• Journal of Educational Research in Mathematics
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• v.15 no.2
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• pp.197-213
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• 2005

There are not a few mathematical terms used as the undefined terms in school mathematics. The purpose of this study is to investigate critically the undefined mathematical terms in elementary school mathematics textbooks of Korea. As the result, the following suggestions are proposed. Firstly, It is not proper to use the terms which mathematics curriculum does not allow to use in elementary school math as the undefined terms in elementary school mathematics textbooks. Secondly, everyday-based undefined terms must be defined in elementary school mathematics textbook if their mathematical meanings are different from their everyday-based meanings. Thirdly, we need to consider the consistency when we use the undefined terms in elementary school mathematics. Fourthly, undefined terms should be define newly when the contexts in which they are used are changed or expanded. Finally, in elementary school mathematics textbooks, it is needed to define some purely mathematical undefined terms that there is no evidence which shows students grasp well their meaning.

• The Mathematical Education
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• v.50 no.4
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• pp.429-440
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• 2011

This paper analysed gifted middle students' conception of the definitions of point and line and the uses of definitions in proving. The findings of this paper suggest that the concept of mathematical definitions is very unnatural to students, therefore teachers and textbooks need to explain explicitly the characteristics of mathematical definitions which are different from dictionary definitions using common sense. Also introducing undefined terms in middle school geometry would give students a critical chance to deal with the transition from dictionary definitions to mathematical definitions.

• Journal of the Korean Society for Precision Engineering
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• v.21 no.11
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• pp.46-52
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• 2004

CMP (Chemical-Mechanical Polishing) is a process in which both chemical and mechanical mechanisms act simultaneously to produce the planarized wafer. CMP process is an extensive usage and continuing high growth rates in the semiconductor industry. The understanding of the process, however, is much slower. The nature of material removal from the wafer is still undefined and ambiguous. Material removal rate according to the slurry flow rate is also undefined and ambiguous. Thus, in this study, the basic mechanism of material removal rate as slurry flow rate is defined in terms of energy supply and energy loss.

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.2
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• pp.137-159
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• 2005

As what exactly understands a meaning of mathematics terms, is a starting point of mathematical thinking, it plays a very important role in the mathematics learning. What understood mathematics terms which were defined here, includes not only the terms of comprising its definition, but also all of the understanding in context, situation, intention and purpose, which came to give its definition. Due to this reason, it needs to be examined how much students are correctly understanding about mathematics terms which appear in the texts, and to seek for its cause for the terms which are felt to be difficult. Accordingly, this study investigated into mathematics terms which are used for the field of geometry in the elementary school mathematics textbooks, and tried to analyze students' understanding level about each term.

• Journal of KIISE:Computer Systems and Theory
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• v.35 no.4
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• pp.178-185
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• 2008

This research presents an translation technique of encoding rewrite rules with patterns into the lambda calculus. We show, following the theory of Böhm separability, rewrite rules with distinctive patterns, called separable systems, can be translated into the lambda calculus. Moreover, according to the property of Böhm equivalence classes, we can also encode rewrite systems with default rules, which allows to interpret some of 'undefined' terms of TRSs as an identified lambda term.

• Architectural research
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• v.18 no.1
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• pp.21-29
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• 2016

Importance of FM has rapidly increased because of its growing business. However, due to lack of clarity and identity of FM in professional areas, standardization of FM became to be imperative in such a rapidly changing global business environment. Facility services are defined as the provision of support the primary activities of an organization, delivered by an internal or external provider. Majority of FM activities are services related to 'space and infrastructure' and 'people and organization' (CEN, 2011). The purpose of this study is to investigate definitions and characteristics of FM from both globally and domestic environment, by comparison with international or national standards, to identify quality management in FM and service characteristics of FM, to investigate the differences in service level elaboration in FM, and to suggest standard issues of quality management in FM service quality. This study examines contents of the European Standards in FM, Part 3 'Guidance on quality in Facility Management, especially for the process of QM standardized by CEN (2011) and explores undefined issues such as service level, measurement metrics according to service characteristics of FM. The European FM Standard guides the common process of QM in terms of requirements specification, service level elaboration, measurement metrics development although it does not specifically address various service levels, specific performance metrics and indicators.

