• Title/Summary/Keyword: generalizations

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Analysis of Mathematical Quality of Instruction between Preservice and Inservice Mathematics Teachers (MQI를 이용한 예비교사와 현직교사의 수학수업의 질 분석)

  • Kim, Seong-Kyeong
    • The Mathematical Education
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    • v.55 no.4
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    • pp.397-416
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    • 2016
  • This study analyzed the quality of mathematics classes with observations using the instrument, MQI(Mathematical Quality of Instruction). Class recordings and interviews were conducted on 2 pre-service teachers and 4 in-service teachers. This study recorded and analyzed 3 or 4 classes for each mathematics teacher by using revised MQI. There were a total of 8 raters: 2 or 3 raters analyzed each class. MQI has four dimensions: Richness of the Mathematics, Working with Students and Mathematic, Errors and Imprecision, Student Participation in Meaning-Making and Reasoning. In the dimension of 'Richness of Mathematics', all teachers had good scores of 'explanations of teacher' but had lower scores of 'linking and connections', 'multiple procedures or solution methods' and 'developing mathematical generalizations.' In the dimension of 'Working with Students and Mathematics', two in-service teachers who have worked and having more experience had higher scores than others. In the dimension of 'Errors and Imprecision', all teachers had high scores. In the dimension of 'Student Participation in Meaning-Making and Reasoning', two pre-service teachers had contrast and also two in-service teachers who hadn't worked not long had contrast. Implications were deducted from finding to improving quality of mathematics classes.

Epilogue to the unabridged Korean translation of On War ("전쟁론" 완역 후기)

  • Kim, Man-Su
    • Journal of National Security and Military Science
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    • s.7
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    • pp.305-331
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    • 2009
  • This year I published a Korean translation of On War in three volumes, written by Prussian general Carl von Clausewitz. I believe it is the first unabridged Korean translation from the original German text, Vom Kriege. It is true that the work has been translated into Korean several times, but some translations have been done from English or Japanese versions, while others are abridged ones. It is not easy to make a good translation of On War, partly because the book is actually an unfinished work, and partly because it contains almost all academic subjects in social sciences. Moreover, two aspects of the dialectical logic in the book make it more difficult to understand. One is inductive reasoning, the other is deductive explanation. The former is to 'ascend' to draw principles and generalizations from empirical experience, the latter is to 'descend' to describe and explain given principles, often by concrete examples. Considering these difficulties, if we want to have better translations than existing ones, there should be substantial commentaries which contain not only history of wars, but also biographies and geographies concerned. I hope that On War can be taught and studied in many universities, for it will make it easier to produce reliable commentaries.

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HYPER K-SUBALGEBRAS BASED ON FUZZY POINTS

  • Kang, Min-Su
    • Communications of the Korean Mathematical Society
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    • v.26 no.3
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    • pp.385-403
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    • 2011
  • Generalizations of the notion of fuzzy hyper K-subalgebras are considered. The concept of fuzzy hyper K-subalgebras of type (${\alpha},{\beta}$) where ${\alpha}$, ${\beta}$ ${\in}$ {${\in}$, q, ${\in}{\vee}q$, ${\in}{\wedge}q$} and ${\alpha}{\neq}{\in}{\wedge}q$. Relations between each types are investigated, and many related properties are discussed. In particular, the notion of (${\in}$, ${\in}{\vee}q$)-fuzzy hyper K-subalgebras is dealt with, and characterizations of (${\in}$, ${\in}{\vee}q$)-fuzzy hyper K-subalgebras are established. Conditions for an (${\in}$, ${\in}{\vee}q$)-fuzzy hyper K-subalgebra to be an (${\in}$, ${\in}$)-fuzzy hyper K-subalgebra are provided. An (${\in}$, ${\in}{\vee}q$)-fuzzy hyper K-subalgebra by using a collection of hyper K-subalgebras is established. Finally the implication-based fuzzy hyper K-subalgebras are discussed.

SOFT SOMEWHERE DENSE SETS ON SOFT TOPOLOGICAL SPACES

  • Al-shami, Tareq M.
    • Communications of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1341-1356
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    • 2018
  • The author devotes this paper to defining a new class of generalized soft open sets, namely soft somewhere dense sets and to investigating its main features. With the help of examples, we illustrate the relationships between soft somewhere dense sets and some celebrated generalizations of soft open sets, and point out that the soft somewhere dense subsets of a soft hyperconnected space coincide with the non-null soft ${\beta}$-open sets. Also, we give an equivalent condition for the soft csdense sets and verify that every soft set is soft somewhere dense or soft cs-dense. We show that a collection of all soft somewhere dense subsets of a strongly soft hyperconnected space forms a soft filter on the universe set, and this collection with a non-null soft set form a soft topology on the universe set as well. Moreover, we derive some important results such as the property of being a soft somewhere dense set is a soft topological property and the finite product of soft somewhere dense sets is soft somewhere dense. In the end, we point out that the number of soft somewhere dense subsets of infinite soft topological space is infinite, and we present some results which associate soft somewhere dense sets with some soft topological concepts such as soft compact spaces and soft subspaces.

THE SOURCE OF SEMIPRIMENESS OF RINGS

  • Aydin, Neset;Demir, Cagri;Camci, Didem Karalarlioglu
    • Communications of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1083-1096
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    • 2018
  • Let R be an associative ring. We define a subset $S_R$ of R as $S_R=\{a{\in}R{\mid}aRa=(0)\}$ and call it the source of semiprimeness of R. We first examine some basic properties of the subset $S_R$ in any ring R, and then define the notions such as R being a ${\mid}S_R{\mid}$-reduced ring, a ${\mid}S_R{\mid}$-domain and a ${\mid}S_R{\mid}$-division ring which are slight generalizations of their classical versions. Beside others, we for instance prove that a finite ${\mid}S_R{\mid}$-domain is necessarily unitary, and is in fact a ${\mid}S_R{\mid}$-division ring. However, we provide an example showing that a finite ${\mid}S_R{\mid}$-division ring does not need to be commutative. All possible values for characteristics of unitary ${\mid}S_R{\mid}$-reduced rings and ${\mid}S_R{\mid}$-domains are also determined.

