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  • 2018-8-28 · Vector Spaces and Scalar Products (2 lectures) Definitions: vector space, scalar product, dual space, orthogonality, examples; Basis and Vector Components: Einsteins Summation Convention, basis and dual basis, Gram-Schmidt Ortho-Normalisation procedure [manu-script VSpace 1-11] intro: [Sni 22] review linear algebra: [SG App. A.1-3] [SG 2.1-2]
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  • 2017-7-28 · the quotient of two vector spaces is still a vector space. 1.1.1 Example: ?(R3) An example of a di?erential complex known to every physicist is the following. Let C0,C1,C2,C3 be the spaces of di?erentiable functions, vector ?elds, axial vector ?elds, and pseudoscalar func-tions, respectively, each with domain of de?nition R3.
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