• 대한수학회보
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• 제61권3호
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• pp.637-669
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• 2024

The goal of this paper is to study decay properties of weak solutions to Cauchy problem of the non-stationary fractional Navier-Stokes equations. By using the Fourier splitting method, we give the time L²-decay rate of weak solutions, which reveals that L²-decay is generally determined by its linear generalized Stokes flow. In second part, we establish various decay results and the uniqueness of the two dimensional fractional Navier-Stokes flows. In the end of this article, as an appendix, the existence of global weak solutions is given by making use of Galerkin' method, weak and strong compact convergence theorems.

• 한국정보통신학회논문지
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• 제20권9호
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• pp.1673-1678
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• 2016

음성인식처리 분야에서 배경잡음으로 인하여 음성입력이 배경잡음으로 잘못 판단되는 원인이 되어 음성인식율의 저하를 초래한다. 이러한 종류의 잡음대책은 단순하지 않으므로 보다 고도한 잡음처리기술이 필요하게 된다. 따라서 본 논문에서는 잡음환경 중에서 정상적인 배경잡음 혹은 비정상적인 배경잡음과 지속 시간이 짧은 음성을 구별하는 알고리즘에 대하여 기술한다. 본 알고리즘은 다른 종류의 잡음과 음성을 구별하는 중요한 수단으로서 개량된 음성의 특징파리미터를 사용한다. 다음으로 다층퍼셉트론 네트워크에 의하여 잡음의 종류를 추정하는 알고리즘에 대해서 기술한다. 본 실험에서는 잡음과 음성이 구별이 가능하도록 실험적으로 확인하였다.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2005년도 학술발표회(2)
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• pp.1285-1286
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• 2005

• 응용통계연구
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• 제26권2호
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• pp.335-347
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• 2013

다양한 분야에서 시그널(signal) 형태로 자료들이 표현된다. 예를 들면 심전도(electrocardiogram)는 심근에서 발생하는 활동 전류를 나타내는데, 심장의 박동에 따라 수축과 이완을 반복하는 과정을 시간에 따른 활동 전류량의 변동으로 나타낸다. 현실세계에서 측정하거나 관찰되는 시그널에는 다양한 형태의 시그널들이 혼합되어 있는 경우가 흔하다. 예를 들어 오케스트라 연주의 아름다운 선율은 고유한 주파수(frequency)를 지닌 악기들의 다양한 소리로 구성되어 있으며, 각기 다른 음조(note)가 하나로 모여 완벽한 하모니를 형성하게 된다. 시그널이 정상인(stationary) 경우에 혼합된 시그널들을 분해하여 분석하는 방법에 대해 현재까지 다양하게 연구되어 왔다. 자료가 비정상(non-stationary)일 경우에는 기존의 방법론들을 적용시키기에는 한계가 있다. 비정상성 자료를 다루기 위해 Huang 등 (1998)은 경험적 모드분해법(empirical mode decomposition)이라는 방법을 제안하였다. 자료에 내포되어 있는 국소적인 파동(oscillation)을 국소 극값들(local extrema)을 식별하여 자료 적응적으로 추출한다. 경험적 모드분해법은 잡음(error)에 의해 자료가 오염되어 있는 경우에는 국소 극값들을 통하여 국소적인 파동을 추정하기 어려우며, 자료의 크기가 커짐에 따라 계산량도 크게 늘어나는 단점 등이 있다. 본 연구에서는 이차 미분을 이용하여 국소적인 파동을 식별하고 추정하는 새로운 방법론을 제시하고자 한다.

• 전기학회논문지
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• 제63권8호
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• pp.1128-1133
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• 2014

Most of the statistical signal analysis processed in the time domain and the frequency domain are based on the assumption that the signal is weakly stationary(wide sense stationary). Therefore, it is necessary to know whether the surface EMG signals processed in the statistical basis satisfy the condition of the weak stationarity. The purpose of this study is to find optimal segment length of surface EMG signal for assessing stationarity with the modified Run-test and RA-test. Ten stationary surface EMG signals were simulated by AR(autoregressive) modeling, and ten real surface EMG signals were recorded from biceps brachii muscle and then modified to have non-stationary structures. In condition of varying segment length from 20ms to 100ms, stationarity of the signals was tested by using six different methods of modified Run-test and RA-test. The results indicate that the optimal segment length for the surface EMG is 30ms~35ms, and the best way for assessing surface EMG signal stationarity is the modified Run-test (Run2) method using this optimal length.

• Management Science and Financial Engineering
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• 제14권1호
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• pp.23-34
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• 2008

In this study, we consider stationary waiting times in a Poisson driven single-server m-node queues in series. We assume that service times at nodes are independent, and are either deterministic or non-overlapped. Each node excluding the first node has a finite waiting line and every node is operated under a FIFO service discipline and a communication blocking policy (blocking before service). By applying (max, +)-algebra to a corresponding stochastic event graph, a special case of timed Petri nets, we derive the explicit expressions for stationary waiting times at all areas, which are functions of finite buffer capacities. These expressions allow us to compute the performance measures of interest such as mean, higher moments, or tail probability of waiting time. Moreover, as applications of these results, we introduce optimization problems which determine either the biggest arrival rate or the smallest buffer capacities satisfying probabilistic constraints on waiting times. These results can be also applied to bounds of waiting times in more general systems. Numerical examples are also provided.

