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1·Cauchy inequalities, Liouville's Theorem.

柯西不等式、刘维尔定理。

2·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。

3·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。

4·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。

5·This paper proves fundamental theorem of algebra with Liouville's theorem , logarithmic residue theorem , argument principle, Rouche theorem, maximum (minimum)modules principle and zero point theorem.

研究和总结了用复变函数的观点与方法来证明代数基本定理。