• 대한수학회지
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• 제45권4호
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• pp.965-976
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• 2008

In this article, we constructively prove that on a surface S with genus g$\geq$2, there exit maximal geodesic laminations with 7g-7,...,9g-9 leaves. Thus, S can have ideal cell-decompositions (i.e., S can be (ideally) triangulated by maximal geodesic laminations) with 7g-7,...,9g-9 (ideal) 1-cells. Once there is a triangulation for a compact surface, the Euler characteristic for the surface can be calculated as the alternating sum F-E+V, where F, E, and V denote the number of faces, edges, and vertices, respectively. We also prove that the same formula holds for the ideal cell decompositions.

• 대한수학회논문집
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• 제31권3호
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• pp.591-601
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• 2016

Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo et al. [9]. Some interesting special cases of our main results are also considered.

• 대한수학회보
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• 제56권1호
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• pp.265-276
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• 2019

For a simple implementation, a linear convex splitting scheme was coupled with the Fourier spectral method for the Cahn-Hilliard equation with a logarithmic free energy. However, an inappropriate value of the splitting parameter of the linear scheme may lead to incorrect morphologies in the phase separation process. In order to overcome this problem, we present a nonlinear convex splitting Fourier spectral scheme for the Cahn-Hilliard equation with a logarithmic free energy, which is an appropriate extension of Eyre's idea of convex-concave decomposition of the energy functional. Using the nonlinear scheme, we derive a useful formula for the relation between the gradient energy coefficient and the thickness of the interfacial layer. And we present numerical simulations showing the different evolution of the solution using the linear and nonlinear schemes. The numerical results demonstrate that the nonlinear scheme is more accurate than the linear one.

• 대한전자공학회논문지SP
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• 제42권5호
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• pp.145-156
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• 2005

적응 음향반향 제거나 적응 등화와 같은 응용에서 입력신호의 상관도는 매우 높고 긴 길이의 적응 필터가 필요하다. 이러한 응용에서 인접투사 알고리즘은 좋은 수렴성능을 보이지만 적응 필터의 계수갱신을 위한 많은 계산량 문제로 하드웨어 구현이 복잡한 단점이 있다. 본 논문에서는 개선된 수렴속도와 계산량을 줄일 수 있는 새로운 부밴드 인접투사 알고리즘과 간단한 구현을 위한 방법을 제안한다. 이 방법에서는 인접투사 알고리즘에 다위상 분해, 노블아이덴티티 그리고 임계 데시메이션을 적용, 상관도 제거를 위해 사용되는 입력 신호 벡터의 수(적응필터의 투사차원)를 줄일 수 있다. 제안한 방법의 적응필터 계수 갱신식은 투사차원의 감소에 의해 NLMS 알고리즘과 비교될 만큼 간단한 형태로 유도된다. 제안한 방법의 효율을 상관도가 높은 입력신호를 사용하여 실험을 통해 평가하였다.

• 융합신호처리학회논문지
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• 제12권1호
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• pp.20-25
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• 2011

부밴드 구조에서 투사차원이 P인 전밴드 인접투사 적응필터는 최대 군위상 분해와 노블아이덴티티를 적용함으로써 P개의 적응 부필터로 분해된다. 각각의 적용 부필터는 투사차원이 1인 간단한 계수 갱신식을 갖게 된다. 이러한 부밴드 분해기법은 구현관점에서 가장 실용적인 해법 중 하나이다. 많은 응용에서 활용을 위해 MPDSAP 적응 필터의 최적 스텝사이즈 해석이 필요하다. 본 논문은 MPDSAP 적응 필터의 MSE에 대한 개선된 해석 모델을 제안하고 초기 최적 스텝사이즈를 유도한다. 컴퓨터 시뮬레이션을 통해 MSE의 개선된 해석 모텔과 유도된 최적 초기 스텝사이즈에 대해 이론과 실험적 결과 사이의 일치함을 확인하였다.

• 한국시뮬레이션학회논문지
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• 제33권1호
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• pp.19-26
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• 2024

단계형 확률분포는 마코프 체인이 특정 상태로 흡수되는 시점까지 거쳐가는 여러 단계에서 체재하는 시간들의 합으로 정의되며 대기행렬 시스템과 신뢰성 분석 모형 등에 광범위하게 사용된다. 연속적 단계형 분포의 경우 흡수 상태로 진입하기까지 거쳐가는 각각의 단계에서의 체재 시간이 지수분포를 따르므로 연속적 단계형 분포는 다양한 지수분포들의 합 또는 볼록 결합으로 나타낼 수 있다. 단계형 분포를 생성하는 가장 일반적이면서도 직관적인 방법은 마코비안 표현방법이라 불리는 초기 확률벡터와 전이 생성행렬에 의해 주어지는 조건부 확률을 이용하는 것이다. 적률이 주어진 상황에서 단계형 변수를 생성하는 방법에 대한 기존의 연구들은 대부분 적률을 마코비안 표현방법으로 변환하는 것을 전제로 하고 있다. 본 연구에서는 적률을 마코비안 표현방법으로 변환하지 않고 확률 분포함수를 결정하여 단계형 확률변수를 생성하는 방법에 대해 살펴보고 마코프 표현을 사용하는 기존의 방법 대신에 조단 분해법과 최소 표현 라플라스 변환을 이용하여 2계 단계형 확률변수를 분포함수를 결정하는 공식과 절차를 제시한다. 이러한 접근 방법은 고차원의 단계형 확률분포를 이용하여 대기행렬의 시뮬레이션을 하는 경우에 마코비안 표현방법의 전이행렬을 결정하여 변수를 생성하는 경우보다 효율적이다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제14권5호
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• pp.2141-2155
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• 2020

