Oriented quantum algebras (coalgebras) are generalizations of quasitriangular Hopf algebras (coquasitriangular Hopf algebras) and account for regular isotopy invariants of oriented 1-1 tangles, oriented knots and ...Oriented quantum algebras (coalgebras) are generalizations of quasitriangular Hopf algebras (coquasitriangular Hopf algebras) and account for regular isotopy invariants of oriented 1-1 tangles, oriented knots and links. Let (H, or, D, U) be an oriented quantum coalgebra over the field k. Then (H×H, φ, D×D, U× U) is a trivial oriented quantum coalgebra structure on the tensor product of coalgebra H with itself, where φ (a × b, c × d) = σ-( a, c)σ (b, d). This paper presents the oriented quantum coalgebra structure ( H×H, σ, D×D, U× U) on coalgebra H× H, where σ( a × b, c× d) = σ ^-1 ( d1, a1 ) σ( a2, c1 ) σ^-1 ( d2, b1 ) σ( b2, c2 ). So a nontrivial oriented quantum coalgebra structure is obtained and it is dual to Radford's results in the paper "On the tensor product of an oriented quantum algebra with itself" published in 2007. Theoretically, the results of this paper are important in constructing the invariants of oriented knots and links.展开更多
Let k be a commutative ring, C a projective k-coalgebra. The smash productsof entwining structure (A, C)_ψ are discussed. When the map ψ is a bijective, and C is a finitelygenerated k-module, a version of the Ulbric...Let k be a commutative ring, C a projective k-coalgebra. The smash productsof entwining structure (A, C)_ψ are discussed. When the map ψ is a bijective, and C is a finitelygenerated k-module, a version of the Ulbrich theorem for coalgebras C is given.展开更多
The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left...The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left weak H-module coalgebra.First,a weak generalized smash coproduct C×lH D over quantum groupoids is defined and the module and comodule structures on it are constructed.The weak generalized right smash coproduct C×rL D is similar.Then some isomorph-isms between them are obtained.Secondly,by introducing some concepts of a weak convolution invertible element,a weak co-inner coaction and a strongly relative co-inner coaction,a sufficient condition for C×rH D to be isomorphic to Cv D is obtained,where v∈WC(C,H)and the coaction of H on D is right strongly relative co-inner.Finally,the duality theorem for a generalized smash coproduct over quantum groupoids,(C×lH H)×lH H≌Cv(H×lH H),is obtained.展开更多
A novel quantum secret sharing (QSS) scheme is proposed on the basis of Chinese Remainder Theorem (CRT). In the scheme, the classical messages are mapped to secret sequences according to CRT equations, and distrib...A novel quantum secret sharing (QSS) scheme is proposed on the basis of Chinese Remainder Theorem (CRT). In the scheme, the classical messages are mapped to secret sequences according to CRT equations, and distributed to different receivers by different dimensional superdense-coding respectively. CRT's secret sharing function, together with high-dimensional superdense-eoding, provide convenience, security, and large capability quantum channel for secret distribution and recovering. Analysis shows the security of the scheme.展开更多
Competition of spatial and temporal instabilities under time delay near the codimension-two Turing-Hopfbifurcations is studied in a reaction-diffusion equation.The time delay changes remarkably the oscillation frequen...Competition of spatial and temporal instabilities under time delay near the codimension-two Turing-Hopfbifurcations is studied in a reaction-diffusion equation.The time delay changes remarkably the oscillation frequency,theintrinsic wave vector,and the intensities of both Turing and Hopf modes.The application of appropriate time delaycan control the competition between the Turing and Hopf modes.Analysis shows that individual or both feedbacks canrealize the control of the transformation between the Turing and Hopf patterns.Two-dimensional numerical simulationsvalidate the analytical results.展开更多
The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we prese...The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we presented a Trusted Platform Module (TPM)-based threshold ring signature schen. Employing a reliable secret Share Distribution Center (SDC), the proposed approach can authenticate the TPM-based identity rank of members of the ring but not track a specific member's identity. A subset including t members with the same identity rank is built. With the signing cooperation of t members of the subset, the ring signature based on Chinese remainder theorem is generated. We proved the anonymity and unforgeability of the proposed scheme and compared it with the threshold ring signature based on Lagrange interpolation polynomial. Our scheme is relatively simpler to calculate.展开更多
In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We als...In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We also obtain a result on the Zeeman's conjecture of smooth function-germs. This resultis a generalization of Siersma's lemma.展开更多
This work focuses on motion control of high-velocity autonomous underwater vehicle(AUV).Conventional methods are effective solutions to motion control of low-and-medium-velocity AUV.Usually not taken into consideratio...This work focuses on motion control of high-velocity autonomous underwater vehicle(AUV).Conventional methods are effective solutions to motion control of low-and-medium-velocity AUV.Usually not taken into consideration in the control model,the residual dead load and damping force which vary with the AUV’s velocity tend to result in difficulties in motion control or even failure in convergence in the case of high-velocity movement.With full consideration given to the influence of residual dead load and changing damping force upon AUV motion control,a novel sliding-mode controller(SMC)is proposed in this work.The stability analysis of the proposed controller is carried out on the basis of Lyapunov function.The sea trials results proved the superiority of the sliding-mode controller over sigmoid-function-based controller(SFC).The novel controller demonstrated its effectiveness by achieving admirable control results in the case of high-velocity movement.展开更多
