• Korean Journal of Mathematics
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• 제16권3호
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• pp.259-269
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• 2008

The non-existence and existence of the positive solution for the generalized cooperation biological model for two species of animals $${\Delta}u+u(a-bu+g(v))=0\;in\;{\Omega}\\{\Delta}v+v(d+h(u)-cv)=0\;in\;{\Omega}\\u=v=0\;on\;{\partial}{\Omega}$$ are investigated. The techniques used in this paper are elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equations.

• Journal of Multimedia Information System
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• 제7권4호
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• pp.249-256
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• 2020

Learning methods using various assistive and smart devices have been developed to enable independent learning of the disabled. Pointer control is the most important consideration for the disabled when controlling a device and the contents of an existing graphical user interface (GUI) environment; however, difficulties can be encountered when using a pointer, depending on the disability type; Although there are individual differences depending on the blind, low vision, and upper limb disability, problems arise in the accuracy of object selection and execution in common. A multimodal interface pilot solution is presented that enables people with various disability types to control web interactions more easily. First, we classify web interaction types using digital devices and derive essential web interactions among them. Second, to solve problems that occur when performing web interactions considering the disability type, the necessary technology according to the characteristics of each disability type is presented. Finally, a pilot solution for the multimodal interface for each disability type is proposed. We identified three disability types and developed solutions for each type. We developed a remote-control operation voice interface for blind people and a voice output interface applying the selective focusing technique for low-vision people. Finally, we developed a gaze-tracking and voice-command interface for GUI operations for people with upper-limb disability.

• International Journal of Safety
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• 제2권1호
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• pp.34-38
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• 2003

The lower and upper flash points of the flammable binary system, butylacetate+2-propanol were measured by air blowing tester. The shape of the concentration-temperature region of flash depended on the components of the mixture in solution. The experimental data were compared with the values calculated by the reduced model under an ideal solution assumption and the flash point-prediction models based on Van Laar equation. Good qualitative agreement was obtained with these models. The prediction results of these models can thus be applied to incorporate inherently safer design for chemical process, such as the determination of the safe storage conditions for flammable solutions.

• Journal of Advanced Marine Engineering and Technology
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• 제40권5호
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• pp.412-417
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• 2016

A fin of finite width with infinitely small thickness is assumed to be placed horizontally between two horizontal parallel plates of infinite extension in the exactly central position. The lower plate and the half of the upper plate are kept at a constant lower temperature, and the remaining upper plate is kept at a constant higher temperature. The fin is also kept at a constant temperature (variable). Steady-state two-dimensional laminar natural convection is analyzed as a problem of boundary value under a boundary-fitted conformal mapping system, using a spectral finite difference scheme, with a condition of doubly-connectedness. The steady-state solution is obtained as a limit of the transient solution.

• 한국정밀공학회지
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• 제5권4호
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• pp.24-31
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• 1988

The Upper Bound Solution has been used to investigate the effect of the various parameters on the floating-plug tube-drawing precess. A kinematically admissible velocity field considering the change of the tube thickness is proposed for the deformation process. Taking into account the position of the plug in the deforming region, shear energy at entrance and exit, friction energy on contact area, homogeneous energy are calculated. The theoretical values in proposed velocity field are good agreement with experimental values, It is investigated that the tube thickness in the deforming region is changed slightly toward minimization of deforming energy and then the drawing stress in lower than the crawing stress in the velocity field that the tube thickness is uniform.

• 한국지반공학회논문집
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• 제17권5호
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• pp.165-172
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• 2001

본 연구에서는 하천인접구간에서와 같이 지하수가 풍부한 지반에서 시공되는 터널의 막장 안정성을 평가하기 위하여 터널 막장에 작용하는 힘의 두 가지 요소를 고려하였다. 하나는 극한해석 중 upper bound solution으로부터 산출된 유효응력이며, 또 하나는 지하수의 정상류 흐름조건을 고려한 수치해석으로부터 산출된 침투력이다. 지하수가 풍부한 토사지반에서의 터널 시공시 터널 막장에 작용하는 힘을 구하기 위하여 침투력을 고려한 극한해석의 해를 구한 결과 터널 막장의 안정성을 유지하기 위한 최소 지보력은 터널 막장에 작용하는 유효응력과 침투력의 합으로 나타낼 수 있었다. 또한 터널 막장에 작용하는 평균침투압은 지하수위에 비례하여 작용하는 것으로 나타났으며, 이를 실내모형 실험 결과를 통하여 검증하였다. 지하수의 정상류 조건 하에서의 토사터널에 대한 실내모형 실험 결과, 터널 막장에 작용하는 침투력은 수치해석 결과 비슷한 양상을 보여주어 제안된 이론의 타당성을 입증하였다.

• 대한수학회지
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• 제58권5호
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• pp.1227-1237
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• 2021

This paper is concerned with a reaction-diffusion logistic model. In [17], Lou observed that a heterogeneous environment with diffusion makes the total biomass greater than the total carrying capacity. Regarding the ratio of biomass to carrying capacity, Ni [10] raised a conjecture that the ratio has a upper bound depending only on the spatial dimension. For the one-dimensional case, Bai, He, and Li [1] proved that the optimal upper bound is 3. Recently, Inoue and Kuto [13] showed that the supremum of the ratio is infinity when the domain is a multi-dimensional ball. In this paper, we generalized the result of [13] to an arbitrary smooth bounded domain in ℝⁿ, n ≥ 2. We use the sub-solution and super-solution method. The idea of the proof is essentially the same as the proof of [13] but we have improved the construction of sub-solutions. This is the complete answer to the conjecture of Ni.

• 한국수학교육학회지시리즈A:수학교육
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• 제30권1호
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• pp.67-69
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• 1991

• 한국안전학회지
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• 제7권4호
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• pp.85-94
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• 1992

This paper, discribes analysis of theree - dimensional extrusion with the use of dual stream functions, By this method admissible velocity fields for the extrusion of three- dimensional flow was newly derived kinematically. For square section the extrusion pressure was calculated by numerical solution program which was based on the upper bound analysis. The relationship between relative extrusion pressure and reduction of area, relative die length and constant friction factors were successfully calculated which was newly developed in this study. The results could be applied to design extrusion die.

• 한국경영과학회지
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• 제1권1호
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• pp.147-150
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• 1976

Optimal stopping problem without recall from a multivariate distribution is solved by using the concept of an equilibrium point which was introduced by J. Nash. The solution is derived for the two cases: 1. The case where the observation cost C is positive and the given upper bound K on the number of observations is infinite. 2. The case where the observation cost C is zero and the given upper bound K on the number of observations is finite.