The shape of a sausage: a challenging problem in the calculus of variations

被引：2
|
作者：
Deakin, Michael A. B. [1 ]
机构：
[1] Monash Univ, Dept Math Sci, POB 28M, Clayton, Vic 3800, Australia
来源：
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2010年 / 41卷 / 01期
关键词：
calculus of variations; flexible membrane; constrained maximum;
D O I：
10.1080/00207390903189211
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
Many familiar household objects (such as sausages) involve the maximization of a volume under geometric constraints. A flexible but inextensible membrane bounds a volume which is to be filled to capacity. In the case of the sausage, a full analytic solution is here provided. Other related but more difficult problems seem to demand approximate methods of solution.
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页码：119 / 126
页数：8
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