• 대한화학회지
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• 제21권5호
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• pp.362-371
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• 1977

이 論文에서는 NMR 吸收線과 FID 曲線의 모양을 硏究함에 있어서의 projection operation의 應用法을 探索하였다. 이 projection operator法은 NMR 吸收線과 FID 函數를 硏究하는데에 基礎가 되는 한 벌의 hierarchy equation들을 誘導하는데에 便利한 手段이 됨을 밝혔다. 逐次近似法이나 적당한 decoupling 近似를 쓰면 이들 方程式은 NMR 吸收線이나 FID 函數를 理論的으로 計算하는데에 좋은 出發點이 될 수 있을 것이다. NMR 吸收線에 對한 간단한 linear response theory의 考察과 吸收線과 FID 函數間의 關係도 記述하였다.

• Journal of applied mathematics & informatics
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• 제33권3_4호
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• pp.401-415
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• 2015

In this paper, we propose a modified proximal point algorithm which consists of a resolvent operator technique step followed by a generalized projection onto a moving half-space for approximating a solution of a variational inclusion involving a maximal monotone mapping and a monotone, bounded and continuous operator in Banach spaces. The weak convergence of the iterative sequence generated by the algorithm is also proved.

• Journal of Magnetics
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• 제16권2호
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• pp.108-113
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• 2011

The electron spin resonance lineshape (ESRLS) function for the electron spin resonance linewidth (ESRLW) of $Cr^{3+}$ (S = 3/2) in ferroelectric lithium niobate single crystals doped with 0.05 wt% of Cr, is obtained by using the projection operator technique (POT), developed by Argyres and Sigel. The ESRLS function is calculated to be axially symmetric about the c - axis and analyzed by using the spin Hamiltonian $H_{SP}={\mu}_B(B{\cdot}{^\leftrightarrow_{g}}{\cdot}S)+S{\cdot}{^\leftrightarrow_{D}}{\cdot}S$ with the parameters g = 1.972 and D = $0.395\;cm^{-1}$. In the ca plane, the linewidths show a strong angular dependence, whereas in the ab plane, they are independent of the angle. This result implies that the resonance center has an axial symmetry along the c - axis. Further, from the temperature dependence of the linewidths that is shown, it can be seen that the linewidths increase as the temperature increases, at a frequency of v = 9.27GHz. This result implies that the scattering effect increases with increasing temperature. Thus, the POT is considered to be more convenient to explain the scattering mechanism as in the case of other optical resonant systems.

• 한국자기공명학회논문지
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• 제19권1호
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• pp.11-17
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• 2015

The Kubo formalism and utilizing the projection operator technique (POT) introduced by Kawabata, the electron spin resonance (ESR) line-shape formula for carbon nanotubes through the hyperfine interaction introduced earlier in terms of POT. We can see that the line-width decreases exponentially as the temperature increases. The spin relaxation time show gradual decrease as magnetic field becomes larger. The analysis reveals the peculiarities in spin relaxation inherent to one dimensional system at low temperature and weak magnetic fields. Thus, the present technique is considered to be more convenient to explain the carbon nanotubes as in the case of other optical transitions.

• Nuclear Engineering and Technology
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• 제50권5호
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• pp.698-708
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• 2018

This article introduces a methodology of designing a wavelet operator suitable for multiscale modeling. The operator matrix transforms states of a multivariable system onto projection space. In addition, it imposes a specific structure on the system matrix in a multiscale environment. To be specific, the article deals with a diagonalizing transform that is useful for decoupled control of a system. It establishes that there exists a definite relationship between the model in the measurement space and that in the projection space. Methodology for deriving the multirate perfect reconstruction filter bank, associated with the wavelet operator, is presented. The efficacy of the proposed technique is demonstrated by modeling the point kinetics nuclear reactor. The outcome of the multiscale modeling approach is compared with that in the single-scale approach to bring out the advantage of the proposed method.

• 한국자기공명학회논문지
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• 제16권1호
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• pp.11-21
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• 2012

The line-width of carbon nanotubes (CNTs) was studied as a function of the temperature at a frequency of 9.49 GHz in the presence of external electromagnetic radiation. The relative frequency dependence of the absorption power is obtained with the projection operator technique (POT) proposed by Kawabata. The line-width increased as the temperature increased in the high-temperature region (T>200 K). The scattering is little affected in the low-temperature region (T<200 K) because there is no correlation between the resonance field and the Fermi-Dirac distribution function. Thus, the present technique is considered to be more convenient to explain the resonant system as in the case of other optical transition problems.

• Journal of Magnetics
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• 제17권1호
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• pp.13-18
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• 2012

Starting with Kubo's formula and using the projection operator technique introduced by Kawabata, EPR lineprofile function for a $Mn^{2+}$-doped wurtzite structure GaN semiconductor was derived as a function of temperature at a frequency of 9.49 GHz (X-band) in the presence of external electromagnetic field. The line-width is barely affected in the low-temperature region because there is no correlation between the resonance fields and the distribution function. At higher temperature the line-width increases with increasing temperature due to the interaction of electrons with acoustic phonons. Thus, the present technique is considered to be more convenient to explain the resonant system as in the case of other optical transition systems.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제8권1호
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• pp.55-66
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• 2004

First the notion of the A-monotonicity is applied to the approximation - solvability of a class of nonlinear variational inclusion problems, and then the convergence analysis is given based on a projection-like method. Results generalize nonlinear variational inclusions involving H-monotone mappings in the Hilbert space setting.

• 한국컴퓨터정보학회논문지
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• 제12권6호
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• pp.261-268
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• 2007

본 논문에서는 문자가 가지고 있는 특성을 이용하여 에지 투영을 기반으로 자동차 번호판 영역을 추출하는 기법을 제안하였다. 차량의 번호판 영역을 추출하기 위하여, 바탕과 문자부분의 명암비가 매우 크다는 점을 이용한다. 또한, 에지영상을 바탕으로 투영기법을 적용하여 문자 영역을 추출한다. 특히, 새로운 번호판 규격은 가로방향으로 많은 수의 숫자를 가지기 때문에 가로 방향으로 투영된 데이터는 일정한 폭의 누적 값을 가지며, 이러한 점을 이용하여 번호판 영역을 추출한다. 또한 세로방향의 경우 형태 정합에 의해 번호판을 추출하는 방법을 제안한다. 제안된 기법은 특히, 새로운 번호판 규격에 더욱 효과적이다. 본 알고리즘에 대한 모의실험 결과에서, 여러 가지 번호판에 대해 90% 성공률을 나타냄을 보여준다.

• East Asian mathematical journal
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• 제28권5호
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• pp.561-567
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• 2012

The approximate solvability of a generalized system for relaxed cocoercive extended general variational inequalities is studied by using the project operator technique. The results presented in this paper are more general and include many previously known results as special cases.