Co-Event Conflation for Compound Verbs in Korean

  • Jun, Jong-Sup
    • Proceedings of the Korean Society for Language and Information Conference
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    • 2007.11a
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    • pp.202-209
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    • 2007
  • Compound verbs in Korean show properties of both syntactic phrases and lexical items. Earlier studies of compound verbs have either assumed two homonymous types, i.e. one as a syntactic phrase and the other as a lexical item, or posited some sort of transformation from a syntactic phrase into a lexical item. In this paper, I show empirical and conceptual problems for earlier studies, and present an alternative account in terms of Talmy's (2000) theory of lexicalization. Unlike Talmy who proposed [Path] conflation into [MOVE] for Korean, I suggest several types of [Co-Event] conflation; e.g. [$_{Co-Event}$ Manner] conflation as in kwul-e-kata 'to go by rolling', [$_{Co-Event}$ Concomitance] conflation as in ttal-a-kata 'to follow', [$_{Co-Event}$ Concurrent Result] conflation as in cap-a-kata 'to catch somebody and go', etc. The present proposal not only places Korean compound verbs in a broader picture of cross-linguistic generalizations, but, when viewed from Jackendoff's (1997) productive vs. semi-productive morphology, provides a natural account for classifying the compounds that allow -se intervention from those that do not.

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A Third Way to Interpretations of Probability (확률해석의 제 삼의 길)

  • Yang, Kyoung-Eun
    • Korean Journal of Logic
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    • v.13 no.1
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    • pp.53-81
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    • 2010
  • This essay attempts to suggest a third way to interpret probabilities based on diagnoses of weaknesses and strengths of the objective and the subjective interpretations. While the objective interpretations capture important intuitions in employing probability, it can provide the definitions of probability only in a circular way. Although the subjective interpretations seem to avoid this problem, it also fails to understand how one can extract certain information from the ignorance of a given system. It will be suggested that these problems can be bypassed if we consider probabilities as theoretical structure, which provide significant generalizations about the world.

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Business Strategy of Fast Fashion -A Case Study of Zara- (패스트 패션의 비즈니스 전략 -자라의 사례 연구-)

  • Kim, Gihyung;Lee, Seunghee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.38 no.2
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    • pp.175-190
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    • 2014
  • This study analyzes the business strategy of fast fashion through Zara, a successful fashion brand from Inditex Spain. An in-depth case approach is adopted based on extensive secondary research that includes literature and press releases published in Korean as well as English. The findings of this research demonstrate a speedy and flexible process occurring in the supply chain of its fast fashion business and the cooperation between the company's headquarters and international subsidiaries. Zara's headquarters executes four representative strategies: competitive market research, an integrated organizational structure, small quantity batch production, and a specialized distribution system. Zara's international subsidiaries execute their own four representative strategies: differentiated international expansion, independent human resource management, small but fundamental IT, and maximization of store resources. These two core parts intimately work together to satisfy target customers all over the world by bringing competitive advantages to the fashion business and represent a key concept of Zara's business strategy. The main drawbacks of case studies are limited validity and representativeness restraining the potential for making generalizations. However this case is considered sufficient to provide valuable insight and improve the understanding of operation strategy in fast fashion.

A Study on the Data Reduction Techniques for Small Scale Map Production (소축적 지도제작을 위한 데이터 감축 기법에 관한 연구)

  • 곽강율;이호남;김명배
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.13 no.1
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    • pp.77-83
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    • 1995
  • This paper is concentrated on map generalization in digital environment for automated multi-scale map pro-duction using conventional hardcopy maps. Line generalization is urgently required process to prepare small scale digital map database when large scale map databases are available. This paper outlines a new approach to the line generalization when preparing small scale map on the basis of existing large scale distal map. Line generalizations are conducted based on zero-crossing algorithm using six sheets of 115,000 scale YEOSU area which produced by National Geographic Institute. The results are compared to Douglas-Peucker algorithm and manual method. The study gives full details of the data reduction rates and alternatives based on the proposed algorithm.

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An Analysis on Inquiry Elements of Environmental Units in the 10th Grade Science Textbooks, the 7th Curriculum (제 7차 교육과정 10학년 과학 교과에 포함된 환경단원의 탐구요소 분석)

  • Oh, Kang-Ho;Koh, Yeong-Koo
    • Hwankyungkyoyuk
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    • v.17 no.1
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    • pp.77-89
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    • 2004
  • This study aims to consider interrelations and reasonability to inquiry elements of environment units in 10th Science textbooks of 7th curriculum on the basis of their inquiry contexts, processes and activities. Frequency of inquiry contexts is 59.9% of the highest value in natural environment context but is 4.0% of the lowest one in techno-industrial context. Measurements, inferences, predictions, experiments, data-interpretations, correlations, conclusionreveals in inquiries are in all the textbooks, but observations and classifications, hypothesis generations, controlling variables, experimental designs and generalizations are not in some textbooks. Discussions, experiments, investigations in inquiry activities are included in all the textbooks. However, inspections are not appeared in the all the books. Based on the above results, social and techno-industrial inquiry contexts in the varied scopes are necessary in the environment curricula with a unified direction. Inquiry processes with pro-environmental behaviors as a last goal might be given into the curricula, having tasks that could be understand unified inquiries. In addition, inspections with effectiveness might be thrown into the scene of education.

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