• 대한치과의사협회지
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• 제57권8호
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• pp.448-455
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• 2019

This study aims to apply the Generalizability Theory (G-theory) for estimation of reliability of evaluation scores between raters on Patient Dentist Interaction. Selecting a number of raters as multiple error sources, this study was analyzed the error sources caused by relative magnitude of error variances of interaction between the factors and proceeded with D-study based on the results of G-study for optimal determination of measurement condition. The estimated outcomes of variance component for accuracy among the Patient Dentist Interaction evaluation with G-theory showed that impact of error was the biggest influence factor in students. The second influence was the item effect, and the rater effect was relatively small. The Generalizability coefficients for case1 and case2 which were estimated through the D- study were calculated relatively low.

• 한국수학사학회지
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• 제27권1호
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• pp.59-66
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• 2014

This interdisciplinary study explores G$\ddot{o}$del's hermeneutics of the relationship between relativity theory and idealistic philosophy in terms of time. For G$\ddot{o}$del, Einstein's contribution to the physical realization of idealistic philosophy would be remarkable. We start with a historical background around G$\ddot{o}$del's paper for Einstein(1949a). From the perspective of G$\ddot{o}$del's cosmology, the second part addresses the relative nature of time, and the next then investigates the rotating model of universes. G$\ddot{o}$del's own results show that the temporal conditions of relativity and idealistic philosophy are satisfiable in the mathematical model of rotating universes. Thus, it could be asserted to travel into any region of the past, present or future, and back again.

• 한국지반환경공학회 논문집
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• 제4권2호
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• pp.57-64
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• 2003

좁고 길게 굴착된 고랑형태의 되메움 지반의 토압에 관한 해석에 널리 사용되어져 오던 Marston(1913), Spangller(1982) 이론은 R.L. Handy(1985)가 굴착벽면과 되메움 흙과의 상호작용에 의한 최소주응력의 고리를 연결한 최소주응력 아치로서 표현함으로 보다 명확한 설명이 가능하게 되었다. 이후 C.G. Kellogg(1993)는 지금까지 주로 수직하게 대칭된 공간만을 대상으로 논의 되오던 되메움 공간형태를 경사지게 대칭된 공간형태에 대하여 연구를 확장하였다. 발표된 C.G. Kellogg(1993) 이론식은 이론식의 도출 과정에 있어 경사 벽면의 마찰저항이 아닌 경사단면 저부에서 연직한 되메움 흙 자체의 내부 마찰의 크기로서 가정하였다. 본 연구는 C.G. Kellogg가 적용한 경사단면 저부에서 연직한 면의 마찰저항은 경사진 단면에서의 마찰저항과는 다른 크기를 갖을 것이며 이 크기는 토압 산출에 영향을 미칠것으로 판단되어 이를 실내모형 토조실험, C.G Kellogg(1993) 이론식, 수치해석, 실제 경사벽면에 미치는 마찰저항을 고려한 수정된 C.G. Kellogg 이론식으로 규명하고자 하였다.

• 대한수학회지
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• 제37권4호
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• pp.645-655
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• 2000

We calculate the R(G)-algebra structure on the reduced equivariant K-groups of two-dimensional spheres on which a compact Lie group G acts as a reflection. In particular, the reduced equivariant K-groups are trivial if G is abelian, which shows that the previous Y. Yang's calculation in [8] is incorrect.

• 대한수학회지
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• 제32권2호
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• pp.171-181
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• 1995

Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps $f,g: X \longrightarrow Y$. For this purpose the so-called Nielsen number N(f,g) is introduced, which is a lower bound for the number of coincidences ([1]). The relative Nielsen number N(f : X,A) in the fixed point theory is introduced in [3], which is a lower bound for the number of fixed points for all maps in the relative homotopy class of f:(X,A) $\longrightarrow$ (X,A), and its estimation is given in [5].

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제12권6호
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• pp.2697-2710
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• 2018

Owing to the development of Internet of Things (IoT), the fifth-generation (5G) wireless communication is going to foresee a substantial increase of mobile traffic demand. Energy efficiency and spectral efficiency are the challenges in a 5G network. Non-orthogonal multiple access (NOMA) is a promising technique to increase the system efficiency by adaptive power control (PC) in a 5G network. This paper proposes an efficient PC scheme based on evolutionary game theory (EGT) model for uplink power-domain NOMA system. The proposed PC scheme allows users to adaptively adjusts their transmit power level in order to improve their payoffs or throughput which results in an increase of the system efficiency. In order to separate the user signals, a successive interference cancellation (SIC) receiver installed at the base station (BS) site. The simulation results demonstrate that the proposed EGT-based PC scheme outperforms the traditional game theory-based PC schemes and orthogonal multiple access (OMA) in terms of energy efficiency and spectral efficiency.

