• Title/Summary/Keyword: problems in arithmetic

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A Study on the Abrupt Scene Change Detection Using the Features of B frame in the MPEG Sequence (MPEG에서 B 프레임의 특징을 이용한 급진적 장면전환 검출에 관한 연구)

  • Kim Joong-Heon;Jang Jong-Whan
    • The KIPS Transactions:PartB
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    • v.12B no.5 s.101
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    • pp.617-630
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    • 2005
  • General scene change detection determines the changes of a scene by using feature comparison of two continuous images that are above the fixed threshold. But existing algerian detects scene change that was used in comparing the features of two images continuously, it usually takes a lot of time in decrypting the image data and false-detection problem occurs when there is an object motion or a change of illumination. In this paper, macroblock were used to extract the information directly from the MPEG compression area and suggests algorithm that will detect scene changes more effectively. Existing algorithm have shown numerous arithmetic problems that were improved in the proposed algorithm. The existing algorithm cannot detect the changes of a scene after analyzing the relationship of the previousand futureimages while the algorithm being proposed can detect the changes of a scene continuously and resolves the problem of false-detection. To this end, the data used in general were tested to prove that this algerian would be able to detect the scene changes faster and more correctly than the existing ones. The performance of the suggested algorithm was analyzed basedontheresultsoftheexperiment. .

Pedagogical Approach of the Nine Chapters on the Mathematical Art and Nam Byung Gil's GuJangSulHae (<구장산술九章算術>과 남병길의 <구장술해九章術解>의 교육적 활용 방안)

  • Jung, Hae-Nam
    • Education of Primary School Mathematics
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    • v.14 no.2
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    • pp.103-116
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    • 2011
  • 'The nine chapters on the mathematical art' has dominated the history of Chinese mathematics. It contains 246 problems and their solutions, which fall into nine categories that are firmly based on practical needs. But it has been greatly by improved by the commentary given Liu Hui and it was transformed from arithmetic text to mathematics. The improved book served as important textbook in China but also the East Asian countries for the past 2000 years. Also It is comparable in significance to Euclid's Elements in the West. In the middle of 19th century, Chosun mathematicians Nam Byung Gil(南秉吉) and Lee Sang Hyuk(李尙爀) studied mathematical structures developed in Song(宋) and Yuan(元) eras on top of their early on 'The nine chapters' and 'ShuLiJingYun(數理精蘊)'. Their studies gave rise to a momentum for a prominent development of Choson mathematics in the century. Nam Byung Gil is also commentator on 'The Nine Chapters'. His commentary is 'GuJangSulHae(九章術解)'. This book provides figures and explanations of how the algorithms work. These are very helpful for prospective elementary teachers. We try to plan programs of elementary teacher education on the basis of 'The Nine Chapters' and 'GuJangSulHae'.

Design of Efficient NTT-based Polynomial Multiplier (NTT 기반의 효율적인 다항식 곱셈기 설계)

  • Lee, SeungHo;Lee, DongChan;Kim, Yongmin
    • Journal of IKEEE
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    • v.25 no.1
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    • pp.88-94
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    • 2021
  • Public-key cryptographic algorithms such as RSA and ECC, which are currently in use, have used mathematical problems that would take a long time to calculate with current computers for encryption. But those algorithms can be easily broken by the Shor algorithm using the quantum computer. Lattice-based cryptography is proposed as new public-key encryption for the post-quantum era. This cryptographic algorithm is performed in the Polynomial Ring, and polynomial multiplication requires the most processing time. Therefore, a hardware model module is needed to calculate polynomial multiplication faster. Number Theoretic Transform, which called NTT, is the FFT performed in the finite field. The logic verification was performed using HDL, and the proposed design at the transistor level using Hspice was compared and analyzed to see how much improvement in delay time and power consumption was achieved. In the proposed design, the average delay was improved by 30% and the power consumption was reduced by more than 8%.

