• International Journal of Fuzzy Logic and Intelligent Systems
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• 제7권1호
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• pp.30-33
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• 2007

Park and Kim [4], Grabiec [1] studied a fixed point theorem in fuzzy metric space, and Vasuki [8] proved a common fixed point theorem in a fuzzy metric space. Park, Park and Kwun [6] defined the intuitionistic fuzzy metric space in which it is a little revised in Park's definition. Using this definition, Park, Kwun and Park [5] and Park, Park and Kwun [7] proved a fixed point theorem in intuitionistic fuzzy metric space. In this paper, we will prove a common fixed point theorem for a sequence of mappings in a intuitionistic fuzzy metric space. Our result offers a generalization of Vasuki's results [8].

• 한국환경과학회지
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• 제13권6호
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• pp.497-503
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• 2004

In this research, we have performed a T-test to see how the relationship between dependent variable or visual point level and independent variable or visual quantity is in order to clear up the correlation between pattern of visual point and visual quantity by the constituents of a view from a different visual point level and the results are as follows: 1) In case of the character of Mt. Uam landscape of the city, Uamsan is set as a fixed point and about a direction of view(D), the north is a datum point from which the range of direction is distributed within 1800 westwardly and the visual range(R) is also within 2000m. An elevation is an average of 7.40 and the average story of the buildings is 3.85. Here the height of a story is about 4m so the average of the visual point difference is estimated at 15.4m. 2) The type of visual point is divided into the intersection group and the front of the highly used public buildings group. Double intersection types account for about 78.80%(52 spots) which forms a majority part of LCP. 3) The analysis of the difference of visual point level divided by eye level and that of the top of the buildings has been proved that there's a sharp difference resulted from t-test at 1 % significant level. The significant difference of elevation from height difference(l5.93m), however, has not been shown. 4) From the result of T-test about visual quantity by the elements of a view from a different visual point level, the visual quantity of mountain(VQM), sky(VQS), ground(VQG) is significant at about 1% each and that of building(VQB) is at about 5%. The difference in visual quantity of a mountain by the visual point level is at about 4% which can meet a marginal level of LCP necessary for evaluation of mountainscape.

• 충청수학회지
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• 제37권1호
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• pp.1-17
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• 2024

The boundary conditions $\tilde{P}_0$ and $\tilde{P}_1$ were introduced in [5] by using the Hodge decomposition on the de Rham complex. In [6] the Atiyah-Bott-Lefschetz type fixed point formulas were proved on a compact Riemannian manifold with boundary for some special type of smooth functions by using these two boundary conditions. In this paper we slightly extend the result of [6] and give two examples showing these fixed point theorems.

• 대한수학회지
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• 제45권6호
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• pp.1725-1740
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• 2008

In this paper, we introduce a fixed point index of weakly inward 1-set-contraction mappings. With the aid of the new index, we obtain some new fixed point theorems, nonzero fixed point theorems and multiple positive fixed points for this class of mappings. As an application of nonzero fixed point theorems, we discuss an eigenvalue problem.

• 대한수학회논문집
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• 제20권4호
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• pp.775-779
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• 2005

On a compact n-dimensional manifold $M^n$, a critical point of the total scalar curvature functional, restricted to the space of metrics with constant scalar curvature of volume 1, satifies the critical point equation (CPE), given by $Z_g\;=\;s_g^{1\ast}(f)$. It has been conjectured that a solution (g, f) of CPE is Einstein. The purpose of the present paper is to prove that every compact stable minimal hypersurface is in a certain hypersurface of $M^n$ under an assumption that Ker($s_g^{1\ast}{\neq}0$).

• 한국습지학회지
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• 제25권2호
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• pp.75-82
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• 2023

