• Communications of the Korean Mathematical Society
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• v.36 no.4
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• pp.685-704
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• 2021

The purpose of this paper is to establish a very general Cameron-Storvick theorem involving the generalized analytic Feynman integral of functionals on the product function space C²_a,b[0, T]. The function space C_a,b[0, T] can be induced by the generalized Brownian motion process associated with continuous functions a and b. To do this we first introduce the class ${\mathcal{F}}^{a,b}_{A_1,A_2}$ of functionals on C²_a,b[0, T] which is a generalization of the Kallianpur and Bromley Fresnel class ${\mathcal{F}}_{A_1,A_2}$. We then proceed to establish a Cameron-Storvick theorem on the product function space C²_a,b[0, T]. Finally we use our Cameron-Storvick theorem to obtain several meaningful results and examples.

• Journal of the Korean Home Economics Association
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• v.46 no.8
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• pp.135-147
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• 2008

This study was to identify the spatial and functional characteristics of kitchen and utility space plan in apartment housing. For this purpose, spatial arrangement and function of kitchen and utility space were analyzed according to the size of apartment unit. The results of this study were as follows; 1) The level of spatial separation among living room, dining room, and bedroom is higher in large-sized apartment. And diverse plans were applied for the kitchen of large-sized apartment. 2) To find out functional characteristics of kitchen space, furniture arrangement was analyzed. The I-type kitchen furniture is dominant for small-sized and medium-small apartment, and L-type furniture for medium-large and large sized apartment. 3) For most of the unit plans utility space is located on the balcony outside the kitchen. 4) Sub-kitchen and laundry are major function of utility space, but in case of balcony extention, the function of utility space is minimized. Recent plans for apartment housing shows various spatial arrangement and functions for kitchen and utility space.

• Journal of the Korean Mathematical Society
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• v.48 no.2
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• pp.397-420
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• 2011

In this paper we study the structure of closed weakly dense ideals in Privalov spaces $N^p$ (1 < p < $\infty$) of holomorphic functions on the disk $\mathbb{D}$ : |z| < 1. The space $N^p$ with the topology given by Stoll's metric [21] becomes an F-algebra. N. Mochizuki [16] proved that a closed ideal in $N^p$ is a principal ideal generated by an inner function. Consequently, a closed subspace E of $N^p$ is invariant under multiplication by z if and only if it has the form $IN^p$ for some inner function I. We prove that if $\cal{M}$ is a closed ideal in $N^p$ that is dense in the weak topology of $N^p$, then $\cal{M}$ is generated by a singular inner function. On the other hand, if $S_{\mu}$ is a singular inner function whose associated singular measure $\mu$ has the modulus of continuity $O(t^{(p-1)/p})$, then we prove that the ideal $S_{\mu}N^p$ is weakly dense in $N^p$. Consequently, for such singular inner function $S_{\mu}$, the quotient space $N^p/S_{\mu}N^p$ is an F-space with trivial dual, and hence $N^p$ does not have the separation property.

• Journal of Positioning, Navigation, and Timing
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• v.5 no.2
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• pp.75-85
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• 2016

The performance of up-to-date mapping functions and various mean temperature equations were analyzed to derive optimal mapping function and mean temperature equation when GNSS precipitable water vapor (PWV) was investigated in the Korean Peninsula. Bernese GNSS Software 5.2, which can perform high precision GNSS data processing, was used for accurate analysis, and zenith total delay (ZTD) required to calculate PWV was estimated via the Precise Point Positioning (PPP) method. GNSS, radiosonde, and meteorological data from 2009 to 2014 were acquired from Sokcho Observatory and used. ZTDs estimated by applying the global mapping function (GMF) and Vienna mapping function 1 (VMF1) were compared with each other in order to evaluate the performance of the mapping functions. To assess the performance of mean temperature equations, GNSS PWV was calculated by using six mean temperature equations and a difference with radiosonde PWV was investigated. Conclusively, accuracy of data processing was improved more when using VMF1 than using GMF. A mean temperature equation proposed by Wu (2003) had the smallest difference with that in the radiosonde in the analysis including all seasons. In summer, a mean temperature equation proposed by Song & Grejner-Brzezinska (2009) had the closest results with that of radiosonde. In winter, a mean temperature equation proposed by Song (2009) showed the closest results with that of radiosonde.

