用LAPLACE方法求解多维沃尔泰拉方程，此处为一个变元的方程，由于该方程同时含有微分和积分，一般求解有一定的困难。此处为MATLAB程序，注意不同的边界条件-used method for multiple preoperational Ertaila equation here as a variable element of the equation, As the same time contain differential equations and integral, the general solution is definitely difficult. MATLAB here for the procedures, attention to the different boundary conditions 下载
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用LAPLACE方法求解多维沃尔泰拉方程，此处为一个变元的方程，由于该方程同时含有微分和积分，一般求解有一定的困难。此处为MATLAB程序，注意不同的初始条件-used method for multiple preoperational Ertaila equation here as a variable element of the equation, As the same time contain differential equations and integral, the general solution is definitely difficult. MATLAB here for the procedure to different initial conditions 下载
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此程序代码为基于遗传算法的PID整定，利用MATLAB编程实现。该程序通过遗传算法实现参数寻优，是一种不需要任何初始信息并可以寻求全局最优解的、高效的优化组合方法。-this procedure code based on genetic algorithms for PID tuning, using MATLAB programming. The procedures through genetic algorithm optimization of the parameters. is a not need any initial information and can find the global optimum, efficient optimization method. 下载
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在本问题的求解中，修桥和挖隧道是两个相类似的求解过程，我们将求解过程分为两个部分：第一、对河岸边一固定点 ，将桥修在 处时，求解由起始点 到经固定点 到居民点 的最短路线。第二、如何确定 的位置，使得总路线的费用最小。我们分别用了两个模型来进行这两部分内容的求解。模型一、针对坡度的限制，利用小区域内的局部最优来达到全局最优。模型二、列出点 有一定的位移时，可以减少的费用 的函数方程，然后利用河岸附近等高线较紧密，公路不能沿偏离等高线方向前进的特性，求出减少的费用 的条件极值，从而确定最佳修桥地点 。最后，我们利用模型一、二的原理对隧道部分的公路做了同样的优化设计，然后得出总的修路费用估计为324万元，较合理。最后，我们对整个做法的误差及合理性做了分析。-in solving this problem, building bridges and two tunnels are dug similar to the solution process, we will be solving process is divided into two parts : the first, on the banks of the river a fixed point of the bridge repair in the Department, from the starting point to solve by the fixed point to settlements in the shortest routes. Second, how to determine the location, making the cost of the smallest general line. We were using the two models, both part of the solution. One model, the slope of the restrictions against use of the local small areas to achieve optimum global optimum. Model 2, listing a certain point of displacement, can reduce the cost of the equation, and then using the riverbank near the contours more closely, not along the highway from contour direction of the character 下载
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屋檐的水槽 问题的背景 最优配料问题 摘要 20世纪以来，科学技术得到了飞速发展，数学也在这个发展过程中发挥了它不可替代的作用，同时它自身也得到了空前的发展。由于计算机的迅速发展和普及，大大增强了数学解决现实问题的能力。 我们经常使用模型的思想来认识世界和改造世界，这里的模型是针对原型而言的。模型是人们为一定的目的而对原型进行的一种抽象。而数学模型并不是一个新生事物，很久以来它就伴随在我们身边，可以说有了数学并且要用数学去解决实际问题时就一定要使用数学语言、方法去近似的刻画这个实际问题，这就是数学模型。数学模型主要是使用数学知识来解决实际问题，因此，数学是掌握和使用数学模型这个工具的必要条件和重要基础。 本课程设计是用数学的方法解决生产过程中的最优配料问题。 最优配料问题是指生产中通过切割、剪裁、冲压等手段，将原材料加工成所需大小，按照工艺要求，确定下料方案，使所用材料最省，或利润最大。 -eaves of the flume the background optimal ingredients Summary Since the 20th century, science and technology have been developing rapidly, the mathematics is the development process play its irreplaceable role, while it itself has been an unprecedented development. Due to the rapid development of computer and popular, greatly enhancing the mathematics to solve practical problems. We often use the model of thinking to understand the world and change the world here against the prototype model is speaking. The model is for certain people for the purpose of the prototype of an abstract. While mathematical model is not a new thing, it has long been accompanied around us, It can be said with math and use math to solve practical problems when they must use the language of mathematics. methods sim 下载
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