• Title/Summary/Keyword: class field theory

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A Case Study on the Introducing Method of Irrational Numbers Based on the Freudenthal's Mathematising Instruction Theory (Freudenthal의 수학화 학습지도론에 따른 무리수 개념 지도 방법의 적용 사례)

  • Lee, Young-Ran;Lee, Kyung-Hwa
    • Journal of Educational Research in Mathematics
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    • v.16 no.4
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    • pp.297-312
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    • 2006
  • As research on the instruction method of the concept of irrational numbers, this thesis is theoretically based on the Freudenthal's Mathematising Instruction Theory and a conducted case study in order to find an introduction method of irrational numbers. The purpose of this research is to provide practical information about the instruction method ?f irrational numbers. For this, research questions have been chosen as follows: 1. What is the introducing method of irrational numbers based on the Freudenthal's Mathematising Instruction Theory? 2 What are the Characteristics of the teaming process shown in class using introducing instruction of irrational numbers based on the Freudenthal's Mathematising Instruction? For questions 1 and 2, we conducted literature review and case study respectively For the case study, we, as participant observers, videotaped and transcribed the course of classes, collected data such as reports of students' learning activities, information gathered through interviews, and field notes. The result was analyzed from three viewpoints such as the characteristics of problems, the application of mathematical means, and the development levels of irrational numbers concept.

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The Effect of u-convergence Information System on Flow Theory and Tourist Satisfaction, Reuse Intention -Focusing on Flow Theory- (플로우 이론을 적용한 u-융합정보시스템이 관광객의 만족도와 재사용의도에 미치는 영향 -플로우 이론을 중심으로-)

  • Sun, Su-Kyun;Kim, Jong-In;Ko, Sun-Young
    • Journal of Digital Convergence
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    • v.19 no.1
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    • pp.389-399
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    • 2021
  • The research background of this paper is because the u-convergence information system applying flow theory lacks the measurement of tourist satisfaction. The purpose and research method of this study are as follows. The first is the suggestion of flow relation information display format algorithm. Second, by combining this algorithm and flow theory, a pattern algorithm was created according to the content information quality and the personality type of tourists. The expected effect of this study is to derive the success factors of the u-convergence information system by generating a pattern algorithm according to the flow relationship information display format and the tourist's personality type. The limitations of this paper are limited to one area, and objectivity is poor due to the lack of data and small area. In the future, it is necessary to evaluate the effectiveness through analysis after applying the method presented to other tourist destinations. Future tasks will need to be supplemented with data from expert groups and objectivity in various regions.

A comparative study on literature class in DDC and KDC (DDC와 KDC의 문학분야 비교연구)

  • 심의순
    • Journal of Korean Library and Information Science Society
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    • v.14
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    • pp.39-69
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    • 1987
  • The purpose of this research is to analyze the differences between literature (Belles-letters) class in DDC 19 and literature class in KDC 3. The results of the study can be summarized as follows : 1. The section of philosophy and theory of literature in DDC was subdivided according to the properties as including subsection of theory of criticism but KDC didn't subdivide this section. 2. In DDC, the subsections of 'rhetoric in specific languages' and 'rhetoric of specific kinds of composition' in rhetoric section was established and can subdivide according to each languages and subjects. These considerations can be useful as compared with KDC. 3. In DDC, collections or criticism of several literatures in specific forms can be more subdivide according to specific aspects or features dealing with in the collections or criticism by a n.0, pplying Table 3-A when specified more than the literary form. 4. Reviewing a notational rank to be assigned in literatures of specific languages, Latin literature and Classical Greek literature to be ranked in division in DDC was established as subsection in KDC to treat them as literatures of minor languages. 5. The DDC can sometimes a n.0, pply, in literatures of all languages, the notations of Table 3 to be subdivided again as specific kinds of literary forms, but KDC subdivided literary forms as specific kinds of each forms in only Korean, Chinese, Japanese literature. 6. In DDC, even literatures of minor languages are provided with 'the period table for the specific literature' under each literature of specific languages in schedules and these period tables can be a n.0, pplied a n.0, ppropriately, but period numbers in KDC was established in only Korean, Chinese, Japanese literature. 7. The optional use of letter prefixes or special numbers such as 828.99 to distinguish literatures of countries other than the "mother country" which makes the use of period tables feasible, but the KDC can only use to distinguish without the function of dividing a period such as DDC. 8. According to a n.0, pplying Table 3 and 3-A also in literatures of specific languages(810-890), a literature of specific languages, a specific literary form in literature of specific languages and a literature or literary form of specific period, in case of a n.0, pplying 'form divisions 08-09', can subdivide again by a specific aspect or feature dealing with in the works when specified. 9. For grasping the rate of subdividing, after selecting several sample-titles in literary field, they classified by DDC and KDC and gave a definite score in accordance with analytic small subjects. According to the results, the rate of subdividing in literature class of KDC is proved as less 22.8% than DDC. than DDC.

