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ON RELATIVE CLASS NUMBER AND CONTINUED FRACTIONS

  • CHAKRABORTY, DEBOPAM;SAIKIA, ANUPAM
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1559-1568
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    • 2015
  • The relative class number $H_d(f)$ of a real quadratic field $K=\mathbb{Q}(\sqrt{m})$ of discriminant d is the ratio of class numbers of $O_f$ and $O_K$, where $O_K$ denotes the ring of integers of K and $O_f$ is the order of conductor f given by $\mathbb{Z}+fO_K$. In a recent paper of A. Furness and E. A. Parker the relative class number of $\mathbb{Q}(\sqrt{m})$ has been investigated using continued fraction in the special case when $(\sqrt{m})$ has a diagonal form. Here, we extend their result and show that there exists a conductor f of relative class number 1 when the continued fraction of $(\sqrt{m})$ is non-diagonal of period 4 or 5. We also show that there exist infinitely many real quadratic fields with any power of 2 as relative class number if there are infinitely many Mersenne primes.

Class Discriminating Feature Vector-based Support Vector Machine for Face Membership Authentication (얼굴 등록자 인증을 위한 클래스 구별 특징 벡터 기반 서포트 벡터 머신)

  • Kim, Sang-Hoon;Seol, Tae-In;Chung, Sun-Tae;Cho, Seong-Won
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.46 no.1
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    • pp.112-120
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    • 2009
  • Face membership authentication is to decide whether an incoming person is an enrolled member or not using face recognition, and basically belongs to two-class classification where support vector machine (SVM) has been successfully applied. The previous SVMs used for face membership authentication have been trained and tested using image feature vectors extracted from member face images of each class (enrolled class and unenrolled class). The SVM so trained using image feature vectors extracted from members in the training set may not achieve robust performance in the testing environments where configuration and size of each class can change dynamically due to member's joining or withdrawal as well as where testing face images have different illumination, pose, or facial expression from those in the training set. In this paper, we propose an effective class discriminating feature vector-based SVM for robust face membership authentication. The adopted features for training and testing the proposed SVM are chosen so as to reflect the capability of discriminating well between the enrolled class and the unenrolled class. Thus, the proposed SVM trained by the adopted class discriminating feature vectors is less affected by the change in membership and variations in illumination, pose, and facial expression of face images. Through experiments, it is shown that the face membership authentication method based on the proposed SVM performs better than the conventional SVM-based authentication methods and is relatively robust to the change in the enrolled class configuration.

The Design and Implementation of Class Relation Information Tool from C++ Code (C++ 코드로부터 클래스 관련 정보 생성 도구의 설계 및 구현)

  • Jang, Deok-Cheol;Park, Jang-Han
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.3
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    • pp.818-830
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    • 2000
  • Automation tools for program analysis are needed in order to program understand and maintain, extract the characteristics of object-oriented program such as class name, member function and data member. In this paper, we carried out design and implementation of the automation tool for effective maintenance of object-oriented software. Being based on Reverse Engineering, this approach extracts class relationship information from C++ source code and generates object-oriented model of class diagram using UML as the standard object-oriented methodology. Therefore, this paper provides developers visualized including class information, definitions of classes, inheritance relationships, set relationships, and simple reference relationships. Finally in this paper, we propose a method that construct class relationship information to table in analysis state and make form of table construction to link form so tat developers can perform understanding and maintaining program efficiently. And this method enable to restructure and reuse in object-oriented model.

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A Study of Learner-Centered Participatory Activities and Learner Satisfaction Using a 4-Cut Cartoon Creation in College Liberal Arts English Classes

  • HyeJeong Kim
    • International Journal of Advanced Culture Technology
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    • v.11 no.3
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    • pp.106-112
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    • 2023
  • This study proposes learner participatory activities for learner-centered college liberal arts classes. In addition, it analyzes learners' perceptions of and satisfaction with learner-centered classes and identifies the issues that must be considered when planning learner-centered activities for college liberal arts classes. The study used a learner-centered participatory activity in which participants created a 4-cut cartoon addressing a specific theme. An open-ended questionnaire was administered to identify learners' attitudes about and satisfaction with the learner-centered classes. It showed that most learners (87.5%) were highly satisfied with the 4-cut cartoon creation activities in the learner-centered participatory class. Learners identified the burden- free nature of the class activities, the fact that they improved their understanding of class content, and that they were fun (not boring) as the main reasons they found the class activities satisfying. In liberal arts English classes, more diverse participatory class activities should be developed to arouse interest and motivation of learners and encourage learners' participation.

