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Titlebook: Applications of Geometric Algebra in Computer Science and Engineering; Leo Dorst,Chris Doran,Joan Lasenby Book 2002 Springer Science+Busin

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Giacomo Rizzolatti,Maria Alessandra Umiltànsion of the program SymbolicC++ by Tan and Steeb and follows their methods of supporting a class through template classes. Classes have been written and tested including Clifford(2), Clifford (3) and Clifford(2,2). The classes can also be accessed from within an interpreted language, Tcl, via an in
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Encyclopedia of Sciences and Religionsand in particular Ablamowicz [.] gives examples of derivation of the matrix representation. A matrix will itself satisfy the characteristic polynomial equation obeyed by its own eigenvalues. This relationship can be used to calculate the inverse of a matrix from powers of the matrix itself. It is de
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Matthew Collins,Beatrice Demarchihave used the insights provided by this work to create a computer program that allows a user to design, modify and visualize a 2D vector field in real time. The vector field is polynomial over the complex field C, and is therefore more computationally efficient and stable than Polya’s rational versi
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Constantine (Dean) K. Christakos bilinear form B such that B(xy, z) = B(x, yz) for all x, y, z ∊ A, then the maps . → ..(.) and . → ..(.) give inclusion preserving bijections between lattices of left and right ideals of . satisfying(a) Ann.(.. + ..) = ..(..) ⋂ ..(..),..(.. ⋂ ..) = ..(..) + ..(..)(b) ..(.. + ..) = ..(..) ⋂ ..(..),.
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Anne L. C. Runehov,Lluis Oviedoee versions: ., which features inner products and outer products of multivectors; ., which features pseudoscalars and inner products of vectors; ., which features geometric products of vectors and multivectors.
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Giacomo Rizzolatti,Maria Alessandra Umiltànsion of the program SymbolicC++ by Tan and Steeb and follows their methods of supporting a class through template classes. Classes have been written and tested including Clifford(2), Clifford (3) and Clifford(2,2). The classes can also be accessed from within an interpreted language, Tcl, via an interface program.
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Encyclopedia of Sciences and ReligionsGeometric algebra provides the essential foundation for a new approach to symmetry groups. Each of the 32 lattice point groups and 230 space groups in three dimensions is generated from a set of three .. This greatly facilitates representation, analysis and application of the groups to molecular modeling and crystallography.
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Encyclopedia of Sciences and ReligionsIn this paper we outline several ideas of how to define analysis starting from the algebra of abstract vector variables.
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