• Title/Summary/Keyword: complex order

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GROWTH OF SOLUTIONS OF LINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS WITH COEFFICIENTS HAVING THE SAME LOGARITHMIC ORDER

  • Biswas, Nityagopal
    • Korean Journal of Mathematics
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    • v.29 no.3
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    • pp.473-481
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    • 2021
  • In this paper, we investigate the relations between the growth of meromorphic coefficients and that of meromorphic solutions of complex linear differential-difference equations with meromorphic coefficients of finite logarithmic order. Our results can be viewed as the generalization for both the cases of complex linear differential equations and complex linear difference equations.

An Efficient Complex Event Processing Algorithm based on INFA-HTS for Out-of-order RFID Event Streams

  • Wang, Jianhua;Wang, Tao;Cheng, Lianglun;Lu, Shilei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.9
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    • pp.4307-4325
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    • 2016
  • With the aim of solving the problems of long processing times, high memory consumption and low event throughput in the current processing approaches in out-of-order RFID event streams, an efficient complex event processing method based on INFA-HTS (Improved Nondeterministic Finite Automaton-Hash Table Structure) is presented in this paper. The contribution of this paper lies in the fact that we use INFA and HTS to successfully realize the detection of complex events for out-of-order RFID event streams. Specifically, in our scheme, to detect the disorder of out-of-order event streams, we expand the traditional NFA model into a new INFA model to capture the related RFID primitive events from the out-of-order event stream. To high-efficiently manage the large intermediate capturing results, we use the HTS to store and process them. As a result, these problems in the existing methods can be effectively solved by our scheme. The simulation results of our experiments show that our proposed method in this paper outperforms some of the current general processing approaches used to process out-of-order RFID event streams.

Charge Transfer Complexing Between Indole Derivatives and Methylviologen and Effects of Sodium Dodecyl Sulfate on It

  • Joon Woo Park;Sung-Jin Kim
    • Bulletin of the Korean Chemical Society
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    • v.5 no.3
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    • pp.121-126
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    • 1984
  • The charge transfer complex formations between indole derivatives and methylviologen were investigated spectroscopically. In aqueous solutions near room temperature, the order of complex stability was tryptamine < tryptophan < indole < indole acetate, which is the reverse order of the magnitude of molar absorptivities. This was interpreted as involvement of contact charge transfer. The decrease of enthalpy of complex formation (-${\Delta}$H) was highest in tryptamine, and lowest in indole acetate. ${\Delta}$H and entropy of complex formation (${Delta}$S) varied nearly in a linear fashion with isokinetic temperature $242^{\circ}$K. These results were attributed to the hydration-dehydration properties of the side chains in indole derivatives. Except indole acetate, the complex formations were greatly enhanced by the addition of sodium dodecyl sulfate(SDS). However, the direct relationship between the enhanced complex formation and SDS micelle formation was not found. The enhanced charge transfer interaction inSDS solutions was attributed to the increased ${\Delta}$S by interaction between methylviologen and SDS in premicellar level. The order of complex stability in SDS solutions was indole acetate < tryptophan < trypamine < indole, which reflects the hydrophobicity of indole derivatives as well as electrostatic interaction between indole derivatives and methylviologen associated with SDS.

Studies on the Zr-Pyrithione Complex (지르코늄-피리치온 착물에 관한 연구)

  • Kwon, Chung-Moo;Rhee, Gye-Ju
    • Journal of Pharmaceutical Investigation
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    • v.20 no.3
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    • pp.145-152
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    • 1990
  • Zirconium pyrithione complex was prepared by reaction of sodium-pyrithione solution and zirconyl chloride solution. The physico-chemical properties of the complex was examined by means of IR, XRD, DSC and NMR. And the stability of Zr-complex was investigated on the basis of accelerated stability analysis under conditions of temp. elevation, UV radiation and pH dependence. The result indicates that the ratio of the ligand to metal in Zr-pyrithione complex was determined 4:1, and its stability constant was $4.643{\times}10^4$. The rate order of decomposition of the complex was apparent first-order reaction of which rate constant and the decomposition rate was not only accelerated by effect of heat and UV radiation but was catalyzed by specific acid-base catalysis considered the pH dependence for the hydrolysis of the complex and the suspension was most stable over the range pH 4-8 indicating that solvent catalysis is the primary made of reaction in this region.