Modification of Unit-Segmenting Schemes for Division Problems Involving Fractional Quantities (단위분할 도식의 재구성을 통한 포함제 분수나눗셈 문제해결에 관한 연구)

  • Shin, Jae-Hong;Lee, Soo-Jin
    • School Mathematics
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    • v.14 no.2
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    • pp.191-212
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    • 2012
  • In the field of arithmetic in mathematics education, there has been lack of fine-grained investigations addressing the relationship between students' construction of division knowledge with fractional quantities and their whole number division knowledge. This study, through the analysis of part of collected data from a year-long teaching experiment, presents a possible constructive itinerary as to how a student could modify her unit-segmenting scheme to deal with various fraction measurement division situations: 1) unit-segmenting scheme with a remainder, 2) fractional unit-segmenting scheme. Thus, this study provides a clue for curing a fragmentary approach to teaching whole number division and fraction division and preventing students' fragmentary understanding of the same arithmetical operation in different number systems.

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Teaching Status and Knowledge of Elementary School Teachers of Children with Attention Deficit Hyperactivity Disorder (주의력결핍과잉행동장애 아동에 대한 초등교사의 지도실태와 지식)

  • Kang, Kyoung-Rim;Kim, Young-Hae;Yang, Young-Ok
    • Child Health Nursing Research
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    • v.17 no.2
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    • pp.136-144
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    • 2011
  • Purpose: The purpose of this study was to analyze teaching status and knowledge about children with Attention Deficit Hyperactivity Disorder (ADHD) in elementary school teachers. Methods: The participants of this study were 204 elementary school teachers in Busan. From July to September 2010, the researchers collected data by using self-report questionnaires consisted of questions about their teachers' characteristics and teaching status and KADDS (36 items) developed by Sciutto, Terjesen and Frank. Frequency, percentage, arithmetic mean, standard deviation, t-test and ANOVA were used to analyze the data using SPSS WIN 16.0 program. Results: Less than 50% of the participants had previous education on ADHD. According to this experience, there were significant differences in participants' knowledge about children with ADHD (t=4.703, p<.001). For the 36 items, participants had an average of $19.19{\pm}4.58$ points out of a possible 36. Moreover, lack of knowledge about teaching children with ADHD and communication problems with the parents of these children were considered to be the most disturbing factors. Conclusion: These results suggest that networks among teachers, parents and medical care professionals should be established. The results also indicate that educational programs for elementary school teachers should be developed in order to identify and teach children with ADHD appropriately.

An α-cut Automatic Set based on Fuzzy Binarization Using Fuzzy Logic (퍼지논리를 이용한 α-cut 자동 설정 기반 퍼지 이진화)

  • Lee, Ho Chang;Kim, Kwang Baek;Park, Hyun Jun;Cha, Eui-Young
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.19 no.12
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    • pp.2924-2932
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    • 2015
  • Image binarization is a process to divide the image into objects and backgrounds, widely applied to the fields of image analysis and its recognition. In the existing method of binarization, there is some uncertainty when there is insufficient brightness gap between objects and backgrounds in setting threshold. The method of fuzzy binarization has improved the features of objects efficiently. However, since this method sets ${\alpha}$-cut value statically, there remain some problems that important features of objects can be lost during binarization. Therefore, in this paper, we propose a binarization method which does not set ${\alpha}$-cut value statically. The proposed method uses fuzzy membership functions calculated by thresholds of mean, iterative, and Otsu binarization. Experiment results show the proposed method binaries various images with less loss than the existing methods.

Improved Real-Time Mean-Shift Face Tracking by Readjusting Detected Face Region Histogram (검출된 얼굴 영역 히스토그램 재조정을 통한 개선된 실시간 평균이동 얼굴 추적 방식)

  • Kim, Gui-sik;Lee, Jae-sung
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2013.10a
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    • pp.195-198
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    • 2013
  • Recognition and Tracking of interesting object is the significant field in Computer Vision. Mean-Shift algorithm have chronic problems that some errors are occurred when histogram of tracking area is similar to another area. in this paper, we propose to solve the problem. Each algorithm blocks skin color filtering, face detect and Mean-Shift started consecutive order assists better operation of the next algorithm. Avoid to operations of the overhead of tracking area similar to a histogram distribution areas overlap only consider the number of white pixels by running the Viola-Jones algorithm, simple arithmetic increases the convergence of the Mean-Shift. The experimental results, it comes to 78% or more of white pixels in the Mean-Shift search area, only if the recognition of the face area when it is configured to perform a Viola-Jones algorithm is tracking the object, was 100 percent successful.

