• Journal of the Korean Mathematical Society
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• v.56 no.1
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• pp.149-167
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• 2019

In this work, we study the existence, uniqueness and stability in the ${\alpha}$-norm of solutions for some stochastic partial functional integrodifferential equations. We suppose that the linear part has an analytic resolvent operator in the sense given in Grimmer [8] and the nonlinear part satisfies a $H{\ddot{o}}lder$ type condition with respect to the ${\alpha}$-norm associated to the linear part. Firstly, we study the existence of the mild solutions. Secondly, we study the exponential stability in pth moment (p > 2). Our results are illustrated by an example. This work extends many previous results on stochastic partial functional differential equations.

• Communications of the Korean Mathematical Society
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• v.21 no.3
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• pp.451-464
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• 2006

In this paper, a sharp inequality for some multilineal singular integral operators are obtained. As the applications, we get the weighted $L^p(p>1)$ norm inequalities and L log L type estimate for the multilinear operators.

• Journal of Oriental Neuropsychiatry
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• v.23 no.3
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• pp.89-98
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• 2012

Objectives : This study aims to assess the effects of incense smokes of 'Cheung-Woon'(consists of several kind of herbal powder) on autonomic nervous system activity and attention in healthy individuals. Methods : A total of 48 healthy volunteers participated in this study. The volunteers were examined with heart rate variability (HRV) before and after incense smokes inhalation of 'Cheung-Woon'. HRV measured the mean RR, mean HR, SDNN, VLF, LF, HF, TP, norm LF, norm HF, and LF/HF ratio. 'Cheung-Woon' consists of 7 herbal powders, known for useful effect on attention. Results : After inhalation smokes of 'Cheung-Woon', the mean RR, and mean HR were decreased and SDNN, VLF, LF, TP were increased, but it's not significant. Further, HF, and norm HF were decreased, and LF/HF ratio, and norm LF was increased significantly (p<0.01). Conclusions : This results (Ed note: 'this result' or 'these results') show that incense smokes inhalation of 'Cheung-Woon' is an effective way of decreasing parasympathetic nervous activity and increasing sympathetic activity and attention.

• Journal of Acupuncture Research
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• v.25 no.1
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• pp.15-23
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• 2008

Objectives : The aim of our study was to demonstrate the clinical application of a diagnosis relating the 7-zone-diagnostic system and heart rate variability. Materials and Methods : Subjects were divided into two groups according to the factor AA form of the 7-zone-diagnostic system(VEGA-DFM722, VEGA, Germany). Subjects in group A showed a factor-AA red bar graph in which zone 2 was higher than the normal range, and zone 6 was lower than the normal range. Subjects in group B showed a factor-AA red bar graph in which zone 2 was lower than the normal range, and zone 6 was higher than the normal range. We investigated how to differentiate the index of heart-rate variability(HRV, LX-3202, LAXTHA, Korea) for each group. We did independent sample t-tests and evaluated the results of the HRV at the 5% significance level using SPSS 10.0 for Windows. Results : The differences of the MeanRR, MeanHRV, SDNN, complexity, HRV-index, RMSSD, SDSD, and pNN50 values between the groups was not significant. The differences of the Ln(TP), Ln(VLF), Ln(HF), LF/(LF+HF), LF/HF, norm LF, and norm HF values between the groups was also not significant. The differences were not significant, but generally the values of SDNN, complexity, RMSSD, SDSD, Ln(VLF), Ln(HF) and norm LF for group B were higher than those for group A, and the values of pNN50 and norm HF for group B were lower than those for group A. Conclusions : This study suggests that differences in the HRV values between the groups was not significant, but group B has a tendency to be healthier than group A because of stress. Accordingly, further study will be required.

