• Title/Summary/Keyword: representation numbers

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The Spatial Representation in Family Narrative - Focused on Hirokazu Kore-eda's Films - (가족 서사와 공간 재현 - 고레에다 히로카즈 영화를 중심으로 -)

  • Mun, Jung-Mi
    • Journal of Korea Entertainment Industry Association
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    • v.13 no.7
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    • pp.193-203
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    • 2019
  • Family films with insight of the society are now recognized as significant texts to communicate with audience from the beginning of the history of film and to reflect various viewpoints on changes of the times and socio-cultural context. In such aspect, the films of Hirokazu Kore-eda are very significant in that they suggest very sharp view on modern society through family narrative. His family narratives not only presented a profound reflection on the modern society and human relations through themes on death, loss, severance, and alienation, but also formed a public sympathy based on success in the box-office numbers despite his heavy subjects. His such achievement is closely related to the format of spatial representation to record 'time' and 'daily life' as well as the family film as a narrative form to draw the meaning of a family. Therefore, this study analyzes the family narrative and the format of spatial representation in the films of Hirokazu Kore-eda, and could find the film form where life and space closely communicate each other to reach the topic. This study, concentrating on the spatial representation and the roles and meanings of formal factors in family narrative, can find its own value in its expansion out of the previous studies which adopted macro perspectives on the trend of the times.

A Comparative Analysis of the Instructional Methods of Mixed Calculation of Natural Numbers in the Korean, Singaporean, and Japanese Textbooks (한국, 싱가포르, 일본 교과서에 제시된 자연수의 혼합 계산에 대한 지도 방안의 비교 분석)

  • Kim, SukJin;Yoon, HyeRin;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.21 no.3
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    • pp.289-307
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    • 2018
  • Although mixed calculation of natural numbers is important in that it completes arithmetic calculation of natural numbers in elementary school, few studies have been conducted regarding its instruction methods. Given this, this study analyzed Korean mathematics textbooks (from the fifth textbooks to the 2009 revised textbooks) along with Japanese and Singaporean textbooks in terms of the parentheses and the order of operations regarding mixed calculation of natural numbers. The results of this study showed that there were differences in introducing the parentheses and representing them in an explicit way per textbooks. In the Korean textbooks, the order of operations was presented mostly with the real-life contexts but it was not always in a diagrammatic representation. In contrast, in the Singaporean textbooks, the order of operations was presented without the real-life contexts and the use of calculators was emphasized. In the Japanese textbooks, the order of operations was presented with the real-life contexts and a hierarchy of operations was emphasized. Based on these results, this study suggested several implications of textbook development and instructional methods regarding mixed calculations of natural numbers.

Analysis of Word Problems in the Domain of 'Numbers and Operations' of Textbooks from the Perspective of 'Nominalization' (명사화의 관점에서 수와 연산 영역의 교과서 문장제 분석)

  • Chang, Hyewon;Kang, Yunji
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.395-410
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    • 2022
  • Nominalization is one of the grammatical metaphors, and it is the representation of verbal meaning through noun equivalent phrases. In mathematical word problems, texts using nominalization have both the advantage of clarifying the object to be noted in the mathematization stage, and the disadvantage of complicating sentence structure, making it difficult to understand the sentences and hindering the experience of the full steps in mathematical modelling. The purpose of this study is to analyze word problems in the textbooks from the perspective of nominalization, a linguistic element, and to derive implications in relation to students' difficulties during solving the word problems. To this end, the types of nominalization of 341 word problems from the content domain of 'Numbers and Operations' of elementary math textbooks according to the 2015 revised national curriculum were analyzed in four aspects: grade-band group, main class and unit assessment, specialized class, and mathematical expression required word problems. Based on the analysis results, didactical implications related to the linguistic expression of the mathematical word problems were derived.