• Journal of the Korean Chemical Society
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• v.51 no.6
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• pp.560-568
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• 2007

The aim of this study is to investigate the terminology of chemically unclear ‘heavy metals' which were expressed in the Korean secondary science textbook in terms of the definition, the type and the meaning. Initial results showed that six of ‘Chemistry I' textbooks among these texts defined a heavy metal with the density and described it as a metal which is hazardous and continuously accumulated in the human body. Specifically, cadmium, lead and mercury were presented as examples of the hazardous metal in all of the eight textbooks but non-metals such as arsenic and absolutely essential metals including chrome, manganese, iron, cobalt, nickel and copper were also given in the texts. Most of the texts described the hazardousness and toxicity of the metal too simple to understand the mechanism of its intoxication despite considering all of the factors including its oxidation state, residual amount and reactivity with biomolecules of the human body. Such an ambiguous definition and explanation may excluded in the textbook because the chemically undefined chemical vocabulary leads students to cause an alternative conception of the heavy metal, which means that the metal could be identical with toxins.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.11 no.3
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• pp.500-506
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• 2007

The Type Object Design Pattern is proposed to provide a solution on the situation in the case that one class has too many subclasses or the number of subclasses are undefined. Although this pattern has many advantages in terms of applicability and dynamic object behavior, it has a weak point in runtime pattern operation that it has to build and maintain a class reference mechanism in runtime to reference the class (de facto 'object') of instances. To solve that problem, this paper addresses the solution of the runtime class reference problem of Type Object Pattern. it defines a new class of Type Object Class (TOC) from Type Class and Object Class in Type Object pattern and presents the methods of creating, compiling, and memory-loading the TOC. It depends on built-in class reference mechanism of object-oriented programming language, and is not necessary to fit with the additional mechanism. Consequently, we need not to set up the additional class reference mechanism and system performance is enhanced due to it.

• Journal of Cancer Prevention
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• v.23 no.4
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• pp.176-182
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• 2018

Background: Family physicians (FPs) play an important role in cancer control. The aim of this study was to understand the functions of FPs in cancer control and to explore FPs' perceptions of their own roles and the difficulties they face in cancer control in Karabuk province, Turkey. Methods: The study consisted of two methodological parts. The qualitative part included a descriptive study in which data were collected from 87.5% (n=56) out of all FPs in Karabuk using a questionnaire. In the quantitative part, in-depth interviews with 15 FPs were conducted and analyzed through content analysis. Results: Half of the FPs (50.0%) provided cancer prevention information for their registered people, focusing on especially smoking cessation. In the last three months, the proportion of FPs who had not invited anyone to screenings was 37.5% for the pap test, 26.8% for the mammography, 19.0% for the fecal occult blood test and 34.5% for the colonoscopy. Only 16.1% of them reported that they made home visits for cancer patients. In the qualitative part of study, the following themes were highlighted: the perceived responsibilities of FPs regarding cancer control; the effect of geographically undefined working area of FPs; the issues with coordination between FPs and specialists; the effect of the number of primary care team members. Conclusions: Cancer control services provided by FPs have significant problems in terms of the FPs' approach to the services and their content, continuity and coordination.

• Steel and Composite Structures
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• v.46 no.1
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• pp.1-13
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• 2023

Elastic bending of imperfect functionally graded sandwich plates (FGSPs) laying on the Winkler-Pasternak foundation and subjected to sinusoidal loads is analyzed. The analyses have been established using the quasi-3D sinusoidal shear deformation model. In this theory, the number of unknowns is condensed to only five unknowns using integral-undefined terms without requiring any correction shear factor. Moreover, the current constituent material properties of the middle layer is considered homogeneous and isotropic. But those of the top and bottom face sheets of the graded porous sandwich plate (FGSP) are supposed to vary regularly and continuously in the direction of thickness according to the trigonometric volume fraction's model. The corresponding equilibrium equations of FGSPs with simply supported edges are derived via the static version of the Hamilton's principle. The differential equations of the system are resolved via Navier's method for various schemes of FGSPs. The current study examine the impact of the material index, porosity, side-to-thickness ratio, aspect ratio, and the Winkler-Pasternak foundation on the displacements, axial and shear stresses of the sandwich structure.