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
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
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
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
The technology of locating magnetic anomaly targets via geomagnetic eld measurements has been increasingly widely applied,with multiple magnetic anomaly target localization emerging as a critical research direction.Ho...The technology of locating magnetic anomaly targets via geomagnetic eld measurements has been increasingly widely applied,with multiple magnetic anomaly target localization emerging as a critical research direction.However,when two magnetic anomaly targets are horizontally close but vertically separated,traditional clustering-based localization methods tend to omit the deeper target.To address this issue,we propose an improved clustering-based localization method for multiple magnetic anomaly targets,which integrates two core innovations:the introduction of a reference target to establish a benchmark for normal magnetic moment distribution,and the utilization of spatial distribution characteristics of magnetic moment estimates to judge the presence of omitted targets.Simulation results demonstrate that the proposed method not only achieves accurate localization of conventional targets but also eectively identies the omission of deeper targets,providing a reliable basis for determining whether supplementary localization steps are required.展开更多
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
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
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
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
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
基金Sponsored bythe National Natural Science Foundation of China(70671009)the Postgraduate Science and Innovation Project of Beijing Instituteof Technology (GC200818)
文摘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.
基金supported by CSIRDepartment of Science and Technology,Goverment of India through a Fast Track Project(SR-FTP-MS019-2011)respectively
文摘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.
基金Supported by the NNSF of China(Grant Nos.11761069 and 11871216)Young Teacher Scientific Research Foundation of Xinjiang Normal University(XJNU201506)“13th Five-Year” Plan for Key Discipline Mathematics Bidding Project(Grant No.17SDKD1104),Xinjiang Normal University
文摘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.
基金National Natural Science Foundation of China (Grant No. 11071074)
文摘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.
基金funded by the Youth Project of Basic Research Plan for Natural Sciences in Shaanxi Province,grant number 2024JC-YBQN-0253.
文摘The technology of locating magnetic anomaly targets via geomagnetic eld measurements has been increasingly widely applied,with multiple magnetic anomaly target localization emerging as a critical research direction.However,when two magnetic anomaly targets are horizontally close but vertically separated,traditional clustering-based localization methods tend to omit the deeper target.To address this issue,we propose an improved clustering-based localization method for multiple magnetic anomaly targets,which integrates two core innovations:the introduction of a reference target to establish a benchmark for normal magnetic moment distribution,and the utilization of spatial distribution characteristics of magnetic moment estimates to judge the presence of omitted targets.Simulation results demonstrate that the proposed method not only achieves accurate localization of conventional targets but also eectively identies the omission of deeper targets,providing a reliable basis for determining whether supplementary localization steps are required.
基金supported by the National Natural Science Foundation of China (No. 11071074)the Outstanding Youth Foundation of Shanghai (No. slg10015)
文摘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
文摘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.
基金Project supported by the National Natural Science Foundation of China(No.11071074)the Outstanding Youth Foundation of Shanghai(No.slg10015)
文摘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.
文摘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.
文摘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.
