• Title/Summary/Keyword: mathematical patterns

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Size, Scale and Rotation Invariant Proposed Feature vectors for Trademark Recognition

  • Faisal zafa, Muhammad;Mohamad, Dzulkifli
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.1420-1423
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    • 2002
  • The classification and recognition of two-dimensional trademark patterns independently of their position, orientation, size and scale by proposing two feature vectors has been discussed. The paper presents experimentation on two feature vectors showing size- invariance and scale-invariance respectively. Both feature vectors are equally invariant to rotation as well. The feature extraction is based on local as well as global statistics of the image. These feature vectors have appealing mathematical simplicity and are versatile. The results so far have shown the best performance of the developed system based on these unique sets of feature. The goal has been achieved by segmenting the image using connected-component (nearest neighbours) algorithm. Second part of this work considers the possibility of using back propagation neural networks (BPN) for the learning and matching tasks, by simply feeding the feature vectosr. The effectiveness of the proposed feature vectors is tested with various trademarks, not used in learning phase.

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A Study on the Characteristics of Types of Activity Diagrams for Experimental Residential Design (실험주거 행위 다이어그램의 유형별 특성에 관한 연구)

  • Kim Jong-Jin
    • Korean Institute of Interior Design Journal
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    • v.14 no.3 s.50
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    • pp.28-35
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    • 2005
  • This study is focused on the characteristics of organization types of activity diagrams for experimental residential design. Diagrams became one of the crucial design methods to rationally generate a definite spatial form that contains indefinite human activities In contemporary architecture. Particularly in residential design, activity diagrams based on the occupants' behavioral patterns have been critically important. 'Scientific Management in the Home' by mathematical calculation and the Archigram's 'Living 1990' equipped with innovative technologies are the representative examples in modern architecture. The study is focused on the experimental residential projects since 2000 and three main types of activity organization were discovered: 'Weaving through Circulation';'Flexible Space by Equipment' and 'Activity Selection by Open-Close System'. Two projects from each type are analyzed in detail to further develop the comparison study. The study is concluded that, although the architect's preconceived . philosophical background has an important role, activity organization should smoothly derive from the unique conditions of the project such as the characteristic of the occupant itself.

Mathematical Evaluation of Response Behaviors of Indicator Organisms to Toxic Materials (지표생물의 독성물질 반응 행동에 대한 수리적 평가)

  • Chon, Tae-Soo;Ji, Chang-Woo
    • Environmental Analysis Health and Toxicology
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    • v.23 no.4
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    • pp.231-245
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    • 2008
  • Various methods for detecting changes in response behaviors of indicator specimens are presented for monitoring effects of toxic treatments. The movement patterns of individuals are quantitatively characterized by statistical (i.e., ANOVA, multivariate analysis) and computational (i.e., fractal dimension, Fourier transform) methods. Extraction of information in complex behavioral data is further illustrated by techniques in ecological informatics. Multi-Layer Perceptron and Self-Organizing Map are applied for detection and patterning of response behaviors of indicator specimens. The recent techniques of Wavelet analysis and line detection by Recurrent Self-Organizing Map are additionally discussed as an efficient tool for checking time-series movement data. Behavioral monitoring could be established as new methodology in integrative ecological assessment, tilling the gap between large-scale (e.g., community structure) and small-scale (e.g., molecular response) measurements.

Design of a machine learning based mobile application with GPS, mobile sensors, public GIS: real time prediction on personal daily routes

  • Shin, Hyunkyung
    • International journal of advanced smart convergence
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    • v.7 no.4
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    • pp.27-39
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    • 2018
  • Since the global positioning system (GPS) has been included in mobile devices (e.g., for car navigation, in smartphones, and in smart watches), the impact of personal GPS log data on daily life has been unprecedented. For example, such log data have been used to solve public problems, such as mass transit traffic patterns, finding optimum travelers' routes, and determining prospective business zones. However, a real-time analysis technique for GPS log data has been unattainable due to theoretical limitations. We introduced a machine learning model in order to resolve the limitation. In this paper presents a new, three-stage real-time prediction model for a person's daily route activity. In the first stage, a machine learning-based clustering algorithm is adopted for place detection. The training data set was a personal GPS tracking history. In the second stage, prediction of a new person's transient mode is studied. In the third stage, to represent the person's activity on those daily routes, inference rules are applied.