• The Pure and Applied Mathematics
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• v.7 no.1
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• pp.61-69
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• 2000

Let($X^{\ast},\tau^{\ast}$) be the space with one point Lindeloffication topology of space (X,$\tau$). This paper offers the definition of the space with one point Lin-deloffication topology of a topological space and proves that the retraction regu-lar closed function f: $K^{\ast}(X^{\ast}$) defined f($A^{\ast})=A^{\ast}$ if p $\in A^{\ast}$ or ($f(A^{\ast})=A^{\ast}-{p}$ if $p \in A^{\ast}$ is a homomorphism. There are two examples in this paper to show that the retraction regular closed function f is neither a surjection nor an injection.

• Journal of applied mathematics & informatics
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• v.40 no.1_2
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• pp.85-98
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• 2022

The purpose of this paper is to introduce the notion of Fermatean fuzzy topological space by motivating from the notion of intuitionistic fuzzy topological space, and define Fermatean fuzzy continuity of a function defined between Fermatean fuzzy topological spaces. For this purpose, we define the notions of image and the pre-image of a Fermatean fuzzy subset with respect to a function and we investigate some basic properties of these notions. We also construct the coarsest Fermatean fuzzy topology on a non-empty set X which makes a given function f from X into Y a Fermatean fuzzy continuous where Y is a Fermatean fuzzy topological space. Finally, we introduce the concept of Fermatean fuzzy points and study some types of separation axioms in Fermatean fuzzy topological space.

• Journal of The Korea Institute of Healthcare Architecture
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• v.23 no.4
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• pp.37-53
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• 2017

Purpose: As the structure of the disease has been changed and the infectious disease has been increased, the demand for diagnostic examination has been increasing. So, the department of laboratory medicine in hospital has playing the important role accounting for about nineteen percent of total medical expenses in korea. This study is to investigate the laboratory function and spatial composition of the department and figure out the space area and space organization. Methods: Explore the literature review to identify the laboratory function. Limit to five cases of tertiary level general hospital having about a thousand bed and analyze the space layout and floor area to confirm the spatial composition. Classify the exam function and check the spatial composition and spatial organization. Results: This study allows 5 conclusions to be summarized. Laboratory medicine divided into nine part in regulation, but in space allocated into core lab, emergency lab and six part lab. Total laboratory area is $2,036m^2$ in average, and is composited with 60% for lab, 17% for office and 20% for public. Lab area per a bed presents $1.88m^2$. Microbiolgy and molecular lab area are getting large. Laboratory space organized into the four zone, like an entrance zone, core zone, rear zone and peripheral zone. Emergency and transfusion lab are allocated in entrance zone, hematology chemistry and immunology in core lab, microbiology and molecular lab in rear, support offices in peripheral zone. The most important point was to check the spatial composition of the Laboratory Medicine according to the inspection function. Implications: This study can be used as a useful data in planning and designing a Laboratory Medicine Department.

• Journal of the Korean housing association
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• v.22 no.5
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• pp.37-46
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• 2011

Residential space has come to maintain a degree of specialization dependent upon the division of space according to function, while roles and functions have either expanded or ceased to exist corresponding to shifts in social values. However, various human behaviors connected to lifestyle habits and values are in fact becoming obsolete. This research will examine the mental, social, and functional aspects of the relationship between residential work spaces in modern homes and the sarangche as well as the communal space of daily and social life of the Chosun Dynasty to enhance the value and function of traditional residential space. As the boundary between family and work blurs with the home office environment of today, we are experiencing a deterioration of health and seeing problems in securing family domain as well as the prolonging of overwork. While the function of the traditional sarangchae encompassed a wider variety of activities than today's homes, the sarangchae achieved an efficient use of space divisions between rooms according to the particular purpose and situation. Accordingly, a reinterpretation of modern residential work space is needed through its connection to the sarangchae with consideration to the philosophy and values of the life of the noble class and the habits of our traditional lifestyle that have previously taken place within the sarangchae in an exterior space.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.41 no.6 s.324
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• pp.79-86
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• 2004

In the integration of Sommerfeld type for space domain Green's function, a accurate closed-from Green's function method provides more exact solution than the typical complex image method and two-level method. The accurate closed-form Green's function method is applied to obtain the space domain Green's functions of planar structures with general sources. Please put the abstract of paper here.

• Proceedings of the KAIS Fall Conference
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• 2003.11a
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• pp.243-246
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• 2003

This system is unionized form about GPS and a pocket game machine. This game machine of the use only for the game with an existing system but the function of various purposes which carries out service relevant to a user's position information. This system have the game function, the function to offer space guidance service by the theme interlocked with a user's position, and the traffic safety education function.