微分的

Based on the sliding response theory of the free-standing equipment, the differential equation of motion of the free-standing equipment under seismic excitations is presented. The equation is solved by Runge-Kutta algorithm, therefore the absolute acceleration, relative velocity and relative displacement of the equipment can be obtained. The sequential coulomb friction model is applied to the analysis.

以前人研究建立的浮放设备滑移反应分析理论为基础，给出了浮放设备在水平和竖向地震输入下滑移反应运动微分方程，选取连续型的库仑摩擦力模型，采用Runge-Kutta法求解浮放设备地震滑移反应运动微分方程，可以得到浮放设备在地震作用下的绝对加速度、相对速度和相对位移反应时程。

In addition also introduced the differential theorem of mean in the proof equality and the inequality, the certificate equation root existence, asks the limit, to ask the approximate value, as well as aspect and so on research function condition should thus deepen to the differential theorem of mean understanding.

此外还介绍了微分中值定理在证明等式和不等式、证明方程根的存在性、求极限、求近似值，以及研究函数性态等方面的应用，从而加深对微分中值定理的理解。

Two fundamental concepts are introduced:exact Yang-Mills equation and characteristic transformation of Yang- Mills gauge fields.

然后构造了一类线性微分变换，称之为SU(3)规范场的示性变换，它具体给出联络和截面之间的微分关系。

For the problem that passive millimeter wave image is fuzzy and of low resolution,the partial differential equation method is proposed for high-resolution restoration of the image and then the PDE model and the corresponsive image restoration algorithm are given.

针对被动毫米波图像模糊和分辨率较低，提出采用偏微分方程方法进行图像的高分辨率恢复，并给出了偏微分方程模型和相应的图像恢复算法。

Multivalued functional differential equations and integrodifferential equations are an important branch in the theory of nonlinear analysis, which have wide applications in many fields such as engineering, economics, optimal control and optimization theory.

多值泛函微分方程和积分微分方程是非线性分析理论的一个重要分支，它在工程、经济、最优控制及最优化理论等领域有着广泛的应用。

Key words:Spectral and pseudospectral approximation,incompressible fluid flow,un-bounded domain,nonlinear partial differential equations.

本文的主要方法与技巧对无界区域中的其它偏微分方程同样适用。关键词：方法谱与拟谱逼近，无界区域，不可压缩流，非线形偏微分方程。收敛性和稳定性

This paper mainly introduces several different methods to prove the mid-value theorem, at the same time the mid-value theorem is applied in the mathematical theory, such as the application and mathematical modeling.

本文主要推荐几种不同的方法证明微分中值定理，同时对微分中值定理加以应用，如在数学理论中和数学建模中的应用。

An improved tracking differentiator is proposed based on the study of typical tracking differentiators.

在对典型跟踪微分器深入研究的基础上，提出一种改进的非线性跟踪微分器。

In the second method, the nonlinear tracking differentiator is applied to producing the differential signal of the pitch angle, which is used to calculate the pitch angular rate.

给出了两种重构方法，一种是通过建立等效的线性模型，设计线性状态观测器重构状态信号，另一种是使用非线性跟踪微分器方法，通过跟踪俯仰角的微分信号来计算俯仰速率信号。

Three displacement functions w,Gand ψare introduced in this paper tosimplify motion equations of elasticity problenis in spherically isotropic media to an indepen-dent partial differential equation concerning one displacement function ψand simultaneous equations concerning two other displacement functions w and G.

本文引入三个位移函数，将球面各向同性弹性力学运动方程，简化为关于ψ的二阶偏微分方程，和关于W和G的联立方程。在静力学问题中，联立方程可进一步简化，w和G可用另一位移函数F表示，而F满足一个四阶偏微分方程。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。