• Journal of the Korean Society of Safety
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• v.10 no.2
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• pp.17-23
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• 1995

Though the magnitude is decreasing, the compressive residual stress is always distributed during fatigue crack growth near the crack tip. This means that the residual stress is released during fatigue crack growth due to the alternative load. ${\Delta}K_{IV}$ is modified by using the initial residual stress and the redistributed residual stress in uniform and various thickness welded specimens. The former is denoted by ${\Delta}K_{IV.eff.i}$ and the latter is denoted by ${\Delta}K_{IV.eff.i}$. ${\Delta}K_{IV.eff.i}$ gives more accurate relations in da/dN vs. ${\Delta}K_{IV}$ curve, however the difference is very small.

• Journal of applied mathematics & informatics
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• v.30 no.3_4
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• pp.655-663
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• 2012

Based on the elegant properties of the spectral norm and Thompson metric, we firstly give two perturbation estimates for the positive definite solution of the nonlinear matrix equation $$X-\sum^m_{i=1}A^{\ast}_iX^{\delta_i}A_i=Q(0<|{\delta}_i|<1)$$ which arises in an optimal interpolation problem.

• The Transactions of the Korean Institute of Electrical Engineers A
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• v.55 no.12
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• pp.529-535
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• 2006

In DC tracking power supply system, ground faults are currently detected by the potential relay, 64P. Though 64P relay detects ground fault, it cannot identify the faulted region which causes long traffic delays and safety problem to passengers. A new ground fault protective relay scheme, ${\Delta}I$ ground fault protective relay, that can identify the faulted region is presented in this paper. In ${\Delta}I$ ground fault protective relaying scheme, ground fault is detected by 59, overvoltage relay, which operates ground switch installed between the negative bus and the ground. It preliminarily chooses the faulted feeder after comparing the current increases among feeders and trips the corresponding feeder breaker. After some time delay, it then recloses the breaker if it finds the preselected feeder is not the actual faulted feeder. Whether or not the preselected feeder is the actual faulted feeder is determined by checking the breaker trip status in the neighboring substation in the direction of the tripped breaker. If the corresponding breaker in the neighboring substation is also tripped, it finally judges the preselected feeder is actually a faulted feeder. Otherwise it recloses the tripped breaker. Its algorithms is presented and verified by EMTP simulation.

• Bulletin of the Korean Mathematical Society
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• v.44 no.4
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• pp.789-794
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• 2007

Let R be a 3-torsion free semiprime ring and let I be a nonzero two-sided ideal of R. Suppose that there exists a permuting 3-derivation ${\Delta}:R{\times}R{\times}R{\rightarrow}R$ such that the trace is centralizing on I. Then the trace of ${\Delta}$ is commuting on I. In particular, if R is a 3!-torsion free prime ring and ${\Delta}$ is nonzero under the same condition, then R is commutative.

• Journal of the Korean Society for Nondestructive Testing
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• v.22 no.3
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• pp.267-274
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• 2002

This research is described on the applicability of a electrochemical techniques for evaluating nondestructive material degradation with various polarization characteristics for Cr-Mo-V steel. The applied electrochemical technique is anodic polarization test which are widely used to evaluate the corrosion rate and/or sensitization at depleted zone of strengthening elements mainly caused by thermal experience for stainless steels. The evaluation of material degradation is performed by small punch test which has been well known as micromechanics test method using specimen size of $10{\times}10{\times}0.5mm$. The 1,000hrs aged material at $630^{\circ}C$ shows the highest material degradation$({\Delta}[DBTT]_{SP})$, but the 2,000hrs and 3,000hrs aged materials show the decrease of ${\Delta}[DBTT]_{SP}$ as aging time increases. It is observed that the difference of current density $({\Delta}I_{FP}\;and\;{\Delta}I_{SP})$.

• Proceedings of the Korean Nuclear Society Conference
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• 1995.10a
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• pp.495-499
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• 1995

울진 1,2호기 RSTR 수행 시 울진 1,2호기 기존의 $\Delta$I Band를 해석하기 위해 RAOC방법을 적용 사고 해석을 수행하였다. 먼저 Xenon reconstruction model을 사용 축 방향 Xenon 분포를 생산한 다음, 정상 운전 상태와Condition ll상태에서 생산된 xenon 분포에 의한 축 방향 출력 분포를 사용 $F_{Q}$와 DNBR을 계산, Design Limit와 비교 만족하는 새로운 $\Delta$I band를 결정하였다. 새로운 band는 기존의 Design Limit의 변화를 주지 않으면서 울진 발전소 기존의 $\Delta$I band를 포함하면서 운전상의 유연성 창상을 기하게 되었다.$\Delta$I band를 포함하면서 운전상의 유연성 창상을 기하게 되었다.다.

