2018, ISBN 9789813220478, x, 197 pages

A geometric dissection is a cutting of a geometric figure (such as a regular polygon, or a star, or a cross) into pieces that we can rearrange to form another...

Freese, Ernest Irving, -1957 | Shapes | Geometric dissections | Mathematical recreations

Freese, Ernest Irving, -1957 | Shapes | Geometric dissections | Mathematical recreations

Book

2018, 1, ISBN 1568812329, 776

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations...

Geometry | Applied Mathematics | Foundations & Theorems | Twist mappings (Mathematics) | Tessellations (Mathematics) | Combinatorial designs and configurations | Tiling (Mathematics) | Origami-Mathematics

Geometry | Applied Mathematics | Foundations & Theorems | Twist mappings (Mathematics) | Tessellations (Mathematics) | Combinatorial designs and configurations | Tiling (Mathematics) | Origami-Mathematics

eBook

Discrete & computational geometry, ISSN 1432-0444, 2018, Volume 62, Issue 4, pp. 865 - 878

...
Mathematics Subject Classi cation 6...

Stochastic geometry | 60D05 | Computational Mathematics and Numerical Analysis | Delaunay mosaics of order k | Discrete Morse theory | Poisson point process | Voronoi tessellations of order k | Mathematics | 68U05 | Combinatorics | Domains | Tessellation | Mosaics

Stochastic geometry | 60D05 | Computational Mathematics and Numerical Analysis | Delaunay mosaics of order k | Discrete Morse theory | Poisson point process | Voronoi tessellations of order k | Mathematics | 68U05 | Combinatorics | Domains | Tessellation | Mosaics

Journal Article

12/2017, ISBN 1568812329, 756

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations...

Geometry | STMnetBASE | SCI-TECHnetBASE | assignment | Foundations & Theorems | MATHnetBASE | crease

Geometry | STMnetBASE | SCI-TECHnetBASE | assignment | Foundations & Theorems | MATHnetBASE | crease

eBook

2000, Lecture notes in mathematics, ISBN 9783540669739, Volume 1725., ix, 308

Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear...

Maxwell-Boltzmann distribution law | Mathematical models | Cellular automata | Lattice gas | Logic, Symbolic and mathematical | Engineering mathematics | Numerical analysis | Analysis | Global analysis | Mathematical and Computational Engineering | Classical Mechanics | Mechanics | Global Analysis and Analysis on Manifolds | Global analysis (Mathematics) | Mathematical Logic and Foundations

Maxwell-Boltzmann distribution law | Mathematical models | Cellular automata | Lattice gas | Logic, Symbolic and mathematical | Engineering mathematics | Numerical analysis | Analysis | Global analysis | Mathematical and Computational Engineering | Classical Mechanics | Mechanics | Global Analysis and Analysis on Manifolds | Global analysis (Mathematics) | Mathematical Logic and Foundations

Book

1992, ISBN 9780198536895, xii, 218

Book

Discrete & computational geometry, ISSN 0179-5376, 07/2018, Volume 60, Issue 1, pp. 170 - 199

An r-gentiling is a dissection of a shape into r≥ 2 parts that are all similar to the original shape. An r-reptiling is an r-gentiling of which all parts are...

Computational Theory and Mathematics | Space-filling curve | Tessellation | Reptile | Theoretical Computer Science | Geometry and Topology | Meshing | Discrete Mathematics and Combinatorics | Computational Mathematics and Numerical Analysis | Mathematics | Combinatorics | MATHEMATICS | COMPUTER SCIENCE, THEORY & METHODS | Reptiles | Health facilities | Dissection | Triangles

Computational Theory and Mathematics | Space-filling curve | Tessellation | Reptile | Theoretical Computer Science | Geometry and Topology | Meshing | Discrete Mathematics and Combinatorics | Computational Mathematics and Numerical Analysis | Mathematics | Combinatorics | MATHEMATICS | COMPUTER SCIENCE, THEORY & METHODS | Reptiles | Health facilities | Dissection | Triangles

Journal Article

Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, 4/2017, Volume 69, Issue 2, pp. 303 - 331

... 1
Received: 7 October 2014 / Revised: 15 June 2015 / Published online: 4 August 2015
© The Institute of Statistical Mathematics, Tokyo 2015
Abstract This paper...

Robust statistics | Sample quantiles | Statistics for Business/Economics/Mathematical Finance/Insurance | Bahadur representation | Statistics, general | Cox processes | Statistics | ASYMPTOTIC PROPERTIES | QUANTILES | PATTERNS | STATISTICS & PROBABILITY | Robust control | Studies | Theory | Statistical methods | Probability distribution | Mathematics | Mathematical models | Estimating techniques | Asymptotic methods | Tessellation | Robustness (mathematics) | Computer simulation | Samples | Consistency | Representations | Estimators | Standards | Statistics Theory

Robust statistics | Sample quantiles | Statistics for Business/Economics/Mathematical Finance/Insurance | Bahadur representation | Statistics, general | Cox processes | Statistics | ASYMPTOTIC PROPERTIES | QUANTILES | PATTERNS | STATISTICS & PROBABILITY | Robust control | Studies | Theory | Statistical methods | Probability distribution | Mathematics | Mathematical models | Estimating techniques | Asymptotic methods | Tessellation | Robustness (mathematics) | Computer simulation | Samples | Consistency | Representations | Estimators | Standards | Statistics Theory

Journal Article

Journal of computational physics, ISSN 0021-9991, 2016, Volume 312, pp. 175 - 191

A conservative discretization of incompressible Navier–Stokes equations is developed based on discrete exterior calculus (DEC). A distinguishing feature of our...

