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Availability Analysis of Parallel Repairable System with Omitted Failures 被引量:4
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作者 郑治华 崔利荣 《Journal of Beijing Institute of Technology》 EI CAS 2009年第1期117-120,共4页
The new model for parallel repairable system is introduced, and it is based on the practice problems of maintenance and the idea of Ion-Channel modeling. In the new model, repair times that are sufficiently short (le... The new model for parallel repairable system is introduced, and it is based on the practice problems of maintenance and the idea of Ion-Channel modeling. In the new model, repair times that are sufficiently short (less than some critical value) do not result in system failure, and such a repair interval is omitted from the downtime record. Usually, the underlying process is Markov process if the durations of working and repair time have the negative-exponential distributions, but the new system has not the Markov properties, which is worth to study. The reliability indexes such as instantaneous availability and steady-state availabilities for the new system are given through probability analysis. A numerical example is given to illustrate the results. 展开更多
关键词 parallel repairable system Markov process AVAILABILITY omitted failure
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HERMAN RINGS WITH SMALL PERIODS AND OMITTED VALUES
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作者 Tarun Kumar CHAKRA Gorachand CHAKRABORTY Tarakanta NAYAK 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1951-1965,共15页
All possible arrangements of cycles of three periodic as well as four periodicHerman rings of transcendental meromorphic functions having at least one omitted value aredetermined. It is shown that if p = 3 or 4, then ... All possible arrangements of cycles of three periodic as well as four periodicHerman rings of transcendental meromorphic functions having at least one omitted value aredetermined. It is shown that if p = 3 or 4, then the number of p-cycles of Herman rings isat most one. We have also proved a result about the non-existence of a 3-cycle and a 4-cycleof Herman rings simultaneously. Finally some examples of functions having no Herman ringare discussed. 展开更多
关键词 omitted values Herman rings and transcendental meromorphic functions
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Normal family and the sequence of omitted functions 被引量:4
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作者 CHEN QiaoYu YANG Liu PANG XueCheng 《Science China Mathematics》 SCIE 2013年第9期1821-1830,共10页
Let {fn} be a sequence of meromorphic functions on a plane domain D, whose zeros and poles have multiplicity at least 3. Let {hn} be a sequence of meromorphic functions on D, whose poles are multiple, such that {hn} c... Let {fn} be a sequence of meromorphic functions on a plane domain D, whose zeros and poles have multiplicity at least 3. Let {hn} be a sequence of meromorphic functions on D, whose poles are multiple, such that {hn} converges locally uniformly in the spherical metric to a function h which is meromorphic and zero-free on D.If fn≠hn, then {fn} is normal on D. 展开更多
关键词 meromorphic function normal family the sequence of omitted functions
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A Normal Criterion Concerning Omitted Holomorphic Function 被引量:2
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作者 Jin Hua YANG Qi YANG Xue Cheng PANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2019年第12期1972-1978,共7页
In this paper,we continue to discuss the normality concerning omitted holomorphic function and get the following result.Let F be a family of meromorphic functions on a domain D,k≥4 be a positive integer,and let a(z)a... In this paper,we continue to discuss the normality concerning omitted holomorphic function and get the following result.Let F be a family of meromorphic functions on a domain D,k≥4 be a positive integer,and let a(z)and b(z)be two holomorphic functions on D,where a(z)■0 and f(z)≠∞ whenever a(z)=0.If for any f∈F,f'(z)?a(z)f^k(z)≠b(z),then F is normal on D. 展开更多
关键词 NORMAL FAMILY HOLOMORPHIC FUNCTIONS omitted FUNCTIONS
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The critical case for a Berestycki-Lions theorem 被引量:2
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作者 ZHANG Jian ZOU WenMing 《Science China Mathematics》 SCIE 2014年第3期541-554,共14页
We consider the existence of the ground states solutions to the following Schrodinger equation -△u + V(x)u = f(u), u ∈ H1(RN), where N ) 3 and f has critical growth. We generalize an earlier theorem due to ... We consider the existence of the ground states solutions to the following Schrodinger equation -△u + V(x)u = f(u), u ∈ H1(RN), where N ) 3 and f has critical growth. We generalize an earlier theorem due to Berestycki and Lions about tile subcritical case to the current critical case. 展开更多
