Numerical simulation of antennae is a topic in computational electromagnetism,which is concerned withthe numerical study of Maxwell equations.By discrete exterior calculus and the lattice gauge theory with coefficient...Numerical simulation of antennae is a topic in computational electromagnetism,which is concerned withthe numerical study of Maxwell equations.By discrete exterior calculus and the lattice gauge theory with coefficient R,we obtain the Bianchi identity on prism lattice.By defining an inner product of discrete differential forms,we derivethe source equation and continuity equation.Those equations compose the discrete Maxwell equations in vacuum caseon discrete manifold,which are implemented on Java development platform to simulate the Gaussian pulse radiation onantennaes.展开更多
In this paper, the author studies fractional integral inequalities which provide explicit bounds on unknown functions. By applying the Riemann-Liouville integral operator to some functions defined on the positive real...In this paper, the author studies fractional integral inequalities which provide explicit bounds on unknown functions. By applying the Riemann-Liouville integral operator to some functions defined on the positive real axis, the author establishes sufficient conditions to generate some new fractional integral inequalities of Qi type and finally gives two main results： in the first one, the author uses only functions of independent variables; but in the second one, the author uses functions of independent variables combined with some positive functions. It is to note that in this paper, some interested classical integral inequalities can be deduced as some special cases of the paper＇s results. In order to illustrate a possible practical use of these results, in the last section of the paper, the author applies the proposed inequalities to the Bagley-Torvik equation which arises in modeling the motion of a rigid plate immersed in a Newtonian fluid. Some other examples that arise in applications are also presented.展开更多
The broad applicability of super-resolution microscopy has been widely demonstrated in various areas and disciplines. The optimization and improvement of algorithms used in super-resolution microscopy are of great imp...The broad applicability of super-resolution microscopy has been widely demonstrated in various areas and disciplines. The optimization and improvement of algorithms used in super-resolution microscopy are of great importance for achieving optimal quality of super-resolution imaging. In this review, we comprehensively discuss the computational methods in different types of super-resolution microscopy, including deconvolution microscopy, polarization-based super-resolution microscopy, structured illumination microscopy, image scanning microscopy, super-resolution optical fluctuation imaging microscopy, single-molecule localization microscopy, Bayesian super-resolution microscopy, stimulated emission depletion microscopy, and translation microscopy. The development of novel computational methods would greatly benefit super-resolution microscopy and lead to better resolution, improved accuracy, and faster image processing.展开更多
基金Supported by National Key Based Research Project of China under Grant No.2004CB318000National Natural Science Foundation of China under Grant No.10871170
文摘Numerical simulation of antennae is a topic in computational electromagnetism,which is concerned withthe numerical study of Maxwell equations.By discrete exterior calculus and the lattice gauge theory with coefficient R,we obtain the Bianchi identity on prism lattice.By defining an inner product of discrete differential forms,we derivethe source equation and continuity equation.Those equations compose the discrete Maxwell equations in vacuum caseon discrete manifold,which are implemented on Java development platform to simulate the Gaussian pulse radiation onantennaes.
文摘In this paper, the author studies fractional integral inequalities which provide explicit bounds on unknown functions. By applying the Riemann-Liouville integral operator to some functions defined on the positive real axis, the author establishes sufficient conditions to generate some new fractional integral inequalities of Qi type and finally gives two main results： in the first one, the author uses only functions of independent variables; but in the second one, the author uses functions of independent variables combined with some positive functions. It is to note that in this paper, some interested classical integral inequalities can be deduced as some special cases of the paper＇s results. In order to illustrate a possible practical use of these results, in the last section of the paper, the author applies the proposed inequalities to the Bagley-Torvik equation which arises in modeling the motion of a rigid plate immersed in a Newtonian fluid. Some other examples that arise in applications are also presented.
基金Project supported by the National Key Foundation for Exploring Scientific Instrument （No. 2013YQ03065102）, the National Basic Research Program （973） of China （No. 2012CB316503）, and the National Natural Science Foundation of China （Nos. 31327901, 61475010, 31361163004, and 61428501）
文摘The broad applicability of super-resolution microscopy has been widely demonstrated in various areas and disciplines. The optimization and improvement of algorithms used in super-resolution microscopy are of great importance for achieving optimal quality of super-resolution imaging. In this review, we comprehensively discuss the computational methods in different types of super-resolution microscopy, including deconvolution microscopy, polarization-based super-resolution microscopy, structured illumination microscopy, image scanning microscopy, super-resolution optical fluctuation imaging microscopy, single-molecule localization microscopy, Bayesian super-resolution microscopy, stimulated emission depletion microscopy, and translation microscopy. The development of novel computational methods would greatly benefit super-resolution microscopy and lead to better resolution, improved accuracy, and faster image processing.
