ZTE’s integrated solutions for CDMA network coverage and value-added services are presented.Different schemes for specific appli-cation requirements are described in detail.The integrated serviceplatforms concerning ...ZTE’s integrated solutions for CDMA network coverage and value-added services are presented.Different schemes for specific appli-cation requirements are described in detail.The integrated serviceplatforms concerning positioning service,multimedia Email,mobileoffice,etc.are overviewed.展开更多
ZTE Corporation announced its participation in the Global MSF Interoperability (GMI) 2008 event held by the MultiService Forum (MSF) to advance the development
We consider the global existence and decay of integral solutions to the parabolic-parabolic Keller-Segel system in d-dimension.On the one hand,by Banach fixed point theorem and some properties of heat kernel,we prove ...We consider the global existence and decay of integral solutions to the parabolic-parabolic Keller-Segel system in d-dimension.On the one hand,by Banach fixed point theorem and some properties of heat kernel,we prove the local existence and the global existence of integral solutions for the different initial data under some conditions that involve the size of the initial data.On the other hand,in the case of global solutions,we obtain their optimal time decay by Gronwall’s lemma.展开更多
It has been argued that Chebyshev polynomials are ideal to use as approximating functions to obtain solutions of integral equations and convolution integrals on account of their fast convergence. Using the standard de...It has been argued that Chebyshev polynomials are ideal to use as approximating functions to obtain solutions of integral equations and convolution integrals on account of their fast convergence. Using the standard deviation as a measure of the accuracy of the approximation and the CPU time as a measure of the speed, we find that for reasonable accuracy Legendre polynomials are more efficient. ’展开更多
In this note, we investigated existence and uniqueness of entropy solution for triply nonlinear degenerate parabolic problem with zero-flux boundary condition. Accordingly to the case of doubly nonlinear degenerate pa...In this note, we investigated existence and uniqueness of entropy solution for triply nonlinear degenerate parabolic problem with zero-flux boundary condition. Accordingly to the case of doubly nonlinear degenerate parabolic hyperbolic equation, we propose a generalization of entropy formulation and prove existence and uniqueness result without any structure condition.展开更多
The application of wavelets is explored to solve acoustic radiation and scattering problems. A new wavelet approach is presented for solving two-dimensional and axisymmetric acoustic problems. It is different from the...The application of wavelets is explored to solve acoustic radiation and scattering problems. A new wavelet approach is presented for solving two-dimensional and axisymmetric acoustic problems. It is different from the previous methods in which Galerkin formulation or wavelet matrix transform approach is used. The boundary quantities are expended in terms of a basis of the periodic, orthogonal wavelets on the interval. Using wavelet transform leads a highly sparse matrix system. It can avoid an additional integration in Galerkin formulation, which may be very computationally expensive. The techniques of the singular integrals in two-dimensional and axisymmetric wavelet formulation are proposed. The new method can solve the boundary value problems with Dirichlet, Neumann and mixed conditions and treat axisymmetric bodies with arbitrary boundary conditions. It can be suitable for the solution at large wave numbers. A series of numerical examples are given. The comparisons of the results from new approach with those from boundary element method and analytical solutions demonstrate that the new techique has a fast convergence and high accuracy.展开更多
Hilbert’s Tenth Problem(HTP)asks for an algorithm to test whether an arbitrary polynomial Diophantine equation with integer coefficients has solutions over the ring Z of integers.This was finally solved negatively by...Hilbert’s Tenth Problem(HTP)asks for an algorithm to test whether an arbitrary polynomial Diophantine equation with integer coefficients has solutions over the ring Z of integers.This was finally solved negatively by Matiyasevich in 1970.In this paper we obtain some further results on HTP over Z.We prove that there is no algorithm to determine for any P(z1,...,z9)∈Z[z1,...,z9]whether the equation P(z1,...,z9)=0 has integral solutions with z9≥0.Consequently,there is no algorithm to test whether an arbitrary polynomial Diophantine equation P(z1,...,z11)=0(with integer coefficients)in 11 unknowns has integral solutions,which provides the best record on the original HTP over Z.We also prove that there is no algorithm to test for any P(z1,...,z17)∈Z[z1,...,z17]whether P(z12,...,z172)=0 has integral solutions,and that there is a polynomial Q(z1,...,z20)∈Z[z1,...,z20]such that{Q(z12,...,z202):z1,...,z20∈Z}∩{0,1,2,...}coincides with the set of all primes.展开更多
文摘ZTE’s integrated solutions for CDMA network coverage and value-added services are presented.Different schemes for specific appli-cation requirements are described in detail.The integrated serviceplatforms concerning positioning service,multimedia Email,mobileoffice,etc.are overviewed.