Incompressible flow | Navier–Stokes | Discrete exterior calculus (DEC) | Covolume method | Navier-Stokes | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FLUID | TESSELLATIONS | CONSERVATION PROPERTIES | DYNAMICS | PHYSICS, MATHEMATICAL | FLOW | SCHEMES | Fluid dynamics | Mechanical engineering | Force and energy | Operators (mathematics) | Accuracy | Discretization | Mathematical analysis | Exteriors | Mathematical models | Calculus | Navier-Stokes equations

Incompressible flow | Navier–Stokes | Discrete exterior calculus (DEC) | Covolume method | Navier-Stokes | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FLUID | TESSELLATIONS | CONSERVATION PROPERTIES | DYNAMICS | PHYSICS, MATHEMATICAL | FLOW | SCHEMES | Fluid dynamics | Mechanical engineering | Force and energy | Operators (mathematics) | Accuracy | Discretization | Mathematical analysis | Exteriors | Mathematical models | Calculus | Navier-Stokes equations

Journal Article

Structural and multidisciplinary optimization, ISSN 1615-1488, 2012, Volume 45, Issue 3, pp. 309 - 328

We present a simple and robust Matlab code for polygonal mesh generation that relies on an implicit description of the domain geometry. The mesh generator can...

Implicit geometries | Engineering | Computational Mathematics and Numerical Analysis | Topology optimization | Engineering Design | Theoretical and Applied Mechanics | Polygonal elements | Centroidal Voronoi tessellations | GRAPH | FINITE-ELEMENTS | NODE | OPTIMIZATION CODE WRITTEN | LAPLACIAN | LEVEL-SET METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | Green technology | Finite element method | Domains | Robustness (mathematics) | Mathematical analysis | Voronoi graphs | Aerospace industry | Mesh generation | Matlab | Polygons

Implicit geometries | Engineering | Computational Mathematics and Numerical Analysis | Topology optimization | Engineering Design | Theoretical and Applied Mechanics | Polygonal elements | Centroidal Voronoi tessellations | GRAPH | FINITE-ELEMENTS | NODE | OPTIMIZATION CODE WRITTEN | LAPLACIAN | LEVEL-SET METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | Green technology | Finite element method | Domains | Robustness (mathematics) | Mathematical analysis | Voronoi graphs | Aerospace industry | Mesh generation | Matlab | Polygons

Journal Article

11/2018, ISBN 9789813275164, Volume 3

Book

Discrete & Computational Geometry, ISSN 0179-5376, 3/2014, Volume 51, Issue 2, pp. 438 - 461

Given a subset K of the unit Euclidean sphere, we estimate the minimal number m=m(K) of hyperplanes that generate a uniform tessellation of K, in the sense...

Dimension reduction | Computational Mathematics and Numerical Analysis | Hyperplane tessellations | Mean width | Embedding | Mathematics | Near isometry | Combinatorics | MATHEMATICS | SPACES | COMPUTER SCIENCE, THEORY & METHODS | Geometry | Computational mathematics | Tessellation | Reduction | Mathematical analysis | Hyperplanes | Texts | Distortion | Gaussian | Optimization

Dimension reduction | Computational Mathematics and Numerical Analysis | Hyperplane tessellations | Mean width | Embedding | Mathematics | Near isometry | Combinatorics | MATHEMATICS | SPACES | COMPUTER SCIENCE, THEORY & METHODS | Geometry | Computational mathematics | Tessellation | Reduction | Mathematical analysis | Hyperplanes | Texts | Distortion | Gaussian | Optimization

Journal Article

13.
Least upper bound of the exact formula for optimal quantization of some uniform cantor distributions

Discrete and continuous dynamical systems, ISSN 1078-0947, 09/2018, Volume 38, Issue 9, pp. 4555 - 4570

The quantization scheme in probability theory deals with finding a best approximation of a given probability distribution by a probability distribution that is...

Cantor set | Probability distribution | Quantization error | Optimal quantizers | MATHEMATICS | MATHEMATICS, APPLIED | quantization error | probability distribution | optimal quantizers | CENTROIDAL VORONOI TESSELLATIONS | QUANTIZERS

Cantor set | Probability distribution | Quantization error | Optimal quantizers | MATHEMATICS | MATHEMATICS, APPLIED | quantization error | probability distribution | optimal quantizers | CENTROIDAL VORONOI TESSELLATIONS | QUANTIZERS

Journal Article

The Annals of probability, ISSN 0091-1798, 5/2013, Volume 41, Issue 3, pp. 1115 - 1159

We consider a cluster growth model on ℤ d , called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one...

