微分

Finally it analyzes the feasibility that using hydromechanics to analyze traffic flow by contrasting various characters between traffic flow and fluid flow. It analyzes influence of road alignment to basic expressway segment capacity by hydromechanics, and obtains viscous resistance and viscous movement differential equation when the vehicle drives on circular curve segment of expressway. And it infers that viscous resistance is correlated with sideway force coefficient, slope of crown and radius of circular curve. Radius of circular curve, sideway force coefficient and slope of crown are bigger, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on nearside lane of circular curve; but radius of circular curve and sideway force coefficient are bigger, slope of crown is smaller, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on fast lane of circular curve.

最后通过对比交通流与流体流的相似性，运用流体力学分析了道路线形对快速路基本路段通行能力的影响，求出了车辆在曲线路段的粘性阻力，建立了车辆在曲线路段的粘性运动微分方程，并由此推知，粘性阻力与横向力系数、路拱横坡度和圆曲线半径都有关系，当车辆在圆曲线外侧车道上行驶时，圆曲线半径、横向力系数和路拱横坡度越大，粘性阻力就越小，对道路的通行能力影响就越小；而当车辆在圆曲线内侧车道上行驶时，圆曲线半径和横向力系数越大，路拱横坡度越小，粘性阻力就越小，对道路的通行能力影响就越小。

In addition, the voltage-current characteristic of linear resistive components is the general solution of Clairaut equation, and the voltage-current characteristic of non- linear components is the singular solution of Clairaut equation.

论文摘要：本文讨论了任意伏安特性电阻元件满足的基本微分方程以及非线性电路的功率匹配问题的几个定理，指出任意伏安特性电阻元件均满足非线性一阶的clairaut方程，并且，线性电阻元件的伏安特性是clairaut 方程通解，而非线性电阻元件的伏安特性是clairaut 方程的奇解。

In this paper, the problem of the robust stability and decay estimations of such control system is considered. Several new criteria are given by applying the differential theorem, the decay rate for this class of system is also obtained.

根据微分方程理论和矩阵指数特性，提出了具有不确定性的时滞控制系统与时滞相关和与时滞无关稳定的充分性判据，并给出系统衰减速率的估计方法。

Classical Statistical Mechanics; Hamiltonian and Ideal Gases; Factoring the Partition Function with the Semi-classical Approximation; PVTN Properties via Configuration Integral from Intermolecular Effects; Grand Canonical Ensemble I

经典统计力学；Hamilton函数与理想气体；半经典近似微分函数因数；对分子间作用，作定积分而得的PVTN性质；巨正则效果I。

The numerical modeling process for SVE remediation is achieved after a steady alternant direction implicit finite difference format is developed. In this paper, as an example, the 60 days remediation under 4 different conditions is simulated, which proves that the clear-up result is mainly governed by soil permeability.

再采用一个稳定的交替方向有限差分解出传质微分方程，从而实现多维情况下竖井SVE修复的完整模拟过程。4组不同条件下为期60d的SVE修复过程的计算机模拟显示，土壤通透系数是决定修复效果的关键因素。

In our model the probability density function of the jump size p is general. A closed series formula of the price is given by introducing some kind of Green function and the optimal exercise boundary of the perpetual put option is given by the smooth junction condition.

文章强调跳量的概率密度函数p是一般形式的，通过偏微分方程方法引入格林函数，给出永久美式看跌期权的价格，并通过自由边界条件给出最佳实施边界的显式表达式。

The stability of the closed loop predictive control system and optimization feasibility are investigated.

研究基于微分几何方法的反馈线性化技术在非线性模型预测控制中的应用。

Simulation results show the performance of closed loop system is improved using the output of the observer as feedback.

显然 ，这种方法本质上是用位置测量值的后向微分来估计系统的速

In chapter 3, the equation for solving free vibration of tube in tube tall building, which is developed by using equivalent closed tube method, is proved strictly to be the fourth-order Sturm-Liouville differential equation.

第三章严格证明了按等代筒体法推导出来的筒中筒高层结构自由振动方程是四阶Sturm-Liouville微分方程。

The Computation Fluid Dynamics solute a group of differential coefficient equation on mass,energy,momentum,user-defined scalar quantity by numerical value method ,and the solution can predict the detail of the flowing process.It have been the tool to optimize the process set or magnify the fix quantity design .

计算流体力学的原理是用数值方法求解非线性联立的质量、能量、动量和自定义的标量的微分方程组，求解结果能预报流动过程的细节，并成为过程装置优化和放大定量设计的有力工具。

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。