在复分析中,留数定理是用来计算解析函数沿着闭曲线的路径积分的一个有力的工具,也可以用来计算实函数的积分。它是柯西积分定理和柯西积分公式的推广。
... 平行轴定理 theorem of parallel axes 留数定理 theorem of residues 理论力学 theoretical mechanics ...
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In the second chapter, by means of Cauchy residue theorem, author devises contour integration and integrand function to establish two trigonometric identities involvingdouble free parameters, which yields a series of trigonometric sum formulae.
第二章利用Cauchy留数定理,通过设计积分围道和被积函数,建立两个含有双自由参量的三角函数恒等式,在此基础上得到了一系列三角和公式。
参考来源 - 有限三角函数和的经典分析方法·2,447,543篇论文数据,部分数据来源于NoteExpress
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.
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.
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