Latin squares: Leonhard Euler, Quasigroup, Latin square, Mathematics of Sudoku, Graeco-Latin square, R. C. Bose, Circulant matrix - Softcover
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 27. Chapters: Leonhard Euler, Quasigroup, Latin square, Mathematics of Sudoku, Graeco-Latin square, R. C. Bose, Circulant matrix, Problems in Latin squares, Latin hypercube sampling, Small Latin squares and quasigroups, Hyper-Graeco-Latin square design, Sharadchandra Shankar Shrikhande, Futoshiki, E. T. Parker, Dinitz conjecture, Thirty-six officers problem, Latin square property, Latin rectangle. Excerpt: The class of Sudoku puzzles consists of a partially completed row-column grid of cells partitioned into N regions each of size N cells, to be filled in using a prescribed set of N distinct symbols (typically the numbers ), so that each row, column and region contains exactly one of each element of the set. The puzzle can be investigated using mathematics. The mathematical analysis of Sudoku falls into two main areas: analyzing the properties of a) completed grids and b) puzzles. Grid analysis has largely focused on counting (enumerating) possible solutions for different variants. Puzzle analysis centers on the initial given values. The techniques used in either are largely the same: combinatorics and permutation group theory, augmented by the dexterous application of programming tools. There are many Sudoku variants, (partially) characterized by the size (N) and shape of their regions. For classic Sudoku, N=9 and the regions are 3x3 squares (called blocks or boxes). A rectangular Sudoku uses rectangular regions of row-column dimension R×C. For R×1 (and 1×C), i.e. where the region is a row or column, Sudoku becomes a Latin square. Other Sudoku variants also exist, such as those with irregularly-shaped regions or with additional constraints (hypercube) or different (Samunamupure) constraint types. See Sudoku - Variants for a discussion of variants and Sudoku terms and jargon for an expanded listing. The mathematics of Sudoku is a...
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- VerlagBooks LLC, Wiki Series
- Erscheinungsdatum2011
- ISBN 10 1156778077
- ISBN 13 9781156778074
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten28
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Latin squares
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Reference Series Books LLC Feb 2013, 2013
ISBN 10: 1156778077
ISBN 13: 9781156778074
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Source: Wikipedia. Pages: 82. Chapters: Circulant matrix, Dinitz conjecture, E. T. Parker, Futoshiki, Graeco-Latin square, Latin hypercube sampling, Latin rectangle, Latin square property, Leonhard Euler, Mathematics of Sudoku, Orthogonal array, Problems in Latin squares, Quasigroup, Raj Chandra Bose, Sharadchandra Shankar Shrikhande, Small Latin squares and quasigroups, Thirty-six officers problem. Excerpt: 250 article summaries including: On Latin hypercube sampling . 4 Latin hypercube sampling with inequality constraints . Latin hypercube sampling with the SESOIL model . Latin hypercube sampling with inequality constraints . $F$-Square and Orthogonal $F$-Squares Design: A Generalization of Latin Square and Orthogonal Latin Squares Design . 13 Analysis of Hepatitis C Viral Dynamics Using Latin Hypercube Sampling . Latin hypercube sampling with dependence and applications in finance . Non-uniform Bound on Normal Approximation of Latin Hypercube Sampling . Uniform Bound on Normal Approximation of Latin Hypercube Sampling . On Latin Hypercube Sampling for Structural Reliability Analysis . On Latin hypercube sampling for structural reliability analysis . Latin hypercube sampling for stochastic finite element analysis . On Latin hypercube sampling for structural reliability analysis . Bounds on a normal approximation for latin hypercube sampling; . Estimating the integral of a squared regression function with Latin hypercube sampling . Approximate Reliability Function Based On Wavelet Latin Hypercube Sampling And Bee Recurrent Neural Network . 'On Reduction of Finite Sample Variance by Extended Latin Hypercube Sampling' . A users guide to LHS: Sandias Latin Hypercube Sampling Software . A user's guide to Sandia's latin hypercube sampling software : LHS UNIX library/standalone version . Application of Latin hypercube sampling to RADTRAN 4 truck accident risk sensitivity analysis . Global sensitivity analysis of cell signaling transduction networks based on latin hypercube sampling method . On reduction of finite-sample variance by extended Latin hypercube sampling . Estimating Sobol' indices combining Monte Carlo estimators and Latin hypercube sampling . Latin hypercube sampling of Gaussian random field for Sobol' global sensitivity analysis of models with spatial inputs and scalar output . Monogamous latin squares . Outline symmetric latin squares . Latin Squares and Applications . 46 Multi-latin squares . Premature partial Latin squares . 48 Transversals in Latin Squares . Multi-latin squares . Classification of Latin squares . On the use of a Modified Latin Hypercube Sampling (MLHS) method in the estimation of a Mixed Logit Model for vehicle choice . On the use of a Modified Latin Hypercube Sampling (MLHS) approach in the estimation of a Mixed Logit model for vehicle choice . Remote Sensing Data with the Conditional Latin Hypercube Sampling and Geostatistical Approach to Delineate Landscape Changes Induced by Large Chronological Physical Disturbances . 63 Generalized circulant matrix in Coupled Map Lattices . Beyond the orthogonal array concept . 66 Latin squares, partial latin squares and its generalized quotients . On biembeddings of Latin squares . Nonparametric tests for latin squares . 71 MPLS = Mutually Projective Latin Squares . 72 On Orthogonality of Latin Squares . 73 On uniformly generating Latin squares . Subconstituent algebras of Latin squares . Bilateral Matching and Lat. 82 pp. Englisch. Bestandsnummer des Verkäufers 9781156778074
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