Mathematical Sciences: Oriented Matroids and Radon Partitions

数学科学：有向拟阵和氡分区

• 批准号: 8912204
• 负责人: James Lawrence
• 金额: --
• 依托单位: George Mason University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-10-15 至 1992-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8912204&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Oriented; Matroids; Radon

This award supports the research in Combinatorics of Professor James Lawrence of George Mason University. Dr. Lawrence's project is to investigate the concept of a Radon partition of a finite set in Euclidean space, and to generalize and extend this concept in the context of oriented matroids. This research falls in the broad category of Combinatorics, which is one of the most active fields in today's mathematics. Fundamentally, Combinatorics represents a systematization of the very first of all mathematical activities, counting. In its modern development, however, Combinatorics has gone beyond just counting to make use of a wide variety of advanced mathematical techniques, and although its roots go back several centuries, the field has had an explosive development in the past few decades because of its importance in communications and information technology.

该奖项支持乔治梅森大学的詹姆斯·劳伦斯教授在组合学方面的研究。Lawrence博士的项目是研究欧几里得空间中有限集合的Radon划分的概念，并在有向拟阵的背景下推广和扩展这一概念。这项研究属于组合学的广泛范畴，这是当今数学中最活跃的领域之一。从根本上说，组合学代表了对所有数学活动——计数——的系统化。然而，在其现代发展中，组合学已经不仅仅是计算，而是利用了各种各样的先进数学技术，尽管它的根源可以追溯到几个世纪以前，但由于它在通信和信息技术中的重要性，该领域在过去的几十年里有了爆炸性的发展。