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。本书首先讲述了MATLAB语言程序设计基础，然后分别介绍了符号计算在微积分和复变函数两门大学数学基础课程中的应用，接着系统的介绍了线性方程组、非线性方程与最优化方法、特征值与特征向量、插值与函数逼近、估计方法和数据拟合、积分计算、常微分方程的数值方法。从实用角度考虑，本书许多章节都给出了一些数值分析的应用范例，并在最后一章单独介绍了一些综合性较强的数学建模问题(This book starts by describing the basis of MATLAB programming language, and then introduced the symbolic computation in calculus and complex functions based on two college courses in applied mathematics, and then introduced the system of linear equations, nonlinear equations with the most optimization method, eigenvalue and eigenvector, Interpolation and function approximation, estimation and data fitting, integral calculation, numerical methods for ordinary differential equations. From a practical point of view, many of the chapters the book gives some numerical analysis are examples of the application, and separate in the final chapter describes some of the more integrated mathematical modeling)

5点法计算数值微分，5dianfa jisuan shuzhi weifen(calculate the numerical differentiation using 5 points method.)

有约束2a+b^2+tan(c)=15 目标函数a*exp(b/x)+c=y 的最小二乘解(Binding 2a+ B ^ 2+ Tan (c) = 15 the objective function a* exp (b/x)+ C = y the least squares solution)

[t, y]=EULER_forward_ODE(f, t0, y0, tend, Niter) 欧拉向前逼近法求解微分方程初值问题 f定义了函数f（t，y）的 t0时的初始值定义吨 Y0的定义y的初始值( [t, y]=EULER_forward_ODE(f, t0, y0, tend, Niter) Euler forward approximation method to solve IVP ODEs f defines the function f(t,y) t0 defines initial value of t y0 defines initial value of y)

Physical Review A 76 043833 所有关键程序(Physical Review A 76 043833 )

利用快速傅立葉轉換，配合omp的CS範例.(Fast Fourier Transform, with the the omp of the CS example.)

利用matlab归一化算法提取边缘后配准目标图像，并能框出目标物(get edge )

a linear image denoising procedures denoising good results, a simple coding procedures

说明：  这是一个快速的三维图像双边滤波的实现。这个过滤器平滑图像的同时保留边缘，但在其最直接的实现是非常计算的要求，特别是对大型3D图像。快速双边滤波是一种近似技术，极大地提高了计算速度。我的实现严格遵循Matlab版的快速二维滤波器，只是做了一些修改(This is an implementation of fast bilateral filtering for 3D images. This filter smoothes the image while preserving edges, but in its most straightforward implementation is very computationally demanding, especially with large 3D images. Fast bilateral filtering is an approximation technique which drastically improves the speed of computation. My implementation closely follows the Matlab version of the fast 2D filter with some modifications)

ULTRSIM是一款超声图像仿真软件，可以作为超声图像仿真研究的工具，附有matlab代码(ULTRSIM is an ultrasound image simulation software can be used as a tool for simulation of ultrasonic images)