In this paper,two operators are defined,and their underlying properties are found,then the R-dual relationship is classified from the aspect of the operators defined.Furthermore,the commutability of the bases of const...In this paper,two operators are defined,and their underlying properties are found,then the R-dual relationship is classified from the aspect of the operators defined.Furthermore,the commutability of the bases of constructing R-dual sequence is discussed.In particular,SR-dual sequence is defined and is clarified.At last an example is given.展开更多
In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost...In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and other α, almost staxlikeness of order α, spirallikeness of type β and starlikeness.展开更多
We systematically investigate the mass spectra of {Qs}{Q（＇）s} molecular states in the framework of QCD sum rules. The interpolating currents representing the molecular states are proposed. Technically, contribution...We systematically investigate the mass spectra of {Qs}{Q（＇）s} molecular states in the framework of QCD sum rules. The interpolating currents representing the molecular states are proposed. Technically, contributions of the operators up to dimension six are included in operator product expansion （OPE）. The masses for molecular states with various {Qs}{Q（＇）s} configurations are presented. The result 4.36 ± 0.08 Ge V for theDs＊ Ds0- ＊ molecular state is consistent with the mass 4350＋4.6 -5.1± 0.7 MeV of the newly observed X（4350）, which could support X（4350） interpreted as a D＊D＊so molecular state.展开更多
For classical transformation （q1,q2） → （Aq1 ＋ Bq2, Cq1 ＋ Dq2）, where AD - CB ≠ 1, we find its quantum mechanical image by using LDU decomposition of the matrix （A B C D ）. The explicit operators L, D, and U ...For classical transformation （q1,q2） → （Aq1 ＋ Bq2, Cq1 ＋ Dq2）, where AD - CB ≠ 1, we find its quantum mechanical image by using LDU decomposition of the matrix （A B C D ）. The explicit operators L, D, and U axe derived and their physical meaning is revealed, this also provides a new way for disentangling some exponential operators.展开更多
In the Internet economy of the twentieth century, the competition for customers between enterprises is stiffer so that they strive for customers by all means. As a kind of new thing in the Internet economy, E-commerce...In the Internet economy of the twentieth century, the competition for customers between enterprises is stiffer so that they strive for customers by all means. As a kind of new thing in the Internet economy, E-commerce can attract customers and expand sales efficiently; therefore, E-commerce becomes a powerful means by which enterprises can improve customer asset rapidly. However, compared with customer asset of traditional commerce enterprises, E-commerce enterprises customer asset is more liable to be affected by the surroundings, which will result in risk. On the other hand, though enterprises pay close attention to the study of customer asset risk of E-commerce enterprises currently, the academic circles have made little research in this respect, which is not helpful for enterprises to improve customer asset by applying for E-commerce, nor can meet the actual requirement for the development of academic circles. Therefore, the customer asset risk discernment of E-commerce enterprises has been studied in this paper, and case-based reasoning（CBR） has been applied to the discernment of the customer asset risk of E-commerce enterprise, which provides quantitative basis for customer asset risk management of E-commerce enterprises and conduces to the prevention of customer asset risk and the efficiency improvement of E-commerce.展开更多
A threshold scheme, which is introduced by Shamir in 1979, is very famous as a secret sharing scheme. We can consider that this scheme is based on Lagrange＇s interpolation formula. A secret sharing scheme has one key...A threshold scheme, which is introduced by Shamir in 1979, is very famous as a secret sharing scheme. We can consider that this scheme is based on Lagrange＇s interpolation formula. A secret sharing scheme has one key. On the other hand, a multi-secret sharing scheme has more than one key, that is, a multi-secret sharing scheme has p （〉_ 2） keys. Dealer distribute shares of keys among n participants. Gathering t （〈 n） participants, keys can be reconstructed. Yang et al. （2004） gave a scheme of a （t, n） multi-secret sharing based on Lagrange＇s interpolation. Zhao et al. （2007） gave a scheme of a （t, n） verifiable multi-secret sharing based on Lagrange＇s interpolation. Recently, Adachi and Okazaki give a scheme of a （t, n） multi-secret sharing based on Hermite interpolation, in the case ofp 〈 t. In this paper, we give a scheme ofa （t, n） verifiable multi-secret sharing based on Hermite interpolation.展开更多
基金Supported by the Science Foundation of Nature(60272042)
文摘In this paper,two operators are defined,and their underlying properties are found,then the R-dual relationship is classified from the aspect of the operators defined.Furthermore,the commutability of the bases of constructing R-dual sequence is discussed.In particular,SR-dual sequence is defined and is clarified.At last an example is given.
