000			02858nam a22003858i 4500
001			CR9780511755477
003			UkCbUP
005			20200124160223.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100422s2008||||enk o ||1 0|eng|d
020			_a9780511755477 (ebook)
020			_z9780521841030 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA174.7.S96 _bV53 2008
082	0	0	_a519.5 _222
100	1		_aViana, Marlos A. G., _eauthor.
245	1	0	_aSymmetry studies : _ban introduction to the analysis of structured data in applications / _cMarlos A.G. Viana.
264		1	_aCambridge : _bCambridge University Press, _c2008.
300			_a1 online resource (x, 235 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge series on statistical and probabilistic mathematics ; _v26
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aSymmetry, classification and the analysis of structured data -- Sorting the labels: groups actions and orbits -- Connecting symmetries and data: linear representations -- Data reduction and inference: the canonical projections and their invariants -- Examples and techniques -- Symmetry studies of short symbolic sequences -- Symmetry studies of curvature data -- Symmetry studies of planar chirality.
520			_aExperimental data can often be associated with or indexed by certain symmetrically interesting structures or sets of labels that appear, for example, in the study of short symbolic sequences in molecular biology, in preference or voting data, in (corneal) curvature data, and in studies of the handedness and entropy of symbolic sequences and elementary images. The symmetry studies introduced in this book describe the interplay among symmetry transformations that are characteristic of these sets of labels, their resulting classification, the algebraic decomposition of the data indexed by them, and the statistical analysis of the invariants induced by those decompositions. The overall purpose is to facilitate and guide the statistical study of the structured data from both a descriptive and inferential perspective. The text combines notions of algebra and statistics and develops a systematic methodology to better explore the interplay between symmetry-related research questions and their statistical analysis.
650		0	_aSymmetry (Mathematics)
650		0	_aStatistics _xData processing.
650		0	_aProbabilities _xData processing.
650		0	_aData structures (Computer science)
776	0	8	_iPrint version: _z9780521841030
830		0	_aCambridge series on statistical and probabilistic mathematics ; _v26.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511755477
999			_c516935 _d516933