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1)  complex field
复数域
1.
For constructed formula ①,and make integrand (formula) in complex field decompose into 2n times complexroots,and make real and imaginary part in real number field integrate and then obtain the limit,presenting constructed formula ②.
对构造的公式①,在复数域将其被积函数分解得2n个复根。
2)  complex number field
复数域
1.
Based on a case study of the Watt linkage,the bifurcation equation with angle variables has been established in complex number field.
以瓦特六杆机构为例,在复数域内建立了以角度为变量的复数形式机构分叉分析方程。
2.
It also points out that the special couple of ordered real numbers and 2 by 2 demensional vectors and the matrice all can be defined as the complex number field .
本文阐明了域和同构的概念,并证明了有序实数组、二维向量和二阶矩阵的同构关系,指出特殊的实数组、二维向量和二阶矩阵都可以定义复数域
3)  field of complex numbers
复数域
1.
Lattice-orderings on the field of complex numbers;
复数域的格序化问题研究
4)  complex number domain
复数域
1.
In view of the traditional difficulty of feature extraction for weak signal in the realm of fault diagnosis, a new method was presented to calculate the complex magnitude and then to extract the feature of weak signal, in which the original time series was transfered to frequency domain, and then to complex number domain, based on Fourier transform.
弱信号特征提取一直是故障诊断领域的难点,文章结合传统傅里叶变换,提出一种将时间序列变换为频域,再从频域转换到时域的复数域,并对该复数域进行幅值计算的方法对弱信号进行特征提取。
5)  complex numerical range
复数值域
6)  fractal in complex domain
复数域分形
1.
Taking the fractal in complex domain as an example, the complex fractal dimension and the like are taken as follows: D=a+ib, r=x+iy,C=C x+iC y,N=N x+iN y.
复数域分形为例 ,其中 :复分维数D =a +ib ,r =x +iy ,C =Cx+iCy,N =Nx+iNy。
补充资料:超导电性的局域和非局域理论(localizedandnon-localizedtheoriesofsuperconductivity)
超导电性的局域和非局域理论(localizedandnon-localizedtheoriesofsuperconductivity)

伦敦第二个方程(见“伦敦规范”)表明,在伦敦理论中实际上假定了js(r)是正比于同一位置r的矢势A(r),而与其他位置的A无牵连;换言之,局域的A(r)可确定该局域的js(r),反之亦然,即理论具有局域性,所以伦敦理论是一种超导电性的局域理论。若r周围r'位置的A(r')与j(r)有牵连而影响j(r)的改变,则A(r)就为非局域性质的。由于`\nabla\timesbb{A}=\mu_0bb{H}`,所以也可以说磁场强度H是非局域性的。为此,超导电性需由非局域性理论来描绘,称超导电性的非局域理论。皮帕德非局域理论就是典型的超导电性非局域唯象理论。

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