• Title/Summary/Keyword: Semi-closed space

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ON STRONGLY θ-e-CONTINUOUS FUNCTIONS

  • Ozkoc, Murad;Aslim, Gulhan
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.1025-1036
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    • 2010
  • A new class of generalized open sets in a topological space, called e-open sets, is introduced and some properties are obtained by Ekici [6]. This class is contained in the class of $\delta$-semi-preopen (or $\delta-\beta$-open) sets and weaker than both $\delta$-semiopen sets and $\delta$-preopen sets. In order to investigate some different properties we introduce two strong form of e-open sets called e-regular sets and e-$\theta$-open sets. By means of e-$\theta$-open sets we also introduce a new class of functions called strongly $\theta$-e-continuous functions which is a generalization of $\theta$-precontinuous functions. Some characterizations concerning strongly $\theta$-e-continuous functions are obtained.

VIABILITY FOR SEMILINEAR DIFFERENTIAL EQUATIONS OF RETARDED TYPE

  • Dong, Qixiang;Li, Gang
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.731-742
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    • 2007
  • Let X be a Banach space, $A:D(A){\subset}X{\rightarrow}X$ the generator of a compact $C_0-semigroup\;S(t):X{\rightarrow}X,\;t{\geq}0$, D a locally closed subset in X, and $f:(a,b){\times}C([-q,0];X){\rightarrow}X$ a function of Caratheodory type. The main result of this paper is that a necessary and sufficient condition in order that D be a viable domain of the semi linear differential equation of retarded type $$u#(t)=Au(t)+f(t,u_t),\;t{\in}[t_0,\;t_0+T],{u_t}_0={\phi}{\in}C([-q,0];X)$$ is the tangency condition $$\limits_{h{\downarrow}0}^{lim\;inf\;h^{-1}d(S(h)v(0)+hf(t,v);D)=0}$$ for almost every $t{\in}(a,b)$ and every $v{\in}C([-q,0];X)\;with\;v(0){\in}D$.

RELATIVE TWISTED KÄHLER-RICCI FLOWS ON FAMILIES OF COMPACT KÄHLER MANIFOLDS

  • Choi, Young-Jun
    • East Asian mathematical journal
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    • v.37 no.5
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    • pp.577-584
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    • 2021
  • Let p : X → D be a proper surjective holomorphic submersion where X is a Kähler manifold and D is the unit disc in ℂ. Let Ω be a d-closed semi-positive real (1, 1)-form on X. If each Xs := p-1(s) for s ∈ D satisfies $-c_1(X_s)+{\Omega}{\mid}_{X_s}$ is Kähler, then the Kähler-Ricci flow twisted by ${\Omega}{\mid}_{X_s}$ has a long time solution by Cao's theorem. This family of twisted Kähler-Ricci flows induces a relative Kähler form ω(t) on the total space X. In this paper, we prove that the positivity of ω(t) is preserved along the twisted Kähler-Ricci flow.

The Froude Scaling Study on the Ventilation of Non-isothermal Concentrated Fume from the Semi-closed Space (반밀폐형 공간에서 비등온 고농도 연무의 배연산출량 산정을 위한 Froude 상사연구)

  • Chang, Hyuk-Sang;Choi, Byung-Il;Park, Jae-Cheul;Kim, Myung-Bae
    • Journal of Korean Society of Environmental Engineers
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    • v.27 no.8
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    • pp.877-885
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    • 2005
  • The Froude scaling between the prototype and the model was tried to estimate the necessary ventilation rate for non-isothermal concentrated fume from the semi-closed inner space. Based on the non-dimensional similitude equations derived from the Zukoski plume rise analysis, the scaling experiments were done to verify the relationship of the non-dimensional energy release rate and the non-dimensional mass flow rate by using two different scaled volume models, model A ($1\;m{\times}1\;m{\times}1\;m$) and model B ($0.5\;m{\times}0.5\;m{\times}0.5\;m$). The experimental results showed that the theoretical similitude between the models is acceptable for the prediction of ventilation rate of the concentrated fume. The maximum energy release rate used for the experiments was $20\;kW/m^3$. In the experimental range, the similitude between the energy release rate and the ventilation mass flow rate was well defined and the necessary ventilation rates were 20-30% higher than the stoichiometric ventilation mass flow rate. Based on results of current study, the design of the local air ventilation system can be improved by correcting the effects of buoyancy and diffusion of the non-isothermal concentrated fume.

