• Bulletin of the Korean Mathematical Society
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• v.47 no.6
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• pp.1235-1250
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• 2010

In this paper we establish the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems driven by a ($p_1,\ldots,p_n$)-Laplacian. Our main tool is a recent three critical points theorem of B. Ricceri.

• Communications of the Korean Mathematical Society
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• v.20 no.4
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• pp.827-835
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• 2005

As a tool of measuring the irregularity of curve, fractal dimensions can be used. For an irregular function, fractional calculus are more available. However, to know its fractional differentiability which is related to its complexity is complicated one. In this paper, variants of the Hausdorff dimension and the packing dimension as well as the derivative order are defined and the relations between them are investigated so that the differentiability of fractal curve can be explained through its complexity.

• Kyungpook Mathematical Journal
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• v.50 no.1
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• pp.123-129
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• 2010

Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft BL-algebras by using the soft set theory. The notion of filteristic soft BL-algebras is introduced and some related properties are investigated.

• Research in Mathematical Education
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• v.10 no.1 s.25
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• pp.79-87
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• 2006

In this paper we investigated the influence on school students when they use graphing calculator for exploration, including their experience of exploration, their ability and attitudes. After using graphing calculator based mathematics exploration course, two students were interviewed and 162 students who finished the course in these years were investigated. The results show that graphing calculator is a useful tool to develop students' explorative ability. Most of students had positive attitudes to and were interested in making use of graphing calculator.

• Proceedings of the Korean Society of Machine Tool Engineers Conference
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• 1998.03a
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• pp.25-29
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• 1998

One of the crucial problems that must be solved in a computerised unmanned machining environments requires the development of algorithm in order to predict the reliable cutting conditions on surface roughness. This paper is to develop the mathematical models for choosing the suitable cutting conditions and assist a comprehensive understanding of its machinability properties for cutting process by Ball End Mill. The mathematical equations developed to predict the surface results. It has been found that theoretical results obtained from the empirical equations agree with the experimental results of surface roughness.

• East Asian mathematical journal
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• v.33 no.1
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• pp.37-44
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• 2017

We will prove size estimates of the Bergman kernel for the generalized Fock space ${\mathcal{F}}^2_{\varphi}$, where ${\varphi}$ belongs to the class $\mathcal{W} $. The main tool for the proof is to use the estimate on the canonical solution to the ${\bar{\partial}}$-equation. We use Delin's weighted $L^2$-estimate ([3], [6]) for it.

• Communications of the Korean Mathematical Society
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• v.32 no.4
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• pp.885-898
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• 2017

The Bailey lemma has been a powerful tool in the discovery of identities of Rogers-Ramanujan type and also ordinary and basic hyper-geometric series identities. The mechanism of Bailey lemma has also led to the concepts of Bailey pair and Bailey chain. In the present work certain new WP-Bailey pairs have been established. We also have deduced a number of basic hypergeometric series identities as an application of new WP-Bailey pairs.

• The Mathematical Education
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• v.38 no.1
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• pp.87-94
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• 1999

A multimedia CD title is developed for learning simple closed curve and Mobius band which are one of mathematics contents in the first grade of middle school. This title visualizes various figures through graphics and animations so that students can easily understand the relevant concepts and learn them with fun. It is shown that 88.6% of 30 sampled teachers are positive for the title and that 86.7% want to use it as a teaching tool in their classes.

• Communications of Mathematical Education
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• v.11
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• pp.355-365
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• 2001

본 연구는 7차 교육과정의 수학에서의 공학적 도구의 이용 중 계산기와 그래프 그리는 도구를 중심으로 대안을 제시하고자 한다. 방법은 JAVA 언어로 개발된 계산기와 Graphing tool을 Web에 올려놓음으로써 우리 학생과 교사 모두가 언제 어디서나 접속하여 신뢰하고 이용하는 것이 가능하도록 하여 7차 교육과정이 추구하는 목표에 맞는 교육환경을 제공하는 것을 주된 목적으로 한 것이다.

• Research in Mathematical Education
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• v.11 no.3
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• pp.177-184
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• 2007

The purpose of this paper is to introduce the development of a new Lesson Video-Case Lab (LVCL) program in Suzhou, China. This program involves the creation of several series of hypermedia video-cases on teaching and learning designed to facilitate mathematics teachers' professional development. Each of these video-cases consists of lesson clips, case questions, interviews with experts, comments by peers, responses by students and other related resources. The study has implications pertaining to the use of technology in teacher development, the production of hypermedia video-cases, as well as research on case-based pedagogy and pedagogy in general.