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On Euclidean Corrections for Non-Euclidean Dissimilarities
2008Non-Euclidean dissimilarity measures can be well suited for building representation spaces that are more beneficial for pattern classification systems than the related Euclidean ones [1,2]. A non-Euclidean representation space is however cumbersome for training classifiers, as many statistical techniques rely on the Euclidean inner product that is ...
Pekalska, Elzbieta +5 more
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IMBEDDING LOCALLY EUCLIDEAN AND CONFORMALLY EUCLIDEAN METRICS
Mathematics of the USSR-Sbornik, 1992See the review Zbl 0746.53011.
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2023
The theory of buildings lies at the interplay between geometry and group theory, and is one of the main tools for studying the structure of many groups.Actually, buildings were introduced by Jacques Tits in the 1950s to better understand and study a semi-simple algebraic group over a field.
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The theory of buildings lies at the interplay between geometry and group theory, and is one of the main tools for studying the structure of many groups.Actually, buildings were introduced by Jacques Tits in the 1950s to better understand and study a semi-simple algebraic group over a field.
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Euclidean and Non-Euclidean Geometries
2014Ancient mathematics was motivated by very practical reasoning. What we now call land management and commerce were the overriding considerations, and calculational questions grew out of those transactions. As a result, many of the ideas considered involved meshing rectangles and triangles, their areas, and their relative proportions.
Steven G. Krantz, Harold R. Parks
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Computers & Operations Research, 1996
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James T. Fagan, James E. Falk
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James T. Fagan, James E. Falk
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Euclidean and Non-Euclidean Geometry
1986This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical ...
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Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, 2014
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. For instance, for varieties of low rank matrices, the Eckart-Young Theorem states that this map is given by the singular value decomposition.
Draisma, J. +4 more
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The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. For instance, for varieties of low rank matrices, the Eckart-Young Theorem states that this map is given by the singular value decomposition.
Draisma, J. +4 more
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Euclidean and Non-Euclidean Illusions
Perceptual and Motor Skills, 1972R E, Rainville, V, Dusek
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1995
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Fletcher, Colin Robert +1 more
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Fletcher, Colin Robert +1 more
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