lymphedema
发表于 2025-3-25 06:17:08
Tensor AlgebraThis chapter contains an introduction to tensor algebra. After defining covectors and dual bases, the space of covariant two-tensor is introduced. Then, the results derived for this space are extended to the general space of the (.,.)-tensors.
single
发表于 2025-3-25 10:38:03
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cardiopulmonary
发表于 2025-3-25 14:51:32
Duality and Euclidean TensorsIn this section, we show that when .. is a Euclidean vector space, there is an isomorphism among the tensor spaces ...(..) for which .+. has a given value. In other words, we show the existence of an isomorphism between .. and ..., of isomorphisms between ..., ..., and ..., and so on.
WAG
发表于 2025-3-25 18:12:42
Differentiable ManifoldsLet . be an open set of ... The real-valued function . :.→. is said to be of...(.) or a ... in ., where .≥0, if it is continuous with its partial derivatives up to the order .. In particular, a .. function in . is a continuous one.
CLAY
发表于 2025-3-25 23:28:13
One-Parameter Groups of DiffeomorphismsA.. on a manifold .. of class .., .>0, is a .. map
盟军
发表于 2025-3-26 02:17:11
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六个才偏离
发表于 2025-3-26 06:06:31
An Overview of Dynamical SystemsIn previous chapters, some fundamental concepts of algebra and differential geometry were presented. This chapter is devoted to an overview of dynamical systems that play a fundamental role in building mathematical models of reality.
Dorsal-Kyphosis
发表于 2025-3-26 11:19:11
Dynamics of a Material PointA positional force is said to be . with center . if its force law is . where . is the position vector relative to ..
Polydipsia
发表于 2025-3-26 13:23:40
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STELL
发表于 2025-3-26 16:53:40
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