- 更多网络例句与微分同胚映射相关的网络例句 [注：此内容来源于网络，仅供参考]
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The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.
在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。
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In differentiable manifolds, one studies for instance differentiable structure, definition of differential manifolds, diffeomorphism, tangent space, Embedding theorem, partitions of unity etc.
微分流形部分主要涉及微分结构，微分流形的定义及例子，可微映射，微分同胚，切空间与余切空间，流形的嵌入，单位分解定理等。
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In Chapter 3,the concept of obstruction set for diffeomorphisms is introduced.And then we givesan important relation between obstruction set and dual mapping.
在第三章我们对微分同胚引入了阻碍集的概念，随后给出了阻碍集与对偶映射之间的一个重要关系。
- 更多网络解释与微分同胚映射相关的网络解释 [注：此内容来源于网络，仅供参考]
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diffeomorphic mapping：微分同胚映射
dichotomy 二分法 | diffeomorphic mapping 微分同胚映射 | diffeomorphism 微分同胚映射
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diffeomorphism：微分同胚映射
diffeomorphic mapping 微分同胚映射 | diffeomorphism 微分同胚映射 | difference 差
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Diffeomorphismus diffeomorphism：微分同胚映射
Diedergruppe dihedral group 二面体群 | Diffeomorphismus diffeomorphism 微分同胚映射 | Differential differential 微分
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Diedergruppe dihedral group：二面体群
Dichtefunktion density function 密度函数 | Diedergruppe dihedral group 二面体群 | Diffeomorphismus diffeomorphism 微分同胚映射
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submersion：淹没
微分流形:一、 流形的基本概念:流形的定义和基本例子,子流形,切空间和切丛,光滑函数、光滑映射及切映射. 要求了解球面、环面、射影空间等基本例子,并了解一维、二维流形的分类. 要求了解浸入(immersion)、嵌入(embedding)、淹没(submersion)和微分同胚的概念.