하천의 유량 측정 자료는 수자원의 개발 및 유지, 하천 방재의 중요한 기초 자료로 이용되며, 홍수를 예측하고 예방하기 위해 홍수시 가장 정확하게 유량을 측정하는 것이 필요하다. 이에 미국지질조사국(USGS)은 오래전부터 기존의 간편 유속측정법으로 1점법, 2점법, 3점법을 제안하여 지금도 많이 사용하고 있으나, 보다 더 간편하고 신뢰할 수 있는 평균유속 산정 방법을 실무에서 요구하는 추세이나 이에 대한 이론적 기반의 실무 적용성 연구는 다소 미진한 상태이다. 이를 위하여 본 연구에서는 확률론적 엔트로피 컨셉을 활용하여 기존의 한계를 보완할 수 있는 실무 적용성이 용이한 간편 유속 산정식을 제안하였다. Coleman과 Flume 실측자료에 적용하여 식의 효용성을 입증하였다. 분석 결과, Flume Data의 경우, 실측값 대비 기존의 USGS 1점법은 평균 7.6%, 2점법은 8.6%, 3점법은 8.1%였다. Coleman Data의 경우, 1점법은 평균 5%, 2점법은 5.6%, 3점법은 5.3%의 오차율을 나타냈다. 반면에 엔트로피 개념을 활용한 제안식은 Flume Data는 실측값 대비 1점법은 평균 4.7%, 2점법은 5.7%, 3점법은 5.2%로 나타나 기존의 방법 대비 오차율을 약 60%정도 감소하는 것으로 나타났다. 또한, Coleman Data의 경우에서도 1점법은 평균 2.5%, 2점법은 3.1%, 3점법은 평균 2.8%의 오차를 보여, 기존의 방법 대비 오차율을 약 50%정도 줄이는 것으로 나타났다. 본 연구 결과에 의하면 기존의 1점법, 2점법, 3점법 보다 더 간편하면서 신뢰성 있는 평균유속을 산정할 수 있을 것으로 판단 된다. 하지만, 이는 향후 하천 설계, 운영관리, 특히 재난대비 예측관리 등 각종재난 대비 대응에 보다 유용하게 활용하려면 추가적으로 다양한 하천 실측을 통한 제안식의 지속적인 수정보완이 필요할 것으로 판단된다.

• The Korean Journal of Pain
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• 제23권4호
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• pp.242-246
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• 2010

Background: The first sacral nerve root block (S1NRB) is a common procedure in pain clinic for patients complaining of low back pain with radiating pain. It can be performed in the office based setting without C-arm. The previously suggested method of locating the needle entry point begins with identifying the posterior superior iliac spine (PSIS). Then a line is drawn between two points, one of which is 1.5 cm medical to the PSIS, and the other of which is 1.5 cm lateral and cephalad to the ipsilateral cornu. After that, one point on the line, which is 1.5 cm cephalad to the level of the PSIS, is considered as the needle entry point. The purpose of this study was to analyze the location of needle entry point and palpated PSIS in S1NRB. Methods: Fifty patients undergoing C-arm guided S1NRB in the prone position were examined. The surface anatomical relationships between the palpated PSIS and the needle entry point were assessed. Results: The analysis revealed that the transverse and vertical distance between the needle entry point and PSIS were $28.7{\pm}8.8mm$ medially and $3.5{\pm}14.0mm$ caudally, respectively. The transverse distance was $27.8{\pm}8.3mm$ medially for male and $29.5{\pm}9.3mm$ medially for female. The vertical distance was $1.0{\pm}14.1mm$ cranially for male and $8.1{\pm}12.7mm$ caudally for female. Conclusions: The needle entry point in S1NRB is located on the same line or in the caudal direction from the PSIS in a considerable number of cases. Therefore previous recommended methods cannot be applied to many cases.

• 대한수학회보
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• 제46권3호
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• pp.521-534
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• 2009

In this paper we present new large-update primal-dual interior point algorithms for $P_*$ linear complementarity problems(LAPS) based on a class of kernel functions, ${\psi}(t)={\frac{t^{p+1}-1}{p+1}}+{\frac{1}{\sigma}}(e^{{\sigma}(1-t)}-1)$, p $\in$ [0, 1], ${\sigma}{\geq}1$. It is the first to use this class of kernel functions in the complexity analysis of interior point method(IPM) for $P_*$ LAPS. We showed that if a strictly feasible starting point is available, then new large-update primal-dual interior point algorithms for $P_*$ LAPS have $O((1+2+\kappa)n^{{\frac{1}{p+1}}}lognlog{\frac{n}{\varepsilon}})$ complexity bound. When p = 1, we have $O((1+2\kappa)\sqrt{n}lognlog\frac{n}{\varepsilon})$ complexity which is so far the best known complexity for large-update methods.

• 품질경영학회지
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• 제17권2호
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• pp.101-112
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• 1989

We investigate a procedure which detects the parameter change point in AR(1) by Bayesian Approach using Jeffrey prior, for example, coefficient change point, variance change point, coefficient and variance change point, etc. And we apply our procedure to the simulated data.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권1호
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• pp.25-34
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• 2023

Popa [14] proved the common fixed point theorem using implicit relations. Saluja [17] proved a fixed point theorem on complete partial metric spaces satisfying an implicit relation. In this paper, we prove a fixed point theorem on complete partial metric space satisfying another implicit relation.