• Proceedings of the KIEE Conference
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• 2001.11a
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• pp.78-80
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• 2001

DC accelerating aging characteristics of praseodymium-based ZnO varistors doped with $Dy_2O_3$ were investigated with sintering time. The varistor sintered for 1h exhibited the highest nonlinearity, with a nonlinear exponent of 66.61 and a leakage current of $1.16{\mu}A$, whereas they did not exhibit relatively high stability. The varistor sintered for 2h having nonlinear exponent of 54.81 and leakage current of $2.52{\mu}A$ showed very excellent stability, which the variation rates of varistor voltage, nonlinear exponent, and leakage current are -1.19%, -4.00%, and +75.79% for 2h, under DC accelerated aging stress, such as ($0.85\;V_{1mA}/115^{\circ}C$/24h)+($0.90\;V_{1mA}/120^{\circ}C$/24h)+($0.95\;V_{1mA}/125^{\circ}C$/24h)+($0.95\;V_{1mA}/150^{\circ}C$/24h).

• Proceedings of the KIEE Conference
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• 2000.07c
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• pp.1676-1678
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• 2000

The electrical characteristics of $Pre_{6}O_{11}$-based ZnO varistors doped with $Y_{2}O_3$ in the range 0.0-4.0 mol% sintered at 1350$^{\circ}C$ were investigated. The varistor without $Y_{2}O_3$ exhibited very low nonlinearity, which the nonlinear exponent is 4.54 and leakage current is 87.91${\mu}A$. However the varistors with $Y_{2}O_3$ exhibited in the range of 30.00-51.19 in the nonlinear exponent and 0.52-3.89${\mu}A$ in the leakage current. Especially, the varistor with $Y_{2}O_3$ of 0.5 mol% exhibited the nonlinear exponent of 51.19 and the leakage current of 1.32${\mu}A$.

• Bulletin of the Korean Mathematical Society
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• v.59 no.6
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• pp.1471-1493
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• 2022

The goal of this paper is to establish the boundedness of bilinear Calderón-Zygmund operator BT and its commutator [b₁, b₂, BT] which is generated by b₁, b₂ ∈ BMO(ℝⁿ) (or ${\dot{\Lambda}}_{\alpha}$(ℝⁿ)) and the BT on generalized variable exponent Morrey spaces 𝓛^p(·),𝜑(ℝⁿ). Under assumption that the functions 𝜑₁ and 𝜑₂ satisfy certain conditions, the authors proved that the BT is bounded from product of spaces 𝓛^{p₁(·),𝜑₁}(ℝⁿ)×𝓛^{p₂(·),𝜑₂}(ℝⁿ) into space 𝓛^p(·),𝜑(ℝⁿ). Furthermore, the boundedness of commutator [b₁, b₂, BT] on spaces L^p(·)(ℝⁿ) and on spaces 𝓛^p(·),𝜑(ℝⁿ) is also established.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.25 no.5
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• pp.985-991
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• 2015

The user's secret key can be retrieved by various side channel leakage informations occurred during the execution of cryptographic RSA exponentiation algorithm which is embedded on a security device. The collision-based power analysis attack known as a serious side channel threat can be accomplished by finding some collision pairs on a RSA power consumption trace. Recently, an RSA exponentiation algorithm was proposed as a countermeasure which is based on the window method adopted combination of message blinding and exponent splitting. In this paper, we show that this countermeasure provides approximately $2^{53}$ attack complexity, much lower than $2^{98}$ insisted in the original article, when the window size is two.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 2004.04b
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• pp.171-174
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• 2004

The surge characteristics of $Pr_6O_{11}$-based ZnO varistors consisting of $ZnO-Pr_6O_{11}-CoO-Cr_2O_3-Er_2O_3$ ceramics were investigated with sintering temperature in the range of $1335{\sim}1345^{\circ}C$. As the sintering temperature is raised, the average grain size was marked1y increased in the range of $9.67{\sim}14.07\;{\mu}m$ and the ceramic density was increased in the range of $5.46{\sim}5.59\;g/cm^3$. While, the nonlinear exponent was decreased in the range of 64.9~44.1 and the clamping voltage ratio was improved in the range of 1.99~2.08. The best varistor properties was obtained from the varistors sintered at $1335^{\circ}C$, exhibiting a maximum (64.9) in the nonlinear exponent and a minimum (1.99) in the clamping voltage ratio.

