02694nam a22003498i 4500001001600000003000700016008004100023020001800064020001800082035002000100041000800120082001400128100003300142245012300175264007100298300003700369336002600406337002600432338003600458490007200494500001300566505040600579520102600985650002702011650003302038650003602071650003902107856005502146932003202201596000602233949010502239CR9780511755477UkCbUP100422s2008||||enk o ||1 0|eng|d a9780511755477 a9780521841030 a(Sirsi) a791703 aeng00a519.52221 aViana, Marlos A. G.,eauthor10aSymmetry studies :ban introduction to the analysis of structured data in applicationsh[E-Book] /cMarlos A.G. Viana. 1aCambridge :bCambridge University Press,c2008e(CUP)fCUP20200108 a1 online resource (x, 235 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aCambridge series on statistical and probabilistic mathematics ;v26 aenglisch0 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. 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. 0aSymmetry (Mathematics) 0aStatisticsxData processing. 0aProbabilitiesxData processing. 0aData structures (Computer science)40uhttps://doi.org/10.1017/CBO9780511755477zVolltext aCambridgeCore (Order 30059) a1 aXX(791703.1)wAUTOc1i791703-1001lELECTRONICmZBrNsYtE-BOOKu8/1/2020xUNKNOWNzUNKNOWN1ONLINE