• 한국수학교육학회지시리즈E:수학교육논문집
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• 제36권1호
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• pp.39-57
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• 2022

본 연구는 맥락에서 출발하여 추상화로 나아가는 방식으로 수학 학습을 설명하는 AiC(Abstraction in Context) 이론에 따른 수업이 부정적분과 정적분의 관계에 대한 이해를 촉진하는 지를 파악하는 데 목표를 둔다. 이를 위해 과학고등학교 2학년 학생 8명을 대상으로 설계한 적분 지도 방안에 따라 수업을 실시했으며, 전 수업 과정을 녹화, 녹음한 자료와 활동지 등의 자료를 수집하고 분석하였다. 분석 결과, 연구에 참여한 학생들은 누적 개념이 내재된 맥락에서 출발하여 동료 학생들과 상호 소통하면서 부정적분과 정적분의 관계에 연결되는 세 가지 지식 요소인 '누적함수의 순간 변화율', '부정적분을 이용한 정적분의 계산', '누적함수를 이용한 부정적분의 결정'을 구성하였다. 연구결과를 바탕으로, AiC 관점은 부정적분과 정적분 관계의 학습을 지원하는 잠재력을 가지고 있으며, 이를 다른 학습영역으로 확장하여 고등학교 수학수업을 개선하는 데에도 활용할 수 있음을 논의하였다.

• 대한전기학회논문지:전력기술부문A
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• 제49권7호
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• pp.345-349
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• 2000

This paper presents an extended integral control with the PI controller by introducing the delay and decaying factors. The extended integral control scheme is developed by substituting the proportional convolution integral control for the PI(Proportional Integral) control. So far, the integral part of PI controller produces a signal that is proportional to the time integral of the input signal to the controller. The steady-state operation points are affected forever by errors in the past due to the input signal containing the information of the error in the past. These phenomena may cause some disturbances for other control purposes related to the given PI control. Introduction of forgetting factors to the error in the past can resolve the disturbance problems. Various forgetting factors are developed using the delay elements, the decaying factors, and the combination of the delay and decaying factors. The proposed various extended integral control schemes can be applicable to the corresponding PI control designs in which the error in the past may badly affect the current steady-state operation points and may cause some disturbances for other control purposes.

• 충청수학회지
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• 제26권2호
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• pp.259-268
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• 2013

In this paper, we define the Banach-valued strong $M_{\alpha}$-integral and study the primitive of the strong $M_{\alpha}$-integral in terms of the $M_{\alpha}$-variational measures. We also prove that every function of bounded variation is a multiplier for the strong $M_{\alpha}$-integral.

• 호남수학학술지
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• 제42권2호
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• pp.359-376
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• 2020

The present research investigates the bounds of an integral operator for convex functions and a differentiable function f such that |f'| is convex. Further, these bounds of integral operators specifically produce estimations of various classical fractional and recently defined conformable integral operators. These results also contain bounds of Hadamard type for symmetric convex functions.

• 대한수학회논문집
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• 제13권3호
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• pp.683-689
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• 1998

There have been developed many integral representations for Euler's constant some of which are recorded here. We are aiming at showing a (presumably) new integral form of Euler's constant and disproving another integral representation for this constant which were recently proposed by Jean Angelsio, Garches, France, in American Mathematical Monthly. By modifying the Angelsio's incorrectly proposed integral form of Euler's constant, we also provide an integral representation for Euler's constant.

• 대한수학회논문집
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• 제13권2호
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• pp.307-316
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• 1998

In this paper Denjoy*-Dunford, Denjoy*-Pettis, Denjoy*-McShane and Denjoy*-Bochner integrals of functions which map an interval [a,b] into a Banach space X are defined. And we give the relations among the integrals.

• 충청수학회지
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• 제21권1호
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• pp.79-89
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• 2008

In this paper, we define the ap-Henstock integral and the ap-Denjoy integral of Banach-valued functions, and we investigate some properties of these two integrals. In particular, we show that the ap-Henstock integral is equivalent to the ap-Denjoy integral.

• 한국지능시스템학회논문지
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• 제14권7호
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• pp.934-938
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• 2004

In this paper, we introduce the seminormed fuzzy co-integral as a complementary concept of seminormed fuzzy integral, and investigate its properties. Furthermore we propose an application of this new integral for decision making problems.

• 전자공학회논문지D
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• 제35D권6호
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• pp.8-14
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• 1998

Wiener-Hopf 적분방정식으로부터 경계면 위의 전체파를 미지수로 하는 파수영역에서의 쌍적분 방정식을 얻는 기존의 유도과정을 검토하였다. 이러한 기존의 유도 과정은 결국 Wiener-Hopf 적분방정식으로부터 Helmholtz-Kirchhoff 적분방정식을 유도하는 과정임을 해석적으로 보였다.

• 대한수학회지
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• 제54권6호
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• pp.1641-1665
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• 2017

The paper considers p-valent functions in the open unit disk. We study the integral means along with the area integral problems for functions belonging to a family of p-valent functions.