查询词典 characteristic equation

By analyzing the working characteristics of the laser crystal, the temperature field and thermal distortion field analytical expressions of Nd:GdVO4 crystals with super-beam end-pumped were obtained by the equation of aeolotropy heat conduction, which considered heat conduction aeolotropy characteristic of Nd:GdVO4 crystal.

通过激光晶体工作特点分析，考虑到Nd：GdVO4 晶体热传导各向异性的特点，采用各向异性传热的Poisson 方程，得出了超高斯光束端面泵浦Nd：GdVO4 晶体温度场以及热形变场的一般解析表达式。

Base on the systematically geological investigation and study, we choose to use aremote sensing data source,the geography control data source(1:50,000relief map of Qiaojia and measured GPS ) as the data source of this research, adopt"Digital Landslide"processing image data, and carry on time-space analysiscombining geological investigation and related data. Application aerodynamicist theories, some important conclusions that obtained from the wind-tunnel experiment,and according to the time –space analysis result, we analyzed the landslide dammingmovement mechanism, presumed the movement format of this high-speed landslide,studied the formation mechanism and the movement characteristic of this landslide ,calculated it's movement equation, applied VC language to write calculationprocedure of each stage of the landslide, computed movement speed and displacement,and made sure its possible stop district.

本文在前人研究的基础上，选用遥感数据源、地理控制数据源(1：5万巧家幅地形图及实测GPS点)为本研究的数据源，采用"数字滑坡"技术处理图像数据，结合野外实地考察及相关资料对石膏地滑坡进行了时空分析；运用空气动力学理论，采用胡厚田等人在风洞实验中得出的许多重要结论，根据时空分析结果分析滑坡的运动机理，推测高速滑坡的运动模式；研究石膏地滑坡的形成机理、运动特征及运动方程，并用C++语言在VC开发环境中编写滑坡各阶段的计算程序，计算滑坡的流动速度及运动位移，确定其可能的停止区域。

Through the analytical solutions of momentum differential equation for a stream with varying mass, a general characteristic parameter , depending on structure scale and flow parameter, is introduced.

在径向流体分布器的变质量动量方程理论模型的基础上，通过对模型解析解的分析，获得了包括径向分布器结构尺寸和流动参数的特征参数k／C。

According to the electrical power system characteristic, the modified equation which antipode coordinates form Newton - Rough abdicated improves and the simplification development has formed the P-Q resolution.

根据电力系统的特点，对极坐标形式的牛顿-拉夫逊的修正方程加以改进和简化发展形成了 P-Q 分解法。

In present textbook,for curvilinear parameter equation,there is no defined methods to solve characteristic of graph ,copy methods and the area of self-closed planar graph .

在现行教材中，有关参数方程所示曲线的图像特点、描绘方法以及自身封闭所围成的平面图形的面积等都未给出明确的求法，为此，文中给出了关于曲线参数方程的两个教学注记，以弥补教材中的不足。

In this thesis, we take the delay r as a bifurcation parameter to investigate the Hopf bifurcation phenomenon in system (1). By analyzing the associated characteristic transcendental equation of system (2), and using the Hopf bifurcation theorem, we obtain one condition for the existence of Hopf bifurcation in system (1). Furthermore, based on the center manifold theorem and the method of normal form, some interesting results about the properties of Hopf bifurcation are obtained, including the direction of Hopf bifurcation and stability of Hopf bifurcating periodic solutions.

我们以时滞T作为分支参数，研究了系统(1)的Hopf分支现象：通过分析系统(2)的特征超越方程，结合利用Hopf分支定理获得了系统(1)的Hopf分支存在的一个条件；利用中心流形定理和正规形方法分析了系统(1)的Hopf分支的性质，包括分支的方向和分支周期解的稳定性。

The Schur subspace iteration method is applied for the dynamic characteristic analysis of damped structure vibration system and coupled fluid－structure system. This method avoids complex computation and has good numerical stability. A accelerated technique and a pre－process method for the system matrix are suggested to improve the computational efficiency. The generalized uncoupled equation is obtained from the Schur matrix and a back substitution scheme of response computaton is developed.

第三部分将非对称特征值问题的Schur子空间迭代法应用于非经典阻尼结构振动系统和流固耦合系统的特征值分析，建立了相应的具体算法，并给出了用以提高迭代收敛速度的迭代加速和矩阵预处理等实用技术；利用Schur矩阵的结构特点，推导了系统方程的动力解耦形式，给出了响应计算的回代求解格式。

The rule about water flow in unsaturated soil and the soil-water characteristic curve are described in this papsr, and it respectively regards moisture content and capillarity head as basic variable to deduce unsaturated seepage control equation.

本文阐述了非饱和土中的流动规律和土—水特征曲线的特征及其应用，分别以含水量和毛细水头为未知量推导了非饱和渗流的控制方程。

Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续，导出了两段Bezier曲线特征向量应满足的关系方程，Bezier插补法不仅在理论上可使所有的插补点落在曲线上，而且实时插曲补速度高，每次插补时可合理地选择参数增量，能使插补速度保证不变，也可控制弓高误差。

The augmented Lagrange method is applied to the iteration calculations of the characteristic determinant of eigenvalve equation of the system.and then the results of para...

文中还介绍了一种建立粘弹性弹支多转子系统动力学模型的方法。计算结果与试验结果基本一致。

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。