Cauchy inequalities, Liouville's Theorem.

柯西不等式、刘维尔定理。

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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。

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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。

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