• Journal of applied mathematics & informatics
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• 제41권3호
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• pp.687-696
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• 2023

In this paper, we introduce the 2-variable mixed-type Hermite polynomials and organize some new symmetric identities for these polynomials. We find induced differential equations to give explicit identities of these polynomials from the generating functions of 2-variable mixed-type Hermite polynomials.

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.461-473
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• 2022

In this paper, we study differential equations arising from the generating functions of the geometric polynomials. We give explicit identities for the geometric polynomials. Finally, we investigate the zeros of the geometric polynomials by using computer.

• Journal of applied mathematics & informatics
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• 제41권4호
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• pp.869-882
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• 2023

In this paper, we find induced differential equations to give explicit identities of these polynomials from the generating functions of 2-variable mixed-type Hermite polynomials. Moreover, we observe the structure and symmetry of the zeros of the 2-variable mixed-type Hermite equations.

• 한국실천공학교육학회논문지
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• 제1권1호
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• pp.38-43
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• 2009

미분방정식의 학습에서 최대의 장애요소는 "풀이에 많은 시간이 소요된다는 점"과 "미분방정식의 해를 수작업으로 시각화하기 어렵다는 점"이다. 이러한 장애요소를 해결하지 않는다면, 교과목의 목표인 "미분방정식의 이해와 활용"을 달성하기 곤란하다. 본 연구에서는 이러한 장애요소를 제거하기 위한 방편으로 Maple의 활용에 대한 당위성을 설명하고, 또한 Maple을 보다 쉽게 사용할 수 있도록 개발된 단계별 Maple 실행코드를 소개한다.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2008년도 하계학술대회 논문집 Vol.9
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• pp.185-185
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• 2008

This paper describes the broadband SDC (Single-ended to Differential Converter) for Digital Video Broadcasting-Satellite $2^{nd}$ edition (DVB-S2) receiver tuner IC. It is fabricated by using $0.18{\mu}m$ CMOS process. In order to obtain high linearity and low phase mismatch, the broadband SDC (Single-ended to Differential Converter) is designed with current mirror structure and cross-coupled capacitor and current source binding differential structure at VDD. The simulation result of SDC shows IIP3 of 11.9 dBm and IIP2 of 38 dBm. It consumes 5mA current with 2.7V supply voltage.

• Journal of applied mathematics & informatics
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• 제11권1_2호
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• pp.445-451
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• 2003

In this paper we study asymptotic equivalence between linear differential system x' = A(t)x and its perturbed system y' = A(t)y(y) + g(t).

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제18권4호
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• pp.337-344
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• 2011

In this paper, we investigate h-stability of the nonlinear perturbed differential systems.

• 과학교육연구지
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• 제48권1호
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• pp.63-73
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• 2024

학습자들이 가지고 있는 교과관련 직업에 대한 이미지를 아는 것은 교사의 교수·학습의 방향성을 결정하는 좋은 자료가 된다. 기존의 그리기 이미지 분석도구는 과학자의 외형적인 이미지 및 그림을 분석하는 데 오랜 시간이 소요된다는 한계점이 있었다. 의미분석법은 특정 대상의 이미지를 분석하는데 널리 사용되는 방법이다. 그러나 의미분석법을 활용한 연구는 초창기 연구에서 사용한 형용사쌍을 연구 내용에 맞추어 그대로 사용함으로써 시대 변화에 따른 용어나 요인들을 반영하지 못하는 한계점이 있었다. 이 연구에서는 의미분석법을 활용하여 중등학생의 과학자에 대한 이미지 측정도구를 개발하고, 이를 중학생에게 적용하여 과학자 이미지 측정도구 활용의 유용성에 대한 교육적 시사점을 논의한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권3호
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• pp.387-402
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• 2003

Realistic Mathematics Education (RME) focuses on guided reinvention through which students explore experientially realistic context problems to develop informal problem solving strategies and solutions. This research applied this philosophy of RME to design a differential equation course at a university level. In particular, the course encouraged the students of the course to use numerical methods to solve differential equations. In this context, the purpose of this research was to describe the developmental process in which the students constructed and reinvented Euler algorithm in the class. For the purpose, this paper will present the didactical principle of RME and describe the process of developmental research to investigate the inferential process of students in solving the first order differential equation numerically. Finally, the qualitative analysis of the students' reasoning and use of symbols reveals how the students reinvent Euler algorithm under the didactical principle of guided reinvention. In this research, it has been found that the students developed deep understanding of Euler algorithm in the class. Moreover, it has been shown that the experience of doing mathematics in the course had a positive impact on students' mathematical belief and attitude. These findings imply that the didactical principle of RME can be applied to design university mathematical courses and in general, provide a perspective on how to reform mathematics curriculum at a university level.

• Journal of Electrical Engineering and Technology
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• 제9권4호
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• pp.1217-1228
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• 2014

A method for faulted line detection of four parallel lines on the same tower is presented, based on four-summing and double-differential sequences of one terminal current. Four-summing and double-differential sequences of fault current can be calculated using a certain transformation matrix for parameter decoupling of four parallel transmission lines. According to fault boundary conditions, the amplitude and phase characteristics of four-summing and double-differential sequences of fault current is studied under conditions of different types of fault. Through the analysis of the relationship of terminal current and fault current, a novel methodology for fault line detection of four parallel transmission line on the same tower is put forward, which can pick out the fault lines no matter the fault occurs in single line or cross double lines. Simulation results validate that the methodology is correct and reliable under conditions of different load currents, transient resistances and fault locations.