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复杂网络的基础，无标度网络程序 采用轮赌算法(The basis of complex network, scale-free network using round of betting algorithm procedure)

这是MATLAB程序设计的初步教程，希望对大家能有所帮助。(This is the initial MATLAB Programming Guide, in the hope that we can help.)

人工鱼群算法，在一片水域中,鱼往往能自行或尾随其他鱼找到营养物质多的地方,因而鱼生存数目最多的地方一般就是本水域中营养物质最多的地方，人工鱼群算法就是根据这一特点,通过构造人工鱼来模仿鱼群的觅食!聚群及追尾行为,从而实现寻优，以下是鱼的几种典型行为:(1)觅食行为:一般情况下鱼在水中随机地自由游动,当发现食物时,则会向食物逐渐增多的方向快速游去。(2)聚群行为:鱼在游动过程中为了保证自身的生存和躲避危害会自然地聚集成群，鱼聚群时所遵守的规则有三条:分隔规则:尽量避免与临近伙伴过于拥挤 对准规则:尽量与临近伙伴的平均方向一致 内聚规则:尽量朝临近伙伴的中心移动。(3)追尾行为:当鱼群中的一条或几条鱼发现食物时,其临近的伙伴会尾随其快速到达食物点。特点：1)具有较快的收敛速度,可以用于解决有实时性要求的问题 2)对于一些精度要求不高的场合,可以用它快速的得到一个可行解 3)不需要问题的严格机理模型,甚至不需要问题的精确描述,这使得它的应用范围得以延伸.停止条件1) 判断连续多次所得的均方差小于语允许的误差2）判断某个区域的人工鱼群的数目达到某个比率3）联系多次所获取的值均不能超过已寻找的极值。 (Artificial fish swarm algorithm, in the midst of the waters, the fish tend to own or trailing other fish to find places with more nutrients and thus the largest number of fish survival in general is a place where most of the nutrients in the waters, artificial fish swarm algorithm is based on thisa characteristics, by constructing artificial fish to mimic fish foraging clusters and rear-end behavior, in order to achieve optimization, several typical behavior of the fish: (1) foraging behavior: the general case of fish in the water at randomthe free-swimming, swimming quickly when food is found, then the food is gradually increasing in the direction. (2) cluster behavior: the fish swimming in the process of naturally clustered, and abide by the rules when the fish cluster there are three: separate rule: try to avoid overcrowding with neighboring partners in order to ensure their own survival and to avoid harm alignment rules: as far as possible consistent with the mean direction of the)

用有限差分法、多项式拟合方法和三次样条插值方法对离散数据进行数值微分(Using the finite difference method, polynomial fitting method and cubic spline interpolation method for numerical differentiation of discrete data)

多目标粒子群算法求解模糊多目标的问题，快速有效。(Application of Multi-Objective Particle Swarm Optimization to Solve a Fuzzy Multi-Objective Reliability Redundancy Allocation Problem)

说明：  非常有用的matlab关于在数学方面的使用说明，回味学数学的同志们带来很大的帮助(Very useful in mathematics matlab on the instructions, the comrades of mathematics aftertaste of great help)

Imperialist Competition Algorithm - Source Code in MATLAB

This tutorial is intended for those who want to learn basics of MATLAB programming language. Even with a limited knowledge of this language a beginning programmer can write his/her own computer code for solving problems that are complex enough to be solved by other means. Numerous examples included in this text should help a reader to learn quickly basic programming tools of this language. Topics discussed include the m-files, inline functions, control flow, relational and logical operators, strings, cell arrays, rounding numbers to integers and MATLAB graphics.

this is a simulation of the problem random walk , coded in c

自由空间的路径损耗模型，有对数距离路径损耗和对数正态阴影路径损耗(Free space path loss model with logarithmic distance path loss and shadow lognormal path loss)