科赫雪花曲线的机械化

Cui Haitao, Zhao Xi-qing
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引用次数: 0

摘要

在研究科赫曲线的生成规律和内在联系的基础上,利用矢量确定统一高效的数学模型,利用矢量的交角和模型,轻松地将问题转化为纯代数。然后,利用神经网络和数学优化方法寻找目标函数的最大值或最小值的离散值或连续值的模型参数,得到了一种非常有效的优化方法,在处理非线性模型的最具挑战性的方面。所以它可以在计算机上机械地实现,这是分形问题的机械化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Mechanization of the Koch Snowflake Curve
At the basis of studying the generating law and inner link of the Koch curve, making use of a vector to ascertain unified and high-effect mathematic model, it changes the problem into pure algebra easily with the intersection angle and model of the vector. Then, the use of neural networks and mathematical optimization methods to find the maximum or minimum value of the objective function of the discrete or continuous values of model parameters, has got a very effective optimization method in dealing with nonlinear model of the most challenging aspects. So it can be come true mechanically on the computer, this is a mechanization of the fractal problem.
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