• Title/Summary/Keyword: mathematical characters

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Procedural Animation Method for Realistic Behavior Control of Artificial Fish (절차적 애니메이션 방법을 이용한 인공물고기의 사실적 행동제어)

  • Kim, Chong Han;Youn, Jae Hong;Kim, Byung Ki
    • KIPS Transactions on Software and Data Engineering
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    • v.2 no.11
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    • pp.801-808
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    • 2013
  • In the virtual space with the interactive 3D contents, the degree of mental satisfaction is determined by how fully it reflect the real world. There are a few factors for getting the high completeness of virtual space. The first is the modeling technique with high-polygons and high-resolution textures which can heighten an visual effect. The second is the functionality. It is about how realistic represents dynamic actions between the virtual space and the user or the system. Although the studies on the techniques for animating and controlling the virtual characters have been continued, there are problems such that the long production time, the high cost, and the animation without expected behaviors. This paper suggest a method of behavior control of animation by designing the optimized skeleton which produces the movement of character and applying the procedural technique using physical law and mathematical analysis. The proposed method is free from the constraint on one-to-one correspondence rules, and reduce the production time by controlling the simple parameters, and to increase the degree of visual satisfaction.

Multicultural education shown in elementary school mathematics textbook based on 2015 revised curriculum (2015 개정 교육과정을 반영한 초등학교 1, 2학년 수학교과서에 나타난 다문화 교육)

  • Cho, SooYun
    • Education of Primary School Mathematics
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    • v.21 no.1
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    • pp.19-37
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    • 2018
  • The purpose of this study was to analyze the multicultural mathematics education factor shown in mathematics textbook. For this purpose, 2015 revised curriculum, mathematics textbook and teacher's guide book of first and second grade were analyzed using framework for multicultural mathematics education factor. The results of this study revealed that the general guideline of the national curriculum included 'culture identity', 'diversity of knowledge' and 'social problem solving' but the curriculum of mathematics excluded 'culture identity'. Nevertheless, mathematics textbook showed various multicultural mathematics education factor except 'social problem solving'. But there are several kinds of problem. Fist, application level of multicultural mathematics education factor was mostly low. Second, history of mathematics and culture aspects were Europocentric. Thirds, characters in mathematics text book were excessively standard. there weren't other ethnicity, the disabled, multicultural students. On the basis of these results, this paper includes several implications for the future multicultural mathematics education in elementary school.

A Study on Plastic Characteristics in Style of Greek Statue's Clothing - Concentrating on Drapery and Pleats - (그리스 조상(彫像)에 나타난 복식(服飾)의 조형성(造形性) 연구(硏究) - 드레퍼리와 주름을 중심(中心)으로 -)

  • Chun, Hei-Jung
    • Journal of Fashion Business
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    • v.6 no.1
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    • pp.102-115
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    • 2002
  • The purposes of this study are to comprehend the internal meaning and the external form in style of Greek statue's clothing in the light of linked solution, and to compare the characterizations of style of Greek statue's clothing with those in Greek Art. For these purpose, the theoretical studies about Greek art are preceded as a framework of this research, and then plastic characteristics of Greek statue's clothing and Greek art are analyzed by the documentary studies, For sources, photographs of Greek statue in Archaeological Museum and Louvre museum are used. The result is as follows. It is demonstrated that the characters of internal meaning in style of Greek art and Greek statue's clothing. The internal meaning of style of Greek art and Greek statue's clothing are as follows 1) Beauty of vital is subject that possessed life and movement and embodied dynamics or inherent power. 2) Beauty of moderation is subject that achieves some of its most impressive and practise a similar economy and restraint. 3) Beauty of character is subject that reveals the character of its wearer and has its own charm and distinction The Greeks clarified beauty by looking for mathematical proportions. It is the interrelation of part with one another, and with the whole, together with the additional element of good colour, which constitutes beauty as perceived by the eyes. The beauty in style of Greek statue's clothing consists of a sense of geometrical pattern, oder, symmetry, proportion, and rhythm.

