• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권1호
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• pp.1-5
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• 2018

It is proved that 'maximum' is actually attained in the following risk measure representation $${\rho}_m(X)={max \atop Q{\in}Q_m}E_Q[-X]$$.

• 대한수학회논문집
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• 제34권1호
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• pp.213-230
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• 2019

We construct new metric outer measures (multifractal analogues of the Hewitt-Stromberg measure) $H^{q,t}_{\mu}$ and $P^{q,t}_{\mu}$ lying between the multifractal Hausdorff measure ${\mathcal{H}}^{q,t}_{\mu}$ and the multifractal packing measure ${\mathcal{P}}^{q,t}_{\mu}$. We set up a necessary and sufficient condition for which multifractal Hausdorff and packing measures are equivalent to the new ones. Also, we focus our study on some regularities for these given measures. In particular, we try to formulate a new version of Olsen's density theorem when ${\mu}$ satisfies the doubling condition. As an application, we extend the density theorem given in [3].

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제23권4호
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• pp.377-383
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• 2016

The set of priors in the representation of coherent risk measure is expressed in terms of quantile function and increasing concave function. We show that the set of prior, $\mathcal{Q}_c$ in (1.2) is equal to the set of $\mathcal{Q}_m$ in (1.6), as maximal representing set $\mathcal{Q}_{max}$ defined in (1.7).

• 한국산업정보학회논문지
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• 제14권5호
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• pp.187-195
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• 2009

결점나무 분석에서 불확실설 중요도 측도는 basic event 확률 ($q_i$)의 불확실성이 top event 확률 (Q)의 불확실성에 얼마나 많이 기여하는지를 나타내는 측도로서, top event 확률의 불확실성을 감소시키기 위하여 어떤 basic event 확률의 불확실성을 감소시키는 것이 효과적인지를 밝히는데 사용된다. $q_i$의 분산 $\upsilon_i$가 백분율 단위로 한 단위 변화될 때 Q의 분산 V의 변화량을 평가하는 측도가 불확실성 중요도 측도로서 많은 저자들에 의해 제안되었으며, 이 측도를 계산하기 위해서는 V와 ${\partial}V/{\partial}{\upsilon}_i$를 해석적인 방법이나 몬테칼로 시뮬레이션을 사용하여 계산해야 한다. 그러나 대규모 결점나무에 대해서 V와 ${\partial}V/{\partial}{\upsilon}_i$를 해석적인 방법으로 계산하는 것은 매우 복잡하며, 몬테칼로 시뮬레이션을 사용하여 V와 ${\partial}V/{\partial}{\upsilon}_i$의 안정적인 추정치를 얻는 것은 매우 어렵다. 본 연구에서는 불확실성 중요도 측도를 실험적인 방법을 이용하여 평가하기 위한 방법을 제안한다. 제안된 방법은 몬테칼로 시뮬레이션을 이용하는 방법에 비해 계산량이 매우 적으며, 불확실성 중요도의 안정적 인 추정치를 제공한다.

• 성인간호학회지
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• 제26권5호
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• pp.522-532
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• 2014

Purpose: This study's purpose is to classify and analyze caregivers' recognition of the elderly suicidal intents. Methods: This study uses applied Q-methodology to measure human subjectivity in depth. Concretely, 35 statements are composed in depth interviews and literature investigation. Then, Q-cards and distributive chart of Q-sampling were given to 25 caregivers randomly-selected, who were asked to arrange them on a 7-score based. After coding Q-factor analysis is carried out with the PC-QUANL program. Results: Four types of indicators of the elderly suicidal intents were identified by the caregivers. These are Knowledge-based recognition, Behavioral measure based recognition, Negative comprehension and Sympathy. Conclusion: In this study, four types of recognition were yielded among the caregivers and the characteristics of each type were analyzed. These findings may be useful in assessing suicidal potential and nursing interventions.

