{"title":"堆栈超过一定大小的平均次数","authors":"K. Manes, I. Tasoulas","doi":"10.1109/IISA.2014.6878799","DOIUrl":null,"url":null,"abstract":"We obtain an explicit as well as an asymptotic formula for the average number of times a stack exceeds a fixed size j, after the execution of n push operations. The stack is assumed to have limitless capacity and all possible sequences of push and pop operations are considered to be equally likely.","PeriodicalId":298835,"journal":{"name":"IISA 2014, The 5th International Conference on Information, Intelligence, Systems and Applications","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The average number of times a stack exceeds a certain size\",\"authors\":\"K. Manes, I. Tasoulas\",\"doi\":\"10.1109/IISA.2014.6878799\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We obtain an explicit as well as an asymptotic formula for the average number of times a stack exceeds a fixed size j, after the execution of n push operations. The stack is assumed to have limitless capacity and all possible sequences of push and pop operations are considered to be equally likely.\",\"PeriodicalId\":298835,\"journal\":{\"name\":\"IISA 2014, The 5th International Conference on Information, Intelligence, Systems and Applications\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-07-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IISA 2014, The 5th International Conference on Information, Intelligence, Systems and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IISA.2014.6878799\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IISA 2014, The 5th International Conference on Information, Intelligence, Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IISA.2014.6878799","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The average number of times a stack exceeds a certain size
We obtain an explicit as well as an asymptotic formula for the average number of times a stack exceeds a fixed size j, after the execution of n push operations. The stack is assumed to have limitless capacity and all possible sequences of push and pop operations are considered to be equally likely.