1) Borel measurable
Borel可测
2) Borel measurable real function
Borel可测实函数
3) Borel removable set
Borel可去集
1.
This paper porves the following result: Let {Rm} be α Sequence of positive numbers satisfying lin be α sequence of real numbers with 0 and η (0<η<π) and S (S>1) are two constans, Let Where DmLet be a family of meromorphic functions with positive order and ∞ be a Borel exceptional value, Then D is α Borel removable set for .
证明了如下结果:设{Rm}是一正实数序列,满足,并且是一实数序列(0<m<2π)和η(0<η<π)S(S>1)是两个常数,设D=UDm,其中设是级为非零有穷的亚纯函数族,且以∞为Borel例外值,则D是的一个Borel可去集。
4) Borel measure
Borel测度
1.
Blind speech signals separation based on Borel measure peaks for under-determined mixtures;
基于Borel测度峰值判定的欠定混合盲语音信号分离
2.
Given complex numbersγ≡γ~((4)):γ_(00),γ_(01),γ_(10),γ_(02),γ_(11),γ_(20),γ_(03),γ_(12),γ_(21),γ_(30),γ_(04),γ_(13),γ_(22),γ_(31),γ_(40)with γ_(00)>0, γ_(ji)=(γ_(ji))|-, find a positive Borel measure μ such thatwe exami.
本文讨论Curto-Fialow所给出的四阶截断复矩问题:给定复数列 γ≡γ~(4):γ_(00),γ_(01),γ_(10),γ_(02),γ_(11),γ_(20),γ_(03),γ_(12),γ_(21),γ_(30),γ_(04),γ_(13),γ_(22),γ_(31),γ_(40)其中γ_(00)>0,γ_(ji)=(?)γ_(ij),找到一个正的Borel测度μ使得以下式子成立, γ_(ij)=integral to -izz~jdμ(0≤i+j≤4),具体地得到了四阶非奇异截断复矩矩阵M(2)的平坦延拓存在性的条件,也就是说rankM(2)=6时的表示测度问题,在特殊情况下的解,并举例进行了验证。
5) Borel-Stieltjes measure
Borel-Stieltjes测度
1.
The measure on the measurable space (Rn,(?)n) is as characterized a Borel-Stieltjes measure.
给出可测空间(R~n,~n)上的测度为Borel-Stieltjes测度的特征;利用分布函数的术语完全刻画了R~n上的Borel-Stieltjes测度成为乘积测度的条件。
6) Complex Borel measure
复Borel测度
补充资料:测测
1.深貌。 2.寒冷貌。 3.疾进貌。
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