• Journal of the Korean Society for information Management
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• v.19 no.1
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• pp.47-69
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• 2002

The concept based retrieval model has shown a higher performance than those of the simple matching function method or the P-norm retrieval method introduced to compensate the demerits of the Boolean retrieval model. However. it takes too long to create a semantic-net knowledge base, which is essential in concept exploration. In order to solve such demerits. a method was sought out by creating a distributed knowledge base by subjects to reduce construction time without hindering the performance of retrieval.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2001.12a
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• pp.23-26
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• 2001

순수한 부울 검색 시스템은 문서와 질의 사이의 유사도를 나타내는 문서값을 계산할 수 없기 때문에, 검색된 문서들을 질의를 만족하는 정보에 따라 정렬할 수 없다. 부울 검색 시스템의 이러한 단점을 보완하는 방법으로 MMM 모델, Paice 모델, p-norm 모델이 개발되었다. 본 논문에서는 높은 검색 효과를 제공하는 벡터모델에서 용어 가중치 재부여를 이용한 정보검색 모델을 제안한다. 벡터모델에서 용어 가중치 재부여를 이용한 질의 확장 모델의 연산 특성이 MMM, Paice, p-norm 모델보다 우수함을 설명하고, 또한 성능 비교를 통하여 이를 입증한다.

• Bulletin of the Korean Mathematical Society
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• v.47 no.4
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• pp.777-785
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• 2010

Let X be a linear space and Y be a complete quasi p-norm space. We will show that for each function f : X $\rightarrow$ Y, which satisfies the inequality ${\parallel}{\Delta}_x^nf(y)\;-\;n!f(x){\parallel}\;{\leq}\;\varphi(x,y)$ for suitable control function $\varphi$, there is a unique monomial function M of degree n which is a good approximation for f in such a way that the continuity of $t\;{\mapsto}\;f(tx)$ and $t\;{\mapsto}\;\varphi(tx,\;ty)$ imply the continuity of $t\;{\mapsto}\;M(tx)$.

• Communications of the Korean Mathematical Society
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• v.10 no.1
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• pp.207-213
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• 1995

Let $(\Omega, F, P)$ be a probability space with F a $\sigma$-algebra of subsets of the measure space $\Omega$ and P a probability measure on $\Omega$. Suppose $a > 0$ and let $(F_t)_{t \in [0,a]}$ be an increasing family of sub-$\sigma$-algebras of F. If $r > 0$, let $J = [-r,0]$ and $C(J, R^n)$ the Banach space of all continuous paths $\gamma : J \to R^n$ with the sup-norm $\Vert \gamma \Vert = sup_{s \in J}$\mid$\gamma(s)$\mid$$ where $$\mid$\cdot$\mid$$ denotes the Euclidean norm on $R^n$. Let E,F be separable real Banach spaces and L(E,F) be the Banach space of all continuous linear maps $T : E \to F$.

• Journal of Integrative Natural Science
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• v.11 no.3
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• pp.154-160
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• 2018

Consider the problem of estimating a $p{\times}1$ mean vector ${\theta}(p-r{\geq}3)$, r = rank(K) with a projection matrix K under the quadratic loss, based on a sample $Y_1$, $Y_2$, ${\cdots}$, $Y_n$. In this paper a James-Stein type estimator with shrinkage form is given when it's variance distribution is specified and when the norm ${\parallel}{\theta}-K{\theta}{\parallel}$ is constrain, where K is an idempotent and symmetric matrix and rank(K) = r. It is characterized a minimal complete class of James-Stein type estimators in this case. And the subclass of James-Stein type estimators that dominate the sample mean is derived.

• Journal of the Korean Institute of Intelligent Systems
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• v.11 no.9
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• pp.811-816
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• 2001

정보 검색 시스템의 중요한 목적중의 하나는 단순히 사용자 질의를 만족하는 문서들의 집합을 검색하는 것이 아니라, 질의를 만족하는 정도에 따라 검색된 문서들에 순위를 부여함으로써 사용자들이 필요한 정보를 얻는데 소모되는 시간을 최소화시키는 것이다. 순수한 부울 검색 시스템은 검색 전략이 이진값에 근거하여 순위 구분 없이 연관/비연관 중의 하나로 결정된다. 딸서 문서와 질의 사이의 유사도를 나타내는 문서값을 계산할 수 없기 때문에, 검색된 문서들을 질의를 만족하는 정보에 따라 정렬할 수 없다. 부울 검색 시스템의 이러한 단점을 보완하는 방법으로 MMM 모델, Paice 모델, P-norm 모델이 개발되었다. 본 논문에서는 높은 검색 효과를 제공하는 백터모델에서 용어 가중치 재부여를 이용한 정보검색 모델을 제안한다. 벡터모델에서 용어 가중치 재부여를 이용한 질의 확장 모델의 연산 특성이 MMM, Paice, P-norm 모델보다 우수함을 설명하고, 또한 성능 비교를 통하여 이를 입증한다.