Abstract： At first one of g-inverses of A （×） In＋Im（×） BT is given out, then the explicit solution to matrix equation AX ＋ XB = C is gained by using the method of matrix decomposition, finally, a nume...Abstract： At first one of g-inverses of A （×） In＋Im（×） BT is given out, then the explicit solution to matrix equation AX ＋ XB = C is gained by using the method of matrix decomposition, finally, a numerical example is obtained.展开更多
Two non-isospectral KdV equations with self-consistent sources are derived. Gauge transformation between the first non-isospectral KdV equation with self-consistent sources （corresponding to λt = -2aA） and its isos...Two non-isospectral KdV equations with self-consistent sources are derived. Gauge transformation between the first non-isospectral KdV equation with self-consistent sources （corresponding to λt = -2aA） and its isospectral counterpart is given, from which exact solutions for the first non-isospectral KdV equation with self-consistent sources is easily listed. Besides, the soliton solutions for the two equations are obtained by means of Hirota＇s method and Wronskian technique, respectively. Meanwhile, the dynamical properties for these solutions are investigated.展开更多
In this paper, based on the generalized Jacobi elliptic function expansion method, we obtain abundant new explicit and exact solutions of the Klein-Gordon- Zakharov equations, which degenerate to solitary wave solutio...In this paper, based on the generalized Jacobi elliptic function expansion method, we obtain abundant new explicit and exact solutions of the Klein-Gordon- Zakharov equations, which degenerate to solitary wave solutions and triangle function solutions in the limit cases, showing that this new method is more powerful to seek exact solutions of nonlinear partial differential equations in mathematical physics.展开更多
In this paper, a new generalized Jacobi elliptic function expansion method based upon four new Jacobi elliptic functions is described and abundant solutions of new Jacobi elliptic functions for the generalized Nizhnik...In this paper, a new generalized Jacobi elliptic function expansion method based upon four new Jacobi elliptic functions is described and abundant solutions of new Jacobi elliptic functions for the generalized Nizhnik-Novikov-Veselov equations are obtained. It is shown that the new method is much more powerful in finding new exact solutions to various kinds of nonlinear evolution equations in mathematical physics.展开更多
Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a ...Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a weak C-cover is a weak C-cover. Then the notion of almost C-preenvelopes is introduced and studied.展开更多
In the framework of the relativistic mean field theory,it is found that recently discovered PSR J1614-2230 with mass of 1.97±0.04Mʘmay include hyperons when the weakly interacting light boson(WILB)is considered.T...In the framework of the relativistic mean field theory,it is found that recently discovered PSR J1614-2230 with mass of 1.97±0.04Mʘmay include hyperons when the weakly interacting light boson(WILB)is considered.To describe PSR J1614−2230 with the equation of state(EOS)including hyperons,the characteristic scale of the WILB(g^(2)/μ^(2))should lie in the range of 13–46(24–46)GeV^(−2) with the weak(strong)hyperon-hyperon(YY)interaction.The measurements of inertial momentum and the total neutrino luminosity of the neutron star could be used to further constrain the characteristic scale of the WILB.Before more stringent constraint on the WILB is given,the mass measurement of the neutron star could not exclude any soft EOS.展开更多
In this paper, we introduce the concept of almost cotorsion modules. A module is called almost cotorsion if it is subisomorphic to its cotorsion envelope. Some characterizations of almost cotorsion modules are given. ...In this paper, we introduce the concept of almost cotorsion modules. A module is called almost cotorsion if it is subisomorphic to its cotorsion envelope. Some characterizations of almost cotorsion modules are given. It is also proved that every module is a direct summand of an almost cotorsion module. As an application, perfect rings are characterized in terms of almost cotorsion modules.展开更多
We prove some 3-adic congruences for binomial sums,which were conjectured by Zhi-Wei Sun.For example,for any integer m≡1（mod 3）and any positive integer n,we have v3（1/n ∑n-1X k=0 1/mk 2k/ k〉））≥min{3（n）,3（...We prove some 3-adic congruences for binomial sums,which were conjectured by Zhi-Wei Sun.For example,for any integer m≡1（mod 3）and any positive integer n,we have v3（1/n ∑n-1X k=0 1/mk 2k/ k〉））≥min{3（n）,3（m-1）-1},where 3（n）denotes the 3-adic order of n.In our proofs,we use several auxiliary combinatorial identities and a series converging to 0 over the 3-adic field.展开更多
Textile industry is very important to the development of Chinese industry and econ-omy.Image processing techniques are beneficial to improve the quality of cotton goods.Suitable blending ratio of yarn is good for it.I...Textile industry is very important to the development of Chinese industry and econ-omy.Image processing techniques are beneficial to improve the quality of cotton goods.Suitable blending ratio of yarn is good for it.It is significant to measure the blending ratio of yarn in the practice of textile engineering.Combined with results done by other scholars,this paper uses the concepts of acreage index,abnormity index and fluctuation index.Based on these morphologic indices,it is convenient to construct corresponding eigenvector and to discuss useful mathematical method for the cluster analysis during the measurement of the blending ratio.This paper also sets up some kinds of nonlin-ear optimization model for the problem.Using classical integer programming algorithm,support vector machine algorithm and genetic algorithm to the problem,we get fine results for cluster analysis.Finally,we give out another problem of image processing and have some discussions about it.展开更多
文摘Abstract： At first one of g-inverses of A （×） In＋Im（×） BT is given out, then the explicit solution to matrix equation AX ＋ XB = C is gained by using the method of matrix decomposition, finally, a numerical example is obtained.
