查询词典 Stokes theorem

Then the propagation of an arbitrary nonideal optical beam is analyzed. In terms of the moment theorem, the performance of modes of BOR is analyzed from both points of view of geometry optics and diffractive optics. Comparing BOR with the resonators using plane mirror and spherical mirror or using plane mirror and aspherical mirror by finite element method, the design procedure for BOR is gave.

然后以衍射的角谱理论为基础，用矩量定理讨论了任意光束的传播规律，从几何光学和衍射光学的角度完整地分析了二元光学谐振腔的模式特征，用有限元方法数值对二元光学谐振腔、非球面腔和球面腔进行衍射分析，比较了三种腔型的差异，给出了二元光学谐振腔的设计方法。

Theorem 1: If a spherical triangle spherical triangle to the other extreme triangle , the other spherical triangle ...

定理1：如果一球面三角形为另一球面三角形的极三角形，则另一球面三角。。。

Based on them, we calculated precisely some enegy levels of P-wave and D-wave of a helium atom, presented and proved the general interdimensional degeneracies for a quantum N-body system, derived the general spherical spinor functions and the exact solution to the Dirac equation for the hydrogen atom, and proved uniformly the Levinson theorem for the Dirac equation in D-dimensions.

在此基础上，我们精确计算了氦原子P波和D波若干较低能级，建立和证明了量子N体系统不同维数状态间最普遍的简并，推导出任意 D 维空间广义球旋函数和Dirac方程氢原子的精确解，统一地提出和证明了任意 D维空间Dirac方程Levinson定理的一般形式。

According to the central limit theorem,the writer analyses the using case of air splicer,and clarifies the using distribution of air splicer,obtains the statistic on air consumption of air splicer.

运用中心极限定理对空气捻接器的使用情况进行分析，明确了空气捻接器的使用分布情况，得出了空气捻接器耗气量的统计数据。

First we have the following theorem: Let be a square matrix.

很好， 有竞争才能驱使自己努力向上。

The motion stability practical criterion of arch structure is brought forward on the base of Lyapunov theorem of motion stability.

在对Lyapunov运动稳定理论研究的基础上，提出了拱结构的运动稳定性实用判别准则。

Dynamical property of the system model with two populations is studied based on Lyapunov stability theorem and Routh-Hurwitz criterion.

运用Routh-Hurwitz判据研究了两种群系统模型的动力学性质。

On the basis of the Lyapunov stabilty theorem, the calculating method of the optimum coordinating gain on-line is put forward, which makes the algorithm stable and quick in convergence. Simulation results show that the method is effective.

根据Lyapunov稳定性定理，给出了MTS法稳定收敛的最优协调增益K的在线计算方法，大大加快了算法的收敛速度，以甲醇制甲醛生产优化控制为例，仿真结果表明，该方法是有效的。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理，在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下，通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道，在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件，并找到了一组对应的实参数，由此证明了异宿轨道的存在性。

The validity of simulating star map is verified by using the angle-distance of stars and projection theorem.

利用星间角距和投影原理的性质来验证星图模拟的有效性。

This was not understood at the time, and therefore went unaddressed, until ascension became so distorted that we chose to stop ascending and wait for a time when all records would be revealed.

这在当时没有被了解，因此进行着无改编，直到提升变得如此扭曲，我们选择去停止提升并等待所有记录能被揭示的那一天。

The attack＇s nuisance value is increased because mobile phone networks also send notifications of new voicemail by sms,so an attacked phone may stop advising of new voice messages too,it warned.

它警告：这种攻击的危害增长是因为移动电话网络也会通过短信发送新语音邮件的通知。所以受到攻击的手机可也以停止新的语音信息的提示。