Analysis of Spatial and Vertical Variability of Environmental Parameters in a Greenhouse and Comparison of Carbon Dioxide Concentration in Two Different Types of Greenhouses (온실 환경요인의 공간적 및 수직적 특성 분석과 온실 종류에 따른 이산화탄소 농도 비교)

  • Jeong, Young Ae;Jang, Dong Cheol;Kwon, Jin Kyung;Kim, Dae Hyun;Choi, Eun Young
    • Journal of Bio-Environment Control
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    • v.31 no.3
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    • pp.221-229
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    • 2022
  • This study was aimed to investigate spatial and vertical characteristics of greenhouse environments according to the location of the environmental sensors, and to investigate the correlations between temperature, light intensity, and carbon dioxide (CO2) concentration according to the type of greenhouse. Temperature, relative humidity (RH), CO2, and light sensors were installed in the four-different vertical positions of the whole canopy as well as ground and roof space at the five spatial locations of the Venlo greenhouse. Also, correlations between temperature, light intensity, and CO2 concentration in Venlo and semi-closed greenhouses were analyzed using the Curve Expert Professional program. The deviations among the spatial locations were larger in the CO2 concentration than other environmental factors in the Venlo greenhouse. The average CO2 concentration ranged from 465 to 761 µmol·mol-1 with the highest value (646 µmol·mol-1) at the Middle End (4ME) close to the main pipe (50Ø) of the liquefied CO2 gas supply and lowest (436 µmol·mol-1) at the Left Middle (5LM). The deviation among the vertical positions was greater in temperature and relative humidity than other environments. The time zone with the largest deviation in average temperature was 2 p.m. with the highest temperature (26.51℃) at the Upper Air (UA) and the lowest temperature (25.62℃) at the Lower Canopy (LC). The time zone with the largest deviation in average RH was 1 p.m. with the highest RH (76.90%) at the LC and the lowest RH (71.74%) at the UA. The highest average CO2 concentration at each hour was Roof Air (RF) and Ground (GD). The coefficient of correlations between temperature, light intensity, and CO2 concentration were 0.07 for semi-closed greenhouse and 0.66 for Venlo greenhouse. All the results indicate that while the CO2 concentration in the greenhouse needs to be analyzed in the spatial locations, temperature and humidity needs to be analyzed in the vertical positions of canopy. The target CO2 fertilization concentration for the semi-closed greenhouse with low ventilation rate should be different from that of general greenhouses.

A Study on the Spatial Composition of the Folk Houses at Wanggok Village (왕곡마을 민가의 공간구성에 관한 연구)

  • Choi, Jang-Soo;Jo, Hyun-Gil
    • Journal of the Korean housing association
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    • v.18 no.5
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    • pp.1-10
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    • 2007
  • This study is to analyze the residential spatial composition structures of vernacular agricultural village which to be called Wanggok in Yeongdong area. The results of this study are as follows; ${\cdot}$ The backyard of farmhouses is surrounded by a fence and a frontyard is open to the road, so that the spatial realm system from the road to the backyard is classified as public-semi public-private realm. ${\cdot}$ The plan type of this village is mainly composed of ㅡ type Gyeobjib (the two row rooms under one roof) and ㄱ type Gyeobjib, the Anmaru (the inner wood floor to be surrounded with wall) in both of which plays an important role that connects Sarangbang (the men's main room) with Anbang (the women's main room) in the residential space. ${\cdot}$ The particular item that not found out in another area is the Sarangbang kitchen which located to Sarangbang's side wall to be furnished with a fire hole. ${\cdot}$ The houses represent the socio-cultural environmental elements of those built days, such as while Sarangbang is faced on a frontyard to be open to the neighborhood, Anbang is faced on a backyard surrounded with a fence to be closed to the one. ${\cdot}$ The Gyeobjib with Anmaru appeared by cultural transformation connecting the 田-shaped house of Hamgyeongdo with the Gyeobjib with Anmaru of Gangwondo and Gyeongsangbukdo. ${\cdot}$ The ㄱ type Gyeobjib is preferred to ㅡ type Gyeobjib because of the sea wind and the north-east wind occurring by geographical and climatic environment elements, the privacy protection according to look into a frontyard, the muck drainage of cowshed to make use of ground unevenness, the economic gains called material saving and the intention to enlarge the frontyard as to be concentrated in a residential space and etc.

Comparative Analysis on Interior Spaces of the Selected Historical Residences in the Western and Eastern Countries - focusing on case residences of Korea, China, Japan, Rome, Egypt, and Italy - (동서양 전통적인 주택 양식의 실내공간 특성 비교분석 연구 - 한국, 중국, 일본, 로마, 이집트, 이태리의 사례주택을 중심으로-)

  • 김연정;이연숙
    • Korean Institute of Interior Design Journal
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    • no.27
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    • pp.152-161
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    • 2001
  • At the multi-cultural society, research is needed to encourage a social atmosphere for enhanced understanding and respect for different cultures & countries. The purpose was to analyze the characteristics of spatial arrangement, space connection, Interior decoration and the relationship among these three features, which showed each country's unique housing form tradition. Three representative cases of historic residences from each country were selected on the basis of a recognized historic architecture directory. Total 18 residences from 6 countries - Korea, China, Japan, Rome, Egypt, and Italy - were comparatively analyzed. As results, aspects generally found in Eastern countries, were the fence as the semi-open boundary between the inside and the outside of the house, the flexibility of spatial opening and partitions between rooms, and finally simple and movable decoration features. On the other hands, aspects appeared in Western countries, were the outer wall of the building as the boundary to the outside, the closed and fixed properties of the room partitions, and finally complex and fixed decoration features. The research also showed that even within the same culture, the degree of openness varied. Each feature of space was related and could be explained within the same context. Housing, regardless of country and culture, tried to accommodate the exterior space inside the building as much as possible. The common pursuit was transformed to various visible forms and its reason might be due to different socio-cultural and environmental backgrounds that need to be continuously explored in academic area.

