• 대한수학교육학회지:수학교육학연구
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• 제17권2호
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• pp.91-109
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• 2007

이 논문은 이원일차연립방정식과 관련하여 초등수학과 중등수학의 연결성 문제를 분석한 것이다. 초등학교 수학 교과서와 중학교 수학 교과서에서 이원일차연립방정식 문장제가 다루어지는 방식을 연결성 측면에서 분석하고, 연결성을 강화하는 접근법을 제안하였다. 교과서 분석 결과 이원일차연립방정식 문장제에 대한 초등학교 수학 교과서와 중학교 수학 교과서의 접근법이 서로 연결되어 있지 않았다. 이에 이 논문에서는 이원일차연립방정식 문장제 해결에 그림그리기 전략을 도입하여 초등수학과 중등수학의 연결성을 강화하는 방안을 한 초등 6학년 아동의 사례를 통해 제시하였다.

• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.167-178
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• 2007

This paper deals with the solutions of linear inhomogeneous time-fractional partial differential equations in applied mathematics and fluid mechanics. The fractional derivatives are described in the Caputo sense. The fractional Green function method is used to obtain solutions for time-fractional wave equation, linearized time-fractional Burgers equation, and linear time-fractional KdV equation. The new approach introduces a promising tool for solving fractional partial differential equations.

• East Asian mathematical journal
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• 제27권3호
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• pp.289-297
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• 2011

The introduction of fuzzy differential equation is to deal wit fuzzy dynamic systems. As classical differential equations, it is difficult to find the solutions to all fuzzy differential equations. In this paper an existence and uniqueness theorem for linear fuzzy differential equations is obtained. Moreover, the exact solution to linear fuzzy differential equation is given.

• 한국방재학회:학술대회논문집
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• 한국방재학회 2007년도 정기총회 및 학술발표대회
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• pp.395-398
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• 2007

In this study, new dispersion-correction terms are added to leap-frog finite difference scheme for the linear shallow-water equations with the purpose of considering the dispersion effects of the linear Boussinesq equations for the propagation of tsunamis. The new model is applied to near Gadeok island in Pusan about The Central East Sea Tsunami in 1983 and The Hokkaldo Nansei Oki Earthquake Tsunami in 1993 one simulated in the study.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제27권1호
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• pp.35-42
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• 2020

In this paper, numerical algorithms for solving a fuzzy system of linear equations with crisp coefficients are presented. We illustrate the efficiency and accuracy of the proposed methods by solving some numerical examples. We also provide a graphical representation of the fuzzy solutions in three-dimension as a visual reference of the solution of the fuzzy system.

• East Asian mathematical journal
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• 제37권2호
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• pp.265-288
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• 2021

In the 2015 revised mathematics curriculum, the system of equations is first introduced in 'Variables and Expressions' of [Middle School Grades 1-3]. Then, It is constructed that after learning the linear function in 'Functions', the relationship between the graphs of two linear functions and the systems of linear equations are learned so that students could improve the geometric representation of the systems of equations. However, in of Elective-Centered Curriculum Common Courses, Instruction is limited to algebraic manipulation when teaching and learning systems of quadratic equations. This paper presented the teaching and learning method that can improve students' mathematical connection through various representations by providing geometric representations in parallel using GeoGebra, a mathematics learning software, with algebraic solutions in the teaching and learning situation of simultaneous quadratic equations.

• 대한수학회보
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• 제51권1호
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• pp.83-98
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• 2014

During the last decade, several papers have focused on linear q-difference equations of the form ${\sum}^n_{j=0}a_j(z)f(q^jz)=a_{n+1}(z)$ with entire or meromorphic coefficients. A tool for studying these equations is a q-difference analogue of the lemma on the logarithmic derivative, valid for meromorphic functions of finite logarithmic order ${\rho}_{log}$. It is shown, under certain assumptions, that ${\rho}_{log}(f)$ = max${{\rho}_{log}(a_j)}$ + 1. Moreover, it is illustrated that a q-Casorati determinant plays a similar role in the theory of linear q-difference equations as a Wronskian determinant in the theory of linear differential equations. As a consequence of the main results, it follows that the q-gamma function and the q-exponential functions all have logarithmic order two.

• Journal of Information Processing Systems
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• 제3권1호
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• pp.21-25
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• 2007

We propose several practical SMC protocols for privacy-preserving cooperative scientific computations. We consider two important scientific computations which involve linear equations: the linear systems of equations problem and the linear least-square problem. The protocols proposed in this paper achieve acceptable security in the sense of Du-Zhan's paradigm and t-wise collusion-resistance, and their communication complexity is O(tm), where t is a security parameter and m is the total number of participants. The complexity of our protocol is significantly better than the previous result O($m^2/{\mu}$) of [4], in which the oblivious transfer protocol is used as an important building block.

• 대한조선학회논문집
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• 제36권1호
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• pp.15-21
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• 1999

본 연구에서는 비선형적으로 매개화된 선형 운동방정식 구조의 지역 가식별성을 조사하는 방법을 제시하고, 몰수체 운동방정식에 적용하여 지역 가식별성을 조사하였다. 이 방법은 정보 행렬의 rank로 가식별성을 결정하는 해석적 표현을 제시하며 안정한 동적계에만 적용될 수 있다. 결론적으로 몰수체 운동방정식 구조는 주어진 매개변수에 대해 Glover & Willems의 정의에 따른 지역 가식별성을 갖지 못하는 것으로 나타났다.

• 한국멀티미디어학회논문지
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• 제9권5호
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• pp.554-563
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• 2006

본 논문에서는 물리기반 모델링에서 강체로 이루어진 다관절체 충돌반응을 선형시간에 처리할 수 있는 기법을 제시한다. 다관절체의 위상과 선형방정식에서의 행렬의 특성을 이용하여, 충돌반응과정에서 핵심 요소인 선형방정식의 해를 구하는 과정을 선형시간에 처리한다. 또한, 새로운 조인트의 조건식들을 제시하여, 다양한 조인트들로 구성된 다관절체 대해서도 충돌 반응을 가능하게 한다.