• 제목/요약/키워드: stability of category

검색결과 75건 처리시간 0.031초

A MEASURE ZERO STABILITY OF A FUNCTIONAL EQUATION ASSOCIATED WITH INNER PRODUCT SPACE

  • Chun, Jaeyoung;Rassias, John Michael
    • 대한수학회지
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    • 제54권2호
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    • pp.697-711
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    • 2017
  • Let X, Y be real normed vector spaces. We exhibit all the solutions $f:X{\rightarrow}Y$ of the functional equation f(rx + sy) + rsf(x - y) = rf(x) + sf(y) for all $x,y{\in}X$, where r, s are nonzero real numbers satisfying r + s = 1. In particular, if Y is a Banach space, we investigate the Hyers-Ulam stability problem of the equation. We also investigate the Hyers-Ulam stability problem on a restricted domain of the following form ${\Omega}{\cap}\{(x,y){\in}X^2:{\parallel}x{\parallel}+{\parallel}y{\parallel}{\geq}d\}$, where ${\Omega}$ is a rotation of $H{\times}H{\subset}X^2$ and $H^c$ is of the first category. As a consequence, we obtain a measure zero Hyers-Ulam stability of the above equation when $f:\mathbb{R}{\rightarrow}Y$.

STABILITY OF PEXIDERIZED JENSEN AND JENSEN TYPE FUNCTIONAL EQUATIONS ON RESTRICTED DOMAINS

  • Choi, Chang-Kwon
    • 대한수학회보
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    • 제56권3호
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    • pp.801-813
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    • 2019
  • In this paper, using the Baire category theorem we investigate the Hyers-Ulam stability problem of pexiderized Jensen functional equation $$2f(\frac{x+y}{2})-g(x)-h(y)=0$$ and pexiderized Jensen type functional equations $$f(x+y)+g(x-y)-2h(x)=0,\\f(x+y)-g(x-y)-2h(y)=0$$ on a set of Lebesgue measure zero. As a consequence, we obtain asymptotic behaviors of the functional equations.

착용자 인상효과의 시간적 안정성 -의복범주, 유행성, 착용자의 체형 변인을 중심으로 - (Temporal Stability of Wearer′s Impression Effect - The Accent of Garment Category, Fashion-Level and Wearer′s Body Type -)

  • 김재숙;김희숙
    • 복식문화연구
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    • 제10권1호
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    • pp.28-36
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    • 2002
  • The purposes of the study were to investigate the effect of garment category, fashion-level and wearer's body type on the basis of temporal stability and to extend the contextual framework. The result was as follows 1) On the basis of temporal stability, Korean style, classic style, and large body type have more temporal stability than western style, fashionable style, normal body type. 2) On the basis of temporal stability of impression dimension, impression of appearance knave most temporal stability, next good-bad, next evaluation, next potency, and sociability. 3) In an interaction effect between measuring time and impression of evaluation, western, fashionable, classic style have the greatest interaction effect. In an interaction effect between measuring time and impression of appearance, western style, normal body type have the greatest interaction effect. In an interaction effect between measuring time and impression of good-bad, western, fashionable style have the greatest interaction effect. It is concluded that the results support the context framework on impression formation.

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English /s/ and Korean sh/-/s*/ Contrast in Seoul and Busan Dialects: A Study of Category Solidity

  • Kang, Kyoung-Ho
    • 말소리와 음성과학
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    • 제4권3호
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    • pp.3-12
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    • 2012
  • The primary goal of the current study was to examine category solidity of Korean alveolar fricatives in the Busan and Seoul dialects of Korean. Considering the common belief of $/s^h/-/s^*/$ neutralization in Kyungsang speech, plain $/s^h/$ and fortis $/s^*/$ fricatives of Busan speakers were examined against the same fricatives of Seoul speakers. Perceptual distance between Korean $/s^h/$ and $/s^*/$ on the one hand and English /s/ on the other was investigated by use of across-linguistic mapping method. Two experiments of a perceptual mapping task of English /s/ to Korean $/s^h/$ and $/s^*/$ and a $/s^*/$-production task were conducted on users of the Busan and Seoul dialects of Korean. The results from the perception and production experiments suggested that at a micro-level, younger Busan speakers have less solid category stability for Korean $/s^*/$ compared with Seoul speakers, although their production of $/s^h/$ and $/s^*/$ was as highly distinctive from each other as that of Seoul speakers.

