微分的

This course presents some of the basic ideas and methods in the studying of ODE and their applications.

同时，本课程也为后续课程（如微分几何、偏微分方程等）的学习做好准备。

The course content includes ordinary differential equation, linear algebra, vector calculus, Fourier analysis and partial differencial equation partial differential equation, with the aim to train students in establishing an exact perception to the meaning of theory, calculation and experimentation.

课程内容有常微分方程，线性代数，向量微积分，Fourier 分析及偏微分方程式等章节，训练同学在理论，计算及实验间建立正确的认知及意义。

In this paper, we first study the existence of positive solution and oscillation of neutral differential equation with...

第一章多滞量中立型时滞微分系统的正解存在性及振动性在这一章中，我们讨论中立型时滞微分方程

There are two ways to describe uncertainty: one is by way of the stochastic differential equation, another is using the differential inclusion.

描述不确定性的方法主要有两种：一种是利用随机微分方程来描述；另一种是利用微分包含来描述。

Combining forward and backward stochastic differential equations and filtering techniques, the Nash equilibrium point of a type of partially observed LQ nonzero sum stochastic differential game problem is obtained.

摘要结合正倒向随机微分方程理论和滤波技术，给出了一类部分可观测信息下线性二次非零和随机微分对策问题的纳什均衡点。

By comparison with some traditional differentiation methods, such as divided differences, by-hand coding and symbolic differentiation, AD is characterized by a lot of virtues, e.g., truncation error free, less running cost and less human labor required.

比起传统意义上的计算微分方法来，自动微分具有计算精度高、计算代价小及投入人力少等优点。

One combines the initial value computing method of system of ordinary differential equations (Runge-Kutta Method) with optimization method, another co...

1是将常微分方程组初值的龙格-库塔法与最优化计算方法相结合；2是将常微分方程组边值差分解法与最优化计算方法及 3点插值法相结合。

So called reservoir is physical or mathematical; for a physical system, the mathematical model is a system of partial differential equations with related initial and boundary value conditions, it can describe important physical process occurring in the system, for example, the process occurring in reservoir, which mainly concludes flow of fluids and transportation of mass, gravity、 viscosity、compressibility have effect to it; differential equations describing this process are obtained by combining Darcy law of every phase and its mass equilibrium in differential form.

这种模型是物理的或数学的；一个物理系统的数学模型，是偏微分方程组和适当的一组初、边值条件的总体，它能够描述在系统中发生的重要的物理过程，比如在油藏中发生的过程，主要是流体的流动和质量的转移，重力、粘滞力、压缩性等在流体流动过程中都是起作用的；描述这个过程的微分方程是由将各相达西定律和各该相的微分形式的物质守恒相结合而得到的。

The discretisation of the velocity space in the kinetic theory of gases allowsus to replace an integro-partial-differential equation,the Boltzmann equation,by a system of hyperbolic semi-linear partial differential equations.

在气体运动论中将速度空间离散化处理，使得我们可以用一个双曲型的半线性偏微分方程组来取代Boltzmann方程这个积分微分方程。

Where , then is said to be differentiable at . is called the total differential of at, denoted by , i.e..

可表示为，其中，则称函数在点可微分，而称为函数在点的全微分，记作，即

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。