R. V. Liere, J. D. Mulder, J. Frank, Jacques de Swart
{"title":"虚拟Fekete点配置:摄动复杂系统中的一个案例研究","authors":"R. V. Liere, J. D. Mulder, J. Frank, Jacques de Swart","doi":"10.1109/VR.2000.840498","DOIUrl":null,"url":null,"abstract":"Virtual environments have shown great promise as a research tool in science and engineering. In this paper, we study a classical problem in mathematics: that of approximating globally optimal Fekete point configurations. We found that a highly interactive virtual environment, combined with a time-critical computation, can provide valuable insight into the symmetry and stability of Fekete point configurations. We believe that virtual environments provide more natural interfaces to complex systems, allowing users to perceive, interpret and interact with the problem more rapidly.","PeriodicalId":375299,"journal":{"name":"Proceedings IEEE Virtual Reality 2000 (Cat. No.00CB37048)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Virtual Fekete point configurations: a case study in perturbing complex systems\",\"authors\":\"R. V. Liere, J. D. Mulder, J. Frank, Jacques de Swart\",\"doi\":\"10.1109/VR.2000.840498\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Virtual environments have shown great promise as a research tool in science and engineering. In this paper, we study a classical problem in mathematics: that of approximating globally optimal Fekete point configurations. We found that a highly interactive virtual environment, combined with a time-critical computation, can provide valuable insight into the symmetry and stability of Fekete point configurations. We believe that virtual environments provide more natural interfaces to complex systems, allowing users to perceive, interpret and interact with the problem more rapidly.\",\"PeriodicalId\":375299,\"journal\":{\"name\":\"Proceedings IEEE Virtual Reality 2000 (Cat. No.00CB37048)\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-03-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings IEEE Virtual Reality 2000 (Cat. No.00CB37048)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/VR.2000.840498\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings IEEE Virtual Reality 2000 (Cat. No.00CB37048)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/VR.2000.840498","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Virtual Fekete point configurations: a case study in perturbing complex systems
Virtual environments have shown great promise as a research tool in science and engineering. In this paper, we study a classical problem in mathematics: that of approximating globally optimal Fekete point configurations. We found that a highly interactive virtual environment, combined with a time-critical computation, can provide valuable insight into the symmetry and stability of Fekete point configurations. We believe that virtual environments provide more natural interfaces to complex systems, allowing users to perceive, interpret and interact with the problem more rapidly.
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