折纸替代定理的应用

Q4 Decision Sciences Journal of the Operations Research Society of Japan Pub Date : 2017-07-01 DOI:10.15807/jorsj.60.393

H. Kawasaki

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引用次数: 1

摘要

替代定理是优化中有用的数学工具。它们的对象是一对线性系统。用折痕折叠一张纸在r中定义了一个线性不等式，所以可以通过多次折叠得到凸多边形。本文为折纸数学的对偶性提供了一个新的视角。我们证明了Gale的替代定理对扭折的研究是有用的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An application of a theorem of alternatives to origami

Theorems of alternatives are useful mathematical tools in optimization. Their objects are pairs of linear systems. Folding a paper with a crease defines a linear inequality in R. So one gets convex polygons by folding a paper many times. This paper provides a new perspective of duality to origami mathematics. We show that Gale’s theorem of alternatives is useful for the study of twist fold.

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来源期刊

Journal of the Operations Research Society of Japan 管理科学-运筹学与管理科学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The journal publishes original work and quality reviews in the field of operations research and management science to OR practitioners and researchers in two substantive categories: operations research methods; applications and practices of operations research in industry, public sector, and all areas of science and engineering.