查询词典 Stokes theorem

And guided by Schur theorem, many of the Schur theorem inference arises, formed a complete theoretical system Schur theorem. Schur theorem and put many of its reasoning applied to the unitary matrix and the similarity matrix eigenvalue of proof onto.

在Schur定理的指导下，许多关于Schur定理的推论便产生了，并且形成了一个完整的Schur定理理论体系，把Schur定理和它的许多推论推广到了酉矩阵的相似和矩阵的特征值的证明上来。

In exterior differentiation, one studies tensors, exterior algebra, tangent bundle, tangent vector fields, one-parameter groups action on a manifold, Frobenius's theorem, tensors fields, exterior differential form, integration on manifolds, Stokes's theorem etc.

外微分部分主要涉及外代数、切丛，光滑切向量场，单参数变换群，光滑张量场，外微分形式，Frobenius定理，外微分形式的积分，Stokes定理及其应用等。

In this paper, by computing the Laplace of the square of the length of the second fundamental form and introducing a self-adjoint operator and using Stokes Theorem and Hopf Theorem, we obtained some pinching theorems and rigidity theorems for hypersurfaces and submanifolds in hyperbolic space.

本论文通过计算双曲空间中子流形的第二基本形式模长平方的拉普拉斯和引进一个新的自共轭二阶算子，利用Stokes定理和Hopf定理得到了子流形的一些拼挤定理和刚性定理。

Theorem(Stokes's Theorem) Let be a piecewise smooth oriented curve in three-space, be a piecewise smooth oriented surface with boundary curve .The surface and the curve are related by a right-hand relationship, i.e., if the fingers of the right hand are cupped in the direction of ,then the thumbpoints in the direction of orientation of .,, have continuous first partial derivatives on and ,then

定理 设为分段光滑的空间有向闭曲线，是以为边界的分片光滑的有向曲面，的正向与的侧符合右手规则(即如果右手大拇指表示曲面的方向，则弯曲四指表示曲线的方向)，函数，，在曲面上具有一阶连续偏导数，则有下述公式成立

The domain derivative of the Navier-Stokes equations is given in the same manner as the Stokes equatons' domain derivative by reducing to homogeneous equations and proving continuous character and existence of Frechet derivative .

同样利用对非齐次方程的齐次化、证明目标函数对区域的连续性和其导数的存在性，同时给出了定常Navier-Stokes方程的区域导数完整的理论证明。

The second part is devided into two chapters, it\'s main aim is to study the global solutions to 1-d compressible Navier-Stokes equations, and it is organized as follows:In Chapter 2, we introduce the second boundary value problem for the compressible Navier-Stokes equations in the half space.

第二部分分为二章，主要讨论一维可压Navier-Stokes方程整体解的存在性，其中：第二章讨论了不可渗透问题(流体的速度在边界上为0情形)，其中对温度给出了第二边值条件。

By using the second order Stokes wave theory,the wave force is calculated and the method to deduce the formula of the second order Stokes wave force spectrum is explored.

本文基于二阶Stokes非线性波浪理论探讨了采用非线性波浪理论时随机波浪力谱的计算方法，并用一典型算例，对本文公式的计算结果与线性波理论的计算结果进行比较。

By using the second order Stokes wave theory, the wave force is calculated and the method to deduce the formula of the second order Stokes wave force spectrum is explored. A representative example is given and the results horn calculation are obtained in the form of curves for comparison.

本文基于二阶7Stokes非线性波浪理论探讨了采用非线性波浪理论时随机波浪力谱的计算方法，并用一典型算例，对本文公式的计算结果与线性波理论的计算结果进行比较。

Although the dispersion of particles with the Stokes numbers far less than or of the same order of 1 are insensitive to the changes of inlet velocity differences, the dispersion of particles with Stokes number much larger than the order of 1 are influenced by the coherent structures under U〓/U〓=α=0, where α=0 means the particles are released into the flow in stationary state.

在目前国内开展三维N-S方程大涡模拟还非常困难的情况下，本文以两相平面湍射流为对象，不采用流动对称性假设，成功地用大涡模拟方法预报了平面湍射流拟序结构的产生、发展及大涡的合并破碎全过程，和F.O。

With the development of combustion research and the temperature measurement as well as relevant techniques, the flame temperature measuring techniques begin to enter the common industry fields from labs, and extend to the aviation and aerospace industry. At the beginning of the 1980s, the Ijumdien Institute in Holland began to develop many industry flame temperature measurement installations based on thermal couples. And later, the National Aerospace Administration also successfully employed the Coherence Anti-stokes Raman Stokes in the flame temperature diagnostic of the precombustion chamber of space shuttle main engine (SSME, liquid H〓/O〓 propellant).

随着燃烧研究的深入和温度测量及其相关技术的不断发展，从1980年，火焰温度测量技术开始由实验室走向工业现场、从一般工业现场走向航空航天领域：欧洲以荷兰的Ijmuiden研究所为代表，研究开发了很多基于热电偶的工业燃烧火焰温度测量装置；美国国家航天局则成功地将相干拉曼斯托克斯方法用于航天飞机的主发动机（SSME，液氢液氧发动机）预燃室燃烧火焰温度诊断上。

The Porsche Owner: But it's my car!

可，这是我的车呀。

LOX_83}{Oh, another bunch of wackos.

{LOX_83}{呃，又一群怪人。