1) Differentiation of Measure
测度的微分
1.
The Differentiation of Measure and the Boundary Properties of the Convolution Transform of Some Approximate Identity by the Measure;
测度的微分同测度与单位逼近的卷积的边界渐近性质
2) differentiation of measures on a net
测度的网微分
1.
Professor Liu Wen, who first invented analysis method in solving Large Number theorem, connected it with moment generating functions, conditional moment generating functions and differentiation of measures on a net, and some strong limit theorems are obtained.
刘文教授在解决大数定律中把首创的分析方法和矩母函数、条件矩母函数以及测度的网微分法结合起来,得出一系列极限结果,本论文继续并拓广这方面的研究。
3) differentiation of measure on a net
测度关于网的微分法
4) measure calculus
测度微积分
5) peturbation of measures
测度的微扰
6) differentiation of a measure on a net
测度网微分法
补充资料:Carathéodory测度
Carathéodory测度
Carathe'odory measure
的度量空间M的一切子集类上的外测度(outer meas-ure),满足条件:当p(通,B)>0时 拜’(A UB)=拜’(A)+拜’(B).它是C .Carath改对ory引进的(【l」).集合E C=M属于群的定义域,即矿可测,当且仅当对一切A仁M,成立等式 拌’(A)=林‘(A门E)+科’(A门CE),此处eE=材\E.假如E是拜’可测,则杯(E)=拜‘(E).Carath叙记ory测度的定义域包含一切Borel集.假如矿是某度量空间所有子集类上的外测度,使每个开集均为矿可测,则矿是c盯ath白劝ory外测度.【补注】Carath亡odory外测度也时常称为度量外测度(metric outer measure),见【AI」.Carath亡目衅测度【Carath岭odory measure;枪脚1即-口叩.Me钾」 由Cara‘h的dory秒酬摩科‘(ou‘er Cara‘h胡orymeasure矿)诱导的测度,前者是指定义在(具有度量P)
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参考词条