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三次Ferguson曲线的扩展及应用
引用本文:熊 建,郭清伟.三次Ferguson曲线的扩展及应用[J].阜阳师范学院学报(自然科学版),2014(1):16-19.
作者姓名:熊 建  郭清伟
作者单位:[1]安徽审计职业学院基础部,安徽合肥230601 [2]合肥工业大学理学院,安徽合肥230009
基金项目:基金项目:安徽省自然科学基金项目(11040606M06);安徽省高校优秀青年人才基金重点项目(2013SQRLll3ZD);安徽省教育厅重点项目(2011AJZR0071)资助.
摘    要:对三次Ferguson曲线进行了扩展,构造了拟三次Ferguson曲线,当改变形状参数λ时,可以调控曲线的形状。它包含三次Ferguson曲线为其特例且具有三次Ferguson曲线的主要性质。文中还给出了拟三次Ferguson曲线的边界条件以及与几种常见的带形状参数样条曲线之间的转化矩阵。

关 键 词:扩展  拟三次Ferguson曲线  边界条件  形状参数

Extensions of cubic Ferguson and its applications
XIONG Jian,GUO Qing-wei.Extensions of cubic Ferguson and its applications[J].Journal of Fuyang Teachers College:Natural Science,2014(1):16-19.
Authors:XIONG Jian  GUO Qing-wei
Institution:1. Department of Basic Courses, Anhui Audit Vocational & Technical College, Hefei Anhui 230601, China 2. School of Science, Hefei University of Technology, Hefei Anhui 230009, China)
Abstract:Cubic quasi-Ferguson curve was constructed through the extension of cubic Ferguson curve. The shape of the curve could be adjusted by changing the values of the shape parameter A. The new curve has the cubic Ferguson curve as its special case and possesses the main properties of cubic Ferguson curve. Boundary conditions of the cubic quasi-Ferguson curve and the conversion matrix between the curve and several kinds of spline era'yes with shape parameter are also presented.
Keywords:extension  cubic quasi-Ferguson curve  boundary conditions  shape parameter
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