistics.
650	1	4	_aStatistics.
650	2	4	_aStatistical Theory and Methods.
650	2	4	_aStatistics, general.
700	1		_aLakshminarayanan, Vasudevan. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461455615
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-5562-2
912			_aZDB-2-SMA
999			_c95445 _d95445