• Journal of the Chungcheong Mathematical Society
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• v.22 no.4
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• pp.789-797
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• 2009

Invertible transformations over n-bit words are essential ingredients in many cryptographic constructions. When n is large (e.g., n = 64) such invertible transformations are usually represented as a composition of simpler operations such as linear functions, S-P networks, Feistel structures and T-functions. Among them we will study T-functions which are probably invertible transformation and are very useful in stream ciphers. In this paper we will show that $f(x)=x+(g(x)^2{\vee}C)$ mod $2^n$ is a permutation with a single cycle of length $2^n$ if both the least significant bit and the third significant bit in the constant C are 1, where g(x) is a T-function.

• Journal of Korean Society for Quality Management
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• v.40 no.3
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• pp.337-346
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• 2012

Purpose: A Control chart is one of the important statistical process control tools that can improve processes by reducing variability and defects. Methods: In the present study, we propose the local $T^2$ multivariate control chart that can efficiently detect abnormal observations by considering the local pattern of the in-control observations. Results: A simulation study has been conducted to examine the property of the proposed control chart and compare it with existing multivariate control charts. Conclusion: The results demonstrate the usefulness and effectiveness of the proposed control chart.

• Journal of the Korean Mathematical Society
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• v.48 no.5
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• pp.913-926
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• 2011

The family of q-Laguerre polynomials $\{L_n^{(\alpha)}({\cdot};q)\}_{n=0}^{\infty}$ is usually defined for 0 < q < 1 and ${\alpha}$ > -1. We extend this family to a new one in which arbitrary complex values of the parameter ${\alpha}$ are allowed. These so-called generalized q-Laguerre polynomials fulfil the same three term recurrence relation as the original ones, but when the parameter ${\alpha}$ is a negative integer, no orthogonality property can be deduced from Favard's theorem. In this work we introduce non-standard inner products involving q-derivatives with respect to which the generalized q-Laguerre polynomials $\{L_n^{(-N)}({\cdot};q)\}_{n=0}^{\infty}$, for positive integers N, become orthogonal.

• Transactions on Electrical and Electronic Materials
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• v.17 no.4
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• pp.201-203
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• 2016

Transparent conductive multilayers have been fabricated using transparent amorphous Si doped indium oxide (ISO) semiconductors and metallic Ag of ISO/Ag/ISO. The resistivity of a multilayer is dependent on the middle layer thickness of silver. The thickness of the Ag layer is fixed at 11 nm and takes into account cost and optical transmittance. As-deposited ISO/Ag (11 nm)/ISO multilayer shows a measured resistivity of 7.585×10⁻⁵ Ω cm. After a post annealing treatment of 400℃, the resistivity is reduced to 4.332×10⁻⁵ Ω cm. The reduction of resistivity should be explained that the mobility of the multilayer increased due to the optimized crystalline, meanwhile, the Hall concentration of the multilayer showed an obscure change because the carriers mainly come from the insert of the Ag layer.

• Journal of the Korean Society for Heat Treatment
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• v.36 no.3
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• pp.115-120
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• 2023

ZnO/Cu/ZnO (ZCZ) thin film deposited on the glass substrate with DC and RF magnetron sputtering was rapid thermal annealed (RTA) and then effect of thermal temperature on the opto-electical and transparent heater properties of the films were considered. The visible transmittance and electrical resistivity are depends on the annealing temperature. The electrical resistivity decreased from 1.68 × 10^-3 Ωcm to 1.18 × 10^-3 Ωcm and the films annealed at 400℃ show a higher transmittance of 78.5%. In a heat radiation test, when a bias voltage of 20 V is applied to the ZCZ film annealed at 400℃, its steady state temperature is about 70.7℃. In a repetition test, the steady state temperature is reached within 15s for all of the bias voltages.

• Nonlinear Functional Analysis and Applications
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• v.29 no.2
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• pp.581-596
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• 2024

A new variety of non-self generalized proximal contraction, called Hardy-Rogers α⁺F-proximal contraction, is shown in this work. Also, with an example, we prove that such contractions satisfying some conditions must have a unique best proximity point. For some particular values of the constants, that we have used to generalize the proximal contraction, we conclude different α⁺F-proximal contraction results of the types Ćirić, Chatterjea, Reich, Kannan, and Banach with proof, that all such type of contractions must have unique best proximity point. We also apply our result to solve a functional equation.

