【文章标题】：Longest Straight Line Paths on Water or Land on the Earth (2018) 【文章标题】：地球上最长水上与陆地直线路径研究（2018年）
【文章正文】： Mathematics > History and Overview 数学 > 历史与概述 [Submitted on 9 Apr 2018 (v1), last revised 2 Jul 2018 (this version, v4)] [2018年4月9日提交（初版），2018年7月2日修订（本版v4）] Title:Longest Straight Line Paths on Water or Land on the Earth 标题：地球上最长水上与陆地直线路径研究 View PDF HTML (experimental) 查看PDF HTML（实验性功能） Abstract:There has been some interest recently in determining the longest distance one can sail for on the earth without hitting land, as well as in the converse problem of determining the longest distance one could drive for on the earth without encountering a major body of water. In its basic form, this is an optimisation problem, rendered chaotic by the presence of islands and lakes, and indeed the fractal nature of the coasts. In this paper we present a methodology for calculating the two paths using the branch-and-bound algorithm. 摘要：近期学界对两个问题产生研究兴趣：一是计算地球表面不触及陆地的最大直线航行距离，二是其逆向问题——计算陆地表面不遭遇大型水体的最大直线行驶距离。该问题本质上是受岛屿湖泊分布及海岸线分形特性影响的混沌优化问题。本文提出采用分支定界算法计算这两类路径的方法论。
Submission history 提交历史 From: Rohan Chabukswar [view email] 来自：Rohan Chabukswar [查看邮箱] [v1] Mon, 9 Apr 2018 20:01:44 UTC (5,683 KB) [v1] 2018年4月9日周一 20:01:44 UTC（5,683 KB） [v2] Sat, 5 May 2018 09:21:35 UTC (5,683 KB) [v2] 2018年5月5日周六 09:21:35 UTC（5,683 KB） [v3] Thu, 28 Jun 2018 14:16:45 UTC (5,447 KB) [v3] 2018年6月28日周四 14:16:45 UTC（5,447 KB） [v4] Mon, 2 Jul 2018 17:52:41 UTC (5,654 KB) [v4] 2018年7月2日周一 17:52:41 UTC（5,654 KB） References & Citations 参考文献与引用
Loading...
加载中...
Bibliographic and Citation Tools 文献计量与引文工具 Bibliographic Explorer (What is the Explorer?) 文献探索器（什么是探索器？）
Connected Papers (What is Connected Papers?)
关联论文（什么是关联论文？）
Litmaps (What is Litmaps?)
文献图谱（什么是Litmaps？）
scite Smart Citations (What are Smart Citations?)
scite智能引用（什么是智能引用？）
Code, Data and Media Associated with this Article
本文相关代码、数据与媒体
alphaXiv (What is alphaXiv?)
alphaXiv（什么是alphaXiv？）
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
CatalyzeX论文代码检索器（什么是CatalyzeX？）
DagsHub (What is DagsHub?)
DagsHub（什么是DagsHub？）
Gotit.pub (What is GotitPub?)
Gotit.pub（什么是GotitPub？）
Hugging Face (What is Huggingface?)
Hugging Face（什么是Huggingface？）
ScienceCast (What is ScienceCast?)
ScienceCast（什么是ScienceCast？）
Demos
演示
Recommenders and Search Tools 推荐与检索工具 Influence Flower (What are Influence Flowers?) 影响因子花图（什么是影响因子花图？）
CORE Recommender (What is CORE?)
CORE推荐系统（什么是CORE？）
arXivLabs: experimental projects with community collaborators
arXivLabs：与社区合作者共同开展的实验项目 arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. arXivLabs是一个允许合作者直接在我们网站上开发和共享新功能的框架。 Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. 与arXivLabs合作的个人和组织都认同我们关于开放性、社区协作、卓越性和用户数据隐私的价值观。arXiv坚持这些价值观，并仅与遵守这些价值观的合作伙伴合作。 Have an idea for a project that will add value for arXiv’s community? Learn more about arXivLabs. 有能为arXiv社区创造价值的项目构想？了解更多关于arXivLabs的信息。