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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A Toy Vector Field Based on Geometric Algebraon over C, which is the traditional approach for such work. Such “toy” vector fields are useful for instruction, understanding and topological simulation of many issues associated with all vector fields.

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Compound Matrices and Pfaffians: A Representation of Geometric Algebracertain matrices which can be understood as the skew symmetric counterpart of the corresponding Gramians. Based on this representation we calculate the .th Clifford power . of a vector . ∈ .. which enables the extension of an analytical function . : . → . to their corresponding Clifford function .:.. → ..(.).

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Jet Bundles and the Formal Theory of Partial Differential Equationsathematical underpinnings of involution (which lie in the theory of combinatorial decompositions of polynomial modules [.,.]) nor other applications of the theory of jet bundles such as the theory of symmetries of systems of PDEs [.] or discretisation schemes based on discrete approximations to jet bundles [.].

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Anne L. C. Runehov,Lluis Oviedordinate control element (usually cubical or simplicial). The combinatorics of the starplex matches exactly the combinatorial structure of the multivector: every oriented k-cell in the starplex corresponds to some basis K-vector.

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Encyclopedia of Sciences and Religionsmonstrated that the matrix basis of a Clifford number can be used to calculate the inverse of a Clifford number using the characteristic equation of the matrix and powers of the Clifford number. Examples are given for the algebras Clifford(2), Clifford(3) and Clifford(2,2).

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