文摘ZTE Corporation announced its participation in the Global MSF Interoperability (GMI) 2008 event held by the MultiService Forum (MSF) to advance the development
文摘We consider the global existence and decay of integral solutions to the parabolic-parabolic Keller-Segel system in d-dimension.On the one hand,by Banach fixed point theorem and some properties of heat kernel,we prove the local existence and the global existence of integral solutions for the different initial data under some conditions that involve the size of the initial data.On the other hand,in the case of global solutions,we obtain their optimal time decay by Gronwall’s lemma.
文摘It has been argued that Chebyshev polynomials are ideal to use as approximating functions to obtain solutions of integral equations and convolution integrals on account of their fast convergence. Using the standard deviation as a measure of the accuracy of the approximation and the CPU time as a measure of the speed, we find that for reasonable accuracy Legendre polynomials are more efficient. ’
文摘In this note, we investigated existence and uniqueness of entropy solution for triply nonlinear degenerate parabolic problem with zero-flux boundary condition. Accordingly to the case of doubly nonlinear degenerate parabolic hyperbolic equation, we propose a generalization of entropy formulation and prove existence and uniqueness result without any structure condition.
文摘The application of wavelets is explored to solve acoustic radiation and scattering problems. A new wavelet approach is presented for solving two-dimensional and axisymmetric acoustic problems. It is different from the previous methods in which Galerkin formulation or wavelet matrix transform approach is used. The boundary quantities are expended in terms of a basis of the periodic, orthogonal wavelets on the interval. Using wavelet transform leads a highly sparse matrix system. It can avoid an additional integration in Galerkin formulation, which may be very computationally expensive. The techniques of the singular integrals in two-dimensional and axisymmetric wavelet formulation are proposed. The new method can solve the boundary value problems with Dirichlet, Neumann and mixed conditions and treat axisymmetric bodies with arbitrary boundary conditions. It can be suitable for the solution at large wave numbers. A series of numerical examples are given. The comparisons of the results from new approach with those from boundary element method and analytical solutions demonstrate that the new techique has a fast convergence and high accuracy.
基金supported by National Natural Science Foundation of China(Grant No.11971222)。
文摘Hilbert’s Tenth Problem(HTP)asks for an algorithm to test whether an arbitrary polynomial Diophantine equation with integer coefficients has solutions over the ring Z of integers.This was finally solved negatively by Matiyasevich in 1970.In this paper we obtain some further results on HTP over Z.We prove that there is no algorithm to determine for any P(z1,...,z9)∈Z[z1,...,z9]whether the equation P(z1,...,z9)=0 has integral solutions with z9≥0.Consequently,there is no algorithm to test whether an arbitrary polynomial Diophantine equation P(z1,...,z11)=0(with integer coefficients)in 11 unknowns has integral solutions,which provides the best record on the original HTP over Z.We also prove that there is no algorithm to test for any P(z1,...,z17)∈Z[z1,...,z17]whether P(z12,...,z172)=0 has integral solutions,and that there is a polynomial Q(z1,...,z20)∈Z[z1,...,z20]such that{Q(z12,...,z202):z1,...,z20∈Z}∩{0,1,2,...}coincides with the set of all primes.