Integers | Aggregation | Tiles | Random walk | Trajectories | Tessellations | Stopping distances | Coupons | Radius of a sphere | Greens function | Subdiffusive fluctuations | Cluster growth | Logarithmic fluctuations | Shape theorem | Internal diffusion limited aggregation | random walk | DIFFUSION-LIMITED AGGREGATION | cluster growth | logarithmic fluctuations | shape theorem | subdiffusive fluctuations | STATISTICS & PROBABILITY | Mathematics - Probability | Probability | Mathematics | 82B24 | 60K35 | 60J45

Integers | Aggregation | Tiles | Random walk | Trajectories | Tessellations | Stopping distances | Coupons | Radius of a sphere | Greens function | Subdiffusive fluctuations | Cluster growth | Logarithmic fluctuations | Shape theorem | Internal diffusion limited aggregation | random walk | DIFFUSION-LIMITED AGGREGATION | cluster growth | logarithmic fluctuations | shape theorem | subdiffusive fluctuations | STATISTICS & PROBABILITY | Mathematics - Probability | Probability | Mathematics | 82B24 | 60K35 | 60J45

Journal Article

Mathematical problems in engineering, ISSN 1563-5147, 2019, Volume 2019, pp. 1 - 16

In this paper, a problem of packing hexagonal and dodecagonal sensors in a circular container is considered. We concentrate on the sensor manufacturing...

MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | OPTIMIZATION | ENGINEERING, MULTIDISCIPLINARY | ALGORITHM | Silicon | Sensors | Formulations | Silicon wafers | Hexagons | Containers | Computer engineering | Computational mathematics | Production costs | Polygons | Mathematical problems | Tessellation | Wireless networks | Apexes | Efficiency | Circularity | Apertures | Manufacturing

MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | OPTIMIZATION | ENGINEERING, MULTIDISCIPLINARY | ALGORITHM | Silicon | Sensors | Formulations | Silicon wafers | Hexagons | Containers | Computer engineering | Computational mathematics | Production costs | Polygons | Mathematical problems | Tessellation | Wireless networks | Apexes | Efficiency | Circularity | Apertures | Manufacturing

Journal Article

2012, ISBN 9781439834701, xxiv, 488

Book

Proceedings of the National Academy of Sciences - PNAS, ISSN 0027-8424, 3/2013, Volume 110, Issue 12, pp. 4518 - 4523

A classical theorem of MacMahon states that the number of lozenge tilings of any centrally symmetric hexagon drawn on the triangular lattice is given by a...

Integers | Mathematical theorems | Hexagons | Triangles | Geometric planes | Mathematical lattices | Tiling | Tessellations | Condensation | Vertices | Exact enumeration | Perfect matchings | SYMMETRIES | perfect matchings | exact enumeration | TILINGS | MULTIDISCIPLINARY SCIENCES | CONJECTURE | Theorems (Mathematics) | Research | Mathematics - Combinatorics | Physical Sciences

Integers | Mathematical theorems | Hexagons | Triangles | Geometric planes | Mathematical lattices | Tiling | Tessellations | Condensation | Vertices | Exact enumeration | Perfect matchings | SYMMETRIES | perfect matchings | exact enumeration | TILINGS | MULTIDISCIPLINARY SCIENCES | CONJECTURE | Theorems (Mathematics) | Research | Mathematics - Combinatorics | Physical Sciences

Journal Article

1974, Pure and applied mathematics; a series of monographs and textbooks, ISBN 0124654509, Volume 61., xiv, 207

Book

Computational and Applied Mathematics, ISSN 0101-8205, 3/2018, Volume 37, Issue 1, pp. 641 - 674

Currently, incremental algorithms may be seen as the lowest-cost computational methods to generate Delaunay tessellations in several point distributions. In...

Computational Mathematics and Numerical Analysis | Non-uniform point distributions | Mathematics | Delaunay tessellation | Computational geometry and topology | Computer-aided design | Insertion sequences | engineering and manufacturing | Incremental algorithms | Mathematical Applications in Computer Science | Applications of Mathematics | Mathematical Applications in the Physical Sciences | Mesh generation | MATHEMATICS, APPLIED | Computer-aided design, engineering and manufacturing

Computational Mathematics and Numerical Analysis | Non-uniform point distributions | Mathematics | Delaunay tessellation | Computational geometry and topology | Computer-aided design | Insertion sequences | engineering and manufacturing | Incremental algorithms | Mathematical Applications in Computer Science | Applications of Mathematics | Mathematical Applications in the Physical Sciences | Mesh generation | MATHEMATICS, APPLIED | Computer-aided design, engineering and manufacturing

Journal Article

Advances in mathematics (New York. 1965), ISSN 0001-8708, 11/2013, Volume 248, pp. 717 - 735

We study the p-independence of spectra of Laplace operators on graphs arising from regular Dirichlet forms on discrete spaces. Here, a sufficient criterion is...

Regular Dirichlet forms | Cheeger constant | Planar tessellation | Discrete Laplace operator

Regular Dirichlet forms | Cheeger constant | Planar tessellation | Discrete Laplace operator

Journal Article

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