• Kyungpook Mathematical Journal
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• v.48 no.2
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• pp.223-232
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• 2008

We estimate the real rank of CCR C*-algebras under some assumptions. A applications we determine the real rank of the reduced group C*-algebras of non-compac connected, semi-simple and reductive Lie groups and that of the group C*-algebras of connected nilpotent Lie groups.

• Bulletin of the Korean Mathematical Society
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• v.35 no.1
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• pp.63-74
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• 1998

Our study is dedicated to the the proof of uniqueness of solution of initially boundary value problem in Elastodynamics of initially stressed bodies with voids. This proof is obtained without recourse either to an energy conservation law or to any boundedness assumptions on the elastic coefficients.

• Bulletin of the Korean Mathematical Society
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• v.36 no.2
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• pp.287-303
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• 1999

The general solution of the functional equation f1(pr, qs) + f2(ps, qr) = g(p,q) + h(r,s) for p, q, r, s $\in$] 0, 1[will be investigated without any regularity assumptions on the unknown functions f1, f2, g, h:]0.1[->R.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.1
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• pp.65-73
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• 2011

In this note we present some necessary and sufficient conditions for the hyponormality of Toeplitz operators $T_{\varphi}$ under certain assumptions concerning the trigonometric polynomial symbol ${\varphi}$.

• Nonlinear Functional Analysis and Applications
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• v.27 no.3
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• pp.621-640
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• 2022

The aim of this study is to establish some mean convergence theorems for double array of fuzzy random variables in metric space endowed with a convex combination operation under various assumptions.

• East Asian mathematical journal
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• v.39 no.1
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• pp.87-92
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• 2023

In this paper, we study the nonlinear hyperbolic system with epsilon perturbation s_tt - div[c(x)∇s] + (ε - 1)s_t = |s|^γs. Under the conditions of c, γ and other assumptions, we prove the exponential behavior rates of the modified energy perturbation.

• Journal of the Korean Statistical Society
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• v.4 no.1
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• pp.33-38
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• 1975

In the use of traditional autogressive linear equation, there are number of obvious limitations which may not be conventioanally neglected. This paper attempts to disclose some of them with respect to the assumptions made about error terms, conditions of convergence of the equation, prperties of estimators, etc.

• Bulletin of the Korean Mathematical Society
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• v.60 no.3
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• pp.623-636
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• 2023

In this paper, we prove some vanishing theorems under the assumptions of weighted BiRic curvature or m-Bakry-Émery-Ricci curvature bounded from below.

• The Journal of the Korea Contents Association
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• v.12 no.10
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• pp.466-479
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• 2012

Temple stay has increased fast in the quantitative part recently and it is tourism goods with cultural value as a kind of religion tourism. It is thought that the qualitative development is accompanied with quantitative development at this time. So, in order to increase qualitative improvement, it is needed to confirm mutual relationships among religious involvement, satisfaction factors of performance and behavior intentions of people who takes part in temple stay. Also, this paper confirms whether statistical characteristic of population affects religious involvement or not. 3 assumptions are established for these purposes and all of 3 established assumptions are partly adopted through statistical analyses.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.28 no.6
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• pp.693-700
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• 2004

The probabilistic fracture mechanics(PFM) is a useful analytical tool to assess the integrity of reactor pressure vessel(RPV) at the event of pressurized thermal shock(PTS). In PFM, the probabilities of flaw initiation and propagation are estimated by comparing the applied stress intensity factor with the fracture toughness calculated by the simulation of various stochastic variables. It is known that the results of PFM analyses are dependent on the choice of the stochastic parameters and assumptions. Of the various variables and assumptions, we investigated the effects of the RT$_{NDT}$ shift equations, fracture toughness curves, and flaw distributions on the PFM results for the three PTS transients. The results showed that the combined effects of the RT$_{NDT}$ shift equations and fracture toughness curves are complicated and dependent on the characteristics of the transients, the chemistry of the materials, the fast neutron fluence, and so on.