{"title":"随机级联 α 模型的研究","authors":"张勇和, 刘连寿, 张孝泽","doi":"10.1360/ZA1994-24-10-1076","DOIUrl":null,"url":null,"abstract":"对随机级联模型作了较为仔细的研究,讨论了间歇指数对基元分割数λ的依赖性,并提出了分割数M不等于基元分割数的整数次方时计算矩的方法. 发现,单一基元分割数λ的模型不满足分形所要求的:对任意整数M都成立反常指数规律. 随机地取多个基元分割数,能显著地改善这一情况. 为了今后的应用,还建立了一种基元分割数λ非整数的 α 模型.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"随机级联 α 模型的研究\",\"authors\":\"张勇和, 刘连寿, 张孝泽\",\"doi\":\"10.1360/ZA1994-24-10-1076\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"对随机级联模型作了较为仔细的研究,讨论了间歇指数对基元分割数λ的依赖性,并提出了分割数M不等于基元分割数的整数次方时计算矩的方法. 发现,单一基元分割数λ的模型不满足分形所要求的:对任意整数M都成立反常指数规律. 随机地取多个基元分割数,能显著地改善这一情况. 为了今后的应用,还建立了一种基元分割数λ非整数的 α 模型.\",\"PeriodicalId\":256661,\"journal\":{\"name\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-10-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1360/ZA1994-24-10-1076\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1360/ZA1994-24-10-1076","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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