但是实际上留数却确实会发生变化。
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.
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.
本文在传统的留数计算方法的基础上，提出了三种改进的留数计算方法，并给出了应用实例。
This paper presents three improved methods on calculation of residues based on the traditional methods, and gives the applied example for these methods.
本文在传统的留数计算方法的基础上，提出了三种改进的留数计算方法，并给出了应用实例。
The present paper presents three improved methods on calculation of residues based on the traditional methods, and gives the applied example for these methods.
推广了留数理论中的对数留数定理，给出了一般性的结论，从而解决了一类函数的留数计算问题。
The traditional logarithmic residue theorem is generalized, so a general conclusion is given to solve the calculating for residue.
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.
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.
文中介绍了扇面直波导及其腔体中电矢量位和磁矢量位的格林函数，采用分离变量法、傅里叶变换法和留数定理导出了格林函数的具体表达式。
The Green's functions for electric and magnetic vector potentials in a sectoral wave guide and its cavity are derivated by using the separation of variables, Fourier transform and residue theory.
试验结果表明：对烤烟产量起主要作用的是氮肥用量，密度与留叶数的互作。
The experimental results showed that nitrogen levels and interaction between the density and the number of reserved leaf were significant in yield.
打顶时间的早晚和留叶数的多少对中、下部叶片大小影响较小，但影响这些部位叶片的单叶重，对上二棚及顶叶的开片及单叶重都具有深刻的影响；
The size of middle and lower leaves was effected slightly while the weight per leaf of different stalk position and upper leaf size greatly by topping stage and the remained leaf number.
德国：新年前夕，以村镇为单位，选几株高达三丈的大树，砍掉数枝，只留主干。
Germany: New Year's eve, to towns and villages as a unit, the election of up to thirty feet Several Strains of trees, cut down the number of branches, leaving only the trunk.
烤烟生长发育后期，同一留叶数条件下，叶片NR活性、根系活力随着施氮量的增加呈先升高后降低的趋势；
In the late stage of flue-cured tobacco growth, under the same level of leaf number, leaf NR activity and root activity increased and then decreased with the increase of nitrogen application.
烤烟生长发育后期，同一留叶数条件下，叶片NR活性、根系活力随着施氮量的增加呈先升高后降低的趋势；
In the late stage of flue-cured tobacco growth, under the same level of leaf number, leaf NR activity and root activity increased and then decreased with the increase of nitrogen application.
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