• 호남수학학술지
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• 제32권1호
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• pp.141-155
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• 2010

In this paper we prove that with some hypothesis the set of k-isomorphism classes of simple closed k-surfaces in ${\mathbf{Z}}^3$ forms a commutative monoid with an operation derived from a digital connected sum, k ${\in}$ {18,26}. Besides, with some hypothesis the set of k-homotopy equivalence classes of closed k-surfaces in ${\mathbf{Z}}^3$ is also proved to be a commutative monoid with the above operation, k ${\in}$ {18,26}.

• 대한수학회지
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• 제49권4호
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• pp.733-743
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• 2012

For the "Hopf bundle" $S^1{\rightarrow}S^{2n,1}{\rightarrow}\mathbb{C}H^n$, horizontal lifts of simple closed curves are studied. Let ${\gamma}$ be a piecewise smooth, simple closed curve on a complete totally geodesic surface $S$ in the base space. Then the holonomy displacement along ${\gamma}$ is given by $$V({\gamma})=e^{{\lambda}A({\gamma})i}$$ where $A({\gamma})$ is the area of the region on the surface $S$ surrounded by ${\gamma}$; ${\lambda}=1/2$ or 0 depending on whether $S$ is a complex submanifold or not. We also carry out a similar investigation for the complex Heisenberg group $\mathbb{R}{\rightarrow}\mathcal{H}^{2n+1}{\rightarrow}\mathbb{C}^n$.

• 대한전자공학회논문지SD
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• 제44권7호통권361호
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• pp.16-23
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• 2007

본 논문에서는 완전 공핍된 SOI형 대칭 이중게이트 MOSFET의 문턱 전압에 대한 간단한 해석적 모델을 제시하고자 실리콘 몸체 내의 전위 분포를 근사적으로 채널에 수직한 방향의 좌표에 대해 4차 다항식으로 가정하였다. 이로써 2차원 포아송 방정식을 풀어 표면 전위의 표현식을 도출하고, 이 결과로부터 드레인 전압 변화에 의한 문턱 전압의 roll-off를 비교적 정확하게 기술할 수 있는 문턱 전압의 표현식을 closed-form의 간단한 표현식으로 도출하였다. 도출된 표현식으로 모의 실험을 수행한 결과 $0.01\;[{\mu}m]$의 실리콘 채널 길이 범위까지 채널 길이에 지수적으로 감소하는 것을 보이는 비교적 정확한 결과를 얻을 수 있음을 확인하였다.

• Journal of Power Electronics
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• 제17권2호
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• pp.442-452
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• 2017

This paper deals with the input-output modeling of a vector controlled PMSM drive system and design of a simple multiple model adaptive control (MMAC) scheme with desired transient responses. We present a discrete-time modeling technique using closed-loop identification that can experimentally identify the equivalent models in the d-q coordinates. A bank of linear models for the equivalent plant of the current loop is first obtained by identifying them at several operating points of the current to account for nonlinearity. Based on these models, we suggest a simple q-axis MMAC combined with a fixed d-axis controller. After the current controller is designed, another equivalent model including the current controller in the speed control loop shall be similarly obtained, and then a fixed speed controller is synthesized. The proposed approach is demonstrated by experiments. The experimental set up consists of a surface mounted PMSM (5 KW, 220V, 8 poles) equipped with a flywheel load of 220kg and a digital controller using DSP (TMS320F28335).

• International Journal of CAD/CAM
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• 제6권1호
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• pp.157-166
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• 2006

In order to model blending surfaces with curvature continuity, in this paper we apply sixth order partial differential equations (PDEs), which are solved with a composite power series based method. The proposed composite power series based approach meets boundary conditions exactly, minimises the errors of the PDEs, and creates almost as accurate blending surfaces as those from the closed form solution that is the most accurate but achievable only for some simple blending problems. Since only a few unknown constants are involved, the proposed method is comparable with the closed form solution in terms of computational efficiency. Moreover, it can be used to construct 3- or 4-sided patches through the satisfaction of continuities along all edges of the patches. Therefore, the developed method is simpler and more efficient than numerical methods, more powerful than the analytical methods, and can be implemented into an effective tool for the generation and manipulation of complex free-form surfaces.

