差分方程

Advanced course covering topics selected from: semimartingale theory, stochastic integrals, homogeneous chaos expansions, stochastic differential equations, Malliavin calculus, infinite dimensional processes, functional central limit theorems, Feynman-Kac formula, Feynman integral.

随机分析：高级课程，包括：半鞅理论，随机积分，齐次混沌展开，随机差分方程， Malliavin 微积分，，有限维过程，泛函中心极限理论， Feynman-Kac公式， Feynman积分，过滤理论的应用，无限粒子系统，量子力学，神经学中的随机模型。

To gain some idea of the accuracy of the finite difference equation, we have used the system (14a)-(14c) with the initial E, being a half sine wave for the case of no obstacle.

获得一些想法的正确性有限差分方程，我们所使用的系统(14a的规定)-(14c)与最初的E、半正弦条件下的任何障碍。

Methods in discrete mathematics, such as finite difference equation, simulation, coding, etc. The related cases are "Mortgage loan and other financial problems","Simulation of inventory problem","Adding cipher and extricating for Hill code", and "Input-output analysis".

某些离散问题的数学方法(差分方程问题，仿真方法，密码学等)，这部分内容相应的教学案例是"个人住房抵押贷款与其他金融问题"，"库存问题的仿真方法"，"Hill密码的加密、解密和破译"和"投入产出分析"等

Physical parameter substitutes for phase-changing latent heat, then critical temperature of thermal conductivity welding is determined, so finite difference equation can be solved by MATLAB software.

改变热物性参数替代相变潜热确定了热传导焊接的临界温度值，利用自编的MATLAB程序对有限差分方程进行求解，数值模拟了焊件的温度场。

In chapter one, by using Krasnoselskii s fixed point theorem, necessary and sufficient c...

第一章讨论了一类带阻尼项的高阶非线性中立型差分方程正解的存在性，利用Krasnoselskii不动点定理，得到了非振动解存在的若干充分必要条件，这些结果改进和推广了一些已知的结果。

The topics covered in these sections are the geometric interpretation of systems of linear equations, the classification of finite symmetry groups in two and three dimensions, the exponential of a matrix and its application to solving systems of first order linear differential equations with constant coefficients, and Hurwitz's theorem on the composition of quadratic forms.

这些条文所涉及的主题是线性方程组的几何解释，在两个和三个有限对称群的分类方面，一个矩阵及其应用，以解决一阶常系数线性差分方程，系统指数赫尔维茨定理在二次形式组成。

Identifiability analysis of linear time-delay system is one of research subjects in process control.

线性时滞系统的辨识性分析是过程控制理论的研究课题之一，通过对系统差分方程的讨论，在4个定义的基础上推出了2个定理，进而证明了可辨识性。

In this project, we intend to combine the above mathematical ideas. First, we consider a wild family of dynamical systems which can be derived into a family of difference equations. Then using a generalized version of the implicit function theorem which we will establish, we want to show that for any dynamical systems near 「singular limit」, there exists a horseshoe structure and hence chaotic phenomena occur.

在此研究计画中，我们打算结合上述的数学结论与想法，进一步考虑一类能够转化成差分方程的动态系统函数族，使用即将建立的推广性隐函数定理，我们希望证明当参数接近奇异极限时，动态函数会具有马蹄结构所以有混沌现象。

So CLawDDEs can be used as an effective tool to test the integrability of nonlinear differential-difference equations.

因此，CLawDDEs可作为测试非线性微分差分方程是否可积的有效工具。

More than that, the use of conjugate gradient accelerated Jacobi method improves further the computational efficiency of the model.

同时，对离散后得到的五点差分方程，用共轭斜量加速Jacobi法进行求解，使计算效率进一步提高。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。