• Title/Summary/Keyword: semi-closed

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VARIATION OF ORBIT-COINCIDENCE SETS

  • Srivastava, Anjali
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.1
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    • pp.1-6
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    • 2002
  • David Gavid [3] proved that in many familiar cases the upper semi-finite topology on the set of closed subsets of a space is the largest topology making the coincidence function continuous, when the collection of functions is given the graph topology. Considering G-spaces and taking the coincidence set to consist of points where orbits coincidence, we obtain G-version of many of his results.

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MICHAEL'S SELECTION THEORIES AND THEIR APPLICATIONS

  • CHO, MYUNG HYUN
    • Honam Mathematical Journal
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    • v.20 no.1
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    • pp.135-145
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    • 1998
  • In this paper, we focus on the convex-valued selection theorem out of four main selection theorems; zero-dimensional, convex-valued, compact-valued, finite-dimensional theorems based on Michael's papers. We prove some theorems about lower semi-continuous set-valued mappings, and derive some applications to closed continuous set-valued mappings and to functional analysis. We also give a partial solution to the open problem posed by Engelking, Heath, and Michael.

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DIFFERENTIAL EQUATIONS ON CLOSED SUBSETS OF A PROBABILISTIC NORMED SPACE

  • Kim, Jong-Kyu;Jin, Byoung-Jae
    • Journal of applied mathematics & informatics
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    • v.5 no.1
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    • pp.223-233
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    • 1998
  • This paper is concerned with the problem of existence of solutions to the initial value problem u'(t) = A(t, u(t)), u(a) = z in a probabilistic normed space where $A : [a,b)\;{\times}\;D->E$ is continuous, D is a closed subset of a probabilistic normed space E, and $z\;{\in}\;D$. With a dissipative type condition on A, we estabilish sufficient conditions for this initial value problem to have a solution.

PAIRWISE FUZZY S-CLOSED BITOPOLOGICAL SPACES

  • Park, Jin-Han;Lee, Bu-Young;Son, Mi-Jung
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.77-80
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    • 1996
  • In this paper, we generalize the concept of fuzzy S-closed spaces due to Mukherjee and Ghosh [8] into fuzzy bitopological setting and investigate some of its properties using the concepts of (${\tau}_i$, ${\tau}_j$)-semi-closure and related notions in fuzzy setting.

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Plastic Deformation in an Interface Crack under Mode III Loads (모우드III 하중하의 계면균열에서의 소성변형)

  • 박재학
    • Journal of the Korean Society of Safety
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    • v.2 no.3
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    • pp.21-27
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    • 1987
  • The effect of plastic deformation in an interfacial crack is considered. Yield zones are assumed to have the form of a strip along the interface. The crack is subjected to mode III loads at infinity and lies along the interface of two semi-infinite planes with different material properties. The size of the yield zones, the relation between the size of the yield zone and CTOD are obtained in a closed form solution. The J integral also can be obtained in a closed form Solution.

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Bayesian Semi-Parametric Regression for Quantile Residual Lifetime

  • Park, Taeyoung;Bae, Wonho
    • Communications for Statistical Applications and Methods
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    • v.21 no.4
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    • pp.285-296
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    • 2014
  • The quantile residual life function has been effectively used to interpret results from the analysis of the proportional hazards model for censored survival data; however, the quantile residual life function is not always estimable with currently available semi-parametric regression methods in the presence of heavy censoring. A parametric regression approach may circumvent the difficulty of heavy censoring, but parametric assumptions on a baseline hazard function can cause a potential bias. This article proposes a Bayesian semi-parametric regression approach for inference on an unknown baseline hazard function while adjusting for available covariates. We consider a model-based approach but the proposed method does not suffer from strong parametric assumptions, enjoying a closed-form specification of the parametric regression approach without sacrificing the flexibility of the semi-parametric regression approach. The proposed method is applied to simulated data and heavily censored survival data to estimate various quantile residual lifetimes and adjust for important prognostic factors.

The Effect of Gate Shape for Semi-Solid Forging Die on the Filling Limitation (반용융 단조금형의 Gate 형상이 성형성에 미치는 영향)

  • Son Y. I.;Kang C. G.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2000.10a
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    • pp.178-184
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    • 2000
  • To obtain high quality component with thixoforming process, it is important that the homegeneous distribution of solid particles without liquid segregation. In closed-die semi-solid forging process, liquid segregation is strongly affected by injection velocity than any other process variables because the material has to travel relatively long distance to fill the cavity through a narrow gate before solidification begins. The optimal injection velocity and die temperature were investigated to fabricate near-net-shape compressor component called Al frame.

