• Bulletin of the Korean Mathematical Society
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• v.38 no.4
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• pp.787-795
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• 2001

For the generalized nilpotent spaces, e.g. the locally nilpotent space, the residually locally nilpotent space and the space satisfying the condition ($T^{*}$) or ($T^{**}$), we find the pullback property of them. Furthermore we investigate some fiber properties of the space satisfying the condition ($T^{*}$) or ($T^{**}$), especially locally nilpotent space.

• The Pure and Applied Mathematics
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• v.16 no.4
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• pp.359-367
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• 2009

The graph of the parallelogram law is well known, which gives rise to the characterization of an inner product space among normed linear spaces [6]. In this paper we will sketch graphs of its deformations according to our previous paper [7, Theorem 3.1 and 3.2]; each one of which characterizes an inner product space among normed linear spaces. Consequently, the graphs of some classical characterizations of an inner product space follow easily.

• Communications of the Korean Mathematical Society
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• v.12 no.3
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• pp.685-690
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• 1997

Our study focuses on the condition under which a subspace of complex projective space can become an Einstein space. We prove that a subspace becomes an Einstein space if it's codimension is less than n-1 and its curvature tensor and Ricci tensor satisfies Ryan's condition.

• Journal of the Korean Institute of Educational Facilities
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• v.16 no.4
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• pp.79-88
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• 2009

To enhance the administrational efficiency and for university facility and space management to be public, this research suggests a competent and an objective evaluation system and index. The study will assist national and university finances to contribute towards advanced education. Furthermore, figure out the space management condition of national university by utilizing the evaluation system, and through that suggesting efficient special management method. According to the result of this study, evaluation system for university facility can be widely divided into seven categories; system preparation, members conference, propriety of space allocation, propriety of management system, space use ratio, time control of space use, imposition index of surplus use. Based on these subdivisions, the space management category contains 19 evaluation items and the marking system allows perfect score of 100 points. In result of examining space management condition using the evaluation system, space management was well enforced in research focused university group where as in education centered university group, it shows relatively low enforcement. It also illustrated that efforts of evaluation items were required in categories of imposition index of surplus use and special use ratio in order for efficient space management.

• Korean Journal of Mathematics
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• v.17 no.4
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• pp.461-471
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• 2009

Let ${\Omega}$ be a bounded subset of $R^n$ with smooth boundary and H be a Sobolev space $W_0^{1,2}({\Omega})$. Let $I{\in}C^{1,1}$ be a strongly definite functional defined on a Hilbert space H. We investigate the conditions on which the functional I satisfies the Palais-Smale condition. Palais-Smale condition is important for determining the critical points for I by applying the critical point theory.

• Journal of the Chungcheong Mathematical Society
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• v.16 no.1
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• pp.61-71
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• 2003

We obtain a necessary condition for splitting T-space off a space in terms of cyclic maps, and also obtain a necessary condition for splitting co-T-spaces in terms of cocyclic maps.

• Korean Institute of Interior Design Journal
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• v.22 no.6
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• pp.98-107
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• 2013

Space evolves from the concept of deterministic static location to a dynamic, connected area through the interference of the user. While this does incorporate physical changes of the space, it also reflects the changes of the program or characteristics of the space through the actions and changes of the user. Therefore, in this study we plan to review the characteristic of time appearing within space, thereby discussing the impact of changing of condition in time-space to the decision making of the user. Further, we plan to analyze the specific causes, and subsequently introduce a new perspective over space. In order to achieve this, we need to first understand the reason why the attribute of time needs to be discussed in space, and perform a fundamental analysis of factors for the changes of the users' actions following changes in space-time condition. This means that space is not limited to merely satisfying its innate objective as an area, but may have a basis for modifying its role to help the decision making of the users caused by changes in space-time conditions. Accordingly, we analyze the factors for change of environment that can appear in space following the flow of time caused by correlation in space-time, as well as psychological factors and variables for decision making by the users. Based on this, we analyze cases to study the influence of condition changes in time-space on the action decision judgment of the users. Through this, we propose that the actions of the users can be determined following changes in time-space conditions, and discuss the need for changes in our perspective of space.

• Journal of The Korean Digital Architecture Interior Association
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• v.9 no.2
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• pp.35-43
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• 2009

The purpose of this study is to know the way of practical space use and user behavior pattern at the livingroom of city apartment that is the representative residential space of modern citizen. The way of study is to compare the livingroom of model house with actual condition of livingroom, through this way, we will know that livingroom is in use as the original concept of design or not. From the research which sees consequently (1) Most of the current model houses show common kind of livingroom by using typical style and arrangement of furniture (TV, couch, table, and decorations such as pictures or other artworks). (2) Actual condition of livingroom is different from model house in furniture arrangement and in using space which is set depending on the residents' preferences and characteristics.(computer, desk, exercising equipments, and instruments etc.) (3) The actual condition of livingroom shows the various behavior pattern of space use as the actual condition of livingroom is a mixture of typical kind of livingroom and the livingroom that reflects the characteristics of residents'.

• Journal of The Korea Institute of Healthcare Architecture
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• v.15 no.4
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• pp.23-31
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• 2009

The needs of integrated play and space for both healthy children and children with Disabilities is increasing due to positive effect of integrated play. However, existing plan of play space have not considered children with Disabilities as the user and Integrated Perspective what children and children with Disabilities can do together is insufficient. For these reasons, establishing guideline of the Barrier Free Play Space and Model Development is required to meet the New Paradigm's demands. The purpose of this research is to deduce present condition and problem of play space through the Actual Condition Analysis of domestic Play Space. This study have given careful consideration to the actual condition of play space for 3 types by Types of Installation method. As a result, there are many problems from research point of view and facilities for the disablilities too. Consequently, element of plan and facilities for the disabled which are problems should be shown the direction focused improvement, moreover major task is build a barrier free play space as a place of social integration.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.4
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• pp.689-695
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• 2014

Let M be an N-function satisfies the ${\Delta}_2$-condition and let $O_M$ be the Orlicz space associated with M. Let $C(O_M)$ be the space of all continuous functions defined on the interval [0, T] with values in $O_M$. In this note, we define the analogue of Wiener measure $m^M_{\phi}$ on $C(O_M)$, establish the Wiener integration formulae for the cylinder functions on $C(O_M)$ and give some examples related to our formulae.