查询词典 characteristic equation

In order to make motion planning fitting practice,many characteristic of CNC trajectory motion were discussed,such as the geometric,the motion and the time,the relation between orbit function and motional parameter was set up,the differential simultaneous equation about the trajectory motion was derived.

为了让运动规划符合实际，分析了数控加工轨迹运动几何特性、运动特性和时间特性，建立了轨道函数与运动参数的联系，推导出轨迹运动微分方程组。

The approximate solution to FPK equation isobtained. The joint probability density function and stationary mean out-crossing rateare investigated for ship nonlinear rolling subjected to additive white noise excitation.Melnikov function and phase space flux are applied to analyze highly nonlinear rolland capsizing of ships in the random seas. The variation of phase space flux withrespect to the characteristic wave period, significant wave height and damping ofships is studied.

求FPK方程近似解，研究白噪声激励下船舶非线性横摇运动的联合概率密度函数及稳定期望穿阈率，应用Melnikov函数和相空间转移率研究船舶在随机波浪中的强非线性横摇运动及其倾覆问题，考虑波浪特征周期、有义波高及船舶阻尼特性的变化规律，推导了船舶在随机横浪中的极限波高的表达式。

According to piezoelectric equation and vibration theory of quartz crystal, we studied the elastic wave＇s transmission characteristic in a AT-cut thickness-shear-vibration quartz crystal, and the frequency conditions of which quartz crystal resonator formed stationary wave in electrode district.

根据石英晶体的压电方程和晶体振动理论，研究了AT-切石英晶体厚度切变振动模式下振动频率与结构参数间的关系，以及石英晶体谐振器在电极区形成稳衡驻波的频率条件及电极区外波的传播特性。

By the utilization of the symmetric characteristic of the tensor,algebra relation between the elements in the tensor and refraction index ellipsoid equation,an approach base on Attenuated-total-reflection technology was proposed for the measurement of the QEO coefficient of the organic polymer.

利用该张量的对称特性、各个元素之间的已知关系以及折射率椭球公式，本文提出了一种基于衰减全反射技术的测量有机聚合物二次电光系数的方法。

By the utilization of the symmetric characteristic of the tensor, algebra relation between the elements in the tensor and refraction index ellipsoid equation, an approach base on Attenuated-total-reflection technology was proposed for the measurement of the QEO coefficient of the organic polymer.

有机聚合物材料的二次电光系数是衡量其二次电光效应的一个重要参数，其可以用一个6×6阶的张量来表示。利用该张量的对称特性、各个元素之间的已知关系以及折射率椭球公式，本文提出了一种基于衰减全反射技术的测量有机聚合物二次电光系数的方法。

Two fundamental concepts are introduced:exact Yang-Mills equation and characteristic transformation of Yang- Mills gauge fields.

然后构造了一类线性微分变换，称之为SU(3)规范场的示性变换，它具体给出联络和截面之间的微分关系。

Stability shows asymptotic behaviors of a system. Chapter 3 discusses Sobolev-Galpern equation with pseudoparabolic characteristic, studies the stability under disturbance of the initial value, i.e., the Lyapunov stability problem, and shows the global asymptotic behavior of the trivial solution.

在第三章，本文考(来源：Ab6BC论文网www.abclunwen.com)察了具有伪抛物特性的Sobolev-Galpern方程关于初始值扰动下的稳定性问题，即Lyapunov稳定性问题，论证了其平凡解的全局渐近稳定性。

The first conclusion infers the sufficient condition with the aid of thealgebra Riccati equation solution and the semi-group theory nature which the systemmay optimize;Next discussed when the system operator characteristic vector forms theRiesz base,causes control function concrete mathematical expression which its systemmay optimize;Finally summarized the system to be possible to optimize the researchnewest conclusion and the research forecast.

第一个结论借助代数Riccati方程的解及半群理论性质推导出系统可最优化；其次讨论了系统算子的特征向量形成Riesz基时，使其系统可最优化的控制函数的具体数学表达式；最后总结了系统可最优化研究的最新结论和研究展望。

The research work is given as follows. Aiming at the difficulty of traditional form and the lack of the concise and effective mode, the geometry characteristic, the theory of conjugacy and the form of scrolls are analyzed. A general describing mode of scrolls based on Whewell equation is presented on the design of profiles.

主要在以下几个方面进行了研究工作：针对采用传统方式描述的型线表达形式各自相异，缺乏简洁有效的型线通用模型，重点研究分析了涡旋型线几何特性、构成形式与啮合理论；提出了基于Whewell方程的涡旋型线通用曲线函数类表征形式。

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。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。