Analyzing the aftershock sequence of the 2008 Wenchuan earthquake,we considered 26 micro-earthquakes "just underneath" seismic stations.Making use of such special station-event configurations to determine th...Analyzing the aftershock sequence of the 2008 Wenchuan earthquake,we considered 26 micro-earthquakes "just underneath" seismic stations.Making use of such special station-event configurations to determine the depth of these micro-earthquakes provided accurate relocation of aftershocks with a reference set of "ground truth(GT)events".展开更多
This paper will present a detailed analysis of the deformation mechanism and stability assessment of the slope through field investigations, numerical modeling and measurements. Field investigation indicated that thre...This paper will present a detailed analysis of the deformation mechanism and stability assessment of the slope through field investigations, numerical modeling and measurements. Field investigation indicated that three thin coal seams encountered large mined-out area at one side and free surface of hill slope at the other side, which lead to the caving of roof strata movement, ground movement and crown crack along the preferred orientations of joints. The three-dimensional numeri- cal modeling study on the case demonstrated that the plasticity failure occurred gradually along with the extension of mined-out area in depth. When the depth of mining reached the verge defined by the seismic prospecting method, a large mount of tension failure occurred on the crown of the slope. The factor of safety was 1.36 calculated by the shear strength reduction technique, which indicated the slope was in stable state. The measurement showed that the residual deformation occurred before 1998 and became stable subsequently, which indicated that the residual deformation almost finished and the slope is in stable state.展开更多
In this paper,we cancel the condition of stable subsets of [1] and have got the same result with [1],we have also got some sufficient and necessary conditions about congruence of permutation group (G,T) is '= '.
In this paper,the solution of a parallel redundant repairable system is investigated.by using the method of functional analysis.Especially,the linear semigroups of operator theory on Banach space,we prove the existenc...In this paper,the solution of a parallel redundant repairable system is investigated.by using the method of functional analysis.Especially,the linear semigroups of operator theory on Banach space,we prove the existence of the strictly dominant eigenvalue,and show the linear stability of solution.展开更多
The purpose of this study is to review and demonstrate how analytic hierarchy process (AHP) can be employed to determine earnings quality. The AHP technique can make the analysis studies more effective, easy, and ap...The purpose of this study is to review and demonstrate how analytic hierarchy process (AHP) can be employed to determine earnings quality. The AHP technique can make the analysis studies more effective, easy, and applicable to companies to calculate the relative weights of each dimension, sub-dimension, and specific sub-dimension of earnings quality. A common understanding of earnings quality is difficult to define and even more difficult to measure precisely. In addition to this, the earnings quality is influenced by factors which are often intangible and immeasurable and, as such, when assessing earnings quality, judgments will be largely subjective. Further, earnings quality is related to business concepts or practices and affected by other factors such as the nature and source of earnings. In relation to this, earnings quality would be directly influenced by the conservatism of the chosen methods. However, earnings quality relates to the persistence of earnings and to the likelihood of cash realization on reported eamings. Overall, the results presented from the paramorphic model under AHP are meant to be descriptive of the decision process of five investment analysts within three different companies. The results in this study offer valuable insights into how a small population of investment analysts actually decides the relative importance of various earnings quality dimensions.展开更多
A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band. We deal with congruences on a normal orthodox semigroup with an inverse transversal. A structure theorem for such semi...A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band. We deal with congruences on a normal orthodox semigroup with an inverse transversal. A structure theorem for such semigroup is obtained. Munn(1966) gave a fundamental inverse semigroup. Following Munn's idea, we give a fundamental normal orthodox semigroup with an inverse transversal.展开更多
基金The National Natural Science Foundation of China(No.10871042)
文摘Oriented quantum algebras (coalgebras) are generalizations of quasitriangular Hopf algebras (coquasitriangular Hopf algebras) and account for regular isotopy invariants of oriented 1-1 tangles, oriented knots and links. Let (H, or, D, U) be an oriented quantum coalgebra over the field k. Then (H×H, φ, D×D, U× U) is a trivial oriented quantum coalgebra structure on the tensor product of coalgebra H with itself, where φ (a × b, c × d) = σ-( a, c)σ (b, d). This paper presents the oriented quantum coalgebra structure ( H×H, σ, D×D, U× U) on coalgebra H× H, where σ( a × b, c× d) = σ ^-1 ( d1, a1 ) σ( a2, c1 ) σ^-1 ( d2, b1 ) σ( b2, c2 ). So a nontrivial oriented quantum coalgebra structure is obtained and it is dual to Radford's results in the paper "On the tensor product of an oriented quantum algebra with itself" published in 2007. Theoretically, the results of this paper are important in constructing the invariants of oriented knots and links.
