• 한국실내디자인학회논문집
• /
• 제18권6호
• /
• pp.77-84
• /
• 2009

Daylighting is one of the major elements in architectural design. It also plays an important role in the museums focused on displaying artistic works. Many architects have tried to predict daylighting performances in exhibition spaces during the design process of museums. The aims of this study are to present the design methods using the computer program RADIANCE that is available for the evaluations of daylighting performances in indoor space and to help architects design daylighting systems for better exhibition spaces of museums. For this study, Seoul Museum of Art was chosen and it was evaluated the recommended illuminance and the impacts of direct sunlight under the conditions of overcast sky and clear sky with sun. According to simulation results, they indicated that the alternative toplight system(sawtooth shape) was more effective for daylighting of exhibition spaces than the existing toplight system(pyramid shape) and this study showed a method to evaluate daylighting effects in exhibition spaces with various shapes of toplight systems.

• 대한수학회지
• /
• 제41권1호
• /
• pp.39-50
• /
• 2004

In [25] Taskinen shows that if $\{E_n\}_n\;and\;\{F_n\}_n$ are two sequences of Frechet spaces such that ($E_m,\;F_n$) has the BB-property for all m and n then (${\Pi}_m\;E_m,\;{\Pi}_n\;F_n$) also has the ΒΒ-property. Here we investigate when this result extends to (i) arbitrary products of Frechet spaces, (ii) countable products of DFN spaces, (iii) countable direct sums of Frechet nuclear spaces. We also look at topologies properties of ($H(U),\;\tau$) for U balanced open in a product of Frechet spaces and $\tau\;=\;{\tau}_o,\;{\tau}_{\omega}\;or\;{\tau}_{\delta}$.

• Korean Journal of Mathematics
• /
• 제26권4호
• /
• pp.709-727
• /
• 2018

Here we have studied the ideas of $g^*$-closed sets, $g{\bigwedge}_{{\tau}^-}$ sets and ${\lambda}^*$-closed sets and investigate some of their properties in the spaces of A. D. Alexandroff [1]. We have also studied some separation axioms like $T_{\frac{\omega}{4}}$, $T_{\frac{3\omega}{8}}$, $T_{\omega}$ in Alexandroff spaces and also have introduced a new separation axiom namely $T_{\frac{5\omega}{8}}$ axiom in this space.

• 대한건축학회논문집:계획계
• /
• 제35권2호
• /
• pp.115-125
• /
• 2019

The purpose of this study is to analyze the occurrence characteristics of vacant spaces in the old hillside residential area, focused on 7 areas surrounding old downtown in Busan. This study suggests 3 stages of analysis as following. First, after the overall site survey on the vacant spaces in 7 old hillside residential areas in Busan, this study identifies the difference of types of vacant spaces according to each area. Second, based upon precedent researches, this study set up 3 perspectives and 9 analysis indices to investigate the areal characteristics of vacant space occurrence. Third, through the GIS analysis on the vacant spaces, this study tries to analyze the physical, commercial and social/institutional conditions of the areas in order to disclose the areal characteristics of vacant spaces occurrence.

• Kyungpook Mathematical Journal
• /
• 제62권2호
• /
• pp.271-287
• /
• 2022

In this paper, starting with the geometric constants that can characterize Hilbert spaces, combined with the isosceles orthogonality of Banach spaces, the orthogonal geometric constant Ω_X(α) is defined, and some theorems on the geometric properties of Banach spaces are derived. Firstly, this paper reviews the research progress of orthogonal geometric constants in recent years. Then, this paper explores the basic properties of the new geometric constants and their relationship with conventional geometric constants, and deduces the identity of Ω_X(α) and γ_X(α). Finally, according to the identities, the relationship between these the new orthogonal geometric constant and the geometric properties of Banach Spaces (such as uniformly non-squareness, smoothness, convexity, normal structure, etc.) is studied, and some necessary and sufficient conditions are obtained.

• Journal of applied mathematics & informatics
• /
• 제40권3_4호
• /
• pp.657-668
• /
• 2022

In the present paper we introduce and study Euler sequence spaces of fractional difference and backward difference operators. We make an effort to prove that these spaces are BK-spaces and linearly isomorphic. Further, Schauder basis for Euler fractional difference sequence spaces $e^{\varsigma}_{0,p}({\Delta}^{(\tilde{\beta})},\;{\nabla}^m)$ and $e^{\varsigma}_{c,p}({\Delta}^{(\tilde{\beta})},\;{\nabla}^m)$ are also elaborate. In addition to this, we determine the 𝛼-, 𝛽- and 𝛾- duals of these spaces.

• 대한수학회지
• /
• 제60권1호
• /
• pp.33-69
• /
• 2023

Let α ∈ (0, ∞), p ∈ (0, ∞) and q(·) : ℝⁿ → [1, ∞) satisfy the globally log-Hölder continuity condition. We introduce the weak Herz-type Hardy spaces with variable exponents via the radial grand maximal operator and to give its maximal characterizations, we establish a version of the boundedness of the Hardy-Littlewood maximal operator M and the Fefferman-Stein vector-valued inequality on the weak Herz spaces with variable exponents. We also obtain the atomic and the molecular decompositions of the weak Herz-type Hardy spaces with variable exponents. As an application of the atomic decomposition we provide various equivalent characterizations of our spaces by means of the Lusin area function, the Littlewood-Paley g-function and the Littlewood-Paley $g^*_{\lambda}$-function.

• Nonlinear Functional Analysis and Applications
• /
• 제29권2호
• /
• pp.477-485
• /
• 2024

In this work, we will generalize the notion of multivalued (ν, 𝒞)-contraction mapping in 𝑏-Menger spaces and we shall give a new fixed point result of this type of mappings. As a consequence of our main result, we obtained the corresponding fixed point theorem in fuzzy 𝑏-metric spaces. Also, an example will be given to illustrate the main theorem in ordinary 𝑏-metric spaces.

• 정보과학회지
• /
• 제26권3호
• /
• pp.15-25
• /
• 2008

• 대한수학회논문집
• /
• 제12권4호
• /
• pp.905-909
• /
• 1997

A characterization of Hilbert spaces is given in terms of four boundary points and two interior points of the unit sphere.