Error Minimization of Angular Velocity using Encoders and Gyro (엔코더와 자이로를 이용한 각속도 오차 최소화)

  • Kim, Jung-Min;Do, Joo-Cheol;Kim, Sung-Shin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.6
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    • pp.814-819
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    • 2010
  • This paper is presented to study the error minimization of angular velocity for AGV(autonomous ground vehicle). The error minimization of angular velocity is related to localization technique which is the most important technique for autonomous vehicle. Accelerometer, yaw gyro and electronic compass have been used to measure angular velocity. And methods for error minimization of angular velocity have been actively studied through probabilistic methods and sensor fusion for AGVs. However, those sensors still occure accumulated error by mathematical error, system characters of each sensor, and computational cost are increased greatly when several sensor are used to correct accumulated error. Therefore, this paper studies about error minimization of angular velocity that just uses encoder and gyro. To experiment, we use autonomous vehicle which is made by ourselves. In experimental result, we verified that the localization error of proposed method has even less than the localization errors which we just used encoder and gyro respectively.

A Study on the Design Technique of Linear Actuator by using CAE System (전산응용설계 시스템을 이용한 리니어 액츄에이터의 설계기법 고찰)

  • 이권헌;조제황;조경재;오금곤;김영동
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.11 no.1
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    • pp.106-113
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    • 1997
  • In this paper, we introduce the design method using CAE(Computer Aided Engineering) which is profitable in the compatibility and standardization of the developed product and in the reduction of construction time and price to develop and design a machine equipment. Particularly, we select the standard model to design ot develop from the large machinery to the super precision one, extract the peculiar characters of the model by the close analysis of the physical and technical part, can predict the previous result of experimental characteristics on objective dimensions through the analogical mathematical analysis, and can induce the design model demanded by user investigating optimal data in advance. We present the analogical algorithms and process method of design factors and restriction factors in the systematization design with computer. Then we analyze step functions for each systematization equipment and induce the process of technical data with actuator model.

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A Study on primitive polynomial in stream cipher (스트림암호에서 원시다항식에 대한 고찰)

  • Yang, Jeong-mo
    • Convergence Security Journal
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    • v.18 no.4
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    • pp.27-33
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    • 2018
  • Stream cipher is an one-time-pad type encryption algorithm that encrypt plaintext using simple operation such as XOR with random stream of bits (or characters) as symmetric key and its security depends on the randomness of used stream. Therefore we can design more secure stream cipher algorithm by using mathematical analysis of the stream such as period, linear complexity, non-linearity, correlation-immunity, etc. The key stream in stream cipher is generated in linear feedback shift register(LFSR) having characteristic polynomial. The primitive polynomial is the characteristic polynomial which has the best security property. It is used widely not only in stream cipher but also in SEED, a block cipher using 8-degree primitive polynomial, and in Chor-Rivest(CR) cipher, a public-key cryptosystem using 24-degree primitive polynomial. In this paper we present the concept and various properties of primitive polynomials in Galois field and prove the theorem finding the number of irreducible polynomials and primitive polynomials over $F_p$ when p is larger than 2. This kind of research can be the foundation of finding primitive polynomials of higher security and developing new cipher algorithms using them.

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A Scheme of the Instruction of Prism Definition for 5th Grade Students (각기둥의 정의 만들기에 관한 지도 사례 연구 -초등학교 5학년을 대상으로-)

  • Cho, Young-Mi;Park, Ha-Na
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.2
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    • pp.317-332
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    • 2011
  • The purpose of this study is to suggest an effective plan for teaching the definition of prism by integrating and analyzing the theories related to the instruction of definitions. The subjects in this study to realize these objectives were as follows. First, it looks to theoretical backgrounds regarding the instruction of the definition of solid by functions of definition in mathematics education. Second, it explores the instructional way to form the definition of solid through function of definition, by analyzing the unit of solid in the 6th grade. Third, after conducting the real practice with the 5th graders who before learn solid in 6th curriculum, according to plan of instruction, it examined student's response and testify its effectiveness, and then propose a teaching scheme which is designed to be useful based on the outcomes. In terms of theoretical background, it investigated the precedent research in relation to the instruction of the definition that mathematical definition is not given perfectly but the process of making knowledge that mathematization activity is necessary. It investigated the effects of the instruction of definitions, based on the effects of teaching and interviews with the 5th graders, and analysis of student's handout. The followings were the results of this study. First, 'Making Definitions' activities through remove counterexample process was possible to analytic thinking not intuitively thinking, and it effects the extend of awareness in definition that definition is not fixed but various. Second, it need the step of organize terms that is useful on solid's definition through activate of background knowledge. Third, it is effective that explore characters of the solids after construct the solids. Fourth, interactive discussion that students correct their mistakes each other through mathematical communication and they can think developmental is useful on making definition more than individual study.