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Some Properties of Complex Uncertain Process

  • You, Cuilian;Xiang, Na
    • Industrial Engineering and Management Systems
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    • v.15 no.2
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    • pp.143-147
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    • 2016
  • Uncertainty appears not only in real quantities but also in complex quantities. Complex uncertain process is essentially a sequence of complex uncertain variables indexed by time. In order to describe complex uncertain process, a formal definition of complex uncertain distribution is given in this paper, as well as the concepts of independence and variance. In addition, some properties of complex uncertain integral are presented.

The Infinite Hyper Order of Solutions of Differential Equation Related to Brück Conjecture

  • Zhang, Guowei;Qi, Jianming
    • Kyungpook Mathematical Journal
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    • v.60 no.4
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    • pp.797-803
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    • 2020
  • The Brück conjecture is still open for an entire function f with hyper order of no less than 1/2, which is not an integer. In this paper, it is proved that the hyper order of solutions of a linear complex differential equation that is related to the Brüuck Conjecture is infinite. The results show that the conjecture holds in a special case when the hyper order of f is 1/2.

A Study on Development Strategy of Industrial Complex using SWOT/AHP Analysis Theory - The Case of the Firms in Seoul Digital Industrial Complex (SWOT/AHP 분석기법을 이용한 산업단지의 발전 전략에 관한 연구: 서울디지털산업단지를 중심으로)

  • Kim, Bo Seok;Lee, Min Jung
    • The Journal of Information Systems
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    • v.24 no.4
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    • pp.61-81
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    • 2015
  • Purpose Seoul Digital Industrial Complex has remarkably grown both quantitatively and qualitatively in short period of time since it started restructuring project in 1997. It's also not few that there were various challenges and difficulties in this industrial complex due to fast growth in short-term, such as the deficient amenities, noncooperation among the related organizations. Now, it's time to overcome these challenges and difficulties to establish new strategy for the sustainable growth and development of this Industrial Complex. Methodology There are some previous researches but almost none of them considered the priority order of the development strategy having reflected the needs of industrial complex in point of customer. In this regard, this study suggests the development strategy of Seoul Digital Industrial Complex by supplementing the limits of proceeding researches and using the combined SWOT/AHP analysis theory. Findings Based on the final analysis result of survey by combined SWOT/AHP method, this study suggests the priority order of 4 development strategies for Seoul Digital Industrial Complex, such as SO strategy, ST strategy, WO strategy and WT strategy.

Inactivation of Seawater Zooplankton Aretemia sp. using Physical and Chemical Processes (물리·화학적 공정을 이용한 해수 동물성 플랑크톤 Aretemia sp.의 소독)

  • Zheng, Cheng;Kim, Dong-Seog;Park, Young-Seek
    • Journal of Environmental Science International
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    • v.24 no.9
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    • pp.1181-1188
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    • 2015
  • In this study, we discussed about the application of the single physical and chemical treatment processes and the physical-chemical complex treatment processes on the inactivation of Artemia sp. in order to satisfy the USCG Phase II (United States Coast Guard). The results showed that initial disinfection rate of ultrasonic process in single batch process is higher than that of electrolysis. However, the inactivation rate showed slower than electrolysis. The inactivation rate of Artemia sp. on the single continuous treatment process ranked in the following order: homogenizer > electrolysis > ultrasonic process. Inactivation rate of Artemia sp. in continuous homogenizer-electrolysis complex process was reached at 100% immediately. A synergistic effect of ultrasonic-electrolytic complex process was found to be a small. The order of processes in a complex process did not affect the disinfection performance.