gloomy 发表于 2025-3-21 19:14:44

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水槽 发表于 2025-3-21 22:23:37

https://doi.org/10.1007/978-1-84800-209-8mbers. What are these numbers coordinates of? An answer to this question, which could not have been, and was in fact not, asked at the time, would have brought Lagrange close to the general concept of topological manifold.

遭遇 发表于 2025-3-22 02:48:03

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mechanical 发表于 2025-3-22 06:27:22

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OATH 发表于 2025-3-22 09:56:31

Differential Constructs,tion of these theories, topological manifolds are not up to the task. In particular, in the absence of additional structure, it does not seem possible to entertain the notion of differentiability of fields defined over a topological manifold.

使尴尬 发表于 2025-3-22 13:28:15

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使尴尬 发表于 2025-3-22 19:58:39

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一起 发表于 2025-3-22 22:44:58

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vanquish 发表于 2025-3-23 02:38:20

Topological Constructs,ly divisible into parts, themselves infinitely divisible”. He also established that space has “three dimensions, by which all bodies are bounded”. Whatever else may be wrong in Aristotle, at least when it comes to this basic notion he got it right.

大范围流行 发表于 2025-3-23 05:40:26

Physical Illustrations,m is characterized by a finite number . of . to each of which a . is assigned. A . of the system is thus identified with an ordered .-tuple of real numbers. What are these numbers coordinates of? An answer to this question, which could not have been, and was in fact not, asked at the time, would hav
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查看完整版本: Titlebook: Differential Geometry; Basic Notions and Ph Marcelo Epstein Book 2014 Springer International Publishing Switzerland 2014 Continuum Mechanic