• Bulletin of the Korean Mathematical Society
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• v.29 no.2
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• pp.205-214
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• 1992

• Transactions of Materials Processing
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• v.3 no.2
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• pp.215-228
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• 1994

The purpose of this paper is to pursue a general method to determine both the flow stress of a material and the friction factor by ring compression test. The materials are assumed to obey the expanded n-power hardening rule including the strain-rate effect. Ring compression is simulated by the rigid-plastic finite element method to obtain the database used in determining the flow stress and friction factor. The Simulation is conducted for various strain hardening exponent, strain-rate sensitivity, friction factor, and compressing speed, as variables. It is assumed that the friction factor is constant during the compression process. To evaluate the compatibility of the database, experiments are carried out at room and evaluated temperature using specimens of aluminum 6061-T6 under dry and grease lubrication condition. It is shown that the proposed test method is useful and easy to use in determining the flow stress and the friction factor.

• Journal of applied mathematics & informatics
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• v.20 no.1_2
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• pp.445-454
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• 2006

We describe a solution to the Ornstein-Uhlenbeck equation $\frac{dI}{dt}-\frac{1}{\tau}$I(t)=cV(t) where V(t) is a constant multiple of a Gaussian white noise. Our solution is based on a discrete set of Gaussian white noise obtained by taking sample points from a sum of single frequency harmonics that have random amplitudes, random frequencies, and random phases. Hence, it is different from the solution by the standard random walk using random numbers generated by the Box-Mueller algorithm. We prove that the power of the signal has the additive property, from which we derive that the Lyapunov characteristic exponent for our solution is positive. This compares with the solution by other methods where the noise is kept to be in an error range so that its Lyapunov exponent is negative.

• Journal of the Korean Society for Precision Engineering
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• v.27 no.2
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• pp.123-129
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• 2010

The purpose of study is to investigate the correlation between the Lyapunov exponent (LE) and the displacement of the center of gravity (DCG) for clarifying walking stability on the treadmill. From fifteen young healthy subjects volunteered, lower extremity joint angles were recorded using a three-dimensional motion capture system with reflective markers. The anteroposterior DCG and the LE were calculated by a commercial software. A linear correlation between LE and DCG (p<0.05) showed that LEs compensated for walking distance on the treadmill walking. However, LEs were found to be independent of self-selected walking speeds by a negligible correlation between LE and the Froude number (p>0.05).

• Journal of the Korean Ceramic Society
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• v.42 no.7 s.278
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• pp.490-496
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• 2005

The electrical properties and stability of the varistors composed of ZnO-Pr$_{6}$O$_{11}$-CoO-Cr$_{2}$O$_{3}$-Dy$_{2}$O$_{3}$ system were investigated with sintering time in the range of 1$\~$3 h at 1350$^{\circ}C$ . As the sintering time was increased, the varistor voltage and leakage current increased, but the nonlinear exponent decreased. The varistors sintered for 1 h exhibited excellent nonlinearity, with a nonlinear exponent of 55.3 and a leakage current of 0.1 $\mu$A, whereas presented relatively low stability. The varistors sintered for 2 h exhibited not only high nonlinear exponent of 46.3, low leakage current of 0.3 $\mu$A, low dielectric dissipation factor of 0.0431, but also the highest stability, in which the variation rates of varistor voltage, nonlinear exponent, leakage current, dielectric constant, and dielectric dissipation factor were -3.0$\%$, -4.1$\%$, +3056.2$\%$, +5.1$\%$, and -12.5$\%$, respectively, after DC accelerated aging stress state of 0.95 V$_{1ma}$/150$^{\circ}C$/24 h. On the whole, the nonlinearity and stability of these varistors are greatly affected by the sintering time.