• 제목/요약/키워드: $C^k$-continuity

검색결과 135건 처리시간 0.023초

On fuzzy c* -continuous mappings

  • Ryou, J.H;Hur, K;Moon, J.R
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.87-90
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    • 1998
  • We introduce the concept of a fuzzy c* -continuity. And we obtain some properties.

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THE SPECTRAL CONTINUITY OF ESSENTIALLY HYPONORMAL OPERATORS

  • Kim, An-Hyun;Ryu, Eun-Jin
    • 대한수학회논문집
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    • 제29권3호
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    • pp.401-408
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    • 2014
  • If A is a unital Banach algebra, then the spectrum can be viewed as a function ${\sigma}$ : 𝕬 ${\rightarrow}$ 𝕾, mapping each T ${\in}$ 𝕬 to its spectrum ${\sigma}(T)$, where 𝕾 is the set, equipped with the Hausdorff metric, of all compact subsets of $\mathbb{C}$. This paper is concerned with the continuity of the spectrum ${\sigma}$ via Browder's theorem. It is shown that ${\sigma}$ is continuous when ${\sigma}$ is restricted to the set of essentially hyponormal operators for which Browder's theorem holds, that is, the Weyl spectrum and the Browder spectrum coincide.

Lp (p ≥ 1) SOLUTIONS OF MULTIDIMENSIONAL BSDES WITH TIME-VARYING QUASI-HÖLDER CONTINUITY GENERATORS IN GENERAL TIME INTERVALS

  • Lishun, Xiao;Shengjun, Fan
    • 대한수학회논문집
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    • 제35권2호
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    • pp.667-684
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    • 2020
  • The objective of this paper is solving multidimensional backward stochastic differential equations with general time intervals, in Lp (p ≥ 1) sense, where the generator g satisfies a time-varying Osgood condition in y, a time-varying quasi-Hölder continuity condition in z, and its ith component depends on the ith row of z. Our result strengthens some existing works even for the case of finite time intervals.

CONTINUITY OF AN APPROXIMATE JORDAN MAPPING

  • Lee, Young-Whan
    • 대한수학회논문집
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    • 제20권3호
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    • pp.505-509
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    • 2005
  • We show that every $\varepsilon-approximate$ Jordan functional on a Banach algebra A is continuous. From this result we obtain that every $\varepsilon-approximate$ Jordan mapping from A into a continuous function space C(S) is continuous and it's norm less than or equal $1+\varepsilon$ where S is a compact Hausdorff space. This is a generalization of Jarosz's result [3, Proposition 5.5].

ON THE CONSTRUCTION AND THE EXISTENCE OF PARAMETRIC CUBIC$g^2$ B-SPLINE

  • Kimn, Ha-Jine
    • 대한수학회논문집
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    • 제10권2호
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    • pp.483-490
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    • 1995
  • A parametric cubic spline interpolating at fixed number of nodes is constructed by formulating a parametric cubic $g^2$ B-splines $S_3(t)$ with not equally spaced parametric knots. Since the fact that each component is in $C^2$ class is not enough to provide the geometric smoothness of parametric curves, the existence of $S_3(t)$ oriented toward the modified second-order geometric continuity is focalized in our work.

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기업의 Business Continuity를 위한 위기관리시스템 개발에 관한 연구;DR. PEAS의 사례연구 (Implementing Crisis Management System;A Case of DR. PEAS)

  • 이영재;김도연
    • 한국IT서비스학회:학술대회논문집
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    • 한국IT서비스학회 2002년도 추계학술대회
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    • pp.459-466
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    • 2002
  • 위기관리의 목적은 각종 재해 ${\cdot}$ 재난으로 인한 비상사태 발생시 기업의 업무를 지속하고, 신속하게 피해 업무를 복구하는데 있다. 이러한 위기관리의 목적 자체는 언제 어디서나 변함이 없지만, 그 구성 내용과 운영 방안은 시대와 장소에 따라 업무 환경에 알맞도록 적절하게 구성되어야 한다. 따라서 본 논문에서는 한국 기업 환경에 적합한 Business Continuity를 위한 위기관리시스템 개발 모델을 DR. PEAS(Disaster Recovery Plan & Execution Automation System)의 사례를 통하여 제시하고자 한다.

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3.9%C 회주철의 진동감쇠능 및 기계적 성질에 미치는 합금원소 첨가의 영향 (Effects of Alloying Elements on the Damping Capacities and Mechanical Properties in 3.9%C Gray Cast Iron)

  • 김정철;손용철;한동운;백승한
    • 열처리공학회지
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    • 제10권1호
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    • pp.47-54
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    • 1997
  • Flake graphite cast irons with the high damping capacity have been used for the control of vibration and noise occuring in the members of various mechanical structures under vibrating conditions. However, the damping capacity which is morphological characteristics of graphite is one of the important factors in reducing the vibration and noise, but hardly any work has deal with this problem. Therefore, the authors have examined the damping capacity of various cast irons with alloying elements and studied the influences of the matrix, mechanical properties and morphological characteristics of graphite. The main results obtained are as follows: Effects of Ni on the damping capacities and mechanical properties are investigated in 3.9%C-0.3% Cu gray cast iron. At 0.2% Ni content, specific damping capacity showed the maximum value, and decreased with further increase in Ni content, Graphite continuity also showed same behavior. This indicates that the specific damping capacity has a close relation with graphite continuity. On the other hand, the damping capacity in pearlite matrix showed superior to that in ferrite. In contrast, with increasing the Ni content, both tensile strength and hardness increased due to the decrease of graphite length and eutectic cell size.

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HOLOMORPHIC MEAN LIPSCHITZ FUNCTIONS ON THE UNIT BALL OF ℂn

  • Kwon, Ern Gun;Cho, Hong Rae;Koo, Hyungwoon
    • 대한수학회지
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    • 제50권1호
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    • pp.189-202
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    • 2013
  • On the unit ball of $\mathbb{C}^n$, the space of those holomorphic functions satisfying the mean Lipschitz condition $${\int}_0^1\;{\omega}_p(t,f)^q\frac{dt}{t^1+{\alpha}q}\;<\;{\infty}$$ is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ${\omega}_p(t,f)$ denotes the $L^p$ modulus of continuity defined in terms of the unitary transformations of $\mathbb{C}^n$.

Assumed strain quadrilateral C0 laminated plate element based on third-order shear deformation theory

  • Shi, G.;Lam, K.Y.;Tay, T.E.;Reddy, J.N.
    • Structural Engineering and Mechanics
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    • 제8권6호
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    • pp.623-637
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    • 1999
  • This paper presents a four-noded quadrilateral $C^0$ strain plate element for the analysis of thick laminated composite plates. The element formulation is based on: 1) the third-order shear deformation theory; 2) assumed strain element formulation; and 3) interrelated edge displacements and rotations along element boundaries. Unlike the existing displacement-type composite plate elements based on the third-order theory, which rely on the $C^1$-continuity formulation, the present plate element is of $C^0$-continuity, and its element stiffness matrix is evaluated explicitly. Because of the third-order expansion of the in-plane displacements through the thickness, the resulting theory and hence elements do not need shear correction factors. The explicit element stiffness matrix makes the present element more computationally efficient than the composite plate elements using numerical integration for the analysis of thick layered composite plates.