公理
发表于 2025-3-26 23:51:04
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死亡率
发表于 2025-3-27 04:12:16
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雄辩
发表于 2025-3-27 08:54:02
Singular Value Decomposition (SVD) and Polar Form,In this section we assume that we are dealing with a real Euclidean space .. Let . → . be any linear map. In general, it may not be possible to diagonalize a linear map ..
irradicable
发表于 2025-3-27 10:53:06
Basics of the Differential Geometry of Curves,In this chapter we consider parametric curves, and we introduce two important invariants, curvature and torsion (in the case of a 3D curve).
CRASS
发表于 2025-3-27 17:21:20
Appendix,Given a vector space . over a field ., a linear map . →. is called a .. The set of all linear forms . → . is a vector space called the . and denoted by .*. We now prove that hyperplanes are precisely the Kernels of nonnull linear forms.
鉴赏家
发表于 2025-3-27 19:41:50
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patriarch
发表于 2025-3-27 23:50:00
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malign
发表于 2025-3-28 02:52:30
Basics of Affine Geometry, Typically, one is also interested in geometric properties invariant under certain transformations, for example, translations, rotations, projections, etc. One could model the space of points as a vector space, but this is not very satisfactory for a number of reasons. One reason is that the point c
清洗
发表于 2025-3-28 10:07:55
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MAZE
发表于 2025-3-28 10:26:17
Embedding an Affine Space in a Vector Space,universes. It is often more convenient, at least mathematically, to deal with linear objects (vector spaces, linear combinations, linear maps), rather than affine objects (affine spaces, affine combinations, affine maps). Actually, it would also be advantageous if we could manipulate points and vect