Over the past five years,China's financialreformhasmade positive progress,laying a solid foundation for building a strong financial country inthefuture.At theendof October 2023,the China Central Financial Work Con...Over the past five years,China's financialreformhasmade positive progress,laying a solid foundation for building a strong financial country inthefuture.At theendof October 2023,the China Central Financial Work Conference pointed out the direction and focus of China's financial developmentfor the next stage.展开更多
Kerner pointed that the sequence (x1m,x2m,…xnm)converges to （r1,r2,…rn）（m→∞）if the initial approximation (x10, x20, …, xn（0）) is close to （r1, r2,…rn） sufficiently. The convergence of(x1m, x2m,…, xnm) p...Kerner pointed that the sequence (x1m,x2m,…xnm)converges to （r1,r2,…rn）（m→∞）if the initial approximation (x10, x20, …, xn（0）) is close to （r1, r2,…rn） sufficiently. The convergence of(x1m, x2m,…, xnm) produced by （2） from (x10,x20,…,xn（0）) usually cannot be testified because （r1, r2,…,rn） is unknown. The purpose of this paper is to give sufficient conditions for testifying the convergence.展开更多
The Hard X-ray Modulation Telescope （HXMT） is an X-ray astronomy satellite consisting of three slat-collimated instruments, the High Energy X-ray Instrument （HE）, the Medium Energy X-ray Instrument （ME）, and the...The Hard X-ray Modulation Telescope （HXMT） is an X-ray astronomy satellite consisting of three slat-collimated instruments, the High Energy X-ray Instrument （HE）, the Medium Energy X-ray Instrument （ME）, and the Low Energy X-ray Instrument （LE）. HXMT will carry out an all sky survey and make pointed observations in the 1-250 keV energy band. In order to get the source and background fluxes simultaneously in the pointed observations, two methods, i.e., the combined field of view （FOV） method and the off-axis pointing method are proposed in this paper. Comprehensive analyses of the sensitivities of the three instruments by using these two methods are presented, respectively. It is found that the off-axis pointing method has a higher sensitivity for HE and ME but a lower sensitivity for LE. Since the axes of the three instruments are aligned along the same direction, the off-axis pointing method is recommended as the main method in the pointed observation for HXMT; the combined FOV method can be used when LE is the most relevant instrument in order to satisfy the scientific objective of the observation.展开更多
In this paper we study the pointed representations of the Virasoro algebra.We show that unitary irreducible pointed representations of the Virasoro algebra are Harish-Chandra repre- sentations,thus they either are of ...In this paper we study the pointed representations of the Virasoro algebra.We show that unitary irreducible pointed representations of the Virasoro algebra are Harish-Chandra repre- sentations,thus they either are of highest or lowest weights or have all weight spaces of dimension 1.Further,we prove that unitary irreducible weight representations of Virasoro superalgebras are either of highest weights or of lowest weights,hence they are also Harish-Chandra representations.展开更多
In this paper,based on previous results,the Riemann-Hilbert boundary valueproblems with general forms for overdetermined elliptic equations of first order are consi-dered.The characteristic of modified function space ...In this paper,based on previous results,the Riemann-Hilbert boundary valueproblems with general forms for overdetermined elliptic equations of first order are consi-dered.The characteristic of modified function space is given.It is proved that there existsa unique solution for modified problem of the problem which we discuss.By the way,itis pointed out that there are great differences between overdetermined elliptic systems andfirst order elliptei systems in the plane.展开更多
We obtain a necessary condition for a strictly weakly integral generalized Tambara-Yamagami fusion category to be braided.Then we use this result to classify braided extensions of a pointed fusion category with prime ...We obtain a necessary condition for a strictly weakly integral generalized Tambara-Yamagami fusion category to be braided.Then we use this result to classify braided extensions of a pointed fusion category with prime dimension.展开更多
The local control of pointed groups is generalized to the concept of relative local control,and it is proved that there exists a lifting for a covering of a block source algebra if the relative local control holds.As ...The local control of pointed groups is generalized to the concept of relative local control,and it is proved that there exists a lifting for a covering of a block source algebra if the relative local control holds.As an application,a result is proved on the source algebras of blocks,whose defect groups are direct products of a normal subgroup and a subgroup that gives a relative local control.展开更多
