• Applied Microscopy
• /
• v.34 no.4
• /
• pp.211-221
• /
• 2004

In this review, the kinematical scattering theorems are explained by means of Fourier transformation of the assemblies of atoms. The reciprocal space and the generalized Patterson function are introduced. The scatterings of real monatomic gas or liqiud and the hydrogen atoms are described as examples.

• Kyungpook Mathematical Journal
• /
• v.48 no.4
• /
• pp.613-622
• /
• 2008

In this article we introduce some difference sequence spaces defined by Orlicz function and study different properties of these spaces like completeness, solidity, symmetricity etc. We establish some inclusion results among them.

• Earthquakes and Structures
• /
• v.9 no.2
• /
• pp.305-320
• /
• 2015

The present paper is devoted to study SH-wave propagation in heterogeneous layer laying over an inhomogeneous isotropic elastic half-space. The dispersion relation for propagation of said waves is derived with Green's function method and Fourier transform. As a special case when the upper layer and lower half-space are homogeneous, our derived equation is in agreement with the general equation of Love wave. Numerically, it is observed that the velocity of SH-wave increases with the increase of inhomogeneity parameter.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.10 no.2
• /
• pp.124-127
• /
• 2010

In this paper, we introduce the concepts of fuzzy r-minimal continuous function and fuzzy r-minimal open function between a fuzzy r-minimal space and a fuzzy topological space. We also investigate characterizations and properties for such functions.

• The Pure and Applied Mathematics
• /
• v.27 no.2
• /
• pp.97-108
• /
• 2020

In this paper, we prove common fixed point theorems for two mappings by using simulation function on fuzzy metric spaces. We also deduce some consequences in modular metric spaces.

• Journal of the Chungcheong Mathematical Society
• /
• v.24 no.2
• /
• pp.303-311
• /
• 2011

Every topology is generated by a quasi-uniform distance system. The quasi-uniform distance system is a uniform distance system. The topology is uniformizable if and only if it is generated by the uniform distance system with the symmetric distance function.

• Journal of the Korean housing association
• /
• v.16 no.1
• /
• pp.65-72
• /
• 2005

With the changing consciousness of community people and the rising standard of living, there has recently been an emphasis on the creation of public facilities' new functions and their role as local community facilities. This changing trends are accordingly requiring a change in spatial structure of the public facilities. In this study, an analysis was conducted with 24 public facilities situated in the Buk-gu district of Daegu to identify the adequacy of their space scale after functional variation. The results of this study are summarized as follows. 1) The site area of public facilities has been being widened after functional variation since more spaces are needed to provide an outdoor resting space with community people, expand a parking space, and operate a community center. 2) The factors that had a direct effect on the change in the use of space are the reduced space for administrative work and the expanded scope of the community center's function. Specifically, the areas of activities for civil service and administrative work and for reserve forces have been reduced due to reduction of function, and floor division by each function group has been becoming stricter due to addition of a community center's function. 3) It was shown that in terms of the space for functions of public facilities, spaces for civil service and waiting have increased mostly after function variation. After functional variation, the scale of spaces for civil service and administrative work has been being planned within the range of $200\~300 m^2$, regardless of the number of population to be covered by public facilities. 4) The space for public use is showing the greatest increase in public facilities which have been built after functional variation. The major factors seem to be the increased moving passages, the expanded convenient facilities for community people, and the increased convenient facilities for disabled. Facilities scale plans have been being made more systematically, compared to the conventional facilities.

• Journal of the Korean housing association
• /
• v.18 no.3
• /
• pp.19-29
• /
• 2007

This study is aimed at interpreting into changes and characters of function applied into quantative analysis in ubiquitous house. Digital technology being introduced into architectural fields, It applied expansively from design and construction to user's convenience. The application of digital technology is presented to various change like effectiveness and exactness in design and function of space, which is overlayed digital space to physical space beyond the extent of receiving human needs in physical space. In ubiquitous house, digital technologies are supplied to function coordinated with life, appreciating into positional informations of human and materials, spatial informations. Ubiquitous house is comparably effective into funtional expansion, user's convenience, safty, which, for the future, is going to using on housing of high performance encouraging the application of advanced technology. Therefore this study is classified into human behaviors, functions, performances and characters of digital system in ubiquitous house, which being established into the relation of elements, is interpreted numerically into functional changes and charats being applied to ARM.

• Bulletin of the Korean Mathematical Society
• /
• v.48 no.3
• /
• pp.475-489
• /
• 2011

In this paper, we use a generalized Brownian motion to define a generalized analytic Feynman integral. We then obtain some results for the generalized analytic Feynman integral of bounded cylinder functionals of the form F(x) = $\hat{v}$(($g_1,x)^{\sim}$,..., $(g_n,x)^{\sim}$) defined on a very general function space $C_{a,b}$[0,T]. We also present a change of scale formula for function space integrals of such cylinder functionals.

• Korean Journal of Mathematics
• /
• v.23 no.1
• /
• pp.47-64
• /
• 2015

We express generalized Fourier-Feynman transform and convolution product of functionals in a Banach algebra $\mathcal{S}(L^2_{a,b}[0,T])$ as limits of function space integrals on $C_{a,b}[0,T]$. Moreover we obtain change of scale formulas for function space integrals related with generalized Fourier-Feynman transform and convolution product of these functionals.