• 한국정보시스템학회지:정보시스템연구
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• 제17권3호
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• pp.25-37
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• 2008

In a fault tree analysis, an uncertainty importance measure is often used to assess how much uncertainty of the top event probability (Q) is attributable to the uncertainty of a basic event probability ($q_i$), and thus, to identify those basic events whose uncertainties need to be reduced to effectively reduce the uncertainty of Q. For evaluating the measures suggested by many authors which assess a percentage change in the variance V of Q with respect to unit percentage change in the variance $v_i$ of $q_i$, V and ${\partial}V/{\partial}v_i$ need to be estimated analytically or by Monte Carlo simulation. However, it is very complicated to analytically compute V and ${\partial}V/{\partial}v_i$ for large-sized fault trees, and difficult to estimate them in a robust manner by Monte Carlo simulation. In this paper, we propose a method for evaluating the measure using discretization technique and Monte Carlo simulation. The proposed method provides a stable uncertainty importance of each basic event.

• 대한수학회지
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• 제33권4호
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• pp.763-775
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• 1996

For $Q = [0,S] \times [0,T]$ let C(Q) denote Yeh-Wiener space, i.e., the space of all real-valued continuous functions x(s,t) on Q such that x(0,t) = x(s,0) = 0 for every (s,t) in Q. Yeh [10] defined a Gaussian measure $m_y$ on C(Q) (later modified in [13]) such that as a stochastic process ${x(s,t), (s,t) \epsilon Q}$ has mean $E[x(s,t)] = \smallint_{C(Q)} x(s,t)m_y(dx) = 0$ and covariance $E[x(s,t)x(u,\upsilon)] = min{s,u} min{t,\upsilon}$. Let $C_\omega \equiv C[0,T]$ denote the standard Wiener space on [0,T] with Wiener measure $m_\omega$. Yeh [12] introduced the concept of the conditional Wiener integral of F given X, E(F$\mid$X), and for case X(x) = x(T) obtained some very useful results including a Kac-Feynman integral equation.

• 충청수학회지
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• 제28권2호
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• pp.251-259
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• 2015

Let $\mathbb{F}^d_q$ be a d-dimensional vector space over a finite field $\mathbb{F}^d_q$ with q elements. We endow the space $\mathbb{F}^d_q$ with a normalized counting measure dx. Let ${\sigma}$ be a normalized surface measure on an algebraic variety V contained in the space ($\mathbb{F}^d_q$, dx). We define the restricted averaging operator AV by $A_Vf(X)=f*{\sigma}(x)$ for $x{\in}V$, where $f:(\mathbb{F}^d_q,dx){\rightarrow}\mathbb{C}$: In this paper, we initially investigate $L^p{\rightarrow}L^r$ estimates of the restricted averaging operator AV. As a main result, we obtain the optimal results on this problem in the case when the varieties V are any nondegenerate algebraic curves in two dimensional vector spaces over finite fields. The Fourier restriction estimates for curves on $\mathbb{F}^2_q$ play a crucial role in proving our results.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2002년도 추계학술대회 논문집 Vol.15
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• pp.111-115
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• 2002

To understand the discharge characteristics in AC-PDP, it is necessary to study on the wall charge behavior. But, it is difficult to measure the wall charge directly. In this paper, the V-Q Lissajous' figure is used to measure the wall charge indirectly and analyze the wall charge behavior. With the V-Q Lissajous' figure, the discharge characteristics of AC-PDP are studied according to vary driving conditions, such as the frequency, pulse duty ratio, and rising & falling time. As a result, the V-Q Lissajous' figure is used to measure the discharge characteristics of the AC-PDP. It is confirmed that firing initial voltage and firing final voltage for discharge are effected by the aboved variables. Related with the wall voltage generation, it is thought that the difference of the slope at the V-Q Lissajous' figure is caused by charged ions inside the dielectric layer.

• 충청수학회지
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• 제33권1호
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• pp.147-156
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• 2020

The functional equation related to a distance measure f(pr, qs) + f(ps, qr) = M(r, s)f(p, q) + M(p, q)f(r, s) can be generalized a sum form functional equation as follows $${\frac{1}{n}}{\sum\limits_{i=0}^{n-1}}f(P{\cdot}{\sigma}_i(Q))=M(Q)f(P)+M(P)f(Q)$$ where f, g is information measures, P and Q are the set of n-array discrete measure, and σ_i is a permutation for each i = 0, 1, ⋯, n-1. In this paper, we obtain the hyperstability of the above type functional equation.