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A Study on the Development of Person-Based Class Materials in Subject (<수학과제 탐구> 과목의 인물 중심 수업 자료 개발 관련 연구)

  • Lee, Dong Gun
    • Communications of Mathematical Education
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    • v.35 no.4
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    • pp.475-504
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    • 2021
  • This study is a study that developed class materials that can be applied directly to classes by field teachers in consideration of ' research on the development is valuable as a field support study.', 'In material development, organizing data centering on the knowledge composition and inquiry activities of characters related to the mathematics concept can help develop class materials', and 'The fact that the development of subject data for has been insufficient'. To this end, this study went through the procedure of 'establishing a data development plan, data development, verifying field teachers on development data, verifying subject experts on development data, and developing final data reflecting verification opinions.' Therefore, based on the 1st 50 minutes reflecting the task exploration model, it was possible to develop class materials for the 3rd time. In this study, development data were presented with a 17-week curriculum plan, a class guidance plan that presents teacher-student interaction, and a task development form that students fill out and submit in class. This study was developed with the developed data in mind to be applied to actual classes. Therefore, a follow-up study is needed to apply the developed data to actual classes and analyze the results.

On a Representation of an Arbitrary Point on a Figure Focused on a Translated Figure (도형 위의 임의의 점의 표현에 대한 연구 -평행이동 된 도형을 중심으로-)

  • Lee, Min Jung
    • Communications of Mathematical Education
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    • v.33 no.2
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    • pp.105-122
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    • 2019
  • In Korean textbooks, by T(x,y) = (x+a, y+b) where a and b are horizontal and vertical changes respectively, an arbitrary point on the original figure f(x, y) = 0 has been expressed as a point (x, y) and a point on a translated figure f(x-a, y-b) = 0 has been expressed as a point (x', y'). If an arbitrary point on a figure f(x, y) = 0 is expressed as a point (x, y), then a point (x, y) and a figure f(x, y) = 0 are different targets but the same characters are used. In this following study, there were found that the expressions in these textbooks were stuck for more than 50 years, so students' thoughts were stiff. And therefore these are a need to be improved so that those things are studied as follows. First, inducing a formula, what are the students' responses like when were expressed differently from textbooks? Second, based on the results reviewed, how will the expressions of the textbook be revised? Third, how do the students respond to the modified expressions? As the result, a point on the original figure were expressed differently from textbooks and a point on a translated figure was put as a point (x, y), and about it, all of the students surveyed said that this improved expressions made in the study were easier.

An Algorithm for Segmenting the License Plate Region of a Vehicle Using a Color Model (차량번호판 색상모델에 의한 번호판 영역분할 알고리즘)

  • Jun Young-Min;Cha Jeong-Hee
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.43 no.2 s.308
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    • pp.21-32
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    • 2006
  • The license plate recognition (LPR) unit consists of the following core components: plate region segmentation, individual character extraction, and character recognition. Out of the above three components, accuracy in the performance of plate region segmentation determines the overall recognition rate of the LPR unit. This paper proposes an algorithm for segmenting the license plate region on the front or rear of a vehicle in a fast and accurate manner. In the case of the proposed algorithm images are captured on the spot where unmanned monitoring of illegal parking and stowage is performed with a variety of roadway environments taken into account. As a means of enhancing the segmentation performance of the on-the-spot-captured images of license plate regions, the proposed algorithm uses a mathematical model for license plate colors to convert color images into digital data. In addition, this algorithm uses Gaussian smoothing and double threshold to eliminate image noises, one-pass boundary tracing to do region labeling, and MBR to determine license plate region candidates and extract individual characters from the determined license plate region candidates, thereby segmenting the license plate region on the front or rear of a vehicle through a verification process. This study contributed to addressing the inability of conventional techniques to segment the license plate region on the front or rear of a vehicle where the frame of the license plate is damaged, through processing images in a real-time manner, thereby allowing for the practical application of the proposed algorithm.