{"title":"数论和数据压缩对数学建模的贡献","authors":"D.C. Newton","doi":"10.1109/SECON.1996.510076","DOIUrl":null,"url":null,"abstract":"A new number-theoretic approach describing the transformation of a set of data into a finite binary string is given. By applying a lossless data compression method to this string and viewing it as a restricted partition, the data can be plotted as a point on a number line, a plane, or in a 3- or 4-dimensional space for the purpose of storage and retrieval, analysis, and decision-making.","PeriodicalId":338029,"journal":{"name":"Proceedings of SOUTHEASTCON '96","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A contribution of number theory and data compression to mathematical modeling\",\"authors\":\"D.C. Newton\",\"doi\":\"10.1109/SECON.1996.510076\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new number-theoretic approach describing the transformation of a set of data into a finite binary string is given. By applying a lossless data compression method to this string and viewing it as a restricted partition, the data can be plotted as a point on a number line, a plane, or in a 3- or 4-dimensional space for the purpose of storage and retrieval, analysis, and decision-making.\",\"PeriodicalId\":338029,\"journal\":{\"name\":\"Proceedings of SOUTHEASTCON '96\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-04-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of SOUTHEASTCON '96\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SECON.1996.510076\",\"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 of SOUTHEASTCON '96","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SECON.1996.510076","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A contribution of number theory and data compression to mathematical modeling
A new number-theoretic approach describing the transformation of a set of data into a finite binary string is given. By applying a lossless data compression method to this string and viewing it as a restricted partition, the data can be plotted as a point on a number line, a plane, or in a 3- or 4-dimensional space for the purpose of storage and retrieval, analysis, and decision-making.
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