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- Riemannian Geometry and Geometric Analysis 3rd ed. 黎曼几何与几何分析第3版。
- AN INTRODUCTION TO DIFFERENTIABLE MANIFOLDS AND RIEMANNIAN GEOMETRY, REVISED. 微分流形与黎曼几何概论。
- General Riemannian geometry falls outside the boundaries of the program. 一般的黎曼几何在这个纲领所能包括的边界之外。
- The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces. 然而课程还将简单介绍了基本的黎曼几何和复流形的知识，并会详细讨论半单李群和对称空间的理论。
- W . M . Boothby: An Introduction to Differentiable Manifolds and Riemannian Geometry . Academic press , INC. 陈维桓：微分流形初步，高等教育出版社.
- It can be excluded with data dependent way based on Riemannian geometry for improved SVM. 基于黎曼几何的SVM数据依赖性改进方法能够剔除支持向量携带的冗余信息,改进SVM的性能。
- Furthermore,this course is benefitial to study differential topology, Riemannian Geometry, Lie group and Nonlinear Analysis etc. 为进一步学习微分几何、微分拓扑、几何分析、黎曼几何、李群、低维拓扑和非线性分析等相关课程奠定良好的基础，并为阅读当代数学文献创造条件。
- At the same time, other treatments of Riemannian geometry are available at varying levels and interests,so I need not introduce everything. 而中方记载，因多为防御战和溃败，资料极其匮乏，尤其是日方损失和战斗细节，不是编造就是阙如，日方资料正可丰富这方面的记载。
- These results are in agreement with those obtained by general relativity expressed in Riemannian geometry and that from practical observations. 结果与用黎曼几何表述的广义相对论和实际观测相符。
- The algorithm introduces twice training of Riemannian geometry’s modifying the kernel function as well as a forgetting factor to decrease the the number of support vectors. 考虑到简化算法模型和降低计算复杂度，该算法引入遗忘因子和使用黎曼几何修改核函数的二次训练方法减少了算法的支持向量数目。
- I have, therefore, attempted a viable introduction to Riemannian geometry for a very broad group of students, with emphases and developments in areas not covered by other books. 千年虽逝，但那个追求率性、珍惜自我、强调精神自由的时代却久久地为后人所怀念。
- Applications of riemannian geometry on parallel mechanisms dynamics 黎曼几何在并联机构动力学中的应用
- This non sequitur invalidates his argument. 他不根据前提推理因而论证无效。
- Variational Problems in Riemannian Geometry Bubbles, Scans and Geometric Flows 黎曼几何中的变分问题:泡沫、扫描与几何流
- Patience is a sine qua non for a good teacher. 做个优秀教师必不可少的条件是要有耐心。
- The diplomat was declared persona non grata. 这位外交家被宣布为不受欢迎的使节。
- He is declared personal non grata and forced to leave the country. 他被宣布为不受欢迎的人而被迫离开该国。
- I feel that geometry is a difficult subject. 我认为几何是一门难学的课程。
- The students are learning solid geometry. 这些学生正在学习立体几何学。
- I had had a few beers and was completely non compos mentis. 我喝了些啤酒就头昏脑胀了。
