• Communications of the Korean Mathematical Society
• /
• v.36 no.1
• /
• pp.121-134
• /
• 2021

In this paper we introduce the notion of paranormed p-absolutely convergent and paranormed Cesro summable sequences of complex uncertain variables with respect to measure, mean, distribution etc. defined by on Orlicz function. We have established some relationships among these notions as well as with other classes of complex uncertain variables.

• Journal of the Chungcheong Mathematical Society
• /
• v.23 no.3
• /
• pp.471-479
• /
• 2010

For a complex regular Borel measure ${\mu}$ on ${\Omega}$ which is a subset of ${\mathbb{C}}^k$, where k is a positive integer we define the Toeplitz operator $T_{\mu}$ on a reproducing analytic space which comtains polynomials. Using every symmetric polynomial is a polynomial of elementary polynomials, we show that if $T_{\mu}$ has finite rank then ${\mu}$ is a finite linear combination of point masses.

• Communications of the Korean Mathematical Society
• /
• v.10 no.1
• /
• pp.207-213
• /
• 1995

Let $(\Omega, F, P)$ be a probability space with F a $\sigma$-algebra of subsets of the measure space $\Omega$ and P a probability measure on $\Omega$. Suppose $a > 0$ and let $(F_t)_{t \in [0,a]}$ be an increasing family of sub-$\sigma$-algebras of F. If $r > 0$, let $J = [-r,0]$ and $C(J, R^n)$ the Banach space of all continuous paths $\gamma : J \to R^n$ with the sup-norm $\Vert \gamma \Vert = sup_{s \in J}$\mid$\gamma(s)$\mid$$ where $$\mid$\cdot$\mid$$ denotes the Euclidean norm on $R^n$. Let E,F be separable real Banach spaces and L(E,F) be the Banach space of all continuous linear maps $T : E \to F$.

• Journal of the Chungcheong Mathematical Society
• /
• v.28 no.2
• /
• pp.251-259
• /
• 2015

Let $\mathbb{F}^d_q$ be a d-dimensional vector space over a finite field $\mathbb{F}^d_q$ with q elements. We endow the space $\mathbb{F}^d_q$ with a normalized counting measure dx. Let ${\sigma}$ be a normalized surface measure on an algebraic variety V contained in the space ($\mathbb{F}^d_q$, dx). We define the restricted averaging operator AV by $A_Vf(X)=f*{\sigma}(x)$ for $x{\in}V$, where $f:(\mathbb{F}^d_q,dx){\rightarrow}\mathbb{C}$: In this paper, we initially investigate $L^p{\rightarrow}L^r$ estimates of the restricted averaging operator AV. As a main result, we obtain the optimal results on this problem in the case when the varieties V are any nondegenerate algebraic curves in two dimensional vector spaces over finite fields. The Fourier restriction estimates for curves on $\mathbb{F}^2_q$ play a crucial role in proving our results.

• Communications of the Korean Mathematical Society
• /
• v.15 no.4
• /
• pp.715-721
• /
• 2000

It is known that one can generate functions distributed according to ${\gamma}$-fold Wiener measure. So we could estimate the average case errors in a similar way as in Monte-Carlo method. Hence we study the basic properties of the generator of random functions. n addition, because the ${\gamma}$-fold Wiener process is truly infinitely dimensional and a computer can only handle finitely dimensional spaces, we study in this paper, the properties of generator for an m-dimensional approximation of the ${\gamma}$-fold Wiener process.

• Proceedings of the SAREK Conference
• /
• 2007.11a
• /
• pp.99-104
• /
• 2007

Tracer gas technique is widely used to measure the ventilation rates and/or ventilation effectiveness of building spaces. However, the conventional method using a single tracer gas can measure only outdoor air change rates in a single zone. This paper deals with the multi-gas tracer technique to measure air exchange rates between rooms. Interzonal air movements are important to characterize overall ventilation performance of complicated multi-zone buildings. Experiments are conducted in a simple two-room model with known airflow rates using tracer gases of SF6 and R134a. The concentration decays of two tracer gases are measured after simultaneous injections in each room. The governing equations are derived from the continuity and the mass balance of each room. The data reduction procedure are developed to obtain the inter-room airflow rates using the governing matrix inversion, and various data manipulation methods are tested, such as data shift, interpolation, smoothing, and etc, to improve the estimate and interpretation of the results.

