• Journal of applied mathematics & informatics
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• v.31 no.1_2
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• pp.79-86
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• 2013

Taxicab plane geometry and Cinese-Checker plane geometry are non-Euclidean and more practical notion than Euclidean geometry in the real world. The ${\alpha}$-distance is a generalization of the Taxicab distance and Chinese-Checker distance. It was first introduced by Songlin Tian in 2005, and generalized to n-dimensional space by Ozcan Gelisgen in 2006. In this paper, we studied the isoperimetric inequality in ${\alpha}$-plane.

• Journal for History of Mathematics
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• v.31 no.1
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• pp.37-51
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• 2018

In this paper, our main concern is the historical development of the Finsler geometry in Debrecen, Hungary initiated by L. Berwald. First we look into the research trend in Berwald's days affected by the $G{\ddot{o}}ttingen$ mathematicians from C. Gauss and downward. Then we study how he was motivated to concentrate on the then completely new research area, Finsler geometry. Finally we examine the course of establishing Hungarian Debrecen school of Finsler geometry via the scholars including O. Varga, A. $Rapcs{\acute{a}}k$, L. $Tam{\acute{a}}ssy$ all deeply affected by Berwald after his settlement in Debrecen, Hungary.

• Journal of the Korean Society for Precision Engineering
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• v.19 no.4
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• pp.132-139
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• 2002

In GMAW(Gas Metal Arc Welding) processes, bead geometry (penetration, bead width and height) is a criterion to estimate welding quality. Bead geometry is affected by welding current, arc voltage and travel speed, shielding gas, CTWD (contact-tip to workpiece distance) and so on. In this paper, welding process variables were selected as welding current, arc voltage and travel speed. And bead geometry was reasoned from the chosen welding process variables using neuro-fuzzy algorithm. Neural networks was applied to design FL(fuzzy logic). The parameters of input membership functions and those of consequence functions in FL were tuned through the method of learning by backpropagation algorithm. Bead geometry could be reasoned from welding current, arc voltage, travel speed on FL using the results learned by neural networks. On the developed inference system of bead geometry using neuro-furzy algorithm, the inference error percent of bead width was within $\pm$4%, that of bead height was within $\pm$3%, and that of penetration was within $\pm$8%. Neural networks came into effect to find the parameters of input membership functions and those of consequence in FL. Therefore the inference system of welding quality expects to be developed through proposed algorithm.

• Research in Mathematical Education
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• v.25 no.3
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• pp.189-199
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• 2022

A debate about the importance of geometry courses has existed for years. The questions have revolved around its significance to students and teachers alike. This study looks to determine whether a teacher taking a college-level geometry course has a positive relationship with their students' algebraic reasoning skills. Using data from the High School Longitudinal Study 2009 (HSLS09: Ingels et al., 2011, 2014), it was determined that 9th-grade teachers who took a college-level geometry course had a significant positive association with their students' 11th-grade algebraic reasoning scores. This study suggests that teachers who take geometry during college have a lasting effect on their students. The implications of these findings and how they may affect higher education are discussed.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.16 no.6
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• pp.2044-2059
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• 2022

Recent works have shown that the geometric constraint can be harnessed to boost the performance of CNN-based camera localization. However, the existing strategies are limited to imposing image-level constraint between pose pairs, which is weak and coarse-gained. In this paper, we introduce a pixel-level epipolar geometry constraint to vanilla localization framework without the ground-truth 3D information. Dubbed EpiLoc, our method establishes the geometric relationship between pixels in different images by utilizing the epipolar geometry thus forcing the network to regress more accurate poses. We also propose a variant called EpiSingle to cope with non-sequential training images, which can construct the epipolar geometry constraint based on a single image in a self-supervised manner. Extensive experiments on the public indoor 7Scenes and outdoor RobotCar datasets show that the proposed pixel-level constraint is valuable, and helps our EpiLoc achieve state-of-the-art results in the end-to-end camera localization task.

• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.459-479
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• 2006

The purpose of this study is to investigate the applicability of DGS(dynamic geometry software) for the assessment of reasoning ability and the influence of DGS on the process of assessing students' reasoning ability in middle school geometry. We developed items for assessing students' reasoning ability by using DGS in the connected form of 'construction - inductive reasoning - deductive reasoning'. And then, a case study was carried out with 5 students. We analyzed the results from 3 perspectives, that is, the assessment of students' construction ability, inductive reasoning ability, and justification types. Items can help students more precisely display reasoning ability Moreover, using of DGS will help teachers easily construct the assessment items of inductive reasoning, and widen range of constructing items.

• Journal of the Korean School Mathematics Society
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• v.6 no.1
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• pp.87-100
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• 2003

In this paper we have studied the efficiency of GSP which is widely used in the school. In order to study the efficiency of the computer aided education we divided the students into two groups in the Namwon Middle School : One group called "A" is the classes using GSP, the other called "B" is the classes not using GSP. In the three times examination group A got good marks better than group B. In the questionnaires about the interest in geometry group A is higher than group B. By the results of this study the effort on education with using various multi media can come into the utmost educational effect. Therefore it is necessary for the teachers at school to have self training continuously in order to carry a higher educational quality.

• Journal for History of Mathematics
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• v.26 no.1
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• pp.33-56
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• 2013

This is a literature study about the concept of 'Division into Equal Parts' in middle school geometry. First, we notice that the concept of the division into equal parts in middle school geometry is given in four themes, which are those of line segments, angles, arches and areas. Second, we investigate and analyse the historical backgrounds of these four kinds of divisions into equal parts. Third, the possibility of extension in terms of method and concept was researched. Through the result of this study, we suggest that it is desirable to use effective utility of history in mathematical teaching and learning in middle school.

• Journal of the Korean Society of Costume
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• v.62 no.7
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• pp.67-78
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• 2012

This study considered and analyzed the influence of changed clothing silhouettes on the textile patterns by investigating the changes of geometry patterns in response to the changes of western women's apparel silhouette in the 1960s. The period scope of research was limited to the 1960s, and the research object was set as the geometry patterns seen in the designer's high-fashion. The researcher investigated the clothing silhouette and the textile patterns in 1960s by reviewing the literature about domestic and foreign books, research papers, domestic and foreign fashion magazines, information on the Internet. For the western women's apparel in 1960s, some active, simple styles were popular under the social atmosphere when more women actively entered the society. Influenced by popular art trends at that time, the silhouette was expressed in the geometry pattern among many textile patterns. The geometry pattern either appeared as a regularly overall repeating geometry pattern and the regularly partial repeating geometry pattern. The regularly overall repeating geometry pattern arranged the straight lines in the same interval. But the regularly partial repeating geometry pattern was arranged without order to emphasize the motif in some parts of clothing or to give some ornament effect, or was arranged asymmetrically.

• Journal of the Korean School Mathematics Society
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• v.11 no.3
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• pp.337-362
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• 2008

Nowadays the education of Mathematics is more important than any other courses in the school. But the most students have felt the difficulty and uncomfortableness in studying Mathematics, especially the geometry course. Moreover teachers also consider that the teaching of geometry is the hardest part of Mathematics. Therefore we suggest an effective method of teaching the geometry course for the middle school students. We provide the activity papers which contain mathematics problems based on the practical life of students. And we analyze the effects of the activity papers using the questionnaire.