上微分

A diffeomorphism is applied to transform the nonlinear system into a new coordinate system. The stability and robustness of the system are analysized in detail.

根据微分同胚，将含有建模误差的非线性系统变换为易于分析的规范形式，并在此基础上分析了故障诊断系统的稳定性和鲁棒性。

Differential equations and difference equations are powerful tools that describe the law of nature, but it is difficult to find their general solutions. Therefore , there has been an increasing interest in the study of the nature of solutions of differential equation and difference equation in theory.

微分方程及差分方程是用来描述自然现象变化规律的一种有力工具，由于寻求其通解十分困难，故从理论上探讨解的性态一直是近年来研究的热点问题。

It is known theoretically that to the variational problem with weak constraints in cost functional J, its Euler equation can be discreted into difference format, by using matrix theory and difference method of partial differential equation we know that there exists optimal selection of weight factors in the cost functional under the condition of minimal variance between analysis field and ideal field.

从理论上可知，对于目标泛函J带有约束条件的变分问题，将其Euler方程离散成差分形式，利用矩阵理论和偏微分方程的差分方法，则目标泛函的权重因子，在分析场和理想场的最小方差意义下存在最优选取。

The research of differential structure on the algebra system, has opened up a new field for the research of algebra, and offered a new method and thinking, greatly expanded the scope of application of algebra.

代数系统上的微分结构的研究，为代数学的研究开辟了新的领域，提供了新的方法和思路，极大的扩展了代数学应用的范围。

I had to take a few extra courses during the next year, and I chose reading courses in modern algebra and differential equations for the summer afterwards.

在接下来的一年里我不得不上额外的几门课程，我选择在接下来的暑假修完近世代数和微分方程。

Based on initial condition, during certain time span, numerical analysis method of differential equation, algebra iteration and optimization method are used to solve response of generalized system and to analyze stability of generalized system.

从初始条件出发，在一定时间长度上，采用微分方程数值积分法、代数迭代和优化方法来求解系统响应，获得非线性广义系统稳定性的数值分析方法。

Is in the elementary grade, differential calculus and integral calculuses these three manifestations, look for it in the inside structure and prove the thought up of organic unify;Combine to these are not some application of in other respect equation.

本文主要介绍几个重要不等式如不等式等在初等、微分和积分这三个方面的表现形式，寻找其在内在结构和证明思想上的有机统一；并给出这些不等式在其他方面的一些应用。

An attempt to change the way calculus and differential equations are taught, both at the high school and university level.

尝试在高中，大学水平上进行不同的微积分和微分方程教学方法

This paper theoretically studies the design of the negative coefficient fourfold differential circuit formed by single operational amplifier.

从理论上研究了单块集成运算放大器构成的负系数四次微分电路的设计，着重分析了该电路的直流误差，并给出了电路的设计公式。

In the analysis of the circuit, the differential equation based on the theory of electromagnetism had been established; the circuit qualitatively had been analyzed, and the current on the coil in the process of experiment had been calculated.

在电磁压制放电电路的模拟分析中，基于电磁学理论建立了放电过程的微分方程，对电路作了定性的分析；通过对实验参数的模拟，求解出实验过程中线圈上的载荷电流。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。