Robust Stability Analysis of an Uncertain Nonlinear Networked Control System Category

  • Fei Minrui;Yi Jun;Hu Huosheng
    • International Journal of Control, Automation, and Systems
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    • 제4권2호
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    • pp.172-177
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    • 2006
  • In the networked control system (NCS), the uncertain network-induced delay and nonlinear controlled object are the main problems, because they can degrade the performance of the control system and even destabilize it. In this paper, a class of uncertain and nonlinear networked control systems is discussed and its sufficient condition for the robust asymptotic stability is presented. Further, the maximum network-induced delay that insures the system stability is obtained. The Lyapunov and LMI theorems are employed to investigate the problem. The result of an illustrative example shows that the robust stability analysis is sufficient.

과학 교수-학습 자료 지원 웹사이트에 대한 초등 교사들의 요구 (Elementary School Teachers' Needs for the Website Providing Science Instructional Materials)

  • 강석진;송혜성;고한중;신영준;전영석;차의영;오필석;송영욱
    • 한국초등과학교육학회지:초등과학교육
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    • 제29권1호
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    • pp.22-31
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    • 2010
  • In this study, elementary school teachers' needs for the website providing science instructional materials were examined. The participants were 151 elementary school teachers. The test for needs analysis consisted of fifty-three Likert-type items; 24 items for the content of website category and 29 items for the design of website category. Variables about participants' characteristics such as teaching career, the capability of using computers, and the frequencies of searching websites in obtaining science instructional materials were also examined. The results indicated that teachers' needs for the content of website category were significantly higher than those for the design of website category. Teachers' needs were relatively higher in the items concerning flawless materials, consistency of materials with science curriculum and/or learning objectives, information about target grade and/or related topics, free website, and the materials capable of immediate use in the content of website category. The items concerning the stability of website, the accuracy of links, providing easy and reliable searching methods, easy and fast downloading, and providing list of loaded materials showed relatively higher needs in the design of website category. In several items, teachers' needs were also changed with their individual characteristics.

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미니스크류 식립 각도 및 부위에 대한 3차원적 연구 (Three Dimensional Study of Miniscrew about Installation Area and Angle)

  • 조희상;이진우
    • 구강회복응용과학지
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    • 제24권2호
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    • pp.203-211
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    • 2008
  • 교정치료에서 고정원의 조절은 치료목적을 달성하기 위한 중요한 고려사항이다. 최근 골에서 쉽게 지지를 얻을 수 있는 미니스크류가 개발되고 발전되어 많은 치료에서 사용되고 있는데, 이러한 미니스크류는 해부학적 구조물들의 손상을 최소화 하면서 안전하게 식립하는 것이 매우 중요하다. 이에 본 연구는 전산화단층촬영 사진을 이용하여 임상적으로 미니스크류를 흔하게 심는 부위이면서 초기 고정이 약한 상악 구치부 협측 부위의 안전성을 평가하고, 식립 각도에 따른 인접치아에 대한 손상가능성을 평가 하고자 하였다. 상악 구치부 협측에서 $1.2{\times}6.0mm$의 미니스크류를 식립하게 되면 일반적으로 CEJ에서 5~8mm 상방에 그리고 피질골 표면에서 3~5mm 내측에 미니스크류의 끝이 위치하게 된다. 이 경우 각 치근 사이의 면적을 측정하였다. 또한 식립각도를 30도, 45도, 60도로 나누어 식립 각도별 치근 사이의 길이를 측정하였다. 대구치와 대구치 사이, 대구치와 소구치 사이, 소구치와 소구치 사이의 3그룹으로 나누어 다음과 같은 결과를 얻었다. 1) 식립부위에 따른 비교에서 제1대구치와 제2대구치 사이에서 치간골의 면적이 유의하게 작았다. 2) 각도에 따른 비교에서 대구치 사이와 소구치와 대구치 사이에서는 더 기울여 식립 하는 것이 안전함을 보였으나, 소구치 사이에서는 식립 각도가 안전성에 크게 영향을 주지 못했다. 이상의 결과를 바탕으로 미니스크류를 식립 할 경우 대구치 사이보다는 대구치와 소구치 사이 또는 소구치 사이가 상대적으로 안전한 부위라는 것을 알 수 있었다. 그리고 대구치 사이와 대구치와 소구치 사이에 식립 할 경우에는 식립 각도가 증가 할수록 안전하다는 것을 알 수 있었다.

