本文特别证明，对于大多数液-固界面，极点的留数近似地正比于极点的虚部。

It is particularly proved that the residues of the poles are nearly proportional to the imaginary parts of the poles for most liquid-solid interfaces.

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留数是复变函数中的一个极其重要的概念，其应用也非常广泛，本文证明了实系数有理分式函数的共轭复极点的留数也互成共轭。

This paper proves that residues at conjugate complex poles of rational fractional function with real coefficients are conjugate complex Numbers as well.

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利用热弹体运动方程和热传导方程耦合问题的变换域解，求解其极点留数的解析表达式。

For the transformed solution of the thermoelastic and heat conduction equations coupled problem, the analytical representation of the pole residues is obtained.

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现在这个公式有意思的一点是尽管留数是变化的，它取决于用哪一个输入输出组合，而极点却并不变化。

Now the interesting part of this equation is that while the residues change depending on which input-output combination is acquired, the poles do not change.

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现在这个公式有意思的一点是尽管留数是变化的，它取决于用哪一个输入输出组合，而极点却并不变化。

Now the interesting part of this equation is that while the residues change depending on which input-output combination is acquired, the poles do not change.

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