• Journal of Institute of Control, Robotics and Systems
• /
• v.6 no.1
• /
• pp.66-72
• /
• 2000

As the demand for the design of modular manipulators or special purpose manipulators has increased, task based design to design an optimal manipulator for a given task become more and more important. However, the complexity with a large number of design parameters, and highly nonlinear and implicit functions are characteristics of a general manipulator design. To achieve the goal of task based design, it is necessary to develop a methodology to solve the complexity. This paper addresses how to determine the kinematic parameters of a two-degrees of freedom manipulator with parallelogram five-bar link mechanism from a given task, namely, how to map a given task into the kinematic parameters. With simplified example of designing a manipulator with five-bar link mechanism, the methodology for task based design is presented. And it introduces formulations of a given task and manipulator specifications, and presents a new dexterity measure for manipulator design. Also the optimization problem with constraints is solved by using a genetic algorithm that provides robust search in complex spaces.

• Journal of the Korean Society of Environmental Restoration Technology
• /
• v.8 no.2
• /
• pp.56-64
• /
• 2005

The objective of this study is to provide basic data for building better exterior spaces for stadiums in the future by analyzing the behavior of users, such as the satisfaction measure and the physical environment, after using the exterior space at an existing stadium. To achieve this, multiple methods of data gathering and analyses such as field surveys, documentary surveys, and questionnaires research were used in this study. In the survey of user satisfaction, regression analysis was conducted on all factors. Factor analysis was conducted on the variables that were classified into physical, functional, social, and psychological factors. The factors were then tested and based on the results, multiple regression analysis was conducted to measure the effects of the factors concerning satisfaction. A questionnaire research on the use of the exterior space of a stadium as well as the social and economic backgrounds of the users was also conducted in order to utilize the results for the basic data for analysis of satisfaction. According to the results of this study, the exterior space of a stadium satisfied overall expectations. However, it is deemed important to introduce various facilities and activity programs and to improve the exterior spaces for users in building stadiums in the future.

• Journal of Korean Society for Geospatial Information Science
• /
• v.15 no.3
• /
• pp.11-18
• /
• 2007

Recently 3D GIS and its applications are getting attention increasingly as various ubiquitous-related techniques for 3D spaces are being developed. Although they call for quantitative measures such as accessibility, most accessibilityrelated studies are limited to 2D networks, not 3D indoor space levels. In this paper, we develop an accessibility index applicable to 3D models. We first examine the theory of Space Syntax which has been developed and used to measure the connectivity or relationships between spatial segments in urban or architectural environments. Then, we expand the principle to a more general form so it can be applied to both street and indoor space levels. We incorporate different types of impedances in moving between places including distances, turns and transfers between floors into the traditional Space Syntax that measures the spatial depths solely based on the structural forms. Finally, we illustrate the use of the proposed measure comparatively using a campus building.

• Proceeding of Spring/Autumn Annual Conference of KHA
• /
• 2011.04a
• /
• pp.121-126
• /
• 2011

This study is a preliminary study to develop design guidelines on shared spaces of apartment for healthy housing. It was tried to set the basic direction of the guideline development by comparing and analyzing related literatures based on the previously identified evaluation indicators of healthy housing of apartment. The major findings were as followings: 1) based on the research conducted before, the characters of shared spaces for healthy housing were classified as physical, mental and social dimensions. 2) According to the comparison and analysis of relevant standards and guidelines, focuses were mostly on the physical dimension, particularly on the human traffic lines of the convenience attributes. Other focuses were on the attractiveness of the apartment complex of the vitality attribute under the mental dimension, and community facilities of the residential stability attributes under the social dimension. Therefore, it was identified that it is required to take complementary measure regarding mental and social dimensions, and design concrete steps to include different attributes of each dimension, in order to develop comprehensive guidelines for shared space.