• Kyungpook Mathematical Journal
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• v.64 no.2
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• pp.205-218
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• 2024

Let 𝒜 be a Banach algebra. An element a ∈ 𝒜 has generalized Drazin inverse if there exists b ∈ 𝒜 such that b = bab, ab = ba, a - a²b ∈ 𝒜^qnil. New additive results for the generalized Drazin inverse of an operator over a Banach space are presented. we extend the main results of a paper of Shakoor, Yang and Ali from 2013 and of Wang, Huang and Chen from 2017. Appling these results to 2×2 operator matrices we also generalize results of a paper of Deng, Cvetković-Ilić and Wei from 2010.

• Korean Journal of Crystallography
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• v.13 no.1
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• pp.25-30
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• 2002

The M/sub 1-x/Na/sub 2x/Al₂(BO₃)₂O (M = Ca and Sr) solid solution systems have been shown interstitial solid solutions and continuous substitutional solid solutions. The symmetry around the Eu site of yEu/sup 3+/ : M/sub 1-x/Na/sub 2x/Al/sub 2-y/Mg/sub /(BO₃)₂O (M = Ca and Sr) changes the intensities and the chromaticities of transitions. The Eu/sup 3+/ion can be very bright and efficient and have the desired emission wave-length depending on the site symmetry of the Eu/sup 3+/ion site. As the amount of Na in the Eu/sup 3+/ion doped Ca/sub 1-x/Na/sub 2x/Al₂(BO₃)₂O system increases, the Eu site symmetry is going to be a noncentrosymmetric site. With increasing x, the decreased intensity in the /sup 5/D/sub 0/→/sup 7/F₁(590 nm) transition relates to the low symmetry of the Eus/up 3+/-doped Ca/sub 1-x/Na/sub 2x/Al₂(BO₃)₂O system, because of the Ca-centered octahedron in the CaAl₂(BO₃)₂O compound. The SrAl₂(BO₃)₂O compound also provides an improved chromaticity due to the lower site symmetry of Eu/sup 3+/ion.

• Journal of Korean Elementary Science Education
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• v.23 no.1
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• pp.1-7
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• 2004

The purpose of this study is to analyze elementary school students' personality, scientific attitude and to find the correlation between elementary school students' personality and scientific attitude. To determine this, the distribution of sixth graders' personality and scientific attitude was examined and correlation between the lower categories of each one was analyzed. The test tools and the subject were decided through the two preliminary examination, personality test and scientific attitude test were investigated appling to a total of 354 sixth-grade students at eight elementary schools in this study. The test results were analyzed with averages, standard deviations, correlations, ANOVA using SPSS/PC/sup +/. The major results of analysis are as follows. First, the distribution of scientific attitude proved that the average of boys' curiosity was higher than that of girls' curiosity, but girls' average was higher than boys' average in criticalness property, cooperation property, preparation property, continuation property and patience property. The distribution of upper group and lower group in personality properties revealed that the ratio of upper group was higher than that of lower group in activity property, social property, but the ratio of lower group was higher than that of upper group in responsibility and reflective property. Second, the socio-populational variables affecting 6th graders' personality' and science attitude were a sex, a sibling order. The cognition variables affecting 6th graders' personality and science attitude were preference, extent of usability to practical life and interest of science. Third, analyzing the correlation between lower categories of personality and lower categories of science attitude revealed that activity property of personality rather highly correlated to willingness property, critical property at .399(p<.01), .351(p<.01) respectively. and that consideration property of personality highly correlated to curiosity, critical property at .451 (p<.01), .415(p<.01) respectively.

• Journal of Korean Society of Water and Wastewater
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• v.35 no.6
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• pp.533-544
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• 2021

Ion exchange (IX) performance on the exchanger bed is essentially evaluated for the generation of ultrapure water in electronics and chemical industries and for the corrosion control in nuclear power plants. The breakthrough characteristics of IX bed with multi-component were investigated with both cation- and mixed-IX beds of H- and ETAH-form for four kinds of cation exchange resins by using the combined solution of ethanolamine (ETA) and ammonia (NH₃) at trace NaCl. Unlike major components (ETAH⁺ and NH₄⁺ ), the phenomena of breakthrough and overshooting at bed outlet were not observed by Na⁺ over the test period (> 3 times theoretical exchange capacity of IX bed). The breakthrough from H-form resin bed was sequentially reached by ETAH⁺ and NH₄⁺, while the overshooting was observed for ETAH⁺ at the breakthrough of NH₄⁺. NH₄⁺ was 51.5% higher than ETAH⁺ in terms of the relative selectivity determined with the width of breakthrough zone. At the increased concentration of Na⁺ at bed inlet, the selectivity and the overshooting were decreased and increased, respectively. Na⁺ leakage was higher from ETAH-form resin bed and was not identical for four kinds of cation-exchange resins, which may be reduced by improving the intrinsic property of IX resin.