Three-Dimensional Measurements of the Specular Components by Using Direct Phase-Measuring Transmission Deflectometry

  • Na, Silin;Shin, Sanghoon;Kim, Doocheol;Yu, Younghun
    • New Physics: Sae Mulli
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    • v.68 no.11
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    • pp.1275-1280
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    • 2018
  • We demonstrated transmission direct phase-measuring deflectometry (DPMD) with a specular phase object having discontinuous surfaces by using two displays and a two-dimensional array detector for display and by recording the distorted fringe patterns. Three-dimensional (3D) information was obtained by calculating the height map directly from the phase information. We developed a mathematical model of the phase-height relationship in transmission DPMD. Unlike normal transmission deflectometry, this method supports height measurement directly from the phase. Compared with other 3D measurement techniques such as interferometry, this method has the advantages of being inexpensive and easy to implement.

Analysis Transportation Network Using Traditional Four-step Transportation Modeling : A Case Study of Mandalay City, Myanmar (전통적인 4단계 교통수요 예측 모형을 활용한 교통망 분석 - 미얀마 만달레이시 중심으로)

  • Yoon, Byoung-Jo;WUT YEE LWIN;Lee, Sun-min
    • Proceedings of the Korean Society of Disaster Information Conference
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    • 2023.11a
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    • pp.259-260
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    • 2023
  • The rapid urbanization and modernization observed in countries like Myanmar have led to significant concerns regarding traffic congestion, especially in urban areas. This study focuses on the analysis and revitalization of urban transport in selected areas of Myanmar. The core of urban transportation planning lies in travel forecasting, which employs models to predict future traffic patterns and guide decisions related to road capacity, transit services, and land use policies. Travel demand modeling involves a series of mathematical models that simulate traveler behavior and decision-making within a transportation system, including highways, transit options, and policies. The paper offers an overview of the traditional four-step transportation modeling system, utilizing a simplified transport network in the context of Mandalay City, Myanmar.

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A Longitudinal Analysis of the Influence of Teachers' Achievement Pressure and Enthusiasm Perceived by Students on Academic Achievement in Mathematics: For Elementary and Middle School Students (학생들이 인지하는 교사의 성취압력과 열의가 수학 학업성취도에 미치는 영향력에 대한 종단적 분석: 초·중학생들을 대상으로)

  • Kim, YongSeok
    • Education of Primary School Mathematics
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    • v.24 no.3
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    • pp.135-156
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    • 2021
  • Achievement pressure and enthusiasm affecting mathematics academic achievement are constantly changing and affecting academic achievement. Therefore, a longitudinal study is needed to examine the influence of the change patterns of teachers' achievement pressure and enthusiasm on the change patterns of academic achievement. This study utilized student data from the 5th grade of elementary school (2013 year) to the third grade of middle school (2017 year) of the Korean Education Longitudinal Study 2013. The longitudinal change patterns of mathematics academic achievement were classified into similar subgroups and the influence of the longitudinal change patterns of the achievement pressure and enthusiasm of each group on the longitudinal change pattern of mathematics academic achievement and the path were compared and analyzed. As a result of the analysis, in all four subgroups with similar longitudinal changes in mathematics academic achievement, the teacher's achievement pressure showed little change from the fifth grade, while the teacher's enthusiasm continued to decline from the fifth grade. In addition, the influence of teachers' achievement pressure and enthusiasm perceived by students in each group on mathematics academic achievement was different. This suggests that in order to improve mathematics academic achievement, it is necessary to support teaching and learning reflecting the characteristics and dispositions of students.

