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.

引用

页码：119 / 126

页数：8

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