Investigated the properties of LUCas sequence(LUC), the paper proposed a new variant of (probabilistic) public-key encryption scheme. Security analysis of the proposed encryption schemes shows that its one-wayness is ...Investigated the properties of LUCas sequence(LUC), the paper proposed a new variant of (probabilistic) public-key encryption scheme. Security analysis of the proposed encryption schemes shows that its one-wayness is equivalent to partial LUC discrete logarithm problem in ZN, and for the proposed probabilistic encryption scheme, its semantic security is equivalent to decisional LUC Diffie-Hellman problem in ZN. At last, the efficiency of the proposed schemes is briefly analyzed.展开更多
It is interesting to investigate the OZI-forbidden decays of orthoquarkoknium, J/ψ→γπ^0(γη,γη′), J/ψ→π^+π^-(π^0π^0). At first glance, there is infrared divergence in the above processes. In this wo...It is interesting to investigate the OZI-forbidden decays of orthoquarkoknium, J/ψ→γπ^0(γη,γη′), J/ψ→π^+π^-(π^0π^0). At first glance, there is infrared divergence in the above processes. In this work, to clear the mist we use the factorization method with the light cone wavefunction of the final state light meson. We prove straightforwardly that the infrared divergence can be eliminated completely.展开更多
We study the unexpectedly large rate for the factorization-forbidden decay B →xcoK within the QCD factorization approach. We use a non-zero gluon mass to regularize the infrared divergences in vertex corrections. The...We study the unexpectedly large rate for the factorization-forbidden decay B →xcoK within the QCD factorization approach. We use a non-zero gluon mass to regularize the infrared divergences in vertex corrections. The end-point singularities arising from spectator corrections are regularized and carefully estimated by the off-shellness of quarks. We find that the contributions arising from the vertex and leading-twist spectator corrections are numerically small, and the twist-3 spectator contribution with chiral enhancement and linear end-point singularity becomes dominant. With reasonable choices for the parameters, the branching ratio for B → XcoK decay is estimated to be in the range (2 ~ 4)× 10^-4, which is compatible with the Belle and BaBar data.展开更多
The paper explores the contribution of different factors affecting water use efficiency(WUE) of each sector and explores ways to improve WUE.A new Multi-Sector and Multi-Factors Logarithmic Mean Divisia Index(MLMDI) d...The paper explores the contribution of different factors affecting water use efficiency(WUE) of each sector and explores ways to improve WUE.A new Multi-Sector and Multi-Factors Logarithmic Mean Divisia Index(MLMDI) decomposition method was developed that enabled the identification of WUE by sector into 11 factors in terms of their order of importance.An application to Beijing at the 19 sector level was made for the period between 2002–2007.The water conservation effects of six measures proposed during the 12th-Five-Year-Plan of Beijing were assessed.It was found that,to decrease the transferred out and export of agriculture products and increasing water prices would be the top two most effective measures to promote water conservation.While the adjustment of direct water use structure would contribute in less significant way,the adjustment of industrial structure would have a negative effect.展开更多
An efficient algorithm is proposed for factoring polynomials over an algebraic extension field defined by a polynomial ring modulo a maximal ideal. If the maximal ideal is given by its CrSbner basis, no extra Grbbner ...An efficient algorithm is proposed for factoring polynomials over an algebraic extension field defined by a polynomial ring modulo a maximal ideal. If the maximal ideal is given by its CrSbner basis, no extra Grbbner basis computation is needed for factoring a polynomial over this extension field. Nothing more than linear algebraic technique is used to get a characteristic polynomial of a generic linear map. Then this polynomial is factorized over the ground field. From its factors, the factorization of the polynomial over the extension field is obtained. The algorithm has been implemented in Magma and computer experiments indicate that it is very efficient, particularly for complicated examples.展开更多
We obtain the double factorization of braided bialgebras or braided Hopf algebras and give the relations among integrals and semisimplicity of braided Hopf algebra and its factors.
基金Supported by the 973 State Key Project of China (No.G1999035803)the National Natural Science Foundation of China (No.69931010).
文摘Investigated the properties of LUCas sequence(LUC), the paper proposed a new variant of (probabilistic) public-key encryption scheme. Security analysis of the proposed encryption schemes shows that its one-wayness is equivalent to partial LUC discrete logarithm problem in ZN, and for the proposed probabilistic encryption scheme, its semantic security is equivalent to decisional LUC Diffie-Hellman problem in ZN. At last, the efficiency of the proposed schemes is briefly analyzed.
基金Supported by National Natural Science Foundation of China under Grant No. 10847117the Nature Science Fund of Hebei Province under Grant No. A2005000090Fund of Education Department of Hebei Province under Grant No. 2007409
文摘It is interesting to investigate the OZI-forbidden decays of orthoquarkoknium, J/ψ→γπ^0(γη,γη′), J/ψ→π^+π^-(π^0π^0). At first glance, there is infrared divergence in the above processes. In this work, to clear the mist we use the factorization method with the light cone wavefunction of the final state light meson. We prove straightforwardly that the infrared divergence can be eliminated completely.
基金The project supported in part by National Natural Science Foundation of China under Grant Nos. 10421503, 10675003 and the Key Grant Project of Ministry of Education under Grant No. 305001
文摘We study the unexpectedly large rate for the factorization-forbidden decay B →xcoK within the QCD factorization approach. We use a non-zero gluon mass to regularize the infrared divergences in vertex corrections. The end-point singularities arising from spectator corrections are regularized and carefully estimated by the off-shellness of quarks. We find that the contributions arising from the vertex and leading-twist spectator corrections are numerically small, and the twist-3 spectator contribution with chiral enhancement and linear end-point singularity becomes dominant. With reasonable choices for the parameters, the branching ratio for B → XcoK decay is estimated to be in the range (2 ~ 4)× 10^-4, which is compatible with the Belle and BaBar data.
基金supported by the National Natural Science Foundation of China under Grant Nos.71173210,71473244,and 61273208
文摘The paper explores the contribution of different factors affecting water use efficiency(WUE) of each sector and explores ways to improve WUE.A new Multi-Sector and Multi-Factors Logarithmic Mean Divisia Index(MLMDI) decomposition method was developed that enabled the identification of WUE by sector into 11 factors in terms of their order of importance.An application to Beijing at the 19 sector level was made for the period between 2002–2007.The water conservation effects of six measures proposed during the 12th-Five-Year-Plan of Beijing were assessed.It was found that,to decrease the transferred out and export of agriculture products and increasing water prices would be the top two most effective measures to promote water conservation.While the adjustment of direct water use structure would contribute in less significant way,the adjustment of industrial structure would have a negative effect.
基金supported by National Key Basic Research Project of China (Grant No.2011CB302400)National Natural Science Foundation of China (Grant Nos. 10971217, 60970152 and 61121062)IIE'S Research Project on Cryptography (Grant No. Y3Z0013102)
文摘An efficient algorithm is proposed for factoring polynomials over an algebraic extension field defined by a polynomial ring modulo a maximal ideal. If the maximal ideal is given by its CrSbner basis, no extra Grbbner basis computation is needed for factoring a polynomial over this extension field. Nothing more than linear algebraic technique is used to get a characteristic polynomial of a generic linear map. Then this polynomial is factorized over the ground field. From its factors, the factorization of the polynomial over the extension field is obtained. The algorithm has been implemented in Magma and computer experiments indicate that it is very efficient, particularly for complicated examples.
基金the Foundation of Hunan University (No.521101365)
文摘We obtain the double factorization of braided bialgebras or braided Hopf algebras and give the relations among integrals and semisimplicity of braided Hopf algebra and its factors.