Let （K, O, k） be a p-modular system and G be a finite group. We prove that block A of RG and block B of RH are nalurally Morita equivalent of degree n if and only if A≌B＋…＋B}→n^2 as right R[H×H]-modules an...Let （K, O, k） be a p-modular system and G be a finite group. We prove that block A of RG and block B of RH are nalurally Morita equivalent of degree n if and only if A≌B＋…＋B}→n^2 as right R[H×H]-modules and A and B have the same defect（where R∈{k,O}）, which is a generalization of the result of Külshammer Burkhard in a p-modular system for an arbitrary subgroup H of G. It is proved that naturally Morita equivalent blocks are equivalent blocks and Morita equivalent via a bimodule with trivial source.展开更多
In this paper, we study non-cosemisimple Hopf algebras through their underlying coalgebra structure. We introduce the concept of the maximal pointed subcoalgebra/Hopf sub- algebra. For a non-cosemisimple Hopf algebra ...In this paper, we study non-cosemisimple Hopf algebras through their underlying coalgebra structure. We introduce the concept of the maximal pointed subcoalgebra/Hopf sub- algebra. For a non-cosemisimple Hopf algebra A with the Chevalley property, if its diagram is a Nichols algebra, then the diagram of its maximal pointed Hopf subalgebra is also a Nichols algebra. When A is of finite dimension, we provide a necessary and sufficient condition for A＇s diagram equaling the diagram of its maximal pointed Hopf subalgebra.展开更多
Let T(G) be the Teichmüller space of a Fuchsian group G and T(G) be the pointed Teichmüller space of a corresponding pointed Fuchsian group G.We will discuss the existence of holomorphic sections of the proj...Let T(G) be the Teichmüller space of a Fuchsian group G and T(G) be the pointed Teichmüller space of a corresponding pointed Fuchsian group G.We will discuss the existence of holomorphic sections of the projection from the space M(G) of Beltrami coefficients for G to T(G) and of that from T(G) to T(G) as well.We will also study the biholomorphic isomorphisms between two pointed Teichmüller spaces.展开更多
There is an amazing healing power in the novel The Country of the Pointed Firs embodied in nature and the local people. Reading this novel, everyone can be the narrator who has experienced a journey of healing in Dunn...There is an amazing healing power in the novel The Country of the Pointed Firs embodied in nature and the local people. Reading this novel, everyone can be the narrator who has experienced a journey of healing in Dunnet Landing during her interactions with the coastal natural sceneries and the lovely local residents in that in those small islands.展开更多
Computations and Experiments were performed to get an understanding of the flow field around a rectangular supersonic air intake with pointed cowl [90°] at different back pressures for Mach 2.2. The effect of Cow...Computations and Experiments were performed to get an understanding of the flow field around a rectangular supersonic air intake with pointed cowl [90°] at different back pressures for Mach 2.2. The effect of Cowl shape on the ramp surface pressure distribution is discussed and compared with existing V-Notch [90°] intake model at free exit condition. It was found that using pointed cowl [90°] intake model, a better pressure recovery was achieved compared to the V-Notch [90°] intake model at Mach 2.2. Both Pointed and V-Notch intake models showed good starting characteristics. For change in back pressure, the occurence of normal shock, flow separation zone and flow reversal were observed. All experiments are performed only for the Pointed cowl [90°] intake model. All the 3-D computations were performed by using software available at B.I.T, Mesra, Ranchi.展开更多
Netizen Comments:The blackmagic oftypical Chinese parents when you share happiness with them,your happiness will disappear;when you share your troubles with them,your troubles double".Chinese parents crave absolu...Netizen Comments:The blackmagic oftypical Chinese parents when you share happiness with them,your happiness will disappear;when you share your troubles with them,your troubles double".Chinese parents crave absolute authority.Their parenting philosophy is that encouragement foments rebellion while oppression guarantees obedience"展开更多
In this paper, we study the following nonlinear biological modeldx(t)/dt = x(t)[a(t)-b(t)x α (t)] + f(t, xt),by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost period...In this paper, we study the following nonlinear biological modeldx(t)/dt = x(t)[a(t)-b(t)x α (t)] + f(t, xt),by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost periodic solution for the above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the positive almost periodic solution are derived.展开更多