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Effects of Change in Heat Release Rate on Unsteady Fire Characteristics in a Semi-Closed Compartment (반밀폐된 구획에서 발열량 변화에 따른 비정상 화재특성)

  • Hwang, Cheol-Hong
    • Fire Science and Engineering
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    • v.26 no.2
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    • pp.75-83
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    • 2012
  • An experimental study was conducted to investigate the effects of change in heat release rate on unsteady fire characteristics of under-ventilated fire in a semi-closed compartment. A standard doorway width of the full-scale ISO 9705 room was modified to 0.1 m and the flow rate of heptane fuel was increased linearly with time using a spray nozzle located at the center of enclosure. Temperature, heat flux, species concentrations and heat release rate were continuously measured and then global equivalence ratio (GER) concept was adopted to represent the unsteady thermal and chemical characteristics inside the compartment. It was observed that there was a significant difference in unsteady behavior between global and local combustion efficiency, and the GERs predicted by ideal and measured heat release rate were also shown different results in time. The unsteady behaviors of temperature, heat flux and species concentrations were represented well using the GER concept. It was important to note that CO concentration was gradually decreased with the increase in GER after reaching its maximum value in the range of 2.0~3.0 of global equivalence ratio. In addition, the experimental data on unsteady thermal and chemical behaviors obtained in a semi-closed compartment will be usefully used to validate a realistic fire simulation.

Performance Evaluation of FDS for Predicting the Unsteady Fire Characteristics in a Semi-Closed ISO 9705 Room (반밀폐된 ISO 9705 화재실에서 비정상 화재특성 예측을 위한 FDS의 성능평가)

  • Mun, Sun-Yeo;Hwang, Cheol-Hong
    • Fire Science and Engineering
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    • v.26 no.3
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    • pp.21-28
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    • 2012
  • The objective of this study is to evaluate the prediction accuracy of FDS(Fire Dynamic Simulator) for the thermal and chemical characteristics of under-ventilated fire with unsteady fire growth in a semi-closed compartment. To this end, a standard doorway width of the full-scale ISO 9705 room was modified to 0.1 m and the flow rate of heptane fuel was increased linearly with time (until maximum 2.0 MW based on ideal heat release rate) using a spray nozzle located at the center of enclosure. To verify the capability of FDS, the predicted results were compared with a previous experimental data under the identical fire conditions. It was observed that with an appropriate grid system, the numerically predicted temperature and heat flux inside the compartment showed reasonable agreement with the experimental data. On the other hand, there were considerable limitations to predict accurately the unsteady behaviors of CO and $CO_2$ concentration under the condition of continuous fire growth. These results leaded to a discrepancy between the present evaluation of FDS and the previous evaluation conducted for steady-state under-ventilated fires. It was important to note that the prediction of transient CO production characteristics using FDS was approached carefully for the under-ventilated fire in a semi-closed compartment.

Analysis of Patellar Tracking and Q-angle During Semi-Squat Exercises (반 쪼그려 앉기(Semi-Squat) 운동 시 무릎뼈 주행(Tracking)과 Q-각도 분석)

  • Park, Seung-Kyu;Yang, Dae-Jung;Park, Jae-Man;Han, Song-E
    • Korean Journal of Applied Biomechanics
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    • v.21 no.1
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    • pp.107-114
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    • 2011
  • Closed kinematic chain exercises such as squatting have been widely indicated for knee rehabilitation in patients with patellofemoral disorders such as osteoarthritis and patellofemoral pain. Patellofemoral disorders are thought to be associated with abnormal patellar kinematics. In addition, the Q-angle may be undervalued in patients with patellofemoral pain and a laterally displaced patella. The purpose of this study was to assess patellar kinematics and the Q-angle during double-leg semi-squat and wall-slide semi-squat exercises. In this study, 28 asymptomatic subjects(16 male, 12 female) were assessed. Patellar tilt, patellar spin, and Q-angle were recorded using a motion analysis system during double-leg semi-squat and wall-slide semi-squat exercises. The Q-angle and patellar tilt were significantly increased, whereas patellar spin was significantly decreased, at $45^{\circ}$ of knee flexion compared with $0^{\circ}$. No differences were observed for the Q-angle, patellar tilt, and patellar spin during double-leg semi-squat and wall-slide semi-squat exercises. However, a significant interaction was observed between squat type and knee angle for patellar spin. We found that the patella is laterally tilted during semi-squat exercises and that there was no difference in patellar tracking between knee flexion during double-leg semi-squat and wall-slide semi-squat exercises.