• 대한수학회보
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• 제28권2호
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• pp.163-174
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• 1991

This is a continuation of the author's previous work [17]. In this paper, we consider mainly variational inequalities for single-valued functions. We first obtain a generalization of the variational type inequality of Juberg and Karamardian [10] and apply it to obtain strengthened versions of the Hartman-Stampacchia inequality and the Brouwer fixed point theorem. Next, we obtain fairly general versions of Browder's variational inequality [5] and its subsequent generalizations due to Brezis et al [4], Takahashk [23], Shih and Tan [19], Simons [20], and others. Finally, in this paper, we obtain a variational inequality for non-real locally convex t.v.s. which generalizes a result of Shih and Tan [19].

• 대한수학회논문집
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• 제27권2호
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• pp.347-356
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• 2012

In this paper, we present a common fixed point theorem for multivalued maps on $M$-complete fuzzy metric spaces. Also, the single valued case and an illustrative example are given.

• Kyungpook Mathematical Journal
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• 제59권1호
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• pp.101-123
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• 2019

In this paper, we consider a system of nonlinear variational type inclusions involving ($H,{\varphi},{\eta}$)-monotone operators in real Banach spaces. Further, we define a proximal operator associated with an ($H,{\varphi},{\eta}$)-monotone operator and show that it is single valued and Lipschitz continuous. Using proximal point operator techniques, we prove the existence and uniqueness of a solution and suggest an iterative algorithm for the system of nonlinear variational type inclusions. Furthermore, we discuss the convergence of the iterative sequences generated by the algorithms.

• Nonlinear Functional Analysis and Applications
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• 제26권1호
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• pp.165-175
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• 2021

In this article we derive some best approximation theorems for multimaps in abstract convex metric spaces. We are based on generalized KKM maps due to Kassay-Kolumbán, Chang-Zhang, and studied by Park, Kim-Park, Park-Lee, and Lee. Our main results are extensions of a recent work of Mitrović-Hussain-Sen-Radenović on G-convex metric spaces to partial KKM metric spaces. We also recall known works related to single-valued maps, and introduce new partial KKM metric spaces which can be applied our new results.

• 대한수학회지
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• 제59권6호
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• pp.1171-1184
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• 2022

We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equations of first order for a scalar function. By making use of the first integrals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable.

• 전기전자학회논문지
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• 제8권2호
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• pp.172-180
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• 2004

본 논문에서는 다치 논리회로를 구현하는 방식 중 전압 모드 방식에서 $neuron(\nu)MOS$ Down-literal circuit(DLC)의 다중 문턱전압 성질을 이용하여 유한체 $GF(3^m)$상에서 모든 항의 계수가 존재하는 기약 다항식에 대한 승산 알고리즘(AOTP)을 적용한 병렬 입-출력 모듈 구조의 승산기의 회로를 제안하였다. 3치 입력 신호가 인가되는 승산기는 뉴런모스 DLC를 이용하여 모듈화되고, 모듈에서 변환된 3치 입력 신호를 Pass 게이트를 통해서 선택하는 방식으로 승산 및 가산 게이트를 구현하였다. 설계된 승산기의 회로들은 +3V의 단일 공급 전원에서 $0.35{\mu}m$ N-well double-poly four-metal CMOS 공정의 모델 파라미터를 사용하여 모의실험이 수행되었다. 모의실험 결과를 통하여 승산기는 샘플링 레이트가 3MHz, 소비전력은 $4{\mu}W$, 출력은 ${\pm}0.1V$이내의 전압레벨을 유지하는 것을 알 수 있다.

