{"title":"有效的区间值计算","authors":"B. Nagy","doi":"10.1109/INES.2010.5483868","DOIUrl":null,"url":null,"abstract":"In this paper we present a computing system which based on computations on intervals over [0,1]. The interval-values are built up from points and atomic intervals. The Boolean operators are extended to these values in a natural way. Changing the bytes of the traditional computing to interval-values one gets the interval-valued computing device. We investigate the operators Rshift and Lshift as well. By a simulation the interval-valued computing device can compute everything that the classical computing devices can compute using bits in a byte. Moreover, theoretically, this device is more effective than the traditional computers, because of the possibility of infinite parallelism. A method is presented to solve the Q-SAT problem in linear time using the interval-valued approach. Our device uses the usual concept of intervals to make the computations in a very effective way. The list-representation of the interval-values is also presented. Based on these lists, theoretically, one can simulate the interval-computation both in mathematical and traditional computational way.","PeriodicalId":118326,"journal":{"name":"2010 IEEE 14th International Conference on Intelligent Engineering Systems","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Effective computing by interval-values\",\"authors\":\"B. Nagy\",\"doi\":\"10.1109/INES.2010.5483868\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we present a computing system which based on computations on intervals over [0,1]. The interval-values are built up from points and atomic intervals. The Boolean operators are extended to these values in a natural way. Changing the bytes of the traditional computing to interval-values one gets the interval-valued computing device. We investigate the operators Rshift and Lshift as well. By a simulation the interval-valued computing device can compute everything that the classical computing devices can compute using bits in a byte. Moreover, theoretically, this device is more effective than the traditional computers, because of the possibility of infinite parallelism. A method is presented to solve the Q-SAT problem in linear time using the interval-valued approach. Our device uses the usual concept of intervals to make the computations in a very effective way. The list-representation of the interval-values is also presented. Based on these lists, theoretically, one can simulate the interval-computation both in mathematical and traditional computational way.\",\"PeriodicalId\":118326,\"journal\":{\"name\":\"2010 IEEE 14th International Conference on Intelligent Engineering Systems\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE 14th International Conference on Intelligent Engineering Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/INES.2010.5483868\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE 14th International Conference on Intelligent Engineering Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INES.2010.5483868","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we present a computing system which based on computations on intervals over [0,1]. The interval-values are built up from points and atomic intervals. The Boolean operators are extended to these values in a natural way. Changing the bytes of the traditional computing to interval-values one gets the interval-valued computing device. We investigate the operators Rshift and Lshift as well. By a simulation the interval-valued computing device can compute everything that the classical computing devices can compute using bits in a byte. Moreover, theoretically, this device is more effective than the traditional computers, because of the possibility of infinite parallelism. A method is presented to solve the Q-SAT problem in linear time using the interval-valued approach. Our device uses the usual concept of intervals to make the computations in a very effective way. The list-representation of the interval-values is also presented. Based on these lists, theoretically, one can simulate the interval-computation both in mathematical and traditional computational way.