查询词典 imbedding theorem

Finally,usingHodge decomposition theorem,domain variations theory and capacitytheory,we prove that the continuity of very weak solutions of a classof nonlinear elliptic equations on varying domains.

最后，使用Hodge分解、区域拓朴和容量理论，我们证明了一类非齐次半线性椭圆型方程很弱解关于区域的连续依赖性。

Chapter 4 at first concerns a doubly degenerate parabolic inequality.A Liouville-type theorem is obtained by carefully choosing desired test functions for weak solutions of the inequality problem.

第四章首先考虑一类双重退化抛物型不等式，通过适当选用试验函数的办法得到此抛物不等式弱解的Liouville型定理。

Major topics covered are: basic concepts of probability, sample space and events, axioms of probability, random variables, discrete and continuous distributions, joint and marginal distributions, numerical characteristic for random variables, the weak law of large numbers, central limit theorem, basic concepts of statistics, parameter estimate, hypothesis testing and regression analysis.

本课程的基本内容有：随机事件及其概率、随机变量及其分布、多维随机变量及其分布、随机变量的数字特征、大数定律与极限定理、数理统计的基础知识、参数估计、假设检验、回归分析。

By properties of a real function, fixed points problem on two complete metric spaces are discussed.The result generalizes corresponding result of Fisher.Moreover, this result provides a general convergence rate estimate. Meanwhile, we discuss the existence of fixed point on two normed linear spaces under the condition of weak topology, and we obtain a new fixed point theorem.

利用实函数性质，讨论了两个不同度量空间中两个映象乘积的不动点问题，推广了Fisher的主要结果，并给了出逼近不动点的敛速估计；同时，在弱拓扑的意义下，利用分析的方法，讨论了赋范空间中有关映象不动点的存在性，得到一个新的不动点定理。

Akin-Kolyada theorem said that for a weakly mixing system the proximal cell of any point is residual.

Akin-Kolyada定理指出，弱混合系统的每个点的proximal核为通有的，即包含了一个稠密的G〓集。

Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array, a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the Euler's theorem and the coordinate transform is introduced.

由于猎雷艇作为动基座的存在和声纳基阵的框架结构特点，提出了以艇体坐标系为运动坐标系，运用变形的欧拉定理和坐标变换建立声纳基阵相对自身坐标系的旋转运动方程的建模思想；将所建立的矢量形式的动力学模型展开整理，获得了状态矩阵形式的猎雷声纳基阵动力学方程，为系统动力学模型的实用化奠定了基础。

Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array,a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the Eulers theorem and the coordinate transform is introduced. The dynamic equations of minehunting sonar array with the state matrix form are founded by settling the dynamic models with the vector form. So it offers theory foundation for analyzing the dynamic characteristic and designing robust control.

由于猎雷艇作为动基座的存在和声纳基阵的框架结构特点，提出了以艇体坐标系为运动坐标系，运用变形的欧拉定理和坐标变换建立声纳基阵相对自身坐标系的旋转运动方程的建模思想；将所建立的矢量形式的动力学模型展开整理，获得了状态矩阵形式的猎雷声纳基阵动力学方程，为系统动力学模型的实用化奠定了基础。

E.T. Whitaker develops the sampling theorem that forms the basis of today's PCM and TCM technologies.

E.T。惠特克开发抽样定理，成为今天的PCM和TCM技术的基础理论。

His simple and elegant 1930 proof of the Hardy–Littlewood theorem found its place in the well-known monographs by Titchmarsh, Knopp, Doetsch, Widder, Hardy and Favard.

他简单而优雅的1930年证明了的Hardy - Littlewood定理发现它由蒂施马奇，诺普，Doetsch担任，万邦，哈代和Favard著名的专着的地方。

Based on dq model in the unified reference frame, at first the steady-state dq model in the stator power winding synchronous speed reference frame was obtained; next the method of the static stability analysis was presented and the small signal model was developed, and then the stability condition was given by means of Lyapunov theorem and the input conditions of different control strategies were studied.

在其任意坐标系下dq模型的基础上，推导出功率绕组同步速坐标系下稳态dq模型；提出一种静态稳定性分析的方法，并建立小信号模型；由李雅普诺夫稳定判据得出电机稳定运行的条件，并且根据不同的控制策略讨论其输入条件。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"