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Approximation of Euclidean Metric by Digital Distances

metrics. It also presents a historical perspective on efforts and motivation for approximating Euclidean metrics by digital distances from the mid;

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Metric Diophantine Approximation on Manifolds

This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space, and its aim is to develop a;

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Approximation Theory and Algorithms for Data Analysis

* interpolation by algebraic and trigonometric polynomials * basic results on best approximations * Euclidean approximation * Chebyshev approximation;

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Encyclopedia of Distances

This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items;

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Metric Structures in Differential Geometry

of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin;

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Projective Geometry - Volume II

An Unabridged Printing, To Include All Exercises: Foundations - Elementary Theorems On Order - The Affine Group In The Plane - Euclidean;

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Fixed Point Theory for Lipschitzian-Type Mappings with Applications

and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods;

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The Methods of Distances in the Theory of Probability and Statistics

This book covers the method of metric distances and its application in probability theory and other fields. The method is fundamental;

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Minkowski Geometry

fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of two-dimensional;

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Meshing, Geometric Modeling and Numerical Simulation, Volume 2

in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search;

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Fuzzy Operator Theory in Mathematical Analysis

, approximation theory and best proximity theory, fuzzy metric type space, topology and applications.;

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Fuzzy Operator Theory in Mathematical Analysis

, approximation theory and best proximity theory, fuzzy metric type space, topology and applications.;

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Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators

This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set;

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Curvature Measures of Singular Sets

class of fractals is presented, which uses approximation by the rescaled curvature measures of small neighborhoods. The book collects results;

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Geometry

Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry;

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An Introduction to Laplacian Spectral Distances and Kernels

kernels and distances, such as commute time, biharmonic, diffusion, and wave distances. Within this context, this book is intended to provide;

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Geometries and Transformations

Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and;

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A Mathematical Journey to Relativity

This book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to;

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A Mathematical Journey to Relativity

This book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to;

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Bochner-riesz Means On Euclidean Spaces

results on approximation of functions by the Bochner-Riesz means.;

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Polygonal Approximation and Scale-Space Analysis of Closed Digital Curves

parameters. The systematic development of the concept of polygonal approximation of digital curves and its scale-space analysis are useful and;

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Polygonal Approximation and Scale-Space Analysis of Closed Digital Curves

parameters. The systematic development of the concept of polygonal approximation of digital curves and its scale-space analysis are useful and;

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Non-Euclidean Geometry and Curvature

of non-Euclidean geometry by means of simple infinite graphs that approximate that geometry. This is followed by a long chapter taken from;

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Geometrical Properties Of Vectors And Covectors

This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds;

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Basic Topology 1

studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction of distance in the Euclidean space;

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Euclidean Geometry and Its Subgeometries

treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isometries by means of reflection;

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Real Variables with Basic Metric Space Topology

. Topics include metric spaces, Euclidean spaces and their basic topological properties, sequences and series of real numbers, continuous functions;

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