In the process of extraction of aluminum oxide from alunite by means of acid treatment, the effect of the ionization comstant of water upon hydrolytic reaction is involved. The Soviet scientist gave the fallowing form...In the process of extraction of aluminum oxide from alunite by means of acid treatment, the effect of the ionization comstant of water upon hydrolytic reaction is involved. The Soviet scientist gave the fallowing formula in his study of the cquation of展开更多
Running跑步“Running is one of the best calorie burners out there,” certified personal trainer Daniel Saltos says. An average person can burn anywhere from 500 to 1000 calories in one hour of running. “Speed, pace, ...Running跑步“Running is one of the best calorie burners out there,” certified personal trainer Daniel Saltos says. An average person can burn anywhere from 500 to 1000 calories in one hour of running. “Speed, pace, and endurance are all factors that can influence calorie burning. But running uses every muscle group in the body, allowing you to burn more calories,” he pointed out.展开更多
In the 'Physical Geography of China (Surface Water)' (1981) the authors reported that the physical denudation rate for the Taiwan Island is not high, being about 10—20 mg/cm^2 yr for the Central Range. But Li...In the 'Physical Geography of China (Surface Water)' (1981) the authors reported that the physical denudation rate for the Taiwan Island is not high, being about 10—20 mg/cm^2 yr for the Central Range. But Li Yuanhui pointed out that the denu-展开更多
文摘Over the past five years,China's financialreformhasmade positive progress,laying a solid foundation for building a strong financial country inthefuture.At theendof October 2023,the China Central Financial Work Conference pointed out the direction and focus of China's financial developmentfor the next stage.
文摘Kerner pointed that the sequence (x1m,x2m,…xnm)converges to （r1,r2,…rn）（m→∞）if the initial approximation (x10, x20, …, xn（0）) is close to （r1, r2,…rn） sufficiently. The convergence of(x1m, x2m,…, xnm) produced by （2） from (x10,x20,…,xn（0）) usually cannot be testified because （r1, r2,…,rn） is unknown. The purpose of this paper is to give sufficient conditions for testifying the convergence.
基金Supported by National Basic Research Program of China (973 Program 2009CB824800)
文摘The Hard X-ray Modulation Telescope （HXMT） is an X-ray astronomy satellite consisting of three slat-collimated instruments, the High Energy X-ray Instrument （HE）, the Medium Energy X-ray Instrument （ME）, and the Low Energy X-ray Instrument （LE）. HXMT will carry out an all sky survey and make pointed observations in the 1-250 keV energy band. In order to get the source and background fluxes simultaneously in the pointed observations, two methods, i.e., the combined field of view （FOV） method and the off-axis pointing method are proposed in this paper. Comprehensive analyses of the sensitivities of the three instruments by using these two methods are presented, respectively. It is found that the off-axis pointing method has a higher sensitivity for HE and ME but a lower sensitivity for LE. Since the axes of the three instruments are aligned along the same direction, the off-axis pointing method is recommended as the main method in the pointed observation for HXMT; the combined FOV method can be used when LE is the most relevant instrument in order to satisfy the scientific objective of the observation.
文摘In this paper we study the pointed representations of the Virasoro algebra.We show that unitary irreducible pointed representations of the Virasoro algebra are Harish-Chandra repre- sentations,thus they either are of highest or lowest weights or have all weight spaces of dimension 1.Further,we prove that unitary irreducible weight representations of Virasoro superalgebras are either of highest weights or of lowest weights,hence they are also Harish-Chandra representations.
基金Supported by NSF and supported in part by Science and Technology Development Foundation of Shanghai.
文摘In this paper,based on previous results,the Riemann-Hilbert boundary valueproblems with general forms for overdetermined elliptic equations of first order are consi-dered.The characteristic of modified function space is given.It is proved that there existsa unique solution for modified problem of the problem which we discuss.By the way,itis pointed out that there are great differences between overdetermined elliptic systems andfirst order elliptei systems in the plane.
基金supported by the Startup Foundation for Introducing Talent of NUIST(Grant No.2018R039)the Natural Science Foundation of China(Grant No.11201231).
文摘We obtain a necessary condition for a strictly weakly integral generalized Tambara-Yamagami fusion category to be braided.Then we use this result to classify braided extensions of a pointed fusion category with prime dimension.
基金Project supported by the National Natural Science Foundation of China.
