黎曼

A new negative gradient tracing approach based on the extremum is introduced.

本文提出了一种在二维黎曼流形中构造Voronoi图的新算法。

This limit is called the surface integral with respect to area (or the surface integral of the first type) of over and is denoted by

如果时，黎曼和的极限存在，则称此极限为在曲面上对面积的曲面积分或第一类曲面积分，记作

About the functional equation, the definition of the functions, etc.

paper (1859) is false 》，即《黎曼的论文（1859）是错误的》）非常聪明，在函数方程式、函数定义方面的清晰性方面涵盖了所有以前的论文。

Thus, the -general structure topology optimization problem can be regarded as a material interface tracing problem.

其次在结构拓扑优化中还引入了黎曼测度下的平均曲率流正则化技术，以保证计算结果材料界面的光顺性，并有助于提高拓扑演化过程中的数值稳定性。

"A geometer like Riemann might almost have foreseen the more important features of the actual world.

"，"一个像黎曼这样的几何学者几乎可以预见到现实世界的更重要的特徵。

A geometer like Riemann might almost have foreseen the more important features of the actual world.

一个像黎曼这样的几何学者几乎可以预见到现实世界的更重要的特征。

Mathematician successfully taken the first step for our country, he is the 20th century the great geometer, especially in the Gauss, Riemann, cards and pioneers as the successor.

数学家为我国踏出成功的第一步，他是20 世纪的伟大几何学家，尢在高斯，黎曼，卡当的继承者和开拓者。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的"产生和湮灭"算符，能方便而精确地表征和重构相关的微观作用机制；"场的本体论"和"生成辩证法"同时得到体现。

We studied the global differential geometry of Riemannian manifolds and submanifolds including minimal submanifolds, constant mean curvature submanifolds, complex submanifolds and symplectic submanifolds, etc..

研究黎曼流形及其子流形的整体微分几何性质，包括研究极小子流形、常平均曲率子流形、复子流形和辛子流形等。

Yano about the harmonic and Killing vector fields in Compact orientable Riemannian spaces with boundary by means of Stokes' and Green's theorem.

Yano 关于具有边界的可定向黎曼流形上的调和和Killing向量场的结果加以推广，显然这个方法也可应用到调和张量场和Killing张量场的情形，这将在另文讨论。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。