• Communications of the Korean Mathematical Society
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• v.33 no.4
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• pp.1113-1121
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• 2018

Let R be a prime ring (or semiprime ring) with center Z(R), I a nonzero ideal of R, T an automorphism of $R,S:R^n{\rightarrow}R$ be a symmetric skew n-derivation associated with the automorphism T and ${\Delta}$ is the trace of S. In this paper, we shall prove that S($x_1,{\ldots},x_n$) = 0 for all $x_1,{\ldots},x_n{\in}R$ if any one of the following holds: i) ${\Delta}(x)=0$, ii) [${\Delta}(x),T(x)]=0$ for all $x{\in}I$. Moreover, we prove that if $[{\Delta}(x),T(x)]{\in}Z(R)$ for all $x{\in}I$, then R is a commutative ring.

• Journal of the Korean Chemical Society
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• v.29 no.3
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• pp.239-246
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• 1985

The equilibria of chemical reaction between [Cu(dl-trans-[14]-diene)]$^{2+}$ and L$^{n-}$(S$_2$O$_3^{2-}$, SCN$^-$, I$^-$, NO$_2^-$) ions were studied by the spectrophotometric method in the range of 15 to 35$^{\circ}C$ and 1 to 1500bar. The equilibrium constants(K) for L$^{n-}$ = S$_2$O$_3^{2-}$, SCN$^-$, I$^-$ and NO$_2^-$ ions at 25$^{\circ}C$ and 1500bar were 3.0, 1.9, 0.6 and 0.5, respectively. The values of K decreased with increasing pressure and temperature. From the temperature effect on equlibrium constant, the thermodynamic parameters(${\Delta}G^{\circ}$, ${\Delta}H^{\circ}$, ${\Delta}S^{\circ}$) of reaction were evaluated and the reactions of [Cu(dl-trans-[14]-diene)]2+ ion with S$_2$O$_3^{2-}$, SCN$^-$ and I$^-$ except NO$_2^-$ ion were exothermic. The volume changes of reaction(${\Delta}$V) had positive values for all the used anions. The values of ${\Delta}$V in cm$^3$/mole for S$_2$O$_3^{2-}$ ion at 1,500, 1,000 and 1,500bar were 26, 22, 19 and 16, and those for S$_2$O$_3^{2-}$, SCN$^-$, I$^-$ and NO$_2^-$ ions at atmospheric pressure 26, 30, 64 and 45, respectively. Bonding character between Cu(Ⅱ)-complex ion and L$^{n-}$ was discussed by comparing both the equlibrium constants experimentally determined and those calculated according to Fuoss's ion-pair equation in case of S$_2$O$_3^{2-}$ ion.

• Journal of the Korean Mathematical Society
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• v.53 no.4
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• pp.929-967
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• 2016

Let p(t, x) be the fundamental solution to the problem $${\partial}^{\alpha}_tu=-(-{\Delta})^{\beta}u,\;{\alpha}{\in}(0,2),\;{\beta}{\in}(0,{\infty})$$. If ${\alpha},{\beta}{\in}(0,1)$, then the kernel p(t, x) becomes the transition density of a Levy process delayed by an inverse subordinator. In this paper we provide the asymptotic behaviors and sharp upper bounds of p(t, x) and its space and time fractional derivatives $$D^n_x(-{\Delta}_x)^{\gamma}D^{\sigma}_tI^{\delta}_tp(t,x),\;{\forall}n{\in}{\mathbb{Z}}_+,\;{\gamma}{\in}[0,{\beta}],\;{\sigma},{\delta}{\in}[0,{\infty})$$, where $D^n_x$ x is a partial derivative of order n with respect to x, $(-{\Delta}_x)^{\gamma}$ is a fractional Laplace operator and $D^{\sigma}_t$ and $I^{\delta}_t$ are Riemann-Liouville fractional derivative and integral respectively.

• Bulletin of the Korean Chemical Society
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• v.1 no.3
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• pp.109-112
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• 1980

Ultraviolet spectrophotometric investigations were carried out on monoalkylbenzene-iodine systems in carbon tetrachloride. The results reveal the formation of one-to-one molecular complexes. On the basis of the equilibrium constants for these complexes of representative monosubstituted benzenes, the following order of increasing stability is obtained: i-propyl- ${\Delta}$H, ${\Delta}$G and ${\Delta}$S for the interaction of a number of monoalkyl substituted benzenes with iodine have been determined. In general, it can be said that as ${\Delta}$H becomes increasingly negative, corresponding decreases in the ${\Delta}$G and the ${\Delta}$S values are observed, and these variations are linear. The thermodynamic constants become increasingly negative with increasing monoalkyl substitution of the aromatic donor nucleus. The complex bond is therefore weak, and its formation is accompanied by relatively small entropy changes. Thus, analysis of these findings is discussed.