查询词典 Betti

In chapter 2 we use harmonic 1-forms and discuss the relationship between an almost nonnegatively Ricci curved n-manifold with the first Betti number equal to n and a flat n-torus.

在第二章中我们利用调和1-形式研究了第一贝蒂数等于n且Ricci曲率几乎非负的n维黎曼流形和n维平坦环面之间的关系。

Hausdorff convergence; almost nonnegative Ricci curvature; Betti number; harmonic 1-form; nilpotency; splitting theorem; positive sectional curvature; gradient curve

基础科学，数学，几何、拓扑Hausdorff收敛；几乎非负Ricci曲率；贝蒂数；调和1-形式；幂零指标；分裂定理；正截面曲率；梯度曲线

He told Betti that he couldn't take his mother's car.

他告诉贝蒂不能开他妈妈的车。

Betti said that was got to be the coolest party he had ever been to.

贝蒂说那将是他参加过的最棒的一次聚会。

A new integral equation method based on Betti theorem is presenied in this paper for analysing arch dams.

本文利用Betti定理提出一种分析拱坝应力的新方法──积分方程法。

Using the independence number and the girth, the upper bound of the Betti deficiency is obtained. A better lower bound on the maximum genus of a graph is obtained and a previous result is improved.

利用图的独立数和围长，得到了一个Betti亏数的上界，进而得到了最大亏格的一个比较好的下界，改进了黄元秋先前的一个结果。

Based on Betti energy iterative law, the damage deformation mechanism of fractured rock mass under stress and seepage pressure has been studied. Furthermore 3D elastic and elastoplastic damage-fracture constitutive relation and damage evolution equation considering seepage pressure have been established.

基于Betti能量互易定理，系统研究了应力场与渗流场共同作用下的岩体损伤演化机制，建立了考虑渗透压力的三维含水裂隙岩体脆弹性和弹塑性断裂损伤本构模型和损伤演化方程。

Interviews with Pasolini's peers and associates, including director Bernardo Bertolucci, actress Laura Betti, and writer Alberto Moravia, put the controversial filmmaker's life and career into perspective, along with photos, readings of his poetry, and clips from these films

本片通过参访帕索里尼的同龄人和同事，其中包括导演Bernardo Bertolucci、演员Laura Betti、作家Alberto Moravia，片中通过照片、诵读他的诗歌、他执导过的电影片段将这位充满争议的导演的生活和事业生涯展现在荧屏上

Calculations on the basis of the self-consistent approximation are used to study the effects of slit cracks, elliptical cracks and penny-shaped cracks. The influence of slit cracks on the elastic moduli under all kinds of loading conditions is discussed by Betti's reciprocal theorem and Irwin's relation describing the released energy rate of fracture to the stress intensity factors. The friction between the cracks' surfaces is taken into account for the closed cracks.

采用自恰方法研究了狭长型，椭圆型及硬币型裂纹在荷载作用下对弹性常数的影响；采用Betti的互易定理以及lrwin关于断裂能量释放率与应力强度因子的关系，分析了狭长型裂纹在各种应力状态下对弹性常数的影响；分析研究了裂纹闭合时，由于裂纹面上摩擦力的存在，闭合裂纹时弹性常数的影响。

The paper de-duced the kinematically admissible plastic strain rate cycles of scattered structuresproceeding from Betti′s reciprocal theorem and the principle of virtual work.A fi-nite element formula of upper shakedown analysis of shells is given.Computerprograms are coded to resolve the problems of lower shakedown limit andoptimum shakedown design of plate structures and the lower and uppershakedown limits of combined rotation shells with initial geometric imperfections.The computing results show the correctness and effectiveness of the methods pro-posed by this paper.

本文还从Betti互换定理和虚功原理出发推导出离散结构中可能的塑性应变率循环，将其应用于安定上限定理，首次给出了壳体安定上限分析的有限元列式；编制了板的安定下限分析和板的安定优化设计程序及有初始几何缺陷的组合旋转壳体安定上下限分析的样条有限元程序，计算结果表明本文提出的方法正确、可行。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。