• 약학회지
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• 제33권2호
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• pp.129-139
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• 1989

New diamide chiral stationary phases of four systematically substituted optically active N-(N-benzoyl-L-amino acid)-anilide synthesized from L-valine, L-leucine, L-isoleucine, and L-phenylalanine were described. The behaviors of these diamides as optically active stationary phases for the separation of N-trifluoroacetyl-D,L-amino acids were examined with respect to separation factors(${\alpha}$) and thermodynamic properties of interaction. The separation of twelve N-trifluoroacetyl-D,L-amino acid isopropyl esters were improved by the order of N-(N-benzoyl-L-leucyl)-anilide>N-(N-benzoyl-L-isoleucyl)-anilide>N-(N-benzoyl-L-valyl)-anilide>N-(N-benzoyl-L-phenylalanyl)-anilide. Eight amino acid derivatives with non-polar R-group and threonine, serine, aspartic acid, and glutamic acid enantiomers were separated on N-(N-benzoyl-L-leucyl)-anilide as chiral stationary phase with good separation factor between 1.07-1.25. The separation factors decreased with respect to increasing column temperature. Possible working temperature of diamide phase was between $130-190^{\circ}C$ for N-(N-benzoyl-L-phenylalanyl)-anilide and $130-180^{\circ}C$ for other three diamide phases. The differential Gibb's free energy (${\Delta}{\Delta}G$) of enantiomers was in the range of -100--180 cal/mol for ten amino acids and -40--60 cal/mol for alanine and aspartic acid.

• 마케팅과학연구
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• 제16권1호
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• pp.13-26
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• 2006

본 연구에서는 안정적 NBD모형에 개별구매자들의 평균적 구매율 변화로 발생되는 임의의 불안정성이 개입하였는지를 체계적으로 검정하기 위한 방법을 개발하였다. 이를 위해 본 연구에서는 안정적 NBD모형에서 개별구매자들의 갖는 평균적 구매율이 임의의 불안정성의 영향으로 구조적 변화를 일으키는지에 대한 통계적 가설로부터 우도비를 도출하였다. 또한, 본 연구에서는 반복구매가 이루어지는 패널자료를 대상으로 개발된 ㅂ아법의 실증적 적합성을 살펴보았다. 본 연구의 결과는 NBD모형이 지니는 안정성의 가정을 극복할 수 있는 수단을 제공한다는 점, 마케팅환경의 변화를 조기에 감지함으로써 관련 환경변화에 신속히 대처할 수 있는 마케팅전략의 운용을 가능케 할 것이란 점, 특정 마케팅믹스전략의 효과측정에도 활용될 수 있다는 점 등을 기대할 수 있다.

• 천문학논총
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• 제30권2호
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• pp.605-607
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• 2015

The development of time-frequency analysis techniques allow astronomers to successfully deal with the non-stationary time series that originate from unstable physical mechanisms. We applied a recently developed time-frequency analysis method, the Hilbert-Huang transform (HHT), to two non-stationary phenomena: the superorbital modulation in the high-mass X-ray binary SMC X-1 and the quasi-periodic oscillation (QPO) of the AGN RE J1034+396. From the analysis of SMC X-1, we obtained a Hilbert spectrum that shows more detailed information in both the time and frequency domains. Then, a phase-resolved analysis of both the spectra and the orbital profiles was presented. From the spectral analysis, we noticed that the iron line production is dominated by different regions of this binary system in different superorbital phases. Furthermore, a pre-eclipse dip lying at orbital phase ~0:6-0:85 was discovered during the superorbital transition state. We further applied the HHT to analyze the QPO of RE J1034+396. From the Hilbert spectrum and the O-C analysis results, we suggest that it is better to divide the evolution of the QPO into three epochs according to their different periodicities. The correlations between the QPO periods and corresponding fluxes were also different in these three epochs. The change in periodicity and the relationships could be interpreted as the change in oscillation mode based on the diskoseismology model.

• 한국연안방재학회지
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• 제4권3호
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• pp.119-131
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• 2017

Global warming under the influence of climate change and its direct impact on glacial and sea level are known issue. However, there is a lack of research on an indirect impact of climate change such as coastal structure design which is mainly based on a frequency analysis of water level under the stationary assumption, meaning that maximum sea level will not vary significantly over time. In general, stationary assumption does not hold and may not be valid under a changing climate. Therefore, this study aims to develop a novel approach to explore possible distributional changes in annual maximum sea levels (AMSLs) and provide the estimate of design water level for coastal structures using a multiple non-crossing quantile regression based nonstationary frequency analysis within a Bayesian framework. In this study, 20 tide gauge stations, where more than 30 years of hourly records are available, are considered. First, the possible distributional changes in the AMSLs are explored, focusing on the change in the scale and location parameter of the probability distributions. The most of the AMSLs are found to be upward-convergent/divergent pattern in the distribution, and the significance test on distributional changes is then performed. In this study, we confirm that a stationary assumption under the current climate characteristic may lead to underestimation of the design sea level, which results in increase in the failure risk in coastal structures. A detailed discussion on the role of the distribution changes for design water level is provided.