• 대한수학회지
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• 제35권3호
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• pp.559-574
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• 1998

Let the Gel'fand triple (E)$_{\beta}$/ ⊂ ( $L^2$) ⊂ (E)＊$_{\beta}$/ be the framework of white noise distribution theory constructed by Kon-dratiev and Streit. A new class of continuous multiplicative products on (E)$_{\beta}$/ is introduced and associated continuous derivations on (E)$_{\beta}$/ are discussed. Algebraic characterizations of first order differential operators on (E)$_{\beta}$/ are proved. Some applications are also discussed. $\beta$/ are proved. Some applications are also discussed.

• Journal of applied mathematics & informatics
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• 제3권2호
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• pp.279-290
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• 1996

In the present paper we study the Cauchy problem in a Banach space E for an abstract nonlinear differential equation of form $$\frac{d^2u}{dt^2}=-A{\frac{du}{dt}}+B(t)u+f(t, W)$$ where W=($A_1$(t)u, A_2(t)u)..., A_{\nu}(t)u), A_{i}(t),\;i=1,2,...{\nu}$,(B(t), t{\in}I$=[0, b]) are families of closed operators defined on dense sets in E into E, f is a given abstract nonlinear function on $I{\times}E^{\nu}$ into E and -A is a closed linar operator defined on dense set in e into E which generates a semi-group. Further the existence and uniqueness of the solution of the considered Cauchy problem is studied for a wide class of the families ($A_{i}$(t), i =1.2...${\nu}$), (B(t), $t{\in}I$) An application and some properties are also given for the theory of partial diferential equations.

• 대한수학회보
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• 제48권4호
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• pp.813-838
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• 2011

In this paper, we prove sufficient conditions for controllability of second order semi-linear neutral impulsive differential inclusions on unbounded domain with infinite delay in Banach spaces using the theory of strongly continuous Cosine families. We shall rely on a fixed point theorem due to Ma for multi-valued maps. The controllability results in infinite dimensional space has been proved without compactness on the family of Cosine operators.

• Structural Engineering and Mechanics
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• 제39권5호
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• pp.669-682
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• 2011

A Chebyshev spectral method (CSM) for the dynamic analysis of non-uniform Timoshenko beams under various boundary conditions and concentrated masses at their ends is proposed. The matrix-based Chebyshev spectral approach was used to construct the spectral differentiation matrix of the governing differential operator and its boundary conditions. A matrix condensation approach is crucially presented to impose boundary conditions involving the homogeneous Cauchy conditions and boundary conditions containing eigenvalues. By taking advantage of the standard powerful algorithms for solving matrix eigenvalue and generalized eigenvalue problems that are embodied in the MATLAB commands, chebfun and eigs, the modal parameters of non-uniform Timoshenko beams under various boundary conditions can be obtained from the eigensolutions of the corresponding linear differential operators. Some numerical examples are presented to compare the results herein with those obtained elsewhere, and to illustrate the accuracy and effectiveness of this method.

• Journal of Information Processing Systems
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• 제14권6호
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• pp.1331-1346
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• 2018

Aiming at the problem that the gradient-based edge detection operators are sensitive to the noise, causing the pseudo edges, a triqubit-state measurement-based edge detection algorithm is presented in this paper. Combing the image local and global structure information, the triqubit superposition states are used to represent the pixel features, so as to locate the image edge. Our algorithm consists of three steps. Firstly, the improved partial differential method is used to smooth the defect image. Secondly, the triqubit-state is characterized by three elements of the pixel saliency, edge statistical characteristics and gray scale contrast to achieve the defect image from the gray space to the quantum space mapping. Thirdly, the edge image is outputted according to the quantum measurement, local gradient maximization and neighborhood chain code searching. Compared with other methods, the simulation experiments indicate that our algorithm has less pseudo edges and higher edge detection accuracy.

• 한국진공학회지
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• 제21권2호
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• pp.69-77
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• 2012

전자기장을 포함한 대부분의 물리학적 시스템이 벡터 미분 연산자들로 기술되며 또한 벡터연산을 통하여 계산된다. 그러므로 이들 벡터장들이 유전 및 자성물질 시스템들과 상호작용할 때 물리적 체계를 기술하고 계산하려면 정확한 전자기 벡터장의 지식체계를 이해할 필요가 있다. 그런데 이들 대부분 추상적 개념들을 직관적으로 이해하기에는 쉽지 않기 때문에 이들 추상적 개념의 시각화 표현 작업은 오늘날 지식정보화 수행과정에서 매우 중요한 과제의 하나다. 우리는 전자기학 체계를 구성하는 가장 기본적인 벡터장: $\vec{E}=-\vec{\nabla}_{\varphi}$, $\vec{D}={\epsilon}\vec{E}$, $\vec{\nabla}{\times}\vec{A}$, $\vec{B}={\mu}\vec{H}$, $\vec{B}={\mu}_0(\vec{\nabla}_{\varphi}{^*}+\vec{M})$들의 가시화 시뮬레이션을 Mathematica 프로그램으로 작성하여 추상적인 전자기벡터장의 시각화 모델을 제시하였다. 이 시뮬레이션을 전자기 벡터장의 물리학적 지식체계를 탐구해 가는 기본 플랫폼으로 활용할 수 있다.

