解析微分

Based on forecasting model, five algorithms are presented, that is, 1 algorithm for free motion of the plant when the analytical solution is available, 2 numerical differentiation algorithm, 3 improved numerical differentiation algorithm, 4 sensitivity matrix algorithm and 5 reference integral curve method.

推导了具有预测模型的算法的形成过程，指出了这种算法的物理实质，给出了基于预测模型算法的五种具体算法：1、系统自由运动有解析解时的算法；2、数值微分算法；3、改进的数值微分算法；4、灵敏度矩阵算法；5、基准积分曲线方法。

Three elements should be calculated in first-order circuit, which can synthesise analytical solution. Second-order series RLC and parallel RLC both can be calculated by the general function, which uses the Matlab to calculate differential equations. Generally, second-order and high-order circuits use Laplace transformation to formulate circuit equation, and get analytical solution by using Laplace inverse transform.

一阶电路先计算3要素，后合成解析结果；RLC串联和并联的二阶电路采用自编的通用函数计算，自编函数采用了Matlab求解微分方程的符号运算方法；一般的二阶电路和高阶电路采用拉氏变换列写电路方程，再用拉氏反变换得到解析结果。

The results of statistic property theory analysis show that GCASM is in close agreement with the differential equation model of the general growth system in the sense of mathematical expectation.

但是 ，对于大多数与实际动力学系统相关的问题，其微分方程模型没有解析解，为了对微分方程模型进行求解，人们通常放弃符

A differential iteration solution is presented by combining the features of bidirectional iteration method, Newton′s interpolation formula and direct differential method.

将"双向迭代"、牛顿二次差商以及直接微分等分析手段有效地结合起来，形成一种被称为"微分迭代"的波导方程解析方法。

The closed-form expressions are derived so that all required differentiations are obtained in closed form and numerical differentiation can be avoided.

特别是对微带和缝隙混合结构的空域MoM分析，旋度算子的微分在谱域进行，并可以给出它们的解析表达式，其对应的空域格林函数可通过高阶的Sommerfeld恒等式获得，从而避免了数值微分。

The differential equations of three mass points are derived for different mass relations between them,and their analytic solutions are obtained,by which the movement rule of three mass points are discussed.

分析了一个由三质点和弹簧构成的系统的运动问题，给出了三质点质量满足不同关系时各质点的运动微分方程，求出了运动微分方程的解析解，并由此讨论了各质点的运动规律。

The Fourier transfermation about the azimuthal angle and Hankeltransfermation about the radial dirction have been used to turn the basic dis-placement equatioons and constitutive equations under cylindrical coordinatesystem into a system of second order ordinary differential equations in thewavenumber domain,by use of the initial prarameter method to solve differ-ential equations.

利用关于方位角的Fourier变换及关于径向的Hankel变换，将柱坐标系下位移基本方程和本构方程转化为波数域内二阶常微分方程组，利用求解微分方程的初参数法，建立了介质层的传递矩阵，导出了层状弹性半空间在地表作用任意静荷载情形下的解析解。

Even so,algebraically explicit analytical solutions covered in open literatures are very few up to now,on account of mathematical difficulties in accordance with analyzing partial differentialequations.

尽管如此，因解析求解各种偏微分方程在数学上有一定的难度，所以，国际上的公开文献中关于代数显式解析解的报道少之又少。

The nonlinear hyperbolic conservation laws of the transient flow of the media in gas pipeline are hard to he solved, so, the control conservation laws are constituted of mass, momentum arid energy conservation laws, TVD/Godunov hydrid algorithm is used to simulate the transient flow in gas pipeline, and the traditional splitting approach processing nonlinear convection in momentum equation is dismissed ,the convection tern; is directly processed, in the way, the stablization of the algorithm and emulating accuracy of the transient flow are greatly improved.

针对管道中介质瞬变流动的非线性偏微分方程组难以解析求解的问题，由质量、动量、能量三个偏微分方程构成的控制方程组，应用TVD/Godunov混合算法数值模拟天然气管道中气体的瞬变流动，摒弃了传统的差分方法时动量方程非线性时流项的线性化处理，而直接处理非线性对流项，从而大大提高了算法的稳定性和管道瞬变流动的仿真精度。

Secondly, the fractional order differentiation of rectangle signal, triangle signal and trapezia signal are carried out, meanwhile the analytical expressions of them are presented in this paper.

给出了一些常用周期信号分数阶微分的解析形式，同时也研究了周期序列的分数阶微分运算的数字实现。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。