查询词典 abel equation

Detail are introduced as following: transfering the LS equation to difference equation, setting the initial conditions for different shape explosive at different initiation way (point, line, plane, divergent or convergent); the dealing method of different edge conditions; how to draw the curve graph in two dimensional space or surface graph in three dimensional space with the calculated data.

本文提出了在三维直角坐标系中爆轰波传播LS方程离散化方法，建立了相应的差分方程，研究了对不同形状炸药在多种起爆形式（点、线、面、散心、聚心）下初值条件的设定，以及各种边界条件的处理方法。

A simplified method was proposed to deal with the boundary condition at the turbine unit for transient calculation. This method is based on the statistical analysis of turbine hill chart and the Eular equation for water turbines. According to the Eular equation, the basic geometry parameters of the turbine, such as guide vane opening a, blade outlet angle β2, the relative blade width of outletb2, the relative height of wicket gateb0 and the relative turbine exit radiusr2 are obtained through curvilinear regression of the water turbine hill charts.

为解决目前水轮机过渡过程计算中确定水轮机边界条件时通常使用的外特性法和内特性法的不足之处，结合这2种方法的优点，提出一种在水轮机过渡过程计算中处理水轮机边界条件的方法，即根据综合特性曲线的数据，利用统计分析方法和水轮机基本理论公式，计算水轮机基于内特性解析方程的基本参教，如出流角α、转轮出口安放角β、转轮出口相对宽度b2、导叶相对高度b0、转轮出口相对半径r2，在特性曲线上的规律。

Compared with the light equation for cylindrical lens, the equation for conelens is much more complicated.

柱透镜在近轴平行光入射时，光线的振幅、相位、周期保持不变，而锥透镜的三者均发生变化，而且求解锥透镜的光线方程也比圆柱透镜复杂得多。

The governing equation of in-plane vibration of cable-restraint system is derived by means of D'Alembert principle, and then those partial differential equations are transformed into a set of ordinary differential equations by Garlerkin method. The method of Runge-Kutta integration is applied to solve the equation. The simulation analysis is made to prove that this vibration control has obvious damping effects and then the influence of cable tension, support mass, natural frequency and spring stiffness on the damping are discussed. Eventually, the approximate analytic solution of the optimum damping parameter is obtained to provide a simple and effective reference and design method for the engineers.

通过D'Alembert原理建立拉索－弹性约束系统振动方程，通过Galerkin方法将偏微分方程转化为常微分方程，应用龙格－库塔积分法求解方程；经过仿真分析，验证了该振动控制具有明显的减振效果，并且讨论了初始拉力、支座质量、振动频率及弹簧刚度对减振效果的影响；最后给出了计算最优阻尼参数的近似解析式，为工程师提供了简便有效的参考依据及设计方法。

The test results validated that the design principle of MR damper, the deduced rheological equation and the calculating equation of damping force are correct.

测试结果证实了本文所提出的磁流变阻尼器的设计原理、推导的流变学方程和阻尼力计算公式的正确性。

Aiming at the difficulties of solving large-scale normal equation and error equation,it proposes a method on the basis of Cholesky decomposition principle.

针对大型法方程和误差方程解算问题，提出为矩阵寻求一个好的排序，使得它的 Cholesky分解后的下三角矩阵有较少的非零元素个数。

In this paper, we will discuss the existing condition of the periodic solution of Duffing type equation with damping term. We use homeomorphism and fixed point method to prove the periodic solutions existence. We try to loose its condition, analysis and then get the existing condition of periodic solution according to defining atmospheric dynamics equation.

本文中，我们探讨带阻尼项的Duffing型方程周期解的存在性条件，运用不动点方法和Leray-Schauder度理论来证明其存在周期解，尽可能放宽其约束条件，并针对具体的大气动力学方程，分析并求取其周期解的存在性条件。

In the third chapter, I first gain the equation of the large deflection considering the plate that has original deflection, that is the equation of the compatibility and the bend deflection of the plate which has the effect of initial curvature.

第三章中首先叙述了考虑初挠度的薄板的大挠度微分方程，即相容方程和板的挠度方程、得出膜应力方程，再通过瑞次法求解板的挠度方程，得出在有初挠度情况下。

Non-fragile H control for uncertain singular systems with delay both in state equation and output equation.

状态和输出均有滞后的不确定广义系统的非脆弱H控制。

Based on the internal and external electrical field integral equation, the inversion equation is derived.

该方法是基于场点在目标区内、外的电场积分方程，建立适合于6FF40的反演积分方程。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。