{"title":"用微分方程法推导出t复杂度和lz复杂度的公式","authors":"K. Hamano, Hirosuke Yamamoto","doi":"10.1109/ISIT.2009.5205702","DOIUrl":null,"url":null,"abstract":"It is shown that the T-complexity can be derived from a differential equation which represents how average codeword length increases by the T-augmentation. Furthermore, the proposed differential equation method can be applied to the LZ-complexity in the same way. This new approach is simple, and the obtained expressions coincide with the ones in previous studies.","PeriodicalId":412925,"journal":{"name":"2009 IEEE International Symposium on Information Theory","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"A differential equation method to derive the formulas of the T-complexity and the LZ-complexity\",\"authors\":\"K. Hamano, Hirosuke Yamamoto\",\"doi\":\"10.1109/ISIT.2009.5205702\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that the T-complexity can be derived from a differential equation which represents how average codeword length increases by the T-augmentation. Furthermore, the proposed differential equation method can be applied to the LZ-complexity in the same way. This new approach is simple, and the obtained expressions coincide with the ones in previous studies.\",\"PeriodicalId\":412925,\"journal\":{\"name\":\"2009 IEEE International Symposium on Information Theory\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 IEEE International Symposium on Information Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2009.5205702\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2009.5205702","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A differential equation method to derive the formulas of the T-complexity and the LZ-complexity
It is shown that the T-complexity can be derived from a differential equation which represents how average codeword length increases by the T-augmentation. Furthermore, the proposed differential equation method can be applied to the LZ-complexity in the same way. This new approach is simple, and the obtained expressions coincide with the ones in previous studies.