查询词典 hyperbolic cotangent

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。

The innovation of our thesis lies in:1 We do not require quadratic space to have hyperbolic basis. Moreover, we only require M to be projection module instead of free module;2 Eichler transformation is used instead of the traditional matrix transformation in our proof;3 Not only do we extend the relative results obtained by Bak and Vavilov and the results obtained by Vaserstein and You hong , we also simplify the proof significantly.

我们的创新之处在于： 1 不要求二次型空间具有双曲基，甚至不要求M是自由模，而仅要求M是投射模； 2 我们在论证中使用的是Eichler变换而不是传统的矩阵； 3 我们的结果不仅推广了Bak与Vavilov以及Vaserstein与游宏的相应结果，而且论证也极大地简化了。

We obtained a kind of sufficient condition for 2-harmonic submanifolds becoming minimal submanifolds in hyperbolic space and an integral inequality like Simons integral inequality.

得到了双曲空间中2-调和子流形成为极小子流形的一个充分条件，以及一个Simons型积分不等式。

Dynamical behaviors such as periodic, quasi-periodic and chaotic waveforms are observed on oscilloscope. It is expected that the proposed chaotic sources and their circuit implementations are beneficial to the application of neural networks. 4 A template of Cellular Neural Network is derived aimed at solving second-order hyperbolic wave equations based on space discrete method, a novel alternating recursive algorithm implementation is given.

提出了采用复数神经网络进行FIR滤波器设计的方法，利用复数信号能够同时携带幅度和相位信息的特点，构造了相应的具有复数的状态、偏置输入、输出、网络联接权的复数神经网络，证明了算法的收敛性，给出了网络的电路实现图，这方面工作对于拓展神经网络算法的应用范围和寻求FIR滤波器的设计新方法是有益的。

Spacelike case: Hyperbolic space H2, spacelike plan.? Timelike case: Null scroll- Timelike umbilical surface: de Sitter 2-space S2, timelike plan.

在此基础上，我们给出了伪全脐曲面的一种分类：·类空的情况：双曲空间H~2，类空平面。

planetarium building ; U-shaped glass passage ; glass spiral ; irregular hyperbolic glass

玻璃工程分北立面幕墙及采光顶、马鞍形玻璃通道、4个空间钢结构玻璃旋

The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations.

基本的方法是以双曲型偏微分方程组的简单波解为根据的。

We obtain several decay estimate of solutionsto hyperbolic system of first order by different norms of initial data.

得到了一阶双曲组Cauchy问题解的几个衰减估计。

The shock response of hyperbolic tangent system is investigated under the action of rectangular pulse.

研究双曲正切包装系统在矩形脉冲作用下的冲击响应。

To similinear hyperbolic system, we use interpolated coefficient FEM and get similar results as the linear one.

对于一阶半线性双曲组，我们对半线性项插值系数有限元方法，得到了和线性问题类似的结论。

Mr. Putin said there were signs of genocide against the Ossetian people.

普京说，有迹象表明对南奥塞梯人进行了种族清洗。

What I'm trying to say, Tristan is...

特瑞斯坦。我想说的是。