• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제7권1호
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• pp.25-31
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• 2003

The concepts of stability of algorithms for solving the symmetric and generalized symmetric-definite eigenproblems are discussed. An algorithm for solving the symmetric eigenproblem $Ax={\lambda}x$ is stable if the computed solution z is the exact solution of some slightly perturbed system $(A+E)z={\lambda}z$. We use both normwise approach and componentwise way of measuring the size of the perturbations in data. If E preserves symmetry we say that an algorithm is strongly stable (in a normwise or componentwise sense, respectively). The relations between the stability and strong stability are investigated for some classes of matrices.

• 충청수학회지
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• 제19권2호
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• pp.141-151
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• 2006

We investigate the multiplicity of $2{\pi}$-periodic solutions of the nonlinear Hamiltonian system with almost polynomial and exponential potentials, $\dot{z}=J(G^{\prime}(z)+h(t))$, where $z:R{\rightarrow}R^{2n}$, $\dot{z}=\frac{dz}{dt}$, $J=\(\array{0&-I\\I&o}\)$, I is the identity matrix on $R^n$, $H:R^{2n}{\rightarrow}R$, and $H_z$ is the gradient of H. We look for the weak solutions $z=(p,q){\in}E$ of the nonlinear Hamiltonian system.

• 세라미스트
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• 제21권3호
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• pp.249-269
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• 2018

In conventional MALDI-TOF mass spectrometry, analyte molecules are known to be ionized by mixing with organic matrix molecules. As the organic matrix molecules are made into small fragments, they generate unreproducible mass peaks such that MALDI-TOF mass spectrometry is nearly impossible in the low mass-to-charge (m/z) range (< 1000). Additionally, the dried sample mixed with matrix were made as inhomogeneous crystal on metal plate. When the laser radiation was made on the sample crystal, the amount of generated sample ion was observed to be quite different according to the radiation point. Therefore, the quantitative analysis was very difficult even for the sample spots at the same concentration for the conventional MALDI-TOF mass spectrometry. In this work, we present laser desorption/ionization (LDI) mass spectrometry based on solid-matrices for the quantitative analysis of small molecules in the low m/z range by using MALDI-TOF mass spectrometry: (1) Carbon based nanostructures; (2) Semiconductor based nanomaterials; (3) Metal based nanostructures.

• Korean Journal of Mathematics
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• 제15권2호
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• pp.195-206
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• 2007

We investigate the multiplicity of $2{\pi}$-periodic solutions of the nonlinear Hamiltonian system with perturbed polynomial and exponential potentials, $\dot{z}= JG^{\prime}(z)$, where $z:R{\rightarrow}R^{2n}$, $\dot{z}={\frac{dz}{dt}}$, $J=\(\array{0&-I\\I&0}\)$, I is the identity matrix on $R^n,G:R^{2n}{\rightarrow}R$, G(0, 0) = 0 and $G^{\prime}$ is the gradient of G. We look for the weak solutions $z=(p,q){\in}E$ of the nonlinear Hamiltonian system.

• Smart Structures and Systems
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• 제21권4호
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• pp.469-477
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• 2018

This paper presents a numerical solution for the thick cylinders made of functionally graded materials (FGMs) with a constant Poisson's ratio and an arbitrary Young's modulus. We define two fundamental solutions which are derived from an ordinary differential equation under two particular initial boundary conditions. In addition, for the single layer case, we can define the transfer matrix N. The matrix gives a relation between the values of stress and displacement at the interior and exterior points. By using the assumed boundary condition and the transfer matrix, we can obtain the final solution. The transfer matrix method also provides an effective way for the solution of multiply layered cylinder. Finally, a lot of numerical examples are present.

• 전력전자학회:학술대회논문집
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• 전력전자학회 2008년도 하계학술대회 논문집
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• pp.234-237
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• 2008

This paper deals with a new single-phase Z-source matrix converter (SZMC) topology. Unlike other conventional configurations, the proposed SZMC is not only a step-up frequency converter but also a step-down frequency converter and a voltage boost capability. Thus, the proposed SZMC is also called a frequency step-up/down and voltage step-up converter. A safe-commutation strategy is used in SZMC as free-wheeling operation to eliminate voltage spikes on switches. The operating principles and experimental results of the proposed SZMC are presented.

• 한국세라믹학회지
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• 제34권4호
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• pp.436-442
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• 1997

The bimodal distribution of CuCl nano-crystals precipitated in alumino-borosilicate glass matrix (30SiO2-45B2O3-7.5Al2O3-7.5Na2O-7.5CaO-2.5GeO2(mole %)) was investigated by TEM and the temperature dependent optical spectroscopy. Two types of CuCl particles with different size were observed by TEM and it was confirmed by the splitting of Z3 absorption peak at low temperature and the occurrence of deflection point in the optical spectra with temperature.

• 한국전자파학회:학술대회논문집
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• 한국전자파학회 2003년도 종합학술발표회 논문집 Vol.13 No.1
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• pp.79-83
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• 2003

Multi-port($2{\times}2$port, 1port) rectangular waveguide discontinuity problem has been analyzed by use of $TE^x_{mn}$ (mono)mode matching method. Matrix size can be reduced significantly in comparison with $TE_{mn}&TM_{mn}$(full-wave)mode matching method. the present results is compared with those by CST MicroWave Studio to validate the presint method.

• 한국광학회지
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• 제15권2호
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• pp.142-148
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• 2004

z-축 방향으로 진행하는 Ti:LiNbO$_3$ 광도파로와 전기광학효과를 이용하여 설계된 집적광학형 편광조절기를 검토하였다. 소자는 λ/4 - λ/2 - λ/4 wave-plates들로 구성되었으며, Jones matrix에 근거하여 유도된 전달 메트릭스와 Poincare 구 좌표계를 이용하여 소자의 동작원리를 체계적으로 분석하였다. 편광제어에 필요한 전압들을 전산모사 하였으며, 이로부터 본 연구에서 제안된 편광조절기는 어떠한 입력 편광 상태로부터 특정한 출력 편광 상태로 변화시킬 수 있음을 확인하였다.

• Bulletin of the Korean Chemical Society
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• 제35권5호
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• pp.1409-1412
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• 2014

Sex hormones are important metabolites in vertebrates' development and reproduction. For rapid screening sex hormones, matrix-assisted laser desorption/ionization (MALDI) mass spectrometry (MS) is one of the promising analytical platforms, but MALDI MS faces many challenges in detecting steroids such as low ionization efficiency and matrix background interference. One potential strategy to overcome matrix interference in the low m/z region is using a cyclodextrin (CD)-supported matrix for steroid analysis since CD-supported matrixes are known to effectively suppress matrix-related ion signals. In this study, we aimed to find the optimal CD-supported matrix for the analysis of the nonderivatized sex steroids. Our results showed that the ${\alpha}CD$-supported 2,5-dihydroxybenzoic acid (DHB) matrix efficiently ionized all three major classes of sex hormones, estrogens, androgens, and progestagens, with low or no matrix background and also with high sensitivity. In addition, the ${\alpha}CD$-supported DHB matrix mainly generated molecular ions or protonated ions of sex hormones, and this enabled us to obtain information-rich tandem mass spectra which potentially lead to unambiguous identification of steroid species from complex metabolite mixtures.