文摘Let k be a commutative ring, C a projective k-coalgebra. The smash productsof entwining structure (A, C)_ψ are discussed. When the map ψ is a bijective, and C is a finitelygenerated k-module, a version of the Ulbrich theorem for coalgebras C is given.
基金The National Natural Science Foundation of China(No.10871042)the Natural Science Foundation of Jiangsu Province(No.BK2009258)
文摘The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left weak H-module coalgebra.First,a weak generalized smash coproduct C×lH D over quantum groupoids is defined and the module and comodule structures on it are constructed.The weak generalized right smash coproduct C×rL D is similar.Then some isomorph-isms between them are obtained.Secondly,by introducing some concepts of a weak convolution invertible element,a weak co-inner coaction and a strongly relative co-inner coaction,a sufficient condition for C×rH D to be isomorphic to Cv D is obtained,where v∈WC(C,H)and the coaction of H on D is right strongly relative co-inner.Finally,the duality theorem for a generalized smash coproduct over quantum groupoids,(C×lH H)×lH H≌Cv(H×lH H),is obtained.
基金Supported by the National Natural Science Foundation of China under Grant No.60902044Ph.D.Programs Foundation of Ministry of Education of China under Grant No.20090162120070+2 种基金Postdoctoral Science Foundation of China under Grant No.200801341State Key Laboratory of Advanced Optical Communication Systems and Networks under Grant No.2008SH01in part by the Second stage of Brain Korea 21 programs,Chonbuk National University,Korea
文摘A novel quantum secret sharing (QSS) scheme is proposed on the basis of Chinese Remainder Theorem (CRT). In the scheme, the classical messages are mapped to secret sequences according to CRT equations, and distributed to different receivers by different dimensional superdense-coding respectively. CRT's secret sharing function, together with high-dimensional superdense-eoding, provide convenience, security, and large capability quantum channel for secret distribution and recovering. Analysis shows the security of the scheme.
基金Supported by the Fundamental Research Funds for the Central Universities under Grant No. 09ML56the Foundation for Young Teachers of the North China Electric Power University, China under Grant No. 200611029
文摘Competition of spatial and temporal instabilities under time delay near the codimension-two Turing-Hopfbifurcations is studied in a reaction-diffusion equation.The time delay changes remarkably the oscillation frequency,theintrinsic wave vector,and the intensities of both Turing and Hopf modes.The application of appropriate time delaycan control the competition between the Turing and Hopf modes.Analysis shows that individual or both feedbacks canrealize the control of the transformation between the Turing and Hopf patterns.Two-dimensional numerical simulationsvalidate the analytical results.
基金Acknowledgements This work was supported by the National Basic Research Program of China under Crant No. 2007CB311100, Core Electronic Devices, High-end General Purpose Chips and Basic Software Products in China under Oant No. 2010ZX01037-001-001 Ph.D. Start-up Fund of Beijing University of Technology under Grants No. X0007211201101 and No. X00700054R1764, National Soft Science Research Program under Crant No. 2010GXQ5D317 and the National Natural Science Foundation of China underGrant No. 91018008 ,Opening Project of Key Lab of Information Network Security, Ministry of Public Security under Crant No. C11610, Opening Project of State Key Laboratory of Information Security (Institute of Sottware, Chinese Academy of Sciences) under Cxant No. 04-04-1.
