Results 281 to 290 of about 3,100,761 (308)
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Results in Mathematics, 2011
The paper is concerned with so called geometric permutations. It starts by showing the connection between permutations and Coxeter-Bennet configurations (CBC's are regular graphs on \(d+3\) vertices having degree \(d\)). This connection is used to define an equivalence relation on permutations. Next some properties of difference permutations (roughly \(
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The paper is concerned with so called geometric permutations. It starts by showing the connection between permutations and Coxeter-Bennet configurations (CBC's are regular graphs on \(d+3\) vertices having degree \(d\)). This connection is used to define an equivalence relation on permutations. Next some properties of difference permutations (roughly \(
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Geometric equivalence, geometric similarity, and geometric compatibility of algebras
Journal of Mathematical Sciences, 2007Most attention is focused on conditions laid on the algebras from a given variety, which provide the coincidence of their algebraic geometries. The notions mentioned in the title of the paper play a leading part. Bibliography: 26 titles.
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IEEE Transactions on Neural Networks, 2001
This paper shows the analysis and design of feedforward neural networks using the coordinate-free system of Clifford or geometric algebra. It is shown that real-, complex-, and quaternion-valued neural networks are simply particular cases of the geometric algebra multidimensional neural networks and that some of them can also be generated using support
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This paper shows the analysis and design of feedforward neural networks using the coordinate-free system of Clifford or geometric algebra. It is shown that real-, complex-, and quaternion-valued neural networks are simply particular cases of the geometric algebra multidimensional neural networks and that some of them can also be generated using support
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1962
The familiar plane geometry of high school - figures composed of lines and circles - takes on a new life when viewed as the study of properties that are preserved by special groups of transformations. No longer is there a single, universal geometry: different sets of transformations of the plane correspond to intriguing, disparate geometries.
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The familiar plane geometry of high school - figures composed of lines and circles - takes on a new life when viewed as the study of properties that are preserved by special groups of transformations. No longer is there a single, universal geometry: different sets of transformations of the plane correspond to intriguing, disparate geometries.
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A global geometric framework for nonlinear dimensionality reduction.
Science, 2000J. Tenenbaum, V. Silva, John C. Langford
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Geometric Theory of Semilinear Parabolic Equations
, 1989Daniel B. Henry
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Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations
, 2004E. Hairer, C. Lubich, G. Wanner
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Voronoi diagrams—a survey of a fundamental geometric data structure
CSUR, 1991F. Aurenhammer
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Matrix-geometric solutions in stochastic models - an algorithmic approach
, 1982M. Neuts
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