• Title/Summary/Keyword: Functions of the space

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ON GAP FUNCTIONS OF VARIATIONAL INEQUALITY IN A BANACH SPACE

  • Kum, Sang-Ho;Lee, Gue-Myung
    • Journal of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.683-695
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    • 2001
  • In this paper we are concerned with theoretical properties of gap functions for the extended variational inequality problem (EVI) in a general Banach space. We will present a correction of a recent result of Chen et. al. without assuming the convexity of the given function Ω. Using this correction, we will discuss the continuity and the differentiability of a gap function, and compute its gradient formula under tow particular situations in a general Banach space. Our results can be regarded as infinite dimensional generalizations of the well-known results of Fukushima, and Zhu and Marcotte with soem modifications.

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A Space-Time Model with Application to Annual Temperature Anomalies;

  • Lee, Eui-Kyoo;Moon, Myung-Sang;Gunst, Richard F.
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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    • pp.19-30
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    • 2003
  • Spatiotemporal statistical models are used for analyzing space-time data in many fields, such as environmental sciences, meteorology, geology, epidemiology, forestry, hydrology, fishery, and so on. It is well known that classical spatiotemporal process modeling requires the estimation of space-time variogram or covariance functions. In practice, the estimation of such variogram or covariance functions are computationally difficult and highly sensitive to data structures. We investigate a Bayesian hierarchical model which allows the specification of a more realistic series of conditional distributions instead of computationally difficult and less realistic joint covariance functions. The spatiotemporal model investigated in this study allows both spatial component and autoregressive temporal component. These two features overcome the inability of pure time series models to adequately predict changes in trends in individual sites.

APPROXIMATION IN LIPSCHITZ ALGEBRAS OF INFINITELY DIFFERENTIABLE FUNCTIONS

  • Honary, T.G.;Mahyar, H.
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.629-636
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    • 1999
  • We introduce Lipschitz algebras of differentiable functions of a perfect compact plane set X and extend the definition to Lipschitz algebras of infinitely differentiable functions of X. Then we define the subalgebras generated by polynomials, rational functions, and analytic functions in some neighbourhood of X, and determine the maximal ideal spaces of some of these algebras. We investigate the polynomial and rational approximation problems on certain compact sets X.

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A Study on hospital color plan by color sensibility palette - Korea University Guro hospital new building in the object (색채 감성 팔레트를 이용한 병원의 색채계획 연구 - 고려대학교 구로병원 신사옥을 대상으로 -)

  • Moon, Eun-Bae
    • Korean Institute of Interior Design Journal
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    • v.16 no.2 s.61
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    • pp.295-302
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    • 2007
  • The use of colors plays an important role in the field of space design. The selection of proper colors influences on people who use space by making the most of the psychological and physical functions of colors. Especially, the medical space is relatively more important than other indoor spaces in the selection of colors. The medical space has to be something to do with diversity and functions, and at the same time with stability and quietude, as well as the space with general convenient facilities. Color is not only related to the expression but also to the distinction of things and the existence. It also functions as a visual language. Human beings depend heavily on the function of color as a visual language. According to previous studies, human beings depend on color by 80% of the whole range of eyesight. Thus, color is an important factor in recognizing things and space. For example, in hospital, it Is very important to apply proper colors to various medical treatment spaces for the sake of patients' rest and healing. Various colors which do not consider the function of patients' rest and healing may make the space confusing against the change of space and structure. It is also important to apply colors to the change of space and structure. Another key point that I would like to make is that color has visual, direct and physical influence on the human body. For example, the color red with long wavelength serves to regulate body temperature. Research on the color scheme for hospitals should consider both physical and psychological factors. That is why the research should be carried out in depth through continuous clinical demonstration. The present research aims to outline color planning.

