The paper succeeds in the obtaining a class of generalized non-uniform Cantor set based on the iteration (1): Si(x) = αix + bi, x ∈ [0, 1], i = 1,2,…, m, where 0 〈 αi 〈 1, i = 1,2,…,m; bi + αi 〉 0, i =...The paper succeeds in the obtaining a class of generalized non-uniform Cantor set based on the iteration (1): Si(x) = αix + bi, x ∈ [0, 1], i = 1,2,…, m, where 0 〈 αi 〈 1, i = 1,2,…,m; bi + αi 〉 0, i = 1,2,…,m- 1, b1 = 0 and αm + bm = 1. Providing the sufficient and necessary conditions of its existence Hausdorff measure.展开更多
FLUSH+RELOAD attack is recently proposed as a new type of Cache timing attacks.There are three essential factors in this attack,which are monitored instructions.threshold and waiting interval.However,existing literatu...FLUSH+RELOAD attack is recently proposed as a new type of Cache timing attacks.There are three essential factors in this attack,which are monitored instructions.threshold and waiting interval.However,existing literature seldom exploit how and why they could affect the system.This paper aims to study the impacts of these three parameters,and the method of how to choose optimal values.The complete rules for choosing the monitored instructions based on necessary and sufficient condition are proposed.How to select the optimal threshold based on Bayesian binary signal detection principal is also proposed.Meanwhile,the time sequence model of monitoring is constructed and the calculation of the optimal waiting interval is specified.Extensive experiments are conducted on RSA implemented with binary square-and-multiply algorithm.The results show that the average success rate of full RSA key recovery is89.67%.展开更多
The optimality of a fuzzy logic alternative to the usual treatment of uncertainties in a scheduling system using fuzzy numbers is examined formally. Processing times and due dates are fuzzified and presented by fuzzy ...The optimality of a fuzzy logic alternative to the usual treatment of uncertainties in a scheduling system using fuzzy numbers is examined formally. Processing times and due dates are fuzzified and presented by fuzzy numbers. With introducing the necessity measure, we compare fuzzy completion times of jobs with fuzzy due dates to decide whether jobs are tardy. The object is to minimize the numbers of tardy jobs. The efficient solution method for this problem is proposed. And deterministic counterpart of this single machine scheduling problem is a special case of fuzzy version.展开更多
In this paper,a necessary and sufficient condition of a measure to be the product Borel probability measure on the product space of some compact metric spaces are given.
基金Supported by the Scientific Research of Hanshan Teacher's College(2004)
文摘The paper succeeds in the obtaining a class of generalized non-uniform Cantor set based on the iteration (1): Si(x) = αix + bi, x ∈ [0, 1], i = 1,2,…, m, where 0 〈 αi 〈 1, i = 1,2,…,m; bi + αi 〉 0, i = 1,2,…,m- 1, b1 = 0 and αm + bm = 1. Providing the sufficient and necessary conditions of its existence Hausdorff measure.
基金supported by National Natural Science Foundation of China (No.61472357,No.61309021,No.61272491, No.61173191)the Major State Basic Research Development Program(973 Plan) of China under the grant 2013CB338004
文摘FLUSH+RELOAD attack is recently proposed as a new type of Cache timing attacks.There are three essential factors in this attack,which are monitored instructions.threshold and waiting interval.However,existing literature seldom exploit how and why they could affect the system.This paper aims to study the impacts of these three parameters,and the method of how to choose optimal values.The complete rules for choosing the monitored instructions based on necessary and sufficient condition are proposed.How to select the optimal threshold based on Bayesian binary signal detection principal is also proposed.Meanwhile,the time sequence model of monitoring is constructed and the calculation of the optimal waiting interval is specified.Extensive experiments are conducted on RSA implemented with binary square-and-multiply algorithm.The results show that the average success rate of full RSA key recovery is89.67%.
文摘The optimality of a fuzzy logic alternative to the usual treatment of uncertainties in a scheduling system using fuzzy numbers is examined formally. Processing times and due dates are fuzzified and presented by fuzzy numbers. With introducing the necessity measure, we compare fuzzy completion times of jobs with fuzzy due dates to decide whether jobs are tardy. The object is to minimize the numbers of tardy jobs. The efficient solution method for this problem is proposed. And deterministic counterpart of this single machine scheduling problem is a special case of fuzzy version.
基金Supported by the NSF of China(10571063)Supported by the NSF of Guangdong Province(05006515)
文摘In this paper,a necessary and sufficient condition of a measure to be the product Borel probability measure on the product space of some compact metric spaces are given.