Symmetry studies : an introduction to the analysis of structured data in applications [E-Book] / Marlos A.G. Viana.
Viana, Marlos A. G., (author)
Cambridge : Cambridge University Press, 2008
1 online resource (x, 235 pages)
englisch
9780511755477
9780521841030
Cambridge series on statistical and probabilistic mathematics ; 26
Full Text
LEADER 02694nam a22003498i 4500
001 CR9780511755477
003 UkCbUP
008 100422s2008||||enk o ||1 0|eng|d
020 |a 9780511755477 
020 |a 9780521841030 
035 |a (Sirsi) a791703 
041 |a eng 
082 0 0 |a 519.5  |2 22 
100 1 |a Viana, Marlos A. G.,  |e author 
245 1 0 |a Symmetry studies :  |b an introduction to the analysis of structured data in applications  |h [E-Book] /  |c Marlos A.G. Viana. 
264 1 |a Cambridge :  |b Cambridge University Press,  |c 2008  |e (CUP)  |f CUP20200108 
300 |a 1 online resource (x, 235 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 |a Cambridge series on statistical and probabilistic mathematics ;  |v 26 
500 |a englisch 
505 0 |a Symmetry, 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 |a Experimental 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 |a Symmetry (Mathematics) 
650 0 |a Statistics  |x Data processing. 
650 0 |a Probabilities  |x Data processing. 
650 0 |a Data structures (Computer science) 
856 4 0 |u https://doi.org/10.1017/CBO9780511755477  |z Volltext 
932 |a CambridgeCore (Order 30059) 
596 |a 1 
949 |a XX(791703.1)  |w AUTO  |c 1  |i 791703-1001  |l ELECTRONIC  |m ZB  |r N  |s Y  |t E-BOOK  |u 8/1/2020  |x UNKNOWN  |z UNKNOWN  |1 ONLINE