基金supported by the National Natural Science Foundation of China under Grant Nos. 10371070 and 10671121the Foundation for Excellent Postgraduates of Shanghai University under Grant No. Shucx080127
文摘Two non-isospectral KdV equations with self-consistent sources are derived. Gauge transformation between the first non-isospectral KdV equation with self-consistent sources （corresponding to λt = -2aA） and its isospectral counterpart is given, from which exact solutions for the first non-isospectral KdV equation with self-consistent sources is easily listed. Besides, the soliton solutions for the two equations are obtained by means of Hirota＇s method and Wronskian technique, respectively. Meanwhile, the dynamical properties for these solutions are investigated.
基金The Scientific Research Foundation (KXJ08047) of NanJing Institute of Technology
文摘In this paper, based on the generalized Jacobi elliptic function expansion method, we obtain abundant new explicit and exact solutions of the Klein-Gordon- Zakharov equations, which degenerate to solitary wave solutions and triangle function solutions in the limit cases, showing that this new method is more powerful to seek exact solutions of nonlinear partial differential equations in mathematical physics.
基金The Scientific Research Foundation (QKJA2010011) of Nanjing Institute of Technology
文摘In this paper, a new generalized Jacobi elliptic function expansion method based upon four new Jacobi elliptic functions is described and abundant solutions of new Jacobi elliptic functions for the generalized Nizhnik-Novikov-Veselov equations are obtained. It is shown that the new method is much more powerful in finding new exact solutions to various kinds of nonlinear evolution equations in mathematical physics.
基金This research was partially supported by the Specialized Research Fund for the Doctoral Program of Higher ducation of China (20020284009, 20030284033) NSF of China (10331030) Jiangsu Planned Projects for Postdoctoral Research Funds (0203003403)the Postdoctoral Research Funds of China (2006037713)and the Nanjing Institute of Technology of China.
文摘Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a weak C-cover is a weak C-cover. Then the notion of almost C-preenvelopes is introduced and studied.
文摘In the framework of the relativistic mean field theory,it is found that recently discovered PSR J1614-2230 with mass of 1.97±0.04Mʘmay include hyperons when the weakly interacting light boson(WILB)is considered.To describe PSR J1614−2230 with the equation of state(EOS)including hyperons,the characteristic scale of the WILB(g^(2)/μ^(2))should lie in the range of 13–46(24–46)GeV^(−2) with the weak(strong)hyperon-hyperon(YY)interaction.The measurements of inertial momentum and the total neutrino luminosity of the neutron star could be used to further constrain the characteristic scale of the WILB.Before more stringent constraint on the WILB is given,the mass measurement of the neutron star could not exclude any soft EOS.
基金Specialized Research Fund (20050284015, 20030284033) for the Doctoral Program of Higher Education of China the Postdoctoral Research Fund (2005037713) of China Jiangsu Planned Projects for Postdoctoral Research Fund (0203003403) the Research Fund of Nanjing Institute of Technology of China
文摘In this paper, we introduce the concept of almost cotorsion modules. A module is called almost cotorsion if it is subisomorphic to its cotorsion envelope. Some characterizations of almost cotorsion modules are given. It is also proved that every module is a direct summand of an almost cotorsion module. As an application, perfect rings are characterized in terms of almost cotorsion modules.
基金supported by National Natural Science Foundation of China (Grant Nos. 11271185,11171140 and 11226277)the Initial Founding of Scientific Research for the Introduction of Talents of Nanjing Institute of Technology,China (Grant No. YKJ201115)
文摘We prove some 3-adic congruences for binomial sums,which were conjectured by Zhi-Wei Sun.For example,for any integer m≡1（mod 3）and any positive integer n,we have v3（1/n ∑n-1X k=0 1/mk 2k/ k〉））≥min{3（n）,3（m-1）-1},where 3（n）denotes the 3-adic order of n.In our proofs,we use several auxiliary combinatorial identities and a series converging to 0 over the 3-adic field.
文摘Textile industry is very important to the development of Chinese industry and econ-omy.Image processing techniques are beneficial to improve the quality of cotton goods.Suitable blending ratio of yarn is good for it.It is significant to measure the blending ratio of yarn in the practice of textile engineering.Combined with results done by other scholars,this paper uses the concepts of acreage index,abnormity index and fluctuation index.Based on these morphologic indices,it is convenient to construct corresponding eigenvector and to discuss useful mathematical method for the cluster analysis during the measurement of the blending ratio.This paper also sets up some kinds of nonlin-ear optimization model for the problem.Using classical integer programming algorithm,support vector machine algorithm and genetic algorithm to the problem,we get fine results for cluster analysis.Finally,we give out another problem of image processing and have some discussions about it.