基金Supported by the National Natural Science Foundation of China(1062601510571044)
文摘In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and other α, almost staxlikeness of order α, spirallikeness of type β and starlikeness.
基金Supported by the National Natural Science Foundation of China under Grant Nos.10675167 and 10975184
文摘We systematically investigate the mass spectra of {Qs}{Q（＇）s} molecular states in the framework of QCD sum rules. The interpolating currents representing the molecular states are proposed. Technically, contributions of the operators up to dimension six are included in operator product expansion （OPE）. The masses for molecular states with various {Qs}{Q（＇）s} configurations are presented. The result 4.36 ± 0.08 Ge V for theDs＊ Ds0- ＊ molecular state is consistent with the mass 4350＋4.6 -5.1± 0.7 MeV of the newly observed X（4350）, which could support X（4350） interpreted as a D＊D＊so molecular state.
基金Supported by the President Foundation of Chinese Academy of Science and Specialized Research Fund for the Doctorial Progress of Higher Education under Grant No.20070358009
文摘For classical transformation （q1,q2） → （Aq1 ＋ Bq2, Cq1 ＋ Dq2）, where AD - CB ≠ 1, we find its quantum mechanical image by using LDU decomposition of the matrix （A B C D ）. The explicit operators L, D, and U axe derived and their physical meaning is revealed, this also provides a new way for disentangling some exponential operators.
文摘In the Internet economy of the twentieth century, the competition for customers between enterprises is stiffer so that they strive for customers by all means. As a kind of new thing in the Internet economy, E-commerce can attract customers and expand sales efficiently; therefore, E-commerce becomes a powerful means by which enterprises can improve customer asset rapidly. However, compared with customer asset of traditional commerce enterprises, E-commerce enterprises customer asset is more liable to be affected by the surroundings, which will result in risk. On the other hand, though enterprises pay close attention to the study of customer asset risk of E-commerce enterprises currently, the academic circles have made little research in this respect, which is not helpful for enterprises to improve customer asset by applying for E-commerce, nor can meet the actual requirement for the development of academic circles. Therefore, the customer asset risk discernment of E-commerce enterprises has been studied in this paper, and case-based reasoning（CBR） has been applied to the discernment of the customer asset risk of E-commerce enterprise, which provides quantitative basis for customer asset risk management of E-commerce enterprises and conduces to the prevention of customer asset risk and the efficiency improvement of E-commerce.
文摘A threshold scheme, which is introduced by Shamir in 1979, is very famous as a secret sharing scheme. We can consider that this scheme is based on Lagrange＇s interpolation formula. A secret sharing scheme has one key. On the other hand, a multi-secret sharing scheme has more than one key, that is, a multi-secret sharing scheme has p （〉_ 2） keys. Dealer distribute shares of keys among n participants. Gathering t （〈 n） participants, keys can be reconstructed. Yang et al. （2004） gave a scheme of a （t, n） multi-secret sharing based on Lagrange＇s interpolation. Zhao et al. （2007） gave a scheme of a （t, n） verifiable multi-secret sharing based on Lagrange＇s interpolation. Recently, Adachi and Okazaki give a scheme of a （t, n） multi-secret sharing based on Hermite interpolation, in the case ofp 〈 t. In this paper, we give a scheme ofa （t, n） verifiable multi-secret sharing based on Hermite interpolation.