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EXTREMAL F-INDICES FOR BICYCLIC GRAPHS WITH k PENDANT VERTICES

  • Amin, Ruhul;Nayeem, Sk. Md. Abu
    • The Pure and Applied Mathematics
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    • v.27 no.4
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    • pp.171-186
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    • 2020
  • Long back in 1972, it was shown that the sum of the squares of vertex degrees and the sum of cubes of vertex degrees of a molecular graph both have large correlations with total 𝜋-electron energy of the molecule. Later on, the sum of squares of vertex degrees was named as first Zagreb index and became one of the most studied molecular graph parameter in the field of chemical graph theory. Whereas, the other sum remained almost unnoticed until recently except for a few occasions. Thus it got the name "forgotten" index or F-index. This paper investigates extremal graphs with respect to F-index among the class of bicyclic graphs with n vertices and k pendant vertices, 0 ≤ k ≤ n - 4. As consequences, we obtain the bicyclic graphs with largest and smallest F-indices.

Implicit Adjuncts : The Cases of Degree Modifiers in Japanese and English

  • Ikeya, Akira;Ikawa, Hisako
    • Proceedings of the Korean Society for Language and Information Conference
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    • 2002.02a
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    • pp.92-102
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    • 2002
  • The issue of adjuncts has long been a neglected field of linguistic study whether it be syntactic or semantic. It is only in Pustejovsky (1995) that we find a brief mention of adjuncts. In addition to what the author calls true arguments, default arguments, and shadow arguments, he sets up a class of true adjuncts citing the following sentence, Mary drove down to new York on Tuesday. We will take up a small lexical item sugiru in Japanese, and we will argue that we should posit the notion of implicit adjuncts in describing the properties with the small Japanese lexical item sugiru. Throughout the discussions that follow we will demonstrate how the notion is independently motivated irrespective of what linguistic theory we are going to adopt.

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A novel meshfree model for buckling and vibration analysis of rectangular orthotropic plates

  • Bui, Tinh Quoc;Nguyen, Minh Ngoc
    • Structural Engineering and Mechanics
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    • v.39 no.4
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    • pp.579-598
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    • 2011
  • The present work mainly reports a significant development of a novel efficient meshfree method for vibration and buckling analysis of orthotropic plates. The plate theory with orthotropic materials is followed the Kirchhoff''s assumption in which the only deflection is field variable and approximated by the moving Kriging interpolation approach, a new technique used for constructing the shape functions. The moving Kriging technique holds the Kronecker delta property, thus it makes the method efficiently in imposing the essential boundary conditions and no special techniques are required. Assessment of numerical results is to accurately illustrate the applicability and the effectiveness of the proposed method in the class of eigenvalue problems.

Stochastic Model for Unification of Stereo Vision and Image Restoration (스테레오 비젼 및 영상복원 과정의 통합을 위한 확률 모형)

  • Woo, Woon-Tak;Jeong, Hong
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.9
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    • pp.37-49
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    • 1992
  • The standard definition of computational vision is a set of inverse problems of recovering surfaces from images. Thus the common characteristics of the most early vision problems are ill-posed. The main idea for solving ill-posed problems is to restrict the class of admissible solutions by introducing suitable a priori knowledge. Standard regurarization methods lead to satisfactory solutions of early vision problems but cannot deal effectively and directly with a few general problems, such as discontinuity and fusion of information from multiple modules. In this paper, we discuss limitations of standard regularization theory and present new stochastic method. We will outline a rigorous approach to overcome part of ill-posedness of image restoration, edge detection, and stereo vision problems, based on Bayes estimation and MRF(Markov random field) model, that effectively deals with the problems. This result makes one hope that this framework could be useful in the solution of other vision problems.

