This paper weakened the Liouville s theorem conditions, and gives the Liouville theorem of a promotion. 弱化了刘维尔定理的条件,给出了刘维尔定理的一个推广。
Laurent expansion and Liouville theorem of biregular function in Clifford analysis Clifford分析中双正则函数的Laurent展式和Liouville定理
Liouville Type Theorem of a Class of Semilinear Tricomi Equations 一类半线性Tricomi方程的Liouville型定理
On Generalized Liouville Theorem for Q-Holomorphic Matrix Valued Function Q&全纯矩阵值函数的广义LiOuville定理
When the generalized uncertainty relation is considered the new equation of quantum state density is obtained based on Liouville's theorem. 当考虑了广义不确定关系后,在刘维定理的基础上采取了新的量子态密度方程,我们发现黑洞视界附近的量子态数目变成了有限。
Another Proof of Liouville Theorem Liouville定理的另一种证法
It is verified that Liouville's theorem still holds under such circumstances. 证明了存在二级像差情况下刘维定理仍然成立。
In this paper we establish a set of kinetic equations from Liouville's theorem which can be used to describe the charged particle distribution in the accretion column of a neutron star. 本文从刘维定理出发,通过相空间求平均,建立了中子星吸积柱中粒子流连续方程和动量迁移方程。
Liouville theorem of Fully Nonlinear Elliptic Equations 完全非线性椭圆方程的Liouville定理
The initial water depth, roughness coefficient and channel bottom slope in the equation are taken as random variables, and then the random differential equation is solved numerically with the application of Liouville theorem. 在模型中将初始水深、糙率系数及渠道底坡视为随机变量,采用Liouville定理〔1〕求解相应的微分方程,得到了较好的结果。
The light ray liouville's theorem and its application are discussed on the basis of ray mechanics in the paper. 本文对近年来在光线力学的基础上发展起来的光线刘维定理及其应用问题作一个综述性讨论。
Application of liouville's theorem to electron and ion optical systems possessing the primary aberrations 存在初级象差下电子和离子光学系统中刘维定理的应用
,. Starting from the phase space representation of particle beam and Liouville's theorem, this paper presented the physical concepts of emittance and brightness and simply discussed the determination of particle beam emittance and density distribution in the transverse phase space projection. 本文从粒子束的相空间表示法和刘维尔定理出发,介绍了发射度和亮度的物理概念,简单地讨论了束的发射度和相空间密度分布的测量方法。
Of the four equations the basic equation is the continuum equation of phase space for the guiding center which has its root in the Liouville's theorem. 这四个方程中,引导中心相空间连续方程是基本方程,刘维定理则是核心。
The property of subharmonic function on any complete Riemannian manifold with nonnegative Ricci curvature was studied, another proof of Yau's Liouville Theorem on Riemannian manifold can be obtained. 通过研究完备的、Ricci曲率非负的黎曼流形上的次调和函数的性质,给出了Yau的关于黎曼流形上的刘维尔定理的另一证明。
D shape. Liouville Type Theorem for Differential Forms 微分形式的Liouville型定理
A Liouville type theorem for solutions of diagonal form elliptic simultaneous equations 对角形椭圆型方程组的解的Liouville型定理