关键词 meromorphic function normal family the sequence of omitted functions
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A Criterion of Normality Concerning Holomorphic Functions Whose Derivative Omits a Function 被引量:1
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作者 Xiaojun LIU Yasheng YE 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2011年第5期699-710,共12页
The authors discuss the normality concerning holomorphic functions and get the following result. Let F be a family of holomorphic functions on a domain D C C, all of whose zeros have multiplicity at least k, where k ... The authors discuss the normality concerning holomorphic functions and get the following result. Let F be a family of holomorphic functions on a domain D C C, all of whose zeros have multiplicity at least k, where k 〉 2 is an integer. And let h(z)≠ 0 be a holomorphic function on D. Assume also that the following two conditions hold for every f ∈F: (a) f(z) = 0 [f^(k)(z)| 〈 |h(z)|; (b) f^(k)(z)≠ h(z). Then F is normal on 展开更多
关键词 Normal family Holomorphic functions omitted function
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How China's Holdings of Foreign Reserves Affect the Value of the US Dollar in Europe and Asia
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作者 Jonathan E. Leightner 《China & World Economy》 SCIE 2010年第3期24-39,共16页
By January 2009, China held almost US$2tn in foreign reserves. The present paper estimates the marginal effect of China changing its holdings offoreign reserves on the value of the US dollar in Europe and dsia. Becau... By January 2009, China held almost US$2tn in foreign reserves. The present paper estimates the marginal effect of China changing its holdings offoreign reserves on the value of the US dollar in Europe and dsia. Because using traditional techniques to find this estimate would be inappropriate due to severe problems resulting from omitted variables, the present paper uses a new approach, bidirectional-reiterative trucated projected least squares, that has been proven to minimize problems associated with omitted variables. It is found that if China would sell 1 percent of its foreign reserves, then the value of the US dollar would fall by 0.44 percent. With such a large effect, China has an incentive to either not sell arty of its US dollar reserves or sell all of its US dollar reserves. 展开更多
关键词 exchange rates China foreign reserves omitted variables
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A Criterion of Normality Concerning Holomorphic Functions Whose Derivative Omit a Function II
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作者 Qiaoyu CHEN Xiaojun LIU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第6期815-822,共8页
The authors discuss the normality concerning holomorphic functions and get the following result. Let F be a family of functions holomorphic on a domain D C, all of whose zeros have multiplicity at least k, where k ≥... The authors discuss the normality concerning holomorphic functions and get the following result. Let F be a family of functions holomorphic on a domain D C, all of whose zeros have multiplicity at least k, where k ≥ 2 is an integer. Let h(z) ≠ 0 and oo be a meromorphic function on D. Assume that the following two conditions hold for every f C Dr : (a) f(z) = 0 =→ |f(k)(z)| 〈|h(z)|. (b) f(k)(z) ≠ h(z). Then F is normal on D. 展开更多
关键词 Normal family Meromorphic functions omitted function
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Optomechanical properties of a degenera te nonperiodic cavity chain 被引量:2
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作者 Miao-Miao Zhao Zhuo Qian +2 位作者 Bang-Pin Hou Yong Liu Yong-Hong Zhao 《Frontiers of physics》 SCIE CSCD 2019年第2期31-38,共8页
The absorption of single-cav计y and double-cavity optomechanical systems and periodic optomechanical lattices has previously been investigated extensively. In this paper, we present the absorption of a nonperiodic cav... The absorption of single-cav计y and double-cavity optomechanical systems and periodic optomechanical lattices has previously been investigated extensively. In this paper, we present the absorption of a nonperiodic cavity chain. where the absorption value on the resonance point shows switchable dips or peaks, according to whether the optomechanical interaction is at an odd or even-numbered position in the chain. Meanwhile, the value of absorption due to the optomechanical interaction varies with the number of the bare cavities. The calculated results may have some novel applications, such as detecting the position of the movable mirror in a long cavity chain, which would be useful in quantum information processing based on optomechanical systems. 展开更多
关键词 OPTOMECHANICS optomechanically INDUCED TRANSPARENCY (OMIT)
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