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.
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.
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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