查询词典 optimal normal form

With the aid of theory of normal form, the explicit expression of normal form for the averaged equations associated with a pair of double-zero eigenvalues and a pair of pure imaginary eigenvalues is given by using Maple program.

利用规范形理论和Maple符号程序，获得了一对双零特征值和一对纯虚特征值情况下平均方程的规范形。

What this text discussed is to provide a normal form ,judge which is it Normal form.

本文讨论的是给出一个范式，判定是那一种范式。

Prenex normal form of the first order logic propositional is the key to propositional logic. Generally, there are three steps to change get a prenex normal form: first of all get rid of the connection word; Secondly, make the negative word to the front of every atomic.

对于一阶谓词化为其前束范式问题，一般可以通过三个步骤完成，首先去掉逻辑式中的连接词；其次将否定词深入到各原子公式中；最后利用永真等价式将量词逐个移到式子的前部。

It is found that the validity of modal series method and linear modal method is not influenced by the second-order resonance condition, which has a great influence on normal form method. When the operating condition is near the second-order resonance condition, the valid area of normal form method is quite small.

发现模态级数法和线性模式分析法的有效性均不受系统共振的影响，而正规形法的有效性受系统共振情况的影响较大，在系统的2阶共振点附近，其有效域面积较小。

Also the normal form and thediagram of the Hopf bifurcation are deduced with the normal form direct method.Secondly, the influences of the physical and aerodynamic parameter on the type of theHopf bifurcation are analyzed. Study shows that the "hard" structural non-linearitiesand the longer distance of the suspension point and the center of mass render theairfoil safer, whereas the "soft" ones render the airfoil more unsafe.

同样应用规范型直接法，研究得出系统颤振的Hopf分岔解的规范型以及分岔图；其次，研究了系统结构和气动参数对Hopf分岔类型的影响，结果表明，表明具有&硬&弹簧性质的结构及增大悬挂点与质心的距离都有助于提高安全性，而应该避免应用&软&弹簧性质的结构。

The optimal position of uniform section is calculated, and compared with the normal prism homogenizer. According to the theory that the beam energy refracted by the trapezoid prism is divided into 3 parts then overlapped in the base of the middle high energy, it realizes the use of association with the normal prism in two-dimensional.

实验中根据经梯形棱镜折射后光束能量在中间较强光束的本底基础上进行三分互补叠加的原理，实现了其与普通棱镜均匀器在二维方向上的组合使用；通过调节均匀器与接收屏之间的距离并同时记录每一位置处光束光斑的能量分布改善情况，确定了最佳均匀截面位置并与理论计算相吻合。

In this paper, Newton iteration formula for computing normal depth and critical depth was put forward by mathematical transformation of uniform flow equation and critical flow equation of circular section tunnel. Then, the relationship between the corresponding central angle and the introduced parameters was analyzed. An approximate formula for angle was obtained according to optimal uniform approximation principle. Using this approximate formula as initial value of iteration formula, a direct formula for calculating normal depth and critical depth of circular section tunnel was established after its first iterative.

该文通过对圆形断面均匀流方程与临界流方程的数学变换，分别得到其正常水深与临界水深的牛顿迭代公式，同时，通过对正常水深与临界水深对应的中心角与引入参数之间关系的分析及数值计算，利用最优一致逼近原理分别得到了正常水深与临界水深对应中心角的近似计算式，并以此近似计算式为初值，用迭代方程进行一次迭代得到了圆形断面均匀流水深与临界流水深的直接计算公式。

Based on variational principle and split-based interpolation finite element method for fast and accurate analysis of normal mode helical antenna,Combination of genetic algorithm and then load the normal mode helical antenna loaded on the value of lumped elements,Load location,and matching network integrated optimal design parameters,And using Sherman-morrisorr Woodbury formula to quickly solce the load component values and load the changed position of the impedance matrix equation to improve the efficiency of optimized design.

采用基于变分原理和剖分插值为基础的有限元法来快速精确分析法向模螺旋天线，然后结合遗传算法对加载法向模螺旋天线上的加载集总元件的值、加载位置以及匹配网络参数进行一体化优化设计，并采用Sherman-Morrisorr Woodbury公式来快速求解加载元件值和加载位置改变后的阻抗矩阵方程，提高优化设计的效率。

Bernstein type theorem; Quaternion Euclidean space; minimal Lagrangian graphs; Twisted special Lagrangian submanifold; twisted normal bundle; Austere submanifolds; Real space form; Complex space form; Hamiltonian minimal submanifold; A Lagrangian submanifold with conformal Maslov form

基础科学，数学，几何、拓扑伯恩斯坦型定理；四元数欧氏空间；极小拉格朗日图；扭曲特殊拉格朗日子流形；扭曲法丛； Austere子流形；实空间形式；复空间形式；哈密尔顿极小子流形；具有共形Maslov形式的拉格朗日子流形

Introduces the notion of Feynman's path integrals and path integrals approach to financial modeling; Derives the path-dependent options pricing formula by making use of the Lagrange form of path integrals; Discusses Ilinski(2003)'s Gauge model which based on path integrals and fibre bundle, and its application for real-options evaluation; Summarizes the general modeling framework of options evaluation, taking advantage of the Hamilton form of path integrals; Applies the Geske-Johnson's analytical approximation in the path integrals form to the real-options evaluation for investment decisions, detailed procedure is presented under the assumption that underlying asset price dynamic follows a geometric Brownian motion, and the integral reduction for multivariate normal integrals and polynomial approximation for real-options evaluation is given.

系统论述了路径积分概念方法及其在期权估值中的应用，利用路径积分方法的Lagrange表述推导了路径依赖期权定价公式：探讨了基于路径积分和纤维丛的Gauge模型思想方法在实物期权价值评估中的应用；利用路径积分的Hamilton表述形式，总结了基于Hamilton表述的期权估值一般化框架；基于路径积分的形式框架建立了一个新的投资期权估值模型，并在具体的估值算法中给出了多重正态积分的降阶计算和期权价值的多项式逼近方法。

For every one of my New Year resolutions, I have been a backslider for years.

说到我的新年决心，我每年都做

With empathy and focus on a feeling level, we can all relate to the common ground of mutuality of emotions.

有了同情心和感觉上一级的重点，我们都可以涉及到相互的情感共同点。