微分的

Moreover it is very difficult to confirm the divided difference interval rightly.

自动微分是一种新的能精确而有效地计算导数的方法，它优越于传统的微分方法。

Chapter 2 introduces the basic theories of AC = BD and pseudo-differential division with remainder, as well as the construction of exact solutions of differential equations under the instruction of the theory of AC = BD.

第二章介绍本文的理论基础：AC=BD理论和微分伪带余除法，并且阐述在AC=BD这一理论框架下的微分方程精确解的构造问题。

Therefore, accurate experimental data, such as cross sections,differential cross sections and double differential cross sections, are very important inapplications, at the same time they can be used to test and improve nuclear model andhelp us to understand nuclear reaction mechanism better.

因此，对反应的反应截面、微分截面和双微分截面进行准确地测量，既可为实际应用提供可靠的数据，同时又可检验和改进现有的模型理论，有助于进一步了解核反应机制。

The construction procedures used to establish the theory are based on orthogonal and elementary matrix transformations and can, therefore, be developed to a numerically efficient algorithm.

第一部分，我们想利用状态和微分回馈控制把一个时变周期离散的系统正则化，在这部分我们找到一个可以正则化的充分条件，并利用构造方法证明在这充分条件之下可以构造出状态和微分回馈控制矩阵，使的这周期闭回路系统可以被正则化。

Based on the thermodynamic analysis of heat transfer process between water jet and the blade surface, the differential equations of heat convection and differential equation of steady heat conduction between water jet and the blade surface are established. Power expression of heat exchange and temperature field expression of the blade are derived.

根据对水射流与刀片间传热过程的热力学分析分别建立了水射流与刀片表面对流换热微分方程组和热源与刀片间的稳态导热微分方程，推导出水射流对刀片的换热功率表达式和刀片内温度场表达式。

We establish a differential equation system via Newton method, and prove that the solution of nonlinear complementarity problems is exact the equilibrium point of differential equation system.

应用了牛顿的方法建立了微分方程系统，证明了非线性互补问题的解是所构造微分方程系统的渐近稳定平衡点，并给出了算法，证明了算法具有二阶收敛速度。

In recent years, the extensive application of the fractional differential equation in many modern scientific technique realms makes the research of its numerical method in and abroad prospers.

近年来，分数阶微分方程问题在现代科学技术领域获得了日益广泛的应用。由于其勿庸置疑的重要性，国内外对于分数阶微分方程问题数值方法的研究正在蓬勃兴起。

It is difficult to compute directly the coefficients from the integral formula, since the integral function in the formula of the ideal digital fractional differentiator is a high-order oscillating function.

从理想数字分数微分器系数计算公式的特点考虑，利用变量代换把积分函数中的振荡因子转换成积分上限，避免高阶振荡函数积分计算，给出了计算分数微分器系数的递推公式。

Taking generalized coordinates for variables, the differential equations of multiple elastic particles are decomposed into the differential equations in the independent form by introducing generalized coordinates .

通过广义坐标的引入，将多质点弹性体系的运动微分方程分解成以广义坐标为变量的独立微分方程形式。

In this thesis, we mainly study the homeomorphism flow properties of solutions for SDEs with jumps and backward stochastic differential equations, and also give some applications.

本文我们将上述结果作了以下两方面的推广，一方面是带跳随机微分方程解的同胚流及其应用，另一方面是倒向随机微分方程解的同胚流及其应用。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。