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1)  Cauchy principle value of integral
Cauchy积分主值
2)  Cauchy Principle
Cauchy主值积分
1.
In this paper,we first introduces some notations and some preliminary results,then we give quadrature rules with Cauchy Principle integral on the unit circle for some Chebyshev weight functions,at that time we give their error bounds.
在本文中,我们首先给出一些基本的结果和一些概念,然后给出单位圆上带Cheby shev权的一些Cauchy主值积分的求积公式,最后给出了它们的误差估计。
3)  Cauchy type singular integral
Cauchy型主值积分
1.
In this paper, the author first gives a kind quadrature rule Φm*(ωf,x) for Cauchy type singular integral Φ(ωf, x), then proves the sequence{Φm*(ωf,x)}m=2∞ ls uniformly convergent to Φ(ωf,x) on the interval [-1,1], at that time gives its error bounds.
该文首先给出Cauchy型主值积分Φ(ωf,x)的一种求积公式Φm*(ωf,x),然后证明序列 {Φm*(ωf,x)}m=2∞在整个闭区间[-1,1]上是一致收敛到Cauchy型主值积分Φ(ωf,x)的,同时给出它的误差界。
4)  Cauchy's principal value of singular integral
奇异积分的Cauchy主值
5)  Cauchy principal value
Cauchy主值
1.
By using the multiple-valued character of the function zp(-1<p<1,p≠0) and logz,this paper discusses generalized integrals ∫+∞0xpR(x)dx and their Cauchy principal value when the rational function R(z) without the pole,or only has simple pole,in the path,gain the theorem of relational expression between ∫+∞0R(x)dx(or the Cauchy principal value) and the residues.
利用函数zp(-1
2.
In this paper, the Cauchy principal value of integrals ∫from 0 to ∞(R(x)logxdx) with rational function R(z) having simple pole in the semi-real axis x≥0 is discussed.
首先讨论有理函数R(z)在半实轴x≥0上含有简单极点时积分∫from x=0 to ∞(R(x)logxdx)的Cauchy主值,然后讨论积分∫from x=0 to ∞(R(x)(logx)~2dx)的Cauchy主值,得到这些积分主值的计算公式。
3.
This article\'s prime task is solves the shape like type ∫∞-∞eaxf(ex)dx on the generalized integrals of meromorphic functions and their Cauchy principal value summation problem.
运用留数定理求解形如∫-∞∞eaxf(ex)dx的一类亚纯函数的广义积分及其Cauchy主值的和,得到∫-∞∞eaxf(ex)dx(Cauchy主值)与留数间的关系。
6)  Cauchy integral
Cauchy积分
1.
Theoretical proof based on the impedance model and Cauchy integral formula was presented,emulation was performed on various experimental data to verify and illustrate the proposition.
基于Cole-Cole阻抗模型,采用Cauchy积分公式进行了理论分析,并用多组实验数据对理论分析结果进行验证。
2.
With various methods to prove the fundamental theorem of algebra analyzed, this paper use the elementary method, Cauchy integral theorem and the theorem of Brouwer s immovable point to prove the fundamental theorem of Algebra.
对代数基本定理的证明 ,进行了多种方法的分析 ,运用初等方法、Cauchy积分定理和Brouwer不动点定理 ,给出另外 3种方法进行论证 。
补充资料:小主
1.古代称年轻的君主或王子。 2.小公主。 3.旧时农村中贫贱之家的当家人。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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