• Title/Summary/Keyword: E.A. property

Search Result 1,324, Processing Time 0.028 seconds

ON THE MODERATE DEVIATION TYPE FOR RANDOM AMOUNT OF SOME RANDOM MEASURES

  • Hwang, Dae Sik
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.13 no.2
    • /
    • pp.19-27
    • /
    • 2001
  • In this paper we study another kind of the large deviation property, i.e. moderate deviation type for random amount of random measures on $R^d$ about a Poisson point process and a Poisson center cluster random measure.

  • PDF

On the Topological Stability in Dynamical Systems

  • Koo, Ki-Shik
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.7 no.1
    • /
    • pp.199-209
    • /
    • 1994
  • In this paper, we show that a persistent dynamical system is structurally stable with respect to $E_{\alpha}$(X) for every ${\alpha}$ > 0 if it is expansive. Also, we prove that a homeomorphism$ f:{\Omega}(f){\rightarrow}{\Omega}(f)$ has the semi-shadowing property then so does $f:\overline{C(f)}{\rightarrow}\overline{C(f)}$.

  • PDF

A Comparative Analysis of Instructional Methods on the Properties of Multiplication in Elementary Mathematics Textbooks of Korea, Japan, and the US (한국, 일본, 미국의 초등학교 수학교과서에서 범자연수 곱셈의 연산 성질을 지도하는 방안에 대한 비교·분석)

  • Sunwoo, Jin
    • Education of Primary School Mathematics
    • /
    • v.22 no.3
    • /
    • pp.181-203
    • /
    • 2019
  • Even though the properties of operations in multiplication serve a fundamental basis of conceptual understanding the multiplication with whole numbers for elementary students, there has been lack of research in this field. Given this, the purpose of this study was to analyze instructional methods related to the properties of operations in multiplication (i.e., commutative property of multiplication, associative property of multiplication, distributive property of multiplication over addition) in a series of mathematics textbooks of Korea, Japan, and the US. The overall analysis was conducted in the following two aspects: (a) when and how to deal with the properties of multiplication in three instructional context (i.e., introduction, application, generalization), and (b) what models use to represent the properties of multiplication. The results of this showed that overall similarities in introducing the properties of multiplication .in (one digit) ${\times}$ (one digit) as well as emphasizing the divers representation. However, subtle but meaningful differences were analyzed in applying and generalizing the properties of multiplication. Based on these results, this paper closes with some implications on how to teach the properties of operations in multiplication properties in elementary mathematics.

Dynamic Sensitivity Level Measurement for Privacy Protection (개인정보보호 강화를 위한 동적 보안수준 결정)

  • Jang, In-Joo;Yoo, Hyeong-Seon
    • The Journal of Society for e-Business Studies
    • /
    • v.17 no.1
    • /
    • pp.137-150
    • /
    • 2012
  • For social demand and technological development, systematic private information management and security guidance have been enhanced; however, the issue of leakage and invasion of private information is shown in many ways. In the management of such private information, the issue of how to protect such information is one of the sensitive key elements. As a criterion to decide the management policy of each property information consisting of private information, this article suggests Dynamic-Security-Level-Measurement for property information. DSLM adopts the variable characteristics of property information as the element of measurement. By applying this method, it is possible to provide information management functions to cope with the changes of each property information security level of an individual actively. It is expected that this will improve the security of previous information management methods even more and also contribute to the improvement of security in integrated systems such as the integrated ID management system and electronic wallet.

A study on invention.intellectual property education content reflection status and needs analysis in secondary vocational education (중등단계 직업교육에서의 발명.지식재산 교육내용 반영 실태 및 요구 분석 연구)

