查询词典 difference equation

At and , we can get a univariate cubic equation in and its three roots . By the dependence of the roots and the coefficients of the equation, we can choose corresponding space points ( such that the distance is the shortest from to the point with parameters and . Thereby we can get all the data of discrete points on the cubic curve of blending surface at . Again we denote the maximum value and minimum value of planar parameter with which meets by and respectively.

利用根与系数的连续相依性，可以选相应的空间点使其距离的圆截线上对应值的点最近的两个根，从而得到处拼接曲面的截线的离散点的数据并确定出与相截的平面参数的最大最小值类似地由处拼接曲面截线的离散数据得到处的离散数据，这样可以依次计算出拼接曲面上对应所有参数点的离散点的坐标。

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。

What was it that made you want to change sider ?

是什么使你临阵倒戈？

I don't know what he wants, but let's play along with him.

我不知道他要干什么，可我