The School Design Factors as Emergency Shelter after Disaster - Focus on the Function for Evacuation Center and Education Maintenance (재난재해 시 응급대피공간으로서 학교시설의 디자인 고려요소 -대피거점기능과 교육활동유지기능을 중심으로-)

  • Kim, Kyung-Sook;Kim, Min-Gyeong
    • Journal of the Korean Institute of Educational Facilities
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    • v.18 no.4
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    • pp.69-77
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    • 2011
  • The purpose of this study is to provide the school planning factors as emergency shelter after disaster. The school functions as the evacuation space areas could be classified into the evacuation center, education maintenance, and dwelling. Among these functions, the scopes of our study are limited to the functions of evacuation center and education maintenance. To carry out this purpose, we were comparative analyzed the shelter space problems of Korea and Japan's survey in the existing literatures. In results of our study, the evacuation center's functions are difficult to depending on the disaster types, such as the earthquake, tornado, and hurricane. On the other hand, the education maintenance functions are difficult to deepening on the victims occupied times in the school as emergency shelters. Based on these findings, the Korea school planning as the emergency shelters are desired to reflect that the evacuation's functions based on the disaster type of the damage from storms, and the education maintenance's functions based on the victim's occupied times in school for their safety.

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CERTAIN PROPERTIES OF A NEW SUBCLASS OF ANALYTIC AND p-VALENTLY CLOSE-TO-CONVEX FUNCTIONS

  • BULUT, Serap
    • Honam Mathematical Journal
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    • v.39 no.2
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    • pp.233-245
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    • 2017
  • In the present paper we introduce and investigate an interesting subclass ${\mathcal{K}}^{(k)}_s({\gamma},p) $ of analytic and p-valently close-to-convex functions in the open unit disk ${\mathbb{U}}$. For functions belonging to this class, we derive several properties as the inclusion relationships and distortion theorems. The various results presented here would generalize many known recent results.

FEKETE-SZEGÖ INEQUALITIES FOR A SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS DEFINED BY SĂLĂGEAN OPERATOR

  • BULUT, Serap
    • Honam Mathematical Journal
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    • v.39 no.4
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    • pp.591-601
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    • 2017
  • In this paper, by means of the $S{\breve{a}}l{\breve{a}}gean$ operator, we introduce a new subclass $\mathcal{B}^{m,n}_{\Sigma}({\gamma};{\varphi})$ of analytic and bi-univalent functions in the open unit disk $\mathbb{U}$. For functions belonging to this class, we consider Fekete-$Szeg{\ddot{o}}$ inequalities.

The Study on the Space for Cooking and Dinning of Multi-family Housing at Yanji City in China. (중국 연변 조선족 집합주택의 취사 및 식사공간에 관한 연구)

  • 김종영
    • Journal of the Korean housing association
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    • v.13 no.2
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    • pp.65-71
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    • 2002
  • Recently, the space organization of Korean-Chinese houses is different from that of other territories. The characteristics of eating and dinning space for Korean-Chinese Multi-family Housing are as follows ; ⅰ) The most obvious change in Korean-Chinese urban housing style was seen in kitchen space, which can be classify three types such as traditional type, improved type, and LDK type on the bases of heating and cooking method. ⅱ) Special feature of Korean-Chinese housing in Yanji city was that kitchen fulfilled important functions such as heating, cooking, dinning, sleeping, bathing and washing. Since then, each function was separated and functions of kitchen were cut down after all. iii) The arrangement of kitchen space have changeed according to the change of heating fuel, heating system, equipment, relatcd policy, etx. Multi-function kitchen discovered only in Yanji had lasted until 1980's by equipping heating floor system, which is suitable for sit-down living style. In 1990's, this kitchen style was prohibited legally, and the balcony area of kitchen widened due to the abolition of outdoor storehouse for foodstuff.

Applicability of Interaction Design at Main Entrance in Apartment House (공동주택 주동출입구의 인터랙션 디자인 적용가능성)

  • Park, Mi-So;Kang, Soon-Joo
    • Proceeding of Spring/Autumn Annual Conference of KHA
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    • 2008.04a
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    • pp.319-322
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    • 2008
  • Designing of the apartment house in present has been contributing to private unit reflected demands and characteristics of residents. However, common space hasn't been designed in various ways compared to unit. Though the main entrance is place to link inner space and out space, to make resident identity and to communicate with neighbors, It has been produced the same type. The space design in 21st century is focusing on contents of space with the development of techniques, and we need to find applicability of new design related to digital technology in apartment house. The purpose of this study is to find applicability of interaction design at main entrance in apartment house for improvement functions of entrance. The results of this study were as follows; The main entrance is possible more active place through the interaction design that would be satisfied with residents needs and functions.

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