Perception and Practice of Elementary Teachers about Using Visual-Thinking in Science Classes - Focus on the Teacher's Online Community Materials - (과학 수업에서 비주얼씽킹 도입에 대한 초등교사의 인식과 실행 - 교사 온라인 커뮤니티 자료를 중심으로 -)

  • Park, Jiwon;Na, Jiyeon
    • Journal of Korean Elementary Science Education
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    • v.39 no.1
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    • pp.54-68
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    • 2020
  • The purpose of this study is to investigate how elementary teachers perceive and practice using Visual Thinking (VT) in science classes. For this, we collected 161 VT teaching materials for science that uploaded on the elementary teacher's online communities, and analyzed the characteristics. Also we interviewed four elementary teachers who have used VT in science class. The results are as follows. First, VT teaching materials shared in teacher's online communities were most often used to review the science concepts that students learned. Most of the materials required 'remember' among the Cognitive Process, and most of them provided layouts for VT activities. Second, the participants were using VT materials to review the science concepts they learned, so that students remember them. Third, the participants were satisfied because of the beliefs of effects as follows: facilitating learning and reviewing what students had learned; increasing students' positive reactions and confidence; learning through the interation among learners; the formation of habits thinking visually; indirect experiences of science class; possibility of class corresponding to learner characteristics. Fourth, the participants had difficulties in preparing for the VT science class, such as the burden of making VT materials, the long preparation time, concerns over overlapping contents, consideration of learners' VT skills, and the themselves' drawing ability. Furthermore, they also had difficulties in proceeding for the class, like different preference among learners about Visualization and loss of objectives in science class using VT. Fifth, the participants needed support as follows: platform to share students' VT results; VT case books and teachers' guidebooks; physical environment.

Development of Probabilistic Site Coefficient (확률론적 지진계수 개발)

  • Kwak, Dong-Yeop;Jeong, Chang-Gyun;Park, Du-Hee
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.707-714
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    • 2009
  • The design response spectrum generally used in Korea is decided by the site coefficients determined by deterministic methodology, while it is based on probabilistic seismic hazard analysis. The design response spectrum has to be made using probabilistic method which includes uncertainties of ground motions and ground properties for coincide with probabilistic methodology of seismic hazard analysis. In this study probabilistic site coefficients were developed, which were defined by the results of site response analysis using a set of ground motion that was compatible with present seismic hazard map. The design response spectrum defined by probabilistic seismic coefficients resulted in lower spectrum in long period area and larger spectrum in short period area. Also, the maximum spectral accelerations in site class D and site class E were lower than one in site class C while in the previous design response spectrum the maximum spectral acceleration increased from site class A to E.

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Automatic Construction of Class Hierarchies and Named Entity Dictionaries using Korean Wikipedia (한국어 위키피디아를 이용한 분류체계 생성과 개체명 사전 자동 구축)

  • Bae, Sang-Joon;Ko, Young-Joong
    • Journal of KIISE:Computing Practices and Letters
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    • v.16 no.4
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    • pp.492-496
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    • 2010
  • Wikipedia as an open encyclopedia contains immense human knowledge written by thousands of volunteer editors and its reliability is also high. In this paper, we propose to automatically construct a Korean named entity dictionary using the several features of the Wikipedia. Firstly, we generate class hierarchies using the class information from each article of Wikipedia. Secondly, the titles of each article are mapped to our class hierarchies, and then we calculate the entropy value of the root node in each class hierarchy. Finally, we construct named entity dictionary with high performance by removing the class hierarchies which have a higher entropy value than threshold. Our experiment results achieved overall F1-measure of 81.12% (precision : 83.94%, recall : 78.48%).

