The Number Of Lattice Points In A K Dimensional Hypersphere
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The Number Of Lattice Points In A K Dimensional Hypersphere
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Author : W. C. Mitchell
language : en
Publisher:
Release Date : 1965
The Number Of Lattice Points In A K Dimensional Hypersphere written by W. C. Mitchell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Hyperspace categories.
Lattice Points
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Author : Ekkehard Krätzel
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-03-31
Lattice Points written by Ekkehard Krätzel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-31 with Mathematics categories.
This book is devoted to a special problem of number theory, that is the estimation of the number of lattice points in large closed domains of ordinary Euclidean spaces. Circle and sphere problems, Dirichlet's divisor problem, the distribution of powerful numbers, and finite Abelian groups are also investigated. The object of this book is to acquaint the reader with the fundamental results and methods, so that follow up with the original papers is possible.
Sphere Packings Lattices And Groups
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Author : John H. Conway
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Sphere Packings Lattices And Groups written by John H. Conway and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
The main themes. This book is mainly concerned with the problem of packing spheres in Euclidean space of dimensions 1,2,3,4,5, . . . . Given a large number of equal spheres, what is the most efficient (or densest) way to pack them together? We also study several closely related problems: the kissing number problem, which asks how many spheres can be arranged so that they all touch one central sphere of the same size; the covering problem, which asks for the least dense way to cover n-dimensional space with equal overlapping spheres; and the quantizing problem, important for applications to analog-to-digital conversion (or data compression), which asks how to place points in space so that the average second moment of their Voronoi cells is as small as possible. Attacks on these problems usually arrange the spheres so their centers form a lattice. Lattices are described by quadratic forms, and we study the classification of quadratic forms. Most of the book is devoted to these five problems. The miraculous enters: the E 8 and Leech lattices. When we investigate those problems, some fantastic things happen! There are two sphere packings, one in eight dimensions, the E 8 lattice, and one in twenty-four dimensions, the Leech lattice A , which are unexpectedly good and very 24 symmetrical packings, and have a number of remarkable and mysterious properties, not all of which are completely understood even today.
Sphere Packings Lattices And Groups
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Author : John Conway
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-12-07
Sphere Packings Lattices And Groups written by John Conway and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-07 with Mathematics categories.
The third edition of this definitive and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items.
Geostatistical Functional Data Analysis
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Author : Jorge Mateu
language : en
Publisher: John Wiley & Sons
Release Date : 2021-12-13
Geostatistical Functional Data Analysis written by Jorge Mateu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-13 with Social Science categories.
Geostatistical Functional Data Analysis Explore the intersection between geostatistics and functional data analysis with this insightful new reference Geostatistical Functional Data Analysis presents a unified approach to modelling functional data when spatial and spatio-temporal correlations are present. The Editors link together the wide research areas of geostatistics and functional data analysis to provide the reader with a new area called geostatistical functional data analysis that will bring new insights and new open questions to researchers coming from both scientific fields. This book provides a complete and up-to-date account to deal with functional data that is spatially correlated, but also includes the most innovative developments in different open avenues in this field. Containing contributions from leading experts in the field, this practical guide provides readers with the necessary tools to employ and adapt classic statistical techniques to handle spatial regression. The book also includes: A thorough introduction to the spatial kriging methodology when working with functions A detailed exposition of more classical statistical techniques adapted to the functional case and extended to handle spatial correlations Practical discussions of ANOVA, regression, and clustering methods to explore spatial correlation in a collection of curves sampled in a region In-depth explorations of the similarities and differences between spatio-temporal data analysis and functional data analysis Aimed at mathematicians, statisticians, postgraduate students, and researchers involved in the analysis of functional and spatial data, Geostatistical Functional Data Analysis will also prove to be a powerful addition to the libraries of geoscientists, environmental scientists, and economists seeking insightful new knowledge and questions at the interface of geostatistics and functional data analysis.
Solved And Unsolved Problems In Number Theory
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Author : Daniel Shanks
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Solved And Unsolved Problems In Number Theory written by Daniel Shanks and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Electronic books categories.
Mathematics Of Computation
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Author :
language : en
Publisher:
Release Date : 1960*
Mathematics Of Computation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960* with Electronic journals categories.
Reviews In Number Theory As Printed In Mathematical Reviews 1940 Through 1972 Volumes 1 44 Inclusive
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Author : William Judson LeVeque
language : en
Publisher:
Release Date : 1974
Reviews In Number Theory As Printed In Mathematical Reviews 1940 Through 1972 Volumes 1 44 Inclusive written by William Judson LeVeque and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Bulletin Of Number Theory And Related Topics
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Author :
language : en
Publisher:
Release Date : 1979
Bulletin Of Number Theory And Related Topics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Number theory categories.
Report
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Author :
language : en
Publisher:
Release Date : 1965
Report written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Computers categories.