• Title/Summary/Keyword: property (M)

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DILATIONS FOR POLYNOMIALLY BOUNDED OPERATORS

  • EXNER, GEORGE R.;JO, YOUNG SOO;JUNG, IL BONG
    • Journal of the Korean Mathematical Society
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    • v.42 no.5
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    • pp.893-912
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    • 2005
  • We discuss a certain geometric property $X_{{\theta},{\gamma}}$ of dual algebras generated by a polynomially bounded operator and property ($\mathbb{A}_{N_0,N_0}$; these are central to the study of $N_{0}\timesN_{0}$-systems of simultaneous equations of weak$^{*}$-continuous linear functionals on a dual algebra. In particular, we prove that if T $\in$ $\mathbb{A}$$^{M}$ satisfies a certain sequential property, then T $\in$ $\mathbb{A}^{M}_{N_0}(H) if and only if the algebra $A_{T}$ has property $X_{0, 1/M}$, which is an improvement of Li-Pearcy theorem in [8].

A WEAKER NOTION OF THE FINITE FACTORIZATION PROPERTY

  • Henry Jiang;Shihan Kanungo;Hwisoo Kim
    • Communications of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.313-329
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    • 2024
  • An (additive) commutative monoid is called atomic if every given non-invertible element can be written as a sum of atoms (i.e., irreducible elements), in which case, such a sum is called a factorization of the given element. The number of atoms (counting repetitions) in the corresponding sum is called the length of the factorization. Following Geroldinger and Zhong, we say that an atomic monoid M is a length-finite factorization monoid if each b ∈ M has only finitely many factorizations of any prescribed length. An additive submonoid of ℝ≥0 is called a positive monoid. Factorizations in positive monoids have been actively studied in recent years. The main purpose of this paper is to give a better understanding of the non-unique factorization phenomenon in positive monoids through the lens of the length-finite factorization property. To do so, we identify a large class of positive monoids which satisfy the length-finite factorization property. Then we compare the length-finite factorization property to the bounded and the finite factorization properties, which are two properties that have been systematically investigated for more than thirty years.

DENSITY OF D-SHADOWING DYNAMICAL SYSTEM

  • Kim, J.M.;Kim, S.G.
    • Korean Journal of Mathematics
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    • v.13 no.1
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    • pp.91-101
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    • 2005
  • In this paper, we give the notion of the D-shadowing property, D-inverse shadowing property for dynamical systems. and investigate the density of D-shadowing dynamical systems and the D-inverse shadowing dynamical systems. Moreover we study some relationships between the D-shadowing property and other dynamical properties such as expansivity and topological stability.

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A Design of LDO(Low Dropout Regulator) with Enhanced Settling Time and Regulation Property (정착시간과 레귤레이션 특성을 개선한 LDO(Low Dropout Regulator)의 설계)

  • Park, Kyung-Soo;Park, Jea-Gun
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.60 no.3
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    • pp.126-132
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    • 2011
  • A conventional LDO(Low Dropout Regulator) uses one OPAMP and one signal path. This means that OPAMP's DC Gain and Bandwidth can't optimize simultaneously within usable power. This also appears that regulation property and settling time of LDO can't improve at the same time. Based on this idea, a proposed LDO uses two OPAMP and has two signal path. To improve regulation property, OPAMP where is used in the path which qualities DC gain on a large scale, bandwidth designed narrowly. To improve settling time, OPAMP where is used in the path which qualities DC gain small, bandwidth designed widely. A designed LDO used 0.5um 1P2M process and provided 200mA of output current. A line regulation and load regulation is 12.6mV/V, 0.25mV/mA, respectively. And measured settling time is 1.5us in 5V supply voltage.

Natural Frequencies of Simply Supported Tapered Beams (단순지지 변단면보의 고유진동수 산정)

  • 안성기;김순철;이수곤
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.137-144
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    • 1999
  • The finite element method was adopted to find out the natural frequencies of a sinusoidally tapered beam with simply supported boundary conditions. The parameters considered in the numerical analysis are the taper parameter, $\alpha$ ($\alpha$=0.0, 0.1, ~ , 2.0) and the sectional property parameters, m and n [(m, n):(0, 2), (1, 3), (2, 4)]. It is generally known that the results of the numerical analysis corresponding to each pair of sectional property parameters, (m, n) are represented by second order polynominals of $\alpha$ . The coefficients of a in the polynominals are determined by using the regression technique, which reveals small m in most cases of given sectional property parameters (m, n).

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Mane genericity theorem for differentiable maps

  • Lee, Kyung-Bok
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.385-392
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    • 1996
  • Smale [16] posed the following question; is having an attracting periodic orbit a generic property for diffeomorphisms of two-sphere $S^2\ulcorner$(A generic property of $f \in Diff(M)$ is one that is true for a Baire set in Diff(M)). Mane[5] and Plykin[13] had an positive answer for Axiom A diffeomorphisms of $S^2$. To explain our theorem, we begin by briefly recalling stability conjecture posed by palis and smale.

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Weak Strictly Persistence Homeomorphisms and Weak Inverse Shadowing Property and Genericity

  • Honary, Bahman;Bahabadi, Alireza Zamani
    • Kyungpook Mathematical Journal
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    • v.49 no.3
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    • pp.411-418
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    • 2009
  • In this paper we introduce the notions of strict persistence and weakly strict persistence which are stronger than those of persistence and weak persistence, respectively, and study their relations with shadowing property. In particular, we show that the weakly strict persistence and the weak inverse shadowing property are locally generic in Z(M).