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.

youdao

复极点的实部是不稳定局域模的能量，虚部是它寿命的倒数，自然地得到了寿命为正的限制。

The real part of the complex pole is the energy of an unstable localized mode, and the reciprocal of the imaginary part is its life-time. Naturally the life-time is positive.

youdao