Mathematical Modeling and Analysis for Water_Tree of Underground Cables (지중 케이블의 수트리에 대한 수학적 모델링 및 분석)

  • Lee, Jung-Woo;Oh, Yong-Taek
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.5
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    • pp.516-522
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    • 2020
  • Water trees can cause considerable damage to the performance of underground cables. Theymay formwithin the dielectric used in buried or water-immersed high voltage cables. They grow in a bush-like or tree-like form, often taking decades before causing damage to a cable's performance. They are usually found on very old underground cables, often in an inaccessible place. It is costly and time-consuming to detect watertrees in underground cables. Tree detection technology, including mathematical modeling,can reduce the maintenance cost and time necessary for detecting these trees.To simulate detection of water trees in this study, a mathematical model ofan XLPE cable and a water tree were developed. The complex water tree structure was simplified, based on two identified patterns of aventedtree. A Matlab simulation was performed to calculate and analyze the capacitance and resistance of a cable insulation layer,based on growth of a watertree. Capacitance size increased about 0.025×10-13[Farads/mm] compared to normal when the tree area of the cable was advanced to 95% of the insulation layer. The resistance value decreased by about 0.5×1016[ohm/m]. These changesand changesshowninaBurkes paper physical modeling simulation are similar.The value of mathematical modeling for detecting water trees and damage to underground cables has been demonstrated.

An analysis of the use of technology tools in high school mathematics textbooks based (고등학교 수학 교과서의 공학 도구 활용 현황 분석)

  • Oh, Se Jun
    • Communications of Mathematical Education
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    • v.38 no.2
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    • pp.263-286
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    • 2024
  • With the introduction of AI digital textbooks, interest in the use of technology tools in mathematics education is increasing. Technology tools have the advantage of visualizing mathematical concepts and discovering mathematical principles through experimentation and inquiry. The 2015 revised mathematics curriculum in Korea already mentions the use of technology tools, and accordingly, various teaching and learning activities using technology tools are presented in mathematics textbooks. However, there is still a lack of systematic analysis on the types and utilization methods of technology tools presented in textbooks. Therefore, this study analyzed the current status of the use of technology tools presented in high school mathematics textbooks based on the 2015 revised curriculum. To this end, the types of technology tools presented in mathematics textbooks were categorized, and the utilization ratio of each category was investigated. In addition, the utilization patterns of technology tools were analyzed by subject and content area, and the utilization ratio of technology tools according to the type of teaching and learning activities was examined. The results showed that technology tools were used in various types and ratios according to the subject and content area. In particular, technology tools in the symbol-manipulation graphing software category accounted for 58% of the total usage cases, showing the highest proportion. By subject, the use of symbol-manipulation graphing software was prominent in subjects dealing with the analysis area, while the use of dynamic geometry software was relatively high in the geometry area. In terms of teaching and learning activity types, the utilization ratio of auxiliary tool type (49%) and intended inquiry induction type (37%) was high. The results of this study show that technology tools play various roles in mathematics textbooks and provide useful implications for improving mathematics teaching and learning methods using technology tools in the future. Furthermore, it can contribute to the establishment of educational policies related to AI digital textbooks and the development of teacher training programs.

Interaction patterns between teachers-students and teacher's discourse structures in mathematization processes (수학화 과정에서 교사와 학생 간의 상호작용 양상과 교사의 담론 구조)

  • Choi, Sang-Ho
    • The Mathematical Education
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    • v.59 no.1
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    • pp.17-29
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    • 2020
  • The purpose of this study is to analyze the teacher's discourse structure of teachers according to the interaction pattern between teacher and student in the process of mathematization. To achieve this goal, we observed a semester class (44 lessons) of an experienced teacher who had practiced teaching methods for promoting student engagement for more than 20 years. Among them, one lesson case would be match the teacher's intention and the student's response and the other one lesson case would be to mismatch between the teacher's intention and the student's response was analyzed. In other words, in the process of mathematization based on students' engagement, the intention of the teacher and the reaction of the student was determined according to the cases where students did not make an error and when they made an error. A methodology used to develop a theory based on data collected through classroom observations(grounded theory). Because the purpose of the study is to identify the teacher's discourse structure to help students' mathematization, observe the teacher's discourse and collect data based on student engagement. Based on the teacher's discourse, conceptualize it as a discourse structure for students to mathematization. As a result, teacher's discourse structure had contributed to the intention of the teacher and the reaction of the student in the process of mathematization. Based on these results, we can help the development of classroom discourse for mathematization by specifying the role of the teacher to help students experience the mathematization process in the future.