• 충청수학회지
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• 제31권4호
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• pp.487-509
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• 2018

The Truncated Moment Problem (TMP) entails finding a positive Borel measure to represent all moments in a finite sequence as an integral; once the sequence admits one or more such measures, it is known that at least one of the measures must be finitely atomic with positive densities (equivalently, a linear combination of Dirac point masses with positive coefficients). On the contrary, there are more general moment problems for which we aim to find a "signed" measure to represent a sequence; that is, the measure may have some negative densities. This type of problem is referred to as the General Truncated Moment Problem (GTMP). The Jordan Decomposition Theorem states that any (signed) measure can be written as a difference of two positive measures, and hence, in the view of this theorem, we are able to apply results for TMP to study GTMP. In this note we observe differences between TMP and GTMP; for example, we cannot have an analogous to the Flat Extension Theorem for GTMP. We then present concrete solutions to lower-degree problems.

• East Asian mathematical journal
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• 제32권4호
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• pp.501-518
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• 2016

In this paper, we analyzed the correlation among scores of the mathematics B-type grade of College Scholastic Ability Test(CSAT), scores of Mathematics Level Assessment(MLA) and written test scores of Basic Mathematics Subject(BMS) made by students. Especially, we examined the relationship between CSAT grade with results of MLA and results of BMS through survey of students who changed their grades and learned about reasons. In addition, we analyzed error types for the descriptive problem solving in BMS written tests..

• 한국수학교육학회지시리즈C:초등수학교육
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• 제3권1호
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• pp.37-45
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• 1999

This paper investigates the comparative effectiveness of two kinds of instructional methods in transfer of mathematics learning: one based on the situated cognition, ie. situated learning and the other based on traditional learning. Two classes of second graders studied the instruction about 3-digit addition and subtraction. After that, they completed two written tests and a real situation test. As a result. no significant differences were found between the two group's performance on the written test 1 and real situation test. But the situated learning group performed significantly better on the performance of story problem than traditional group. This result indicated that the situated learning made improvement in transfer of mathematic loaming. As a result of interviews with 12 children, the situated loaming group's children were able to use contextual resources in solving real situation as well as story problems.

• 대한간호학회지
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• 제36권1호
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• pp.25-36
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• 2006

Purpose: The purpose of the study was to identify the adaptation process to problem based learning(PBL) among nursing students who have experienced PBL classes for two years. Method: Data was collected from 11 nursing students with in-depth interviews and direct observation of their PBL experiences by a researcher who has been a facilitator for PBL class for 3years. Immediately after the interviews all of them were transcribed. It was analyzed by the Ground theory of Corbin and Strauss. Results: A derived core category was 'Acquiring PBL'. 4 stages of the acquiring process were derived and written in time sequence: chaos, confusion, beginning insight, and achievement stage. Conclusion: The results will not only expand understanding of the students for the facilitator and school which has adopted PBL but also provide information to develop an orientation program for PBL. Further research on the facilitator's role experiences is recommended.

• 산업경영시스템학회지
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• 제15권26호
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• pp.13-19
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• 1992

MODM(multiobjective decision-making)problem is very complex system for the analysist and decision maker. Therefore, it requires suitable MODM method to solve multiobjective decision-making problem. This paper presents an interactive fuzzy decision making method for solving multiobjective nonlinear programming problems with fuzzy goals and $\alpha$-cut set of fuzzy numbers. In our interactive method, if the decision maker specifies the degree $\alpha$of the objective value and the imprecise goals, λ-mux problem is solved. To examplify the proposed method, an interactive computer programming written in FORTRAN and an illustrate numerical example along with computer outputs are presented.

• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.987-1000
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• 2011

We show how the dynamic optimization problem with the capital constraint can be reduced to the problem to find an optimal modified claim $\tilde{\psi}H$ where $\tilde{\psi}$ is a randomized test in the static problem. Coherent risk measure is used as risk measure in the $L^{\infty}$ random variable spaces. The paper is written in expository style to some degree. We use an average risk of measure(AVaR), which is a special coherent risk measure, to see how to hedge the modified claim in a complete market model.

• 디지털산업정보학회논문지
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• 제8권4호
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• pp.19-24
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• 2012

Recently, universities have difficulties in operating the normal curriculum because fresher's basic academic ability is declined. It causes campus misfits so managing students become a rising issue. The education system that focuses only on college entrance exam is one of the reasons why this phenomenon occurred. So, several tries are enacted at university to improve this problem. One of the solutions is enforcing the activity with self-directed Learning Community students to know learning level themselves and execute systematic studying habit is essential for improving this problem. This activity can help students understanding and having interest in class and be motivated to study. But it had burdened tutors with submitting activity report in written form. In this paper, we suggest the Mobile Based Activity Report Submission System which can be the solution of the problem that the Self-directed Learning Community System has. This system reduces the emotional burden to write the reports and manages them efficiently.

• 한국경영과학회지
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• 제27권4호
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• pp.87-109
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• 2002

A satisfiability problem in propositional logic is the problem of checking for the existence of a set of truth values of atomic prepositions that renders an input propositional formula true. This paper describes an empirical investigation of a particular integer programming approach, using the set covering model, to solve satisfiability problems. Our satisfiability engine, SETSAT, is a fully integrated, linear programming based, branch and bound method using various symbolic routines for the reduction of the logic formulas. SETSAT has been implemented in the integer programming shell MINTO which, in turn, uses the CPLEX linear programming system. The logic processing routines were written in C and integrated into the MINTO functions. The experiments were conducted on a benchmark set of satisfiability problems that were compiled at the University of Ulm in Germany. The computational results indicate that our approach is competitive with the state of the art.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제2권1호
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• pp.37-52
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• 1998

The purpose is this study is to investigate the children's, parents's, teachers consciousness to the use of calculator in mathematics loaming and to analyze the effect of the problem solving and computation ability. The results obtained by this research are as follows： (1) Most adults using calculator by computation tool. but they believed that if children use calculator, computation abilities might be reduced. (2) By using the calculator, We can do the followings ： \circled1 to expand the computational ability from written computation to both mental computation and computational estimation, \circled2 to reinforce the problem solving abilities, \circled3 to obtain the interest and the curios on mathematics loaming. Therefore, we must endeavor actively for the broad usage of calculator in the mathematics class

• Structural Engineering and Mechanics
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• 제42권1호
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• pp.1-12
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• 2012

In this study, Pasternak foundation model, which is a two parameter foundation model, is used to analyze the behavior of laterally loaded beams embedded in semi-infinite media. Total potential energy variation of the system is written to formulate the problem that yielded the required field equations and the boundary conditions. Shear force discontinuities are exposed within the boundary conditions by variational method and are validated by photo elastic experiments. Exact solution of the deflection of the beam is obtained. Both foundation parameters are obtained by self calibration for this particular problem and loading type in this study. It is shown that, like the first parameter k, the second foundation parameter G also depends not only on the material type but also on the geometry and the loading type of the system. On the other hand, surface deflection of the semi infinite media under singular loading is obtained and another method is proposed to determine the foundation parameters using the solution of this problem.