APSM의 예측능 평가에 관한 연구 (A study on the Assessment of the Predictability of the APSM)

  • 박기하;윤순창
    • 한국환경과학회지
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    • 제12권3호
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    • pp.265-274
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    • 2003
  • The Pasquill-Gifford stability category is a very important scheme of the Gaussian type dispersion model defined the complex turbulence state of the atmosphere by A grade(very unstable) to F grade(very stable). But there has been made a point out that this stability category might decrease the predictability of the model because it was each covers a broad range of stability conditions, and that they were very site specific. The APSM (Air Pollution Simulation Model) was composed of the turbulent parameters, i.e. friction velocity(${\mu}$$\_$*/), convective velocity scale($\omega$$\_$*/) and Monin-Obukhov length scale(L) for the purpose of the performance increasing on the case of the unstable atmospheric conditions. And the PDF (Probability Density Function)model was used to express the vertical dispersion characteristics and the profile method was used to calculate the turbulent characteristics. And the performance assessment was validated between APSM and EPA regulatory models(TEM, ISCST), tracer experiment results. There were very good performance results simulated by APSM than that of TEM, ISCST in the short distance (<1415 m) from the source, but increase the simulation error(%) to stand off the source in others. And there were differences in comparison with the lateral dispersion coefficient($\sigma$$\_$y/) which was represent the horizontal dispersion characteristics of a air pollutant in the atmosphere. So the different calculation method of $\sigma$$\_$y/ which was extrapolated from a different tracer experiment data might decrease the simulation performance capability. In conclusion, the air pollution simulation model showed a good capability of predict the air pollution which was composed of the turbulent parameters compared with the results of TEM and ISCST for the unstable atmospheric conditions.

A CASE STUDY ON OPEN PIT MINE ROCK SLOPE STABILITY

  • Um, Jeong-Gi
    • 대한지질공학회:학술대회논문집
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    • 대한지질공학회 2002년도 정기총회 및 학술발표회
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    • pp.109-114
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    • 2002
  • Development of a three-dimensional mine visualization model for a section of the mine is addressed first. Discontinuity orientation and location information was taken from this visualization model for use in slope stability analyses. Estimated shear strength properties of discontinuities and mechanical properties of intact rock from the rock mass samples obtained from the mine are discussed next. The third part of the paper is focused on the results obtained for maximum safe slope angles for the section considered of the mine based on block theory analysis conducted under only the gravitational forces using the mapped discontinuities at the mine. Finally, the effects of water that exist in the rock mass, a tension crack, slope face inclination, overall wedge height and double benching on factor of safety of wedge stability are illustrated through limit equilibrium slope stability analyses conducted on a single tetrahedral wedge belonging to potential key block category that exist in the investigated area of the mine.

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도시 및 농촌지역 사업체 유형별 노동시장 안정성 비교분석: 산업군, 종사자규모 및 존속기간별 유형을 중심으로 (Analysis and Comparison of Labor Market Stability by Business Categories in Urban and Rural Areas : Industrial Group, Employment Size, and Survival Duration)

  • 이제명
    • 농촌계획
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    • 제23권1호
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    • pp.97-112
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    • 2017
  • Stability of labor market in rural areas was analyzed in this paper with categories of industrial group, employment scale, surviving period, and founder group. The stability of each classified labor market was compared with each other to figure out the stable business class and the unstable class in rural areas. The results of rural areas were compared with those of urban areas. The stability was analyzed with average and coefficient of variation (C.V.) of annual total employees' change rates. It was revealed that labor market of 'primary industry', including agriculture, is unstable. Especially, labor market of 'mid-size' and 'primary industry' businesses founded as 'incorporated company' in rural areas is vulnerable. While labor market of 'large-size' is proved to be unstable, it is confirmed that 'small-size' or 'mid-size', and 'over-ten-year survived' businesses have positive contribution to the stable labor market in rural and urban areas. The results show that the stability of labor market is different in each category of business and in each region of rural or urban area. It is expected that the results can be utilized for the regional development policies, of labor and industry part.