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Titlebook: Computational Noncommutative Algebra and Applications; Proceedings of the N Jim Byrnes Conference proceedings 20041st edition Springer Scie

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Geometry of Paravector Space with Applications to Relativistic Physics,st-Newtonian theories of relativity and quantum mechanics. APS is an algebra of vectors in physical space, and its linear subspaces include a 4-dimensional space of paravectors (scalars plus vectors). The metric of the latter has the pseudo-Euclidean form of Minkowski spacetime, with which APS facil
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Fast Color Wavelet-Haar-Hartley-Prometheus Transforms for Image Processing,h based on triplet (color) numbers. In the algebraic approach, each image color pixel is considered not as a 3D vector, but as a triplet (color) number. The so-called orthounitary transforms are introduced and used for color image processing. These transforms are similar to a fast orthogonal and uni
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Supersymmetry and Equivariant de Rham Theoryiles with methods from group theory we obtain space effcient indexing structures as well as time effcient search procedures for content-based and fault-tolerant search in multimedia data. Several prototypic applications are discussed demonstrating the capabilities of our new technique.
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Supersymmetry and Trace Formulaer. The so-called orthounitary transforms are introduced and used for color image processing. These transforms are similar to a fast orthogonal and unitary transforms. Simulations using the color Wavelet-Haar-Prometheus transforms on color image compression have also been performed.
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Content-Based Information Retrieval by Group Theoretical Methods,iles with methods from group theory we obtain space effcient indexing structures as well as time effcient search procedures for content-based and fault-tolerant search in multimedia data. Several prototypic applications are discussed demonstrating the capabilities of our new technique.
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