• 대한기관식도과학회지
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• 제16권2호
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• pp.131-137
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• 2010

Background: Montgomery T-tube is widely used to maintain airway in many cases. Market-available tubes are not always fit to the trachea of each patient and need some modification such as trimming. Complications do happen in prolonged use like tracheostomy tubes. To overcome above limitations, we designed custom-made T-tube using CT data with the aid of 3D reconstruction software. Material and Method: Boundaries were extracted from neck CT data of normal person and processed by surface rendering methods. Real laryngotracheal model and tracheal inner surface-mimicking tube model were made with plaster and rubber. The main tube was designed by accumulation of circles or simple closed curves made from boundaries. Stomal tube was made by accumulation of squares due to limitation of software. Measurement data of tracheal lumen were used to custom-made T-tubes. Tracheal lumen residing portion (vertical limb) was made like circular cylinder or simple closed curved cylinder. Stomal portion (horizontal limb) was designed like square cylinder. Results: Custom made T-tube with cylindric vertical limb and horizontal limb of square cylinder was designed. Conclusion: CT data was helpful in making custom made T-tube with 3D reconstruction technique. If suitable materials are available, commercial T-tube can be printed out from 3D printers.

• 호남수학학술지
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• 제29권1호
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• pp.101-118
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• 2007

The notions of digital k-homotopy equivalence and digital ($k_0,k_1$)-homotopy equivalence were developed in [13, 16]. By the use of the digital k-homotopy equivalence, we can investigate digital k-homotopy equivalent properties of Cartesian products constructed by the minimal simple closed 4- and 8-curves in $\mathbf{Z}^2$.

• 대한전자공학회논문지SD
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• 제48권10호
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• pp.54-61
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• 2011

본 논문에서는 intrinsic-body cylindrical/surrounding gate SOI MOSFET의 I-V 특성 도출을 위한 간단한 해석적 모델을 제시하였다. Intrinsic 실리콘 채널 영역에서의 Poisson 방정식과 gate oxide 내에서의 Laplace 방정식을 해석적으로 풀어 소스와 드레인 양단 끝에서의 표면 전위 분포를 bisection method를 이용하여 구하였다. 구해진 표면 전위를 바탕으로 closed-form의 I-V 특성 식을 도출하였다. 도출된 I-V 특성 표현 식을 모의 실험한 결과, 소자의 parameter와 가해진 bias 전압에 대한 비교적 정확한 의존성을 확인할 수 있었다.

• Archives of Plastic Surgery
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• 제36권6호
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• pp.811-813
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• 2009

Purpose: Congenital cleft earlobe is relatively rare malformation and defective type congenital cleft earlobes are reconstructed with mainly local flap methods rather than primary closure or z - plasty. Various methods are introduced but many of these remain visible scars or require complex operative techniques. We designed a new and simple method of reconstruction for defective type cleft earlobe. Methods: On the posterior surface of the auricle and mastoid area, S - shaped line was drawn continuously. One arc is for turnover hinge flap to make the anterolateral surface of the earlobe, and the other is for transposition flap to reconstruct the posterolateral surface. The donor site of the transposition flap was closed primarily. Results: Four patients were operated by S - shaped flap design method. They were all female and two were right side and others were left. We obtained aesthetically satisfactory postoperative results with inconspicuous scars at the posterior side of the auricle. In one case, minor revision was performed because of insufficient blood supply of the hinge flap. Conclusion: We can reconstruct defective type cleft earlobe with new, simple S - shaped design for hinge flap and transposition flap.

• 전기전자학회논문지
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• 제18권2호
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• pp.206-213
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• 2014

In this note, a new robust nonlinear output feedback variable structure controller is first systematically and generally designed for the output control of more affine uncertain nonlinear systems with mismatched uncertainties and matched disturbance. A transformed integral output feedback sliding surface with a most simple form is applied in order to remove the reaching phase problems. The closed loop exponential stability and the existence condition of the sliding mode on the integral output feedback sliding surface is investigated with a corresponding output feedback control input in Theorem 1. For practical application the continuous implementation of the control input is made by the modified saturation function. The effectiveness of the proposed controller is verified through a design example and simulation study.