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限制在两平行线间的等周问题

刘海亭 李寿贵 柴方

数学杂志2012,Vol.32Issue(2):377-380,4.
数学杂志2012,Vol.32Issue(2):377-380,4.

限制在两平行线间的等周问题

THE ISOPERIMETRIC PROBLEM LIMITED IN TWO PARALLEL LINES

刘海亭 1李寿贵 1柴方1

作者信息

  • 1. 武汉科技大学理学院,湖北武汉430065
  • 折叠

摘要

Abstract

In this article, the isoperimetric curve problem supported by two parallel lines is studied. Using variational-method, with two parallel lines as supporting lines and the closed convex curve's area is fixed, we obtain the shortest perimeter curve.

关键词

等周问题/支撑线/极值曲线

Key words

isoperimetric problem/ supporting line/ extremal curve

分类

数理科学

引用本文复制引用

刘海亭,李寿贵,柴方..限制在两平行线间的等周问题[J].数学杂志,2012,32(2):377-380,4.

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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