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Feasibility of a new hybrid base isolation system consisting of MR elastomer and roller bearing

  • Hwang, Yongmoon;Lee, Chan Woo;Lee, Junghoon;Jung, Hyung-Jo
    • Smart Structures and Systems
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    • v.25 no.3
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    • pp.323-335
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    • 2020
  • Magnetorheological elastomer (MRE), a smart material, is an innovative material for base isolation system. It has magnetorheological (MR) effect that can control the stiffness in real-time. In this paper, a new hybrid base isolation system combining two electromagnetic closed circuits and the roller bearing is proposed. In the proposed system, the roller part can support the vertical load. Thus, the MRE part is free from the vertical load and can exhibit the maximum MR effect. The MRE magnetic loop is constructed in the free space of the roller bearing and forms a strong magnetic field. To demonstrate the performance of the proposed hybrid base isolation system, dynamic characteristic tests and performance evaluation were carried out. Dynamic characteristic tests were performed under the extensive range of strain of the MRE and the change of the applied current. Performance evaluation was carried out using the hybrid simulation under five earthquakes (i.e., El Centro, Kobe, Hachinohe, Northridge, and Loma Prieta). Especially, semi-active fuzzy control algorithm was applied and compared with passive type. From the performance evaluation, the comparison shows that the new hybrid base isolation system using fuzzy control algorithm is superior to passive type in reducing the acceleration and displacement responses of a target structure.

STRONG CONVERGENCE OF COMPOSITE IMPLICIT ITERATIVE PROCESS FOR A FINITE FAMILY OF NONEXPANSIVE MAPPINGS

  • Gu, Feng
    • East Asian mathematical journal
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    • v.24 no.1
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    • pp.35-43
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    • 2008
  • Let E be a uniformly convex Banach space and K be a nonempty closed convex subset of E. Let ${\{T_i\}}^N_{i=1}$ be N nonexpansive self-mappings of K with $F\;=\;{\cap}^N_{i=1}F(T_i)\;{\neq}\;{\theta}$ (here $F(T_i)$ denotes the set of fixed points of $T_i$). Suppose that one of the mappings in ${\{T_i\}}^N_{i=1}$ is semi-compact. Let $\{{\alpha}_n\}\;{\subset}\;[{\delta},\;1-{\delta}]$ for some ${\delta}\;{\in}\;(0,\;1)$ and $\{{\beta}_n\}\;{\subset}\;[\tau,\;1]$ for some ${\tau}\;{\in}\;(0,\;1]$. For arbitrary $x_0\;{\in}\;K$, let the sequence {$x_n$} be defined iteratively by $\{{x_n\;=\;{\alpha}_nx_{n-1}\;+\;(1-{\alpha}_n)T_ny_n,\;\;\;\;\;\;\;\;\; \atop {y_n\;=\;{\beta}nx_{n-1}\;+\;(1-{\beta}_n)T_nx_n},\;{\forall}_n{\geq}1,}$, where $T_n\;=\;T_{n(modN)}$. Then {$x_n$} convergence strongly to a common fixed point of the mappings family ${\{T_i\}}^N_{i=1}$. The result presented in this paper generalized and improve the corresponding results of Chidume and Shahzad [C. E. Chidume, N. Shahzad, Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings, Nonlinear Anal. 62(2005), 1149-1156] even in the case of ${\beta}_n\;{\equiv}\;1$ or N=1 are also new.

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The study on performance evaluation of heat resistance and smoke control system using air-curtain system in tunnel (터널용 에어커튼 시스템의 내열 및 제연 성능 평가 연구)

  • Park, Byoung-Jik;Shin, Hyun-Jun;Yoo, Yong-Ho;Park, Jin-Ouk;Kim, Yang-Kyun;Kim, Hwi-Seong
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.20 no.4
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    • pp.743-755
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    • 2018
  • Tunnel is a semi-closed structure similar to underground space where the smoke generated from fire fills the space fast while escaping from the space slow. Because of such characteristics, when the fire breaks out by traffic accident, the vehicles are jammed making it difficult for the people to evacuate from the scene as well as for the fire engine to gain access to the scene. For such reasons, tunnels are globally categorized into some disaster classes for differentiated facilities and operation approaches. In Korea, less than a 1 km-long tunnel accounts for 80.0% and such a short tunnel which is categorized into Class III is not required to have smoke control system. In this study, a full-scale fire test was conducted in a bid to apply air curtain system using heat-resistant sirocco fan to a less than 1 km-long tunnel. To that end, heat resistance test to verify the normal operation at $250^{\circ}C$ for 60 minutes was conducted. Consequently, despite of rapid rising-temperature and increasing-carbon dioxide inside the air curtain (direction of fire in tunnel), initial condition was found to have been sustained outside the air curtain (opposite direction of fire in tunnel).