小说 发表于 2025-3-23 11:06:44
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Directed Quantities,ity condition, magnitudes for vectors and “circles” looking like ellipses. This shows that a metric is non-unique for a given vector space and there is a need to consider vector spaces devoid of the metric.滴注 发表于 2025-3-23 23:17:42
Linear Spaces of Directed Quantities and Their Transformations,.1. In each of the linear spaces, bases can be introduced and dimensions of the spaces determined. The coefficients of expanding a given quantity in the basis are called coordinates, not components, because the two notions can be ascribed to one vector and should be distinguished.innate 发表于 2025-3-24 04:52:40
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Struktur, Aufgabenstellung und Arbeitsweise,ity condition, magnitudes for vectors and “circles” looking like ellipses. This shows that a metric is non-unique for a given vector space and there is a need to consider vector spaces devoid of the metric.看法等 发表于 2025-3-24 12:13:34
Staat und technische Kommunikation.1. In each of the linear spaces, bases can be introduced and dimensions of the spaces determined. The coefficients of expanding a given quantity in the basis are called coordinates, not components, because the two notions can be ascribed to one vector and should be distinguished.ACRID 发表于 2025-3-24 15:22:03
Staat und technische Kommunikationt. 3.1. One of these twisted scalars serves to change nontwisted multivectors into twisted ones and vice versa. It also enables us to define the scalar product of nontwisted vectors with twisted vectors and of two twisted bivectors.CROW 发表于 2025-3-24 20:50:53
https://doi.org/10.1007/978-3-663-11467-3space are defined. It turns out there are twelve of them: six nontwisted and twisted multivectors, and six (of the same type) exterior forms. An interesting question is the passage from spatial to planar quantities. In order to preserve the information, for instance, the spatial vector has to be rep乞丐 发表于 2025-3-25 00:54:22
https://doi.org/10.1007/978-3-663-11467-3imensional vector space. The transition from three-dimensional space to a plane described in a previous chapter is helpful to perform the passage in opposite direction, namely from three to four dimensions, in Sect. 7.2. A distinguished vector protruding in the fourth dimension is necessary for this