• Journal of the Korean Data and Information Science Society
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• 제27권2호
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• pp.395-407
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• 2016

본 연구는 G-Theory를 적용하여 태권도 품새 평가항목에 대한 채점자 간 평가점수의 신뢰도를 추정하기 위해 G-연구로 경기일 수, 채점자 수를 다중오차원으로 선정하고 이들 변인간의 상호작용으로 인한 오차변량의 상대적 크기에 의해 오차원을 분석하고, G-연구의 결과를 토대로 D-연구를 수행하여 최적의 측정조건을 결정하는 데 목적이 있다. 결과를 요약하면 다음과 같다. G-Theory를 적용하여 태권도 품새 평가항목 중 정확성에 대해 분산성분 추정치를 추정한 결과, 오차의 영향력은 채점자국면에서 가장 크게 나타났으며, 각 설계에 따른 상호효과 (피험자 내), 피험자 간 순서였으며, 표현성 평가항목에 대한 분산성분 추정치 오차의 영향력은 상호효과 (피험자 내)국면에서 가장 크게 나타났으며, 각 설계에 따른 피험자 간, 채점자 국면 순으로 나타났다. 마지막으로 D-연구를 통하여 일반화가능도계수를 추정한 결과, 채점자 수에 따른 최적수준의 측정조건은 정확성 평가항목에서 8명의 채점자일 때 안정적인 신뢰도를 얻을 수 있으며, 표현성 평가항목에서는 7명의 채점자일 때 안정적인 신뢰도를 얻었다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제7권2호
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• pp.83-94
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• 2003

Let K be a nonempty closed convex subset of a real Hilbert space H. Approximation solvability of a system of nonlinear variational inequality (SNVI) problems, based on the convergence of projection methods, is given as follows: find elements $x^*,\;y^*{\in}H$ such that $g(x^*),\;g(y^*){\in}K$ and $$<\;{\rho}T(y^*)+g(x^*)-g(y^*),\;g(x)-g(x^*)\;{\geq}\;0\;{\forall}\;g(x){\in}K\;and\;for\;{\rho}>0$$ $$<\;{\eta}T(x^*)+g(y^*)-g(x^*),\;g(x)-g(y^*)\;{\geq}\;0\;{\forall}g(x){\in}K\;and\;for\;{\eta}>0,$$ where T: $H\;{\rightarrow}\;H$ is a relaxed $g-{\gamma}-r-cocoercive$ and $g-{\mu}-Lipschitz$ continuous nonlinear mapping on H and g: $H{\rightarrow}\;H$ is any mapping on H. In recent years general variational inequalities and their algorithmic have assumed a central role in the theory of variational methods. This two-step system for nonlinear variational inequalities offers a great promise and more new challenges to the existing theory of general variational inequalities in terms of applications to problems arising from other closely related fields, such as complementarity problems, control and optimizations, and mathematical programming.

• Bulletin of the Korean Chemical Society
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• 제35권8호
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• pp.2311-2316
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• 2014

Conformations and vibrational frequencies of the racemic (2RS,3RS)-5-amino-3-(4-phenylpiperazin-1-yl)-1,2,3,4-tetrahydronaphthalen-2-ol-(I) [(2RS,3RS)-(I)], a precursor of benzovesamicol analogues, have been carried out using various DFT methods (M06-2X, B3LYP, B3PW91, PBEPBE, LSDA, and B3P86) with basis sets of 6-31G(d), 6-31+G(d,p), 6-311+G(d,p), 6-311++G(d,p), cc-pVTZ, and TZVP. The LSDA/6-31G(d) level of theory shows the best performance in reproducing the X-ray powder structure. However, the PBEPBE/cc-pVTZ level of theory is the best method to predict the vibrational frequencies of (2RS,3RS)-(I). The potential energy surfaces of racemic pairs (2RS,3RS)-(I) and -(II) are obtained at the LSDA/6-31G(d) level of theory in the gas phase and in water. The results indicate that (2RS,3RS)-(I) are more stable by ~0.75 kcal/mol in energy than (2RS,3RS)-(II) in water, whereas conformer AIIg and BIIg are more stable by ~0.04 kcal/mol than AIg in gas phase. In particular, the hydrogen bond distances between the N of piperazine and the OH of tetrahydronaphthalen become longer in gas, compared with those in the water phase. Vibrational frequencies calculated at the PBEPBE/cc-pVTZ level of theory in the gas phase are larger than those in water, whereas their intensities in the gas phase are weaker than those in water.

• 대한수학회보
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• 제29권1호
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• pp.153-163
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• 1992

Carlitz module is used to study abelian extensions of K=$F_{q}$(T). In number theory every abelian etension of Q is contained in a cyclotomic field. Similarly every abelian extension of $F_{q}$(T) with some condition on .inf. is contained in a cyclotomic function field. Hence the study of cyclotomic function fields in analogy with cyclotomic fields is an important subject in number theory. Much are known in this direction such as ring of integers, class groups and units ([G], [G-R]). In this article we are concerned with the ring of integers in a cyclotomic function field. In [G], it is shown that the ring of integers is generated by a primitive root of the Carlitz module using the ramification theory and localization. Here we will give another proof, which is rather elementary and explicit, of this fact following the methods in [W].[W].