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Lightweight Hardware Design of Elliptic Curve Diffie-Hellman Key Generator for IoT Devices (사물인터넷 기기를 위한 경량 Elliptic Curve Diffie-Hellman 키 생성기 하드웨어 설계)

  • Kanda, Guard;Ryoo, Kwangki
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2017.10a
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    • pp.581-583
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    • 2017
  • Elliptic curve cyptography is relatively a current cryptography based on point arithmetic on elliptic curves and the Elliptic Curve Discrete Logarithm Problem (ECDLP). This discrete logarithm problems enables perfect forward secrecy which helps to easily generate key and almost impossible to revert the generation which is a great feature for privacy and protection. In this paper, we provide a lightweight Elliptic Curve Diffie-Hellman (ECDH) Key exchange generator that creates a 163 bit long shared key that can be used in an Elliptic Curve Integrated Encryption Scheme (ECIES) as well as for key agreement. The algorithm uses a fast multiplication algorithm that is small in size and also implements the extended euclidean algorithm. This proposed architecture was designed using verilog HDL, synthesized with the vivado ISE 2016.3 and was implemented on the virtex-7 FPGA board.

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A pedagogical discussion based on the historical analysis of the the development of the prime concept (소수(prime) 개념 발전의 역사 분석에 따른 교수학적 논의)

  • Kang, Jeong Gi
    • Communications of Mathematical Education
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    • v.33 no.3
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    • pp.255-273
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    • 2019
  • In order to help students to understand the essence of prime concepts, this study looked at the history of prime concept development and analyzed how to introduce the concept of textbooks. In ancient Greece, primes were multiplicative atoms. At that time, the unit was not a number, but the development of decimal representations led to the integration of the unit into the number, which raised the issue of primality of 1. Based on the uniqueness of factorization into prime factor, 1 was excluded from the prime, and after that, the concept of prime of the atomic context and the irreducible concept of the divisor context are established. The history of the development of prime concepts clearly reveals that the fact that prime is the multiplicative atom is the essence of the concept. As a result of analyzing the textbooks, the textbook has problems of not introducing the concept essence by introducing the concept of prime into a shaped perspectives or using game, and the problem that the transition to analytic concept definition is radical after the introduction of the concept. Based on the results of the analysis, we have provided several pedagogical implications for helping to focus on a conceptual aspect of prime number.

A PRELIMINARY STUDY OF CHILDREN WITH LEARNING DISORDER IN KOREA (한국에서의 학습장애 아동에 대한 예비적 연구 - 종합병원 학습장애 특수 클리닉 내원 아동을 중심으로 -)

  • Kim, Seung-Tai;Kim, Ji-Hae;Hong, Sung-Do;Joung, Yoo-Sook
    • Journal of the Korean Academy of Child and Adolescent Psychiatry
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    • v.7 no.2
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    • pp.247-257
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    • 1996
  • This is a preliminary report on the first segment of a continuing and prospective teaming disorder study project in Korea. Study subjects were 197 children, aged between 6 and 15 referred for psychiatric evaluation of scholastic problems. Demographic data, psychiatric diagnoses and intelligence and achievement test results were reviewed and analyzed. Analyses of data lead to the following conclusions : (1) About 20.8% of children referred for scholastic problems were diagnosed of teaming disorder(LD). The most prevalent diagnosis among these children with scholastic problem was emotional disorder, especially depressive disorder(33%), (2) The comorbid rate of attention deficit/hyperactivity disorder(ADHD) of 41 children with LD was 44%, (3) Male/female ratio was 5.8:1 among all of the LD children, 17:1 among children with LD and ADHD and 3.6:l among children with LD but without ADHD, (4) 83% of children with LD scored above middle level on socioeconomic status(SES), (5) Age, SES, IQ, family psychiatric history, past history of medical and psychiatric illness, onset of age, pattern of peer relationship, number of friends, presence of adaptation problem and academic achievements of children with LD and ADHD compared to those of children with LD but without ADHD. No significant differences between two groups were found on age, SES, IQ, family psychiatric history, past history of medical and psychiatric illness, pattern of peer relationship, number of friends and presence of adaptation problem. However, there were significant differences in academic achievements of Korean language total, speaking and listening score, arithmetic score, social science score and music score of children with LD and ADHD compared to those of children with LD but without ADHD. Also there was an ealier onset of age in LD and ADHD group when compared to LD but without ADHD group.

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