• 한국정보처리학회논문지
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• 제6권6호
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• pp.1447-1457
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• 1999

최근 제안된 시각 객체 질의어(VOQL)는 시각 질의어로 스키마 정보가 시각적으로 질의 표현에 포함되므로 복잡한 구조의 데이터에 대한 질의를 효과적으로 표현할 수 있는 객체 지향 데이터베이스 질의어이다. VOQL은 귀납적으로 정의된 시맨턱을 갖는 그래프 기반 언어로 다양한 텍스트 경로식들을 그래프로 간결하게 표현 할 뿐 아니라 복잡한 경로식의 시맨틱을 명확하게 전달한다. 그러나 기존의 VOQL은 모든 속성을 다중 값으로 가정하고 있고, 객체변수의 바인딩 개념을 시각화하고 있지 못하고 있다. 이로 인해 VOQL 질의문의 표현이 직관적이지 못할 뿐 아니라 이론적 확장이 쉽지 않다. 본 논문에서는 이러한 문제를 해결하도록 VOQL을 개선하고 한다. 단일 값과 다중 값을 갖는 속성의 결과를 각각 시각 요소와 서브 블랍을 통해 시각화하고, 시각변수를 도입하여 객체 변수의 바인딩을 명시화하여 질의문의 시맨틱을 직관적이고, 명확하게 하고 있다.

• Structural Engineering and Mechanics
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• 제28권1호
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• pp.89-105
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• 2008

The paper presents a study on the effects of soil-structure-interaction (SSI) on the performance of the compliant liquid column damper (CLCD) for the seismic vibration control of short period structures. The frequency-domain formulation for the input-output relation of a flexible-base structure with CLCD has been derived. The superstructure has been modeled as a linear, single degreeof-freedom (SDOF) system. The foundation has been considered to be attached to the underlying soil medium through linear springs and viscous dashpots, the properties of which have been represented by complex valued impedance functions. By using a standard equivalent linearization technique, the nonlinear orifice damping of the CLCD has been replaced by equivalent linear viscous damping. A numerical stochastic study has been carried out to study the functioning of the CLCD for varying degrees of SSI. Comparison of the damper performance when it is tuned to the fixed-base structural frequency and when tuned to the flexible-base structural frequency has been made. The effects of SSI on the optimal value of the orifice damping coefficient of the damper has also been studied. A more convenient approach for designing the damper while considering SSI, by using an established model of a replacement oscillator for the structure-soil system has also been presented. Finally, a simulation study, using a recorded accelerogram, has been carried out on the CLCD performance for the flexible-base structure.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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• pp.599-602
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• 2003

A new technique is presented to construct predictive models of plasma etch processes. This was accomplished by combining a backpropagation neural network (BPNN) and a random generator (RC). The RG played a critical role to control neuron gradients in the hidden layer, The predictive model constructed in this way is referred to as a randomized BPNN (RG-BPNN). The proposed scheme was evaluated with a set of experimental plasma etch process data. The etch process was characterized by a 2$^3$ full factorial experiment. The etch responses modeled are 4, including aluminum (Al) etch rate, profile angle, Al selectivity, and do bias. Additional test data were prepared to evaluate model appropriateness. The performance of RC-BPNN was evaluated as a function of the number of hidden neurons and the range of gradient. for given range and hidden neurons, 100 sets of random neuron gradients were generated and among them one best set was selected for evaluation. Compared to the conventional BPNN, the proposed RC-BPNN demonstrated about 50％ improvements in all comparisons. This illustrates that the RG-BPNN of multi-valued gradients is an effective way to considerably improve the predictive ability of current BPNN of single-valued gradient.

• 대한전자공학회논문지
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• 제17권2호
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• pp.29-36
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• 1980

논문에서는 Calofs체를 이용한 다치론이함수의 구성방법을 제시하였다. 먼저 단일변수다치논리함수의 구성총론을 전개하고 그 결과를 다변수다치논리함수구성에 확장하였다. 본 논문을 전개하는데 있어서 가장 근원이 되는 수학적 근거는 (1) GF(N)의 모든 원소의 합은 영이다. (2) GF(N)의 e0을 제외한 모든 원소의 적은 N이 만수일때는 e1이고, N이 기수일 때는 et( )이다. 라는 두 성질이다. 이 성질을 바탕으로 하여 비교적 간단하고 새로운 구성이론을 유도하고, 또 전개시의 각 계수를 함수적인 승법을 거치지 않고 직접 결정하는 과정을 제시하였다. 또 예제를 들어 구성이론을 뒷받침하였다.