Quality Assessment of Clinical Practice Guidelines for Ankle Sprains Using the Appraisal of Guidelines for Research and Evaluation II Assessment Tool

  • Jun-Yeong, Jang;Min-Gi, Jo;Min-Jung, Ko;Sang-Yeup, Chae;Seungeun, Lee;Dongmin, Lee;Jung-Hyun, Kim;Bonhyuk, Goo;Byung-Kwan, Seo;Yong-Hyeon, Baek;Sang-Soo, Nam;Yeon-Cheol, Park
    • Journal of Acupuncture Research
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    • v.39 no.4
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    • pp.249-257
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    • 2022
  • This study aimed to evaluate clinical practice guidelines (CPGs) for ankle sprains using the Appraisal of Guidelines for Research and Evaluation II tool, using electronic databases (GIN, PubMed, EMBASE, NCKM, CNKI, CiNii, WanFang database, RISS, and SCOPUS), to suggest strategies for improvement in the future. The search was performed on April 23, 2021 and 10 CPGs were selected for evaluation. Three CPGs were recommended without modification (Class A scores), five were recommended with modification (Class B), and two were not recommended (Class C scores). The CPG domain that received the lowest score was "applicability." The traditional medicine CPGs scored higher [Class A (n = 1) and Class B (n = 1)] than the conventional Western medicine CPGs [Class A (n = 2), Class B (n = 4), and Class C (n = 2)] and were considered to be more methodical. In the future, more research into traditional medicine is required.

Semantic Conceptual Relational Similarity Based Web Document Clustering for Efficient Information Retrieval Using Semantic Ontology

  • Selvalakshmi, B;Subramaniam, M;Sathiyasekar, K
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.15 no.9
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    • pp.3102-3119
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    • 2021
  • In the modern rapid growing web era, the scope of web publication is about accessing the web resources. Due to the increased size of web, the search engines face many challenges, in indexing the web pages as well as producing result to the user query. Methodologies discussed in literatures towards clustering web documents suffer in producing higher clustering accuracy. Problem is mitigated using, the proposed scheme, Semantic Conceptual Relational Similarity (SCRS) based clustering algorithm which, considers the relationship of any document in two ways, to measure the similarity. One is with the number of semantic relations of any document class covered by the input document and the second is the number of conceptual relation the input document covers towards any document class. With a given data set Ds, the method estimates the SCRS measure for each document Di towards available class of documents. As a result, a class with maximum SCRS is identified and the document is indexed on the selected class. The SCRS measure is measured according to the semantic relevancy of input document towards each document of any class. Similarly, the input query has been measured for Query Relational Semantic Score (QRSS) towards each class of documents. Based on the value of QRSS measure, the document class is identified, retrieved and ranked based on the QRSS measure to produce final population. In both the way, the semantic measures are estimated based on the concepts available in semantic ontology. The proposed method had risen efficient result in indexing as well as search efficiency also has been improved.

Development and Effects of Smart Personalized Assessment(SPA) System for Using of Diagnostic and Formative Assessment in Earth Science Classes (지구과학 수업에서 진단 및 형성평가 활용을 위한 스마트 맞춤 평가(SPA) 시스템의 개발 및 효과)

  • Son, Jun Ho;Kim, Jonghee
    • Journal of the Korean Society of Earth Science Education
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    • v.9 no.1
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    • pp.1-14
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    • 2016
  • The purpose of this study is to develop SPA system using diagnostic and formative assessment in earth science classes in order to discuss its effect on learning achievement and self-directed learning attitude. For this purpose, we developed total management system, app for teachers, and app for students. This research was practiced to 76 students in 5th grade. The results are as follows. Firstly, the group taking a class used by app for diagnostic and formative assessment had an effect of improving learning achievement. However, as for learning achievement long term endurance test, the group taking a class using app for diagnostic and formative assessment had no effect. Secondly, the group taking a class using apps for diagnostic and formative assessment had an effect of improving learners' self-directed learning attitude. As for self-directed long-term endurance test, the group taking a class using app for diagnostic and formative assessment had an effect. In conclusion, I hope that this SPA system might apply to the science classes as it is a system that will satisfy the needs of both teachers and students, giving much needed feedback to students.