In order to meet the requirements of background change, illumination variation, moving shadow interference and high accuracy in object detection of moving camera, and strive for real-time and high efficiency, this paper presents an object detection algorithm based on sparse approximation recursion and sparse coding migration in subspace. First, low-rank sparse decomposition is used to reduce the dimension of the data. Combining with dictionary sparse representation, the computational model is established by the recursive formula of sparse approximation with the video sequences taken as subspace sets. And the moving object is calculated by the background difference method, which effectively reduces the computational complexity and running time. According to the idea of sparse coding migration, the above operations are carried out in the down-sampling space to further reduce the requirements of computational complexity and memory storage, and this will be adapt to multi-scale target objects and overcome the impact of large anomaly areas. Finally, experiments are carried out on VDAO datasets containing 59 sets of videos. The experimental results show that the algorithm can detect moving object effectively in the moving camera with uniform speed, not only in terms of low computational complexity but also in terms of low storage requirements, so that our proposed algorithm is suitable for detection systems with high real-time requirements.

• 한국수산과학회지
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• 제27권5호
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• pp.605-612
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• 1994

The methods to determine the hydrodynamic coefficients for the fixed type artificial reefs which were constructed to control ecological system in coastal waters are compared and discussed by model test results. To calculate the wave forces, least square method show good agreement with the experimental results and more stability than maximum force component method or Fourier decomposition method. This modified least square method of weighting the square of measured force turned out to be the most feasible method for maximum force. Using the feasible method, hydrodynamic characteristics for artificial reefs on uniform slopes offshore and breaking zone were studied. They were properly related to Keulegan-Carpenter's number and found larger than previous results. Wave force coefficients for artificial reefs around breaking zone were distributed from 1.5 to 2.5, and the mean value was 2.0. Drag force components were more in evidence than inertia force in maximum force which is important parameter to evaluate stability for high-permeability structures. A formula for the calculation of the maximum force for artificial reefs design is proposed, using structural dimension, water particle velocity and Keulegan-Carpenter's number.

• Journal of Industrial and Engineering Chemistry
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• 제68권
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• pp.153-160
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• 2018

An environmentally favorable (chlorine-free) solid oxidizer, guanidinium dinitramide [GDN; $NH_2C(NH_2)NH_2N(NO_2)_2$], was newly synthesized from guanidine carbonate [$NH_2C(=NH)NH_2{\cdot}1/2H_2CO_3$]. Two different crystalline forms (${\alpha}-type$ and ${\beta}-type$) appeared according to the applied solvents and synthesis conditions. Moisture, during extraction, might become trapped in a crystal between inner molecules. Therefore, despite having the same chemical composition, Raman-IR and TGA-DSC revealed different physical characteristics of the two forms. Peaks of Raman shift near $1000cm^{-1}$ implied different chemical structures. Thermal analysis revealed an exothermic temperature $155.7^{\circ}C$ for ${\alpha}-type$ but one of $191.6^{\circ}C$ for ${\beta}-type$. The caloric value of ${\alpha}-type$ was 536.4 J/g, which was 2.5 times larger than that of the ${\beta}-type$, which was 1310 J/g. While the synthesized GDN of ${\alpha}-type$ showed a steep exothermic decomposition, the ${\beta}-type$ was slowly decomposed after melting through an endothermic process. This work implied that despite of the same molecular formula some different core thermal properties would appear depending on synthesis conditions.

• 보건행정학회지
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• 제4권2호
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• pp.77-110
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• 1994

This study is an empiriacl analysis of effects of government intervention on the health care delivery system in Korea. The purposes of this study are to find out the effects of government intervention on the per capita national health expenditure(per capita NHE), crude mortality rate(CMR), and institutional efficiency. Here, the institutional efficiency is defined as a formula shown below: log$\frac{100-curde mortality rate }{per capita NHE}$$\times$100. The formula indicates that the instiutional efficiency increases if the CMR and/or per capita NHE goes down. In the meantime the government intervention is measured by six independent variables: I) the degree of social developments, ii) the numberr of physicians per 100, 000 population, iii) the proportion of specialists among the total physicians, iv) the proportion of public expenditure among the NHE, v) the proportion of public beds to the total number of beds, vi) the proportion of physicians working at the public sector to the total number of physicians. In the above six independent variables iv), v) and vi) are the ones that reflect the degree of government intervention. In actual calculation, the two independent variables v) and vi) are integrated into a new variable based on one to one correspondence. The materials used are the time-series data from 1970 through 1990 in Korea. A path analysis and the time-series regression analysis were adopted to estimate and examine the causal relationship between variables involved. And decomposition of the effect of causal relationship is made to find net effect, direct and indirect effect. The major findings are as follows; 1. The effect of public expenditure, number of physicians per 100, 000 population, the proportion of specialists among the total physicians and social development shows a positive relationship with per capita NHE. Only if the government intervention would be counted, the effects of the number of physicians and the proportion of specialists succeed in containing per capita NHE. 2. In additionn to the above four variables, one additional variable, per capita NHE, was also responsible for the reduction of CMR. The factor of social development found to be the most potent predictor of the CMR reduction. However, the CMR reduction due to government intervention was negligible. 3. Meanwhile, the above four variables were found to was have negative effects on the institutional efficiency. The reverse is true when the government intervention is counted. For example, the number of physicians and the proportion of specialists have played a positive role in raising institutional efficiency via goverment intervention. This comes from the factual effect that the increment of institutional efficiency via the reduction of per capita NHE is bigger than via the reduction of CMR.