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Development of Ontology for Thai Country Songs

  • Thunyaluk, Jaitiang;Malee, Kabmala;Wirapong, Chansanam
    • Journal of Information Science Theory and Practice
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    • v.11 no.1
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    • pp.79-88
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    • 2023
  • This study aimed to develop an ontology for Thai country songs by using the seven steps of an ontology development process. Hozo-Ontology Editor software and Ontology Application Management Framework were tools used in this study. Nine classes of ontology were identified: song, singer, emotion, author, language used, language type, song style, original, and content, and it was found that the song class had a relationship with all of the other classes. The developed ontology was evaluated by seeking opinions from experts in the field of Thai country songs, who agreed that the ontology was highly effective. Additionally, the evaluation employed the knowledge retrieval concept, and the precision, recall, and overall effectiveness were measured, with a precision of 92.59%, a recall of 86.21%, and an overall effectiveness (F-measure) of 89.28%. These results indicate that the developed ontology is highly effective in describing the scope of knowledge of Thai country songs.

RELATIONS OF IDEALS OF CERTAIN REAL ABELIAN FIELDS

  • Kim, Jae Moon
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.221-229
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    • 1998
  • Let $k$ be a real abelian field and $k_{\infty}$ be its $\mathbb{Z}_p$-extension for an odd prime $p$. Let $A_n$ be the Sylow $p$-subgroup of the ideal class group of $k_n$, the $nth$ layer of the $\mathbb{Z}_p$-extension. By using the main conjecture of Iwasawa theory, we have the following: If $p$ does not divide $\prod_{{{\chi}{\in}\hat{\Delta}_k},{\chi}{\neq}1}B_{1,{\chi}{\omega}^{-1}$, then $A_n$ = {0} for all $n{\geq}0$, where ${\Delta}_k=Gal(k/\mathbb{Q})$ and ${\omega}$ is the Teichm$\ddot{u}$ller character for $p$. The converse of this statement does not hold in general. However, we have the following when $k$ is of prime conductor $q$: Let $q$ be an odd prime different from $p$. and let $k$ be a real subfield of $\mathbb{Q}({\zeta}_q)$. If $p{\mid}{\prod}_{{\chi}{\in}\hat{\Delta}_{k,p},{\chi}{\neq}1}B_{1,{\chi}{\omega}}-1$, then $A_n{\neq}\{0\}$ for all $n{\geq}1$, where ${\Delta}_{k,p}$ is the $Gal(k_{(p)}/\mathbb{Q})$ and $k_{(p)}$ is the decomposition field of $k$ for $p$.

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A Study on the Process of Perceiving Creativity Concept by Kindergarten Teachers (유아 교사들의 창의성교육에 관한 개념을 인식하는 과정에 관한 연구)

  • Chang, Inhee;Kim, Leejin
    • The Journal of the Korea Contents Association
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    • v.17 no.4
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    • pp.25-35
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    • 2017
  • This study was carried out qualitative study to figure out the process of the perception of creativity conception by kindergarten teachers in Korea. The interviewees are 4 current teachers in kindergarten in Seoul. Data was collected from semi-structured in-depth interview. Collected data were analyzed using Modified Grounded Theory Approach by Kinoshita, a kind of qualitative research method. As a result of data analysis, kindergarten teachers who experts in child education understood key concepts of creativity as unique thinking and rich expression ability. Such concept is mainly acquired at the class in which direct encounter with children is made. Besides, they formed the concept of creativity through reading books and articles, graduate studies and teaching Nuri Curriculum. In the preceding studies on the concept of creativity targeted to elementary and secondary school teachers, they had shared wide concept, but kindergarten teachers shared only some key concepts on creativity. This result would mean that the concept of creativity in the early children education is relatively coherent and such concept and teaching method are relatively well delivered to children at the education field.