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181.
Entropy and Random Vectors 总被引:1,自引:0,他引:1
Barron(1) produced a proof of the Central Limit Theorem for real-valued IID random variables, in the sense of convergence in relative entropy. Here, we establish a similar result for independent real-valued random vectors, not necessarily identically distributed. The main developments required are a generalisation of De Bruijn's identity, and various inequalities proposed in ref. 2. 相似文献
182.
183.
设${\cal F}$为开平面内的区域$D$上的亚纯函数族, ${\cal F}$中任何函数$f(z)\in{\cal F}$, $f$的零点竽数至少为$k+1$.对于$D$内不等于零的解析函数$a(z)$.若$f(z)$与其微分多项式$D(f)$ IM分担$a(z)$,本文不仅得到${\cal F}$在$D$上正规, 而且得到相应于正规函数的结果. 相似文献
185.
This paper considers a posteriori error estimates by averaged gradients in second order parabolic problems. Fully discrete
schemes are treated. The theory from the elliptic case as to when such estimates are asymptotically exact, on an element,
is carried over to the error on an element at a given time. The basic principle is that the elliptic theory can be extended
to the parabolic problems provided the time-step error is smaller than the space-discretization error. Numerical illustrations
confirming the theoretical results are given. Our results are not practical in the sense that various constants can not be
estimated realistically. They are conceptual in nature.
AMS subject classification (2000) 65M60, 65M20, 65M15 相似文献
186.
本文研究所有子群皆交换或正规的有限群. 我们获得了非幂零的情形的一个特征刻画, 也给出了幂零情形的一些性质. 相似文献
187.
K. F. Cheng 《Annals of the Institute of Statistical Mathematics》1987,39(1):331-347
Summary In this paper, two types of robust estimators and approximate confidence intervals for the difference of location parameters
of correlated random variables are proposed and investigated when some observations are missing. It is shown that the suggested
estimators are consistent and asymptotically normally distributed. In addition, the proposed approximate confidence intervals
are also shown to enjoy some nice asymptotic properties. 相似文献
188.
A. Yu. Fishkin 《Functional Analysis and Its Applications》2009,43(1):78-80
We consider a nondegenerate one-parameter family of germs of conformal maps of (?, 0) into (?, 0). We prove that such a family is analytically linearizable whenever it is formally linearizable. In this case, the linearizing coordinate change analytically depends on the parameter. 相似文献
189.
N. S. Papageorgiou 《Journal of Optimization Theory and Applications》1990,65(1):171-178
In this note, we study the well-posedness of the problem of constrained minimization of an integral functional and show that global well-posedness is equivalent to pointwise well-posedness almost everywhere. Our result extends an earlier one by Zolezzi.This research was supported by NSF Grant No. DMS 88-02688. 相似文献
190.
Tunable optomechanically induced transparency and fast–slow light in a loop-coupled optomechanical system 下载免费PDF全文
《中国物理 B》2021,30(9):94205-094205
We theoretically explore the tunability of optomechanically induced transparency(OMIT) phenomenon and fast–slow light effect in a loop-coupled hybrid optomechanical system in which two optical modes are coupled to a common mechanical mode. In the probe output spectrum, we find that the interference phenomena OMIT caused by the optomechanical interactions and the normal mode splitting(NMS) induced by the strong tunnel coupling between the cavities can be observed. We further observe that the tunnel interaction will affect the distance and the heights of the sideband absorption peaks. The results also show that the switch from absorption to amplification can be realized by tuning the driving strength because of the existence of stability condition. Except from modulating the tunnel interaction, the conversion between slow light and fast light also can be achieved by adjusting the optomechanical interaction in the output field. This study may provide a potential application in the fields of high precision measurement and quantum information processing. 相似文献