文摘The local control of pointed groups is generalized to the concept of relative local control,and it is proved that there exists a lifting for a covering of a block source algebra if the relative local control holds.As an application,a result is proved on the source algebras of blocks,whose defect groups are direct products of a normal subgroup and a subgroup that gives a relative local control.
基金Supported by the National Programfor the BasicScience Researches of China(G19990751)
文摘Let （K, O, k） be a p-modular system and G be a finite group. We prove that block A of RG and block B of RH are nalurally Morita equivalent of degree n if and only if A≌B＋…＋B}→n^2 as right R[H×H]-modules and A and B have the same defect（where R∈{k,O}）, which is a generalization of the result of Külshammer Burkhard in a p-modular system for an arbitrary subgroup H of G. It is proved that naturally Morita equivalent blocks are equivalent blocks and Morita equivalent via a bimodule with trivial source.
基金Supported by the National Natural Science Foundation of China(11271319,11301126)
文摘In this paper, we study non-cosemisimple Hopf algebras through their underlying coalgebra structure. We introduce the concept of the maximal pointed subcoalgebra/Hopf sub- algebra. For a non-cosemisimple Hopf algebra A with the Chevalley property, if its diagram is a Nichols algebra, then the diagram of its maximal pointed Hopf subalgebra is also a Nichols algebra. When A is of finite dimension, we provide a necessary and sufficient condition for A＇s diagram equaling the diagram of its maximal pointed Hopf subalgebra.
基金supported by the Program for New Century Excellent Talents in University(Grant No.06-0504)National Natural Science Foundation of China (Grant No.10771153)
文摘Let T(G) be the Teichmüller space of a Fuchsian group G and T(G) be the pointed Teichmüller space of a corresponding pointed Fuchsian group G.We will discuss the existence of holomorphic sections of the projection from the space M(G) of Beltrami coefficients for G to T(G) and of that from T(G) to T(G) as well.We will also study the biholomorphic isomorphisms between two pointed Teichmüller spaces.
文摘There is an amazing healing power in the novel The Country of the Pointed Firs embodied in nature and the local people. Reading this novel, everyone can be the narrator who has experienced a journey of healing in Dunnet Landing during her interactions with the coastal natural sceneries and the lovely local residents in that in those small islands.
文摘Computations and Experiments were performed to get an understanding of the flow field around a rectangular supersonic air intake with pointed cowl [90°] at different back pressures for Mach 2.2. The effect of Cowl shape on the ramp surface pressure distribution is discussed and compared with existing V-Notch [90°] intake model at free exit condition. It was found that using pointed cowl [90°] intake model, a better pressure recovery was achieved compared to the V-Notch [90°] intake model at Mach 2.2. Both Pointed and V-Notch intake models showed good starting characteristics. For change in back pressure, the occurence of normal shock, flow separation zone and flow reversal were observed. All experiments are performed only for the Pointed cowl [90°] intake model. All the 3-D computations were performed by using software available at B.I.T, Mesra, Ranchi.
文摘Netizen Comments:The blackmagic oftypical Chinese parents when you share happiness with them,your happiness will disappear;when you share your troubles with them,your troubles double".Chinese parents crave absolute authority.Their parenting philosophy is that encouragement foments rebellion while oppression guarantees obedience"
基金Supported by the NNSF of China(11171135)Supported by the Jiangsu Province Innovation Project of Graduate Education(1221190037)
文摘In this paper, we study the following nonlinear biological modeldx(t)/dt = x(t)[a(t)-b(t)x α (t)] + f(t, xt),by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost periodic solution for the above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the positive almost periodic solution are derived.
文摘In the process of extraction of aluminum oxide from alunite by means of acid treatment, the effect of the ionization comstant of water upon hydrolytic reaction is involved. The Soviet scientist gave the fallowing formula in his study of the cquation of
文摘Running跑步“Running is one of the best calorie burners out there,” certified personal trainer Daniel Saltos says. An average person can burn anywhere from 500 to 1000 calories in one hour of running. “Speed, pace, and endurance are all factors that can influence calorie burning. But running uses every muscle group in the body, allowing you to burn more calories,” he pointed out.
文摘In the 'Physical Geography of China (Surface Water)' (1981) the authors reported that the physical denudation rate for the Taiwan Island is not high, being about 10—20 mg/cm^2 yr for the Central Range. But Li Yuanhui pointed out that the denu-