文摘The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we presented a Trusted Platform Module (TPM)-based threshold ring signature schen. Employing a reliable secret Share Distribution Center (SDC), the proposed approach can authenticate the TPM-based identity rank of members of the ring but not track a specific member's identity. A subset including t members with the same identity rank is built. With the signing cooperation of t members of the subset, the ring signature based on Chinese remainder theorem is generated. We proved the anonymity and unforgeability of the proposed scheme and compared it with the threshold ring signature based on Lagrange interpolation polynomial. Our scheme is relatively simpler to calculate.
文摘In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We also obtain a result on the Zeeman's conjecture of smooth function-germs. This resultis a generalization of Siersma's lemma.
基金Project(2011AA09A106)supported by the Hi-tech Research and Development Program of ChinaProjects(51179035,51779057)supported by the National Natural Science Foundation of ChinaProject(2015ZX01041101)supported by Major National Science and Technology of China
文摘This work focuses on motion control of high-velocity autonomous underwater vehicle(AUV).Conventional methods are effective solutions to motion control of low-and-medium-velocity AUV.Usually not taken into consideration in the control model,the residual dead load and damping force which vary with the AUV’s velocity tend to result in difficulties in motion control or even failure in convergence in the case of high-velocity movement.With full consideration given to the influence of residual dead load and changing damping force upon AUV motion control,a novel sliding-mode controller(SMC)is proposed in this work.The stability analysis of the proposed controller is carried out on the basis of Lyapunov function.The sea trials results proved the superiority of the sliding-mode controller over sigmoid-function-based controller(SFC).The novel controller demonstrated its effectiveness by achieving admirable control results in the case of high-velocity movement.
文摘Analyzing the aftershock sequence of the 2008 Wenchuan earthquake,we considered 26 micro-earthquakes "just underneath" seismic stations.Making use of such special station-event configurations to determine the depth of these micro-earthquakes provided accurate relocation of aftershocks with a reference set of "ground truth(GT)events".
基金Supported by the National Natural Science Foundation of China for Youth (51004065) the National Basic Research Program of China (2012CB724208)
文摘This paper will present a detailed analysis of the deformation mechanism and stability assessment of the slope through field investigations, numerical modeling and measurements. Field investigation indicated that three thin coal seams encountered large mined-out area at one side and free surface of hill slope at the other side, which lead to the caving of roof strata movement, ground movement and crown crack along the preferred orientations of joints. The three-dimensional numeri- cal modeling study on the case demonstrated that the plasticity failure occurred gradually along with the extension of mined-out area in depth. When the depth of mining reached the verge defined by the seismic prospecting method, a large mount of tension failure occurred on the crown of the slope. The factor of safety was 1.36 calculated by the shear strength reduction technique, which indicated the slope was in stable state. The measurement showed that the residual deformation occurred before 1998 and became stable subsequently, which indicated that the residual deformation almost finished and the slope is in stable state.
文摘In this paper,we cancel the condition of stable subsets of [1] and have got the same result with [1],we have also got some sufficient and necessary conditions about congruence of permutation group (G,T) is '= '.
基金Supported by the Nature Science Foundation of Henan Education Committee(2008A110022)
文摘In this paper,the solution of a parallel redundant repairable system is investigated.by using the method of functional analysis.Especially,the linear semigroups of operator theory on Banach space,we prove the existence of the strictly dominant eigenvalue,and show the linear stability of solution.
文摘The purpose of this study is to review and demonstrate how analytic hierarchy process (AHP) can be employed to determine earnings quality. The AHP technique can make the analysis studies more effective, easy, and applicable to companies to calculate the relative weights of each dimension, sub-dimension, and specific sub-dimension of earnings quality. A common understanding of earnings quality is difficult to define and even more difficult to measure precisely. In addition to this, the earnings quality is influenced by factors which are often intangible and immeasurable and, as such, when assessing earnings quality, judgments will be largely subjective. Further, earnings quality is related to business concepts or practices and affected by other factors such as the nature and source of earnings. In relation to this, earnings quality would be directly influenced by the conservatism of the chosen methods. However, earnings quality relates to the persistence of earnings and to the likelihood of cash realization on reported eamings. Overall, the results presented from the paramorphic model under AHP are meant to be descriptive of the decision process of five investment analysts within three different companies. The results in this study offer valuable insights into how a small population of investment analysts actually decides the relative importance of various earnings quality dimensions.
文摘A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band. We deal with congruences on a normal orthodox semigroup with an inverse transversal. A structure theorem for such semigroup is obtained. Munn(1966) gave a fundamental inverse semigroup. Following Munn's idea, we give a fundamental normal orthodox semigroup with an inverse transversal.