We expand previously established results concerning the uniform representability of classical and relativistic gravitational field equations by means of velocity-field divergence equations by demonstrating that conser...We expand previously established results concerning the uniform representability of classical and relativistic gravitational field equations by means of velocity-field divergence equations by demonstrating that conservation equations for (probability) density functions give rise to velocity-field divergence equations the solutions of which generate—by way of superposition—the totality of solutions of various well-known classical and quantum-mechanical wave equations.展开更多
In this paper,we first obtain a unified integral representation on the analytic varieties of the general bounded domain in Stein manifolds(the two types bounded domains in[3]are regarded as its special cases).Secondly...In this paper,we first obtain a unified integral representation on the analytic varieties of the general bounded domain in Stein manifolds(the two types bounded domains in[3]are regarded as its special cases).Secondly we get the integral formulas of the solution of∂-equation.And we use a new and unique method to give a uniform estimate of the solution of∂-equation,which is different from Henkin's method.展开更多
In this paper we find that a set of energy eigenstates of a two-dimensional anisotropic harmonic potential in a uniform magnetic field is classified as the atomic coherent states ｜τ） in terms of the spin values of ...In this paper we find that a set of energy eigenstates of a two-dimensional anisotropic harmonic potential in a uniform magnetic field is classified as the atomic coherent states ｜τ） in terms of the spin values of j in the Schwinger bosonic realization. The correctness of the above conclusions can be verified by virtue of the entangled state 〈η｜ representation of the state ｜τ）.展开更多
针对传统掌纹识别方法易受噪声干扰,且旋转鲁棒性差的问题,提出一种采用均匀局部二元模式(Uniform Local Binary Patterns,ULBP)及稀疏表示的掌纹识别方法。该方法利用善于表达图像纹理特征,且具有良好旋转不变性和抗干扰性的ULBP提取...针对传统掌纹识别方法易受噪声干扰,且旋转鲁棒性差的问题,提出一种采用均匀局部二元模式(Uniform Local Binary Patterns,ULBP)及稀疏表示的掌纹识别方法。该方法利用善于表达图像纹理特征,且具有良好旋转不变性和抗干扰性的ULBP提取掌纹图像特征;同时考虑到直接对整幅图像进行ULBP处理会丢失局部纹理,采用先对各图像进行分块,再对各块分别进行ULBP处理的特征提取方案。在分类算法的设计上,本文利用掌纹图像库中训练样本的ULBP特征构造过完备字典,通过求解l1范数意义下的最优化问题实现测试样本的稀疏分解,并提出一种基于统计残差平均的稀疏表示分类方法,实现了测试掌纹图像的分类识别。实验结果表明,本文方法不仅具有良好的旋转及噪声鲁棒性,而且总体识别率明显优于基于PCA及2DPCA的传统稀疏表示分类方法,对于包含5 000031 0人的掌纹数据库,识别率分别提高了8.8%和6.8%。展开更多
Using an alternative representation of the Ricci tensor, we argue that the theory of gravitation can be easily developed in such a way that the formal description of gravity in the transition from classical Newtonian ...Using an alternative representation of the Ricci tensor, we argue that the theory of gravitation can be easily developed in such a way that the formal description of gravity in the transition from classical Newtonian physics to general relativity remains essentially unchanged. That is to say, we show how arguments concerning the plausible conceptual compatibility of Newtonian and general-relativistic models of gravity can be replaced by a demonstration of their actual formal identity. More specifically, we find that both the classical Newtonian and the general relativistic field equations are equivalent to a velocity-field divergence equation of the form v [div (v)] + div (v,v) = -4πρ where the term div (v,v) is defined to be the trace of the square of the Jacobian derivative matrix of v (or of its general-relativistic analogue).展开更多
根据I-型垂直密度表示及II-型垂直密度表示,分析垂直密度表示(Vertical Density Representation,简记为VDR)的提出与Lebesgue积分创立的异曲同工之处.阐述VDR在随机数生成、概率分布构造、多元分布拟合优度检验等方面的应用.垂直密度表...根据I-型垂直密度表示及II-型垂直密度表示,分析垂直密度表示(Vertical Density Representation,简记为VDR)的提出与Lebesgue积分创立的异曲同工之处.阐述VDR在随机数生成、概率分布构造、多元分布拟合优度检验等方面的应用.垂直密度表示是一种特殊类型的变量变换,可用以探究概率分布的内在特性.展开更多
文摘We expand previously established results concerning the uniform representability of classical and relativistic gravitational field equations by means of velocity-field divergence equations by demonstrating that conservation equations for (probability) density functions give rise to velocity-field divergence equations the solutions of which generate—by way of superposition—the totality of solutions of various well-known classical and quantum-mechanical wave equations.
文摘In this paper,we first obtain a unified integral representation on the analytic varieties of the general bounded domain in Stein manifolds(the two types bounded domains in[3]are regarded as its special cases).Secondly we get the integral formulas of the solution of∂-equation.And we use a new and unique method to give a uniform estimate of the solution of∂-equation,which is different from Henkin's method.
基金Project supported by the National Natural Science Foundation of China (Grant No. 10574060)the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23)the Shandong Provincal Higher Educational Science and Technology Program of China (Grant Nos. J09LA07 and J10LA15)
文摘In this paper we find that a set of energy eigenstates of a two-dimensional anisotropic harmonic potential in a uniform magnetic field is classified as the atomic coherent states ｜τ） in terms of the spin values of j in the Schwinger bosonic realization. The correctness of the above conclusions can be verified by virtue of the entangled state 〈η｜ representation of the state ｜τ）.
文摘Using an alternative representation of the Ricci tensor, we argue that the theory of gravitation can be easily developed in such a way that the formal description of gravity in the transition from classical Newtonian physics to general relativity remains essentially unchanged. That is to say, we show how arguments concerning the plausible conceptual compatibility of Newtonian and general-relativistic models of gravity can be replaced by a demonstration of their actual formal identity. More specifically, we find that both the classical Newtonian and the general relativistic field equations are equivalent to a velocity-field divergence equation of the form v [div (v)] + div (v,v) = -4πρ where the term div (v,v) is defined to be the trace of the square of the Jacobian derivative matrix of v (or of its general-relativistic analogue).
文摘根据I-型垂直密度表示及II-型垂直密度表示,分析垂直密度表示(Vertical Density Representation,简记为VDR)的提出与Lebesgue积分创立的异曲同工之处.阐述VDR在随机数生成、概率分布构造、多元分布拟合优度检验等方面的应用.垂直密度表示是一种特殊类型的变量变换,可用以探究概率分布的内在特性.