  • Lee, Byung-Wook;Lee, Chan-Joo;Lee, Sang-Hyun
    • 대한공업교육학회지
    • /
    • v.39 no.2
    • /
    • pp.1-18
    • /
    • 2014
  • This study took existing invention intellectual property related textbooks being utilized in secondary vocational education, analyzed the formation status of 'key learning elements' reflection ratio and drew optimum key learning elements formation ratio by invention intellectual property education content required in secondary vocational education in the future. For this, the study task was set up as 'what kind and how much of invention intellectual property key learning elements are in the invention intellectual property textbook education content now and what is the desirable ratio of each key learning elements in the future'. To resolve this task, 3 specialists analyzed the invention intellectual property education content reflection status and optimum reflection ratio by invention intellectual property education content required in the future is suggested by Delphi survey. The results of this study are as following. First, the result of analysis on invention intellectual property key learning elements included in the invention patent recognition books being utilized in secondary vocational education was that the books included all key learning elements; however, some textbooks have the trend of concentrating in D area (problem-solving activities). Second, the result of analysis on the reflection ratio by invention intellectual property education content area in the invention patent recognition books being utilized in secondary vocational education was that there was the trend in most textbooks that they concentrate in intellectual property creation area; while some textbooks deal with intellectual property protection area and intellectual property utilization area. Regarding by achievement type, knowledge area was main in all textbooks. Meanwhile, function area is dealt in invention patent basic, invention and problem-solving and design textbooks. Attitude area is not dealt or is dealt insufficiently in most textbooks. Third, the optimum reflection ratio of invention intellectual property education key learning elements required in secondary vocational education in the future as obtained by specialists' delphi survey was that it is necessary to decrease D (problem-solving activities) 17.7% area, E(invention fusion knowledge) 2.9% area, K(patent application) 6.9% and L(patent information investigation) area 9.6%. Regarding the optimum reflection ratio of invention intellectual property education content, it is suggested that the invention literacy area 3.1%, intellectual property creation area 4.5% and intellectual property protection area 10.6% would be decreased; while intellectual property utilization area 17.7% would be increased. Regarding optimum reflection ratio of achievement type, it is suggested that knowledge area 52% would be decreased; while function area 32.3% and attitude area 19.6% would be increased.

Mathematical Modelling of Biofilter for Waste Air Biotreatment (폐가스 처리에 대한 바이오필터의 수학적 모델링)

  • Im, Gwang-Hui
    • KSBB Journal
    • /
    • v.14 no.5
    • /
    • pp.550-560
    • /
    • 1999
  • There have been many research efforts on biofilter modeling including Ottengraf et al. who derived a model equation for the concentration profile of pollutants(e.g., VOCs) in the biolayer and solved their outlet concentration of the waste gas stream through biofilter. However, for most of research works done so far, the effects to explain the effect of adsorption of organic particles to medium(i.e., adsorbent) have been ignored. In this work biofilter modeling accompanying process lumping has been proposed and the theoretical effect of adsorption property of the medium, on the biofilter performance of eliminating organic components in waste gas stream, is intensively discussed.

  • PDF

CONTINUATION THEOREMS OF THE EXTREMES UNDER POWER NORMALIZATION

  • Barakat, H.M.;Nigm, E.M.;El-Adll, M.E.
    • Journal of applied mathematics & informatics
    • /
    • v.10 no.1_2
    • /
    • pp.1-15
    • /
    • 2002
  • In this paper an important stability property of the extremes under power normalizations is discussed. It is proved that the restricted convergence of the Power normalized extremes on an arbitrary nondegenerate interval implies the weak convergence. Moreover, this implication, in an important practical situation, is obtained when the sample size is considered as a random variable distributed geometrically with mean n.

POINCARÉ'S INEQUALITY ON A NEW FUNCTION SPACE Lα(X)

  • Pak, Hee Chul;Chang, Sang-Hoon
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.22 no.3
    • /
    • pp.309-318
    • /
    • 2009
  • We prove the homogeneous property of the norm of the new space $L\alpha(X)$ which has been developed in [3]. We also present $Poincar\acute{e}^{\prime}s$ inequality that is fitted to the function space $L\alpha(X)$ with an appropriate slope condition.

  • PDF

Uniform Ergodicity of an Exponential Continuous Time GARCH(p,q) Model

  • Lee, Oe-Sook
    • Communications for Statistical Applications and Methods
    • /
    • v.19 no.5
    • /
    • pp.639-646
    • /
    • 2012
  • The exponential continuous time GARCH(p,q) model for financial assets suggested by Haug and Czado (2007) is considered, where the log volatility process is driven by a general L$\acute{e}$vy process and the price process is then obtained by using the same L$\acute{e}$vy process as driving noise. Uniform ergodicity and ${\beta}$-mixing property of the log volatility process is obtained by adopting an extended generator and drift condition.

Biaxial Tensile Behaviors of Elastomeric Polymer Networks

  • Shinzo, Kohjiya
    • Elastomers and Composites
    • /
    • v.38 no.2
    • /
    • pp.175-179
    • /
    • 2003
  • For the total description of mechanical behaviors of elastomers, it is necessary to know the so-called rheological constitutive equation i.e. the strain-energy density function (W) in case of elastomers, which necessitates biaxial tensile results of elastic body. This paper first describes the experimental results of biaxial tensile measurements on poly(siloxane) model networks. W was estimated from its differential form i.e. the $1^{st}$ differential of W is stress. The W was found to reproduce the experimental stress-strain results, and the W estimated for silica filled poly(siloxane) networks suggest a different behavior between conventional precipitated silica and in situ formed silica. The difference suggests the different surface property of the two silicas.