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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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51#
發(fā)表于 2025-3-30 11:47:17 | 只看該作者
Matthew Collins,Beatrice Demarchion 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.
52#
發(fā)表于 2025-3-30 16:06:02 | 只看該作者
Encyclopedia of Sciences and Religions? .(2). The carrier spaces of irreducible representations of . (3) comprise complex two-component .. The spinors and their Hermitian conjugates carry two linearly independent irreducible representations, and the vectors of physical space can be expressed as linear combinations of their products.
53#
發(fā)表于 2025-3-30 18:41:27 | 只看該作者
Encyclopedia of Sciences and Religionsas also introduced an improved algorithm in the appendix of [.] to deal with the case for which there are multiple roots in the minimal polynomical for the linear operator. In this paper we will carry this slightly further to obtain an explicit formula for the projection operators.
54#
發(fā)表于 2025-3-30 23:56:02 | 只看該作者
55#
發(fā)表于 2025-3-31 01:53:15 | 只看該作者
Functions of Clifford Numbers or Square Matricesas also introduced an improved algorithm in the appendix of [.] to deal with the case for which there are multiple roots in the minimal polynomical for the linear operator. In this paper we will carry this slightly further to obtain an explicit formula for the projection operators.
56#
發(fā)表于 2025-3-31 06:14:42 | 只看該作者
The Inner Products of Geometric Algebrasitates a slightly different inner product than usual. We demonstrate the use and geometric significance of this ., and show how it simplifies treatment of meet and join. We also derive the sufficient condition for covariance of expressions involving outer and inner products.
57#
發(fā)表于 2025-3-31 10:48:40 | 只看該作者
Unification of Grassmann’s Progressive and Regressive Products using the Principle of Dualityann ’s Ausdehnungslehre described just such a metricfree geometric algebra of points. However, Whitehead’s treatise spoiled the natural simplicity of the theory by a lopsided derivation based purely on points which gave rise to two different products (progressive and regressive). The current paper t
58#
發(fā)表于 2025-3-31 15:42:26 | 只看該作者
59#
發(fā)表于 2025-3-31 17:33:16 | 只看該作者
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