• 한국수산과학회지
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• 제37권4호
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• pp.330-336
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• 2004

To meet the increasing demand from various fishing fields for training of fishing equipment operators, a fishing winch simulator was designed to train maritime students in the correct and safe operation of hydraulic winches under various load conditions related to fishing operations. The aim of this study is to describe the basic dynamic characteristics of the newly developed hydraulic fishing winch simulator and particularly to analyze the mechanical responses produced on the winch operation controls. The winch simulator consists of two winch units, a computer control and data acquisition system, a control consol and other associated mechanisms. When one winch is in hauling mode, the other one will always be in loading mode. The revolution speed of the hauling winch was controlled by a proportional directional control valve, and the braking torque of the loading winch was controlled by a proportional pressure control valve. The simulation experiments indicated that the dynamic characteristics of the hauling winch followed the braking response characteristics of the loading winch. The tests also showed that the warp speed and tension linearly depend on the pressure differential across the motor of the loading winch controlled by operating the proportional pressure control valve during the hauling operation. The experience gained from various training courses showed that the fishing winch simulator was very realistic and it was valuable for training novice winch operators. The results of the winch simulation exercise were recorded and used to evaluate the training on the operation and handling of the winch system. From these test results, we concluded that the tension acting on the warp during hauling operations can successfully be simulated by controlling the pressure differential across the motor with step changes of the control input signal to the proportional pressure control valve of the loading winch.

• 에너지공학
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• 제26권3호
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• pp.90-96
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• 2017

지역난방 열수송관을 통해 중온수를 공급할 때 고압의 중온수로부터 열사용자 설비(지역난방 열교환기)를 보호하고 온도조절을 원활히 하고 유체의 원거리 공급을 위해 차압유량조절밸브를 통해 압력을 조절하거나 압력을 감소시키고 있다. 하지만, 고압 유체 사용에 따라 압력조절밸브에서 캐비테이션이 발생하여 잦은 고장 및 오작동을 유발하여 많은 문제가 발생하고 있으며, 사업자 및 사용자 모두에게 에너지 손실 및 민원 유발 등의 원인이 되고 있다. 이러한 문제를 해결하기 위해 연구 중인 1차측 차압유량조절밸브를 수력터빈으로 대체하여 차압에너지를 전기에너지로 변환하고, 전기를 2차측 펌프의 동력으로 활용하는 에너지 절감기술을 소개하고자 한다.

• Journal of Electrical Engineering and Technology
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• 제8권5호
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• pp.1012-1020
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• 2013

In this work, Self-adaptive Differential Evolutionary (SaDE) algorithm is proposed to solve Optimal Location and Size of Capacitor (OLSC) problem in radial distribution networks. To obtain the SaDE algorithm, two improvements have been applied on control parameters of mutation and crossover operators. To expand the study, three load conditions have been considered, i.e., constant, varying and effective loads. Objective function is introduced for the load conditions. The annual cost is fitness of problem, in addition to this cost, CPU time, voltage profile, active power loss and total installed capacitor banks and their related costs have been used for comparisons. To confirm the ability of each improvements of SaDE, the improvements are studied both in separate and simultaneous conditions. To verify the effectiveness of the proposed algorithm, it is tested on IEEE 10-bus and 34-bus radial distribution networks and compared with other approaches.

• 한국멀티미디어학회논문지
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• 제2권3호
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• pp.320-328
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• 1999

정칙화 반복복원 과정에 사용되는 정칙화 연산자는 Laplacian 연산자를 주로 사용하고 있으나, 일반적으로 미분 연산자를사용하게 되어있다. 본 논문에서는 정칙화 연산자로서의 일반적인 미분연산자틀과 본 연구실에서 사용 되어 온 I-H 연산자의 성능을 비교, 검토하여 분석하였다. 선형적인 움직임에 의한 훼손된 영상에서는, 평면부분은 I-H 연산자가 Laplacian 연산자보다 복원효과와 MSE의 수렴성이 안정된 것을 알 수 있었으며 윤곽부분은 Laplacian 연산자가 I-H 연산자보다 MSE의 수렴성 및 복원효과가 뛰어남을 알 수 있었다. 가우시안에 의해 훼손된 영상에서는, 융곽부분은 I-H 연산자가 Laplacian 연산자보다 MSE의 수렴성 및 복원효과가뛰어나며 평변부분에서는Laplacian 연산자가 I-H 연산자보다 MSE 변에서 안정적으로 F수렴함을 알 수 있었다. 정칙화 이론은 잡음의 평활화와 윤곽의 복원을 동시에 고려하여 처리하기 때문에 영역을 평면부분과 중간 부분 그리고 윤곽부분으로 나누어서 처리결과에 대한 MSE를 비교하였다. Laplacian 연산자와 I-H 연산자는 정칙화 연산자로 사용하기에 적합하였고 다른 미분 연산자들은 반복횟수에 따라 발산하는 것으로 나타났다.