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单词 Differentiable structure
释义

Differentiable structure

中文百科

微分结构 Differential structure

(重定向自Differentiable structure)

在数学中,集合M上的一个n-维微分结构differential structure)或可微结构differentiable structure)是一个带有附加结构(使得我们可以在该流形上做微积分)的拓扑流形,使其成为一个n-维微分流形。如果M已经是一个拓扑流形,我们要求新拓扑与原来已有的拓扑相同。

英语百科

Differential structure 微分结构

(重定向自Differentiable structure)

In mathematics, an n-dimensional differential structure (or differentiable structure) on a set M makes M into an n-dimensional differential manifold, which is a topological manifold with some additional structure that allows for differential calculus on the manifold. If M is already a topological manifold, it is required that the new topology be identical to the existing one.

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