Words for Numbers and Transcoding Processes Reflected by ERPs during Mental Arithmetic (수 연산과정에서 ERP로 확인된 숫자어휘와 부호변환 과정)

  • Kim, Choong-Myung;Kim, Dong-Hwee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.2
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    • pp.689-695
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    • 2010
  • The effect of the code conversion process of Korean script (Hangul), also known as words for numbers, was investigated using event-related potentials (ERPs) during mental arithmetic operations. Study subjects were asked to determine whether the arithmetic results of a given target stimuli were correctly matched. Visual inspection and statistics of mean ERPs showed stimulus type-dependent processing rather than task-dependent processing. Results of addition and multiplication tasks revealed that the overall temporal profiles of the Arabic numerals were similar to the Hangul words for numbers. The only exception to this observation was a delayed positive-slope peak occurring around 300 ms, which was likely related to the encoding process of Hangul words for numbers to Arabic-digits, defined as a 'transcoding-related potential.' Source analysis confirmed that the topography of different waveforms for the two conditions was attributed to a single dipole located in the left temporo-parietal area; this area is known to be involved in Hangul words for number processing. These results suggest that the initial processing for encoding words for numbers was followed by arithmetic operations without direct access of internal number representation. Korea Academia-Industrial cooperation Society. The Korea Academia-Industrial cooperation Society. The Korea Academia-Industrial cooperation Society. The Korea Academia-Industrial cooperation Society.

ONE-PARAMETER GROUPS OF BOEHMIANS

  • Nemzer, Dennis
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.419-428
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    • 2007
  • The space of periodic Boehmians with $\Delta$-convergence is a complete topological algebra which is not locally convex. A family of Boehmians $\{T_\lambda\}$ such that $T_0$ is the identity and $T_{\lambda_1+\lambda_2}=T_\lambda_1*T_\lambda_2$ for all real numbers $\lambda_1$ and $\lambda_2$ is called a one-parameter group of Boehmians. We show that if $\{T_\lambda\}$ is strongly continuous at zero, then $\{T_\lambda\}$ has an exponential representation. We also obtain some results concerning the infinitesimal generator for $\{T_\lambda\}$.

REMARKS OF CONGRUENT ARITHMETIC SUMS OF THETA FUNCTIONS DERIVED FROM DIVISOR FUNCTIONS

  • Kim, Aeran;Kim, Daeyeoul;Ikikardes, Nazli Yildiz
    • Honam Mathematical Journal
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    • v.35 no.3
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    • pp.351-372
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    • 2013
  • In this paper, we study a distinction the two generating functions : ${\varphi}^k(q)=\sum_{n=0}^{\infty}r_k(n)q^n$ and ${\varphi}^{*,k}(q)={\varphi}^k(q)-{\varphi}^k(q^2)$ ($k$ = 2, 4, 6, 8, 10, 12, 16), where $r_k(n)$ is the number of representations of $n$ as the sum of $k$ squares. We also obtain some congruences of representation numbers and divisor function.

Decision-Theoretic Approach to Source Direction Finding in Array Sensor Systems

  • Cheung, Wan-Sup
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1993.06a
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    • pp.201-205
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    • 1993
  • A decision-theoretic concept is introduced to investigate whether targets of interest in array sensor systems are present at some steering direction or not. The solutions to this problem are described as a set of simple numbers 0 or 1 corresponding to the direction under consideration. This coded number representation is transplanted in the optimisation technique based on the Hopfield neural network, which may provide a new aspect of determining the direction of arrival (DOA) of sources. To cast the perspectives of the proposed approach and illustrate its effectiveness in source direction finding in array sensor systems, simulation results and related discussions are presented in this paper.

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Design of a PID type Fuzzy Controller

  • Jibril Jiya;Cheng Shao;Chai, Tian-You
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.189-193
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    • 1998
  • A PID type fuzzy Controller is proposed based on a crisp type model in which the consequent parts of the fuzzy control rules are functional representation or real numbers. Using the conventional PID control theory, a new PID type fuzzy controller is developed, which retains the characteristics of the conventional PID controller. An advantage of this approach, is that it simplifies the complicated defuzzification algorithm which could be time consuming. Computer simulation results have shown that the proposed PID fuzzy controller has satisfactory tracking performance.

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Effective Fragile Watermarking for Image Authentication with High-quality Recovery Capability

  • Qin, Chuan;Chang, Chin-Chen;Hsu, Tai-Jung
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.7 no.11
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    • pp.2941-2956
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    • 2013
  • In this paper, we propose an effective fragile image watermarking scheme for tampering detection and content recovery. Cover image is divided into a series of non-overlapping blocks and a block mapping relationship is constructed by the secret key. Several DCT coefficients with direct current and lower frequencies of the MSBs for each block are used to generate the reference bits, and different coefficients are assigned with different bit numbers for representation according to their importance. To enhance recovery performance, authentication bits are generated by the MSBs and the reference bits, respectively. After LSB substitution hiding, the embedded watermark bits in each block consist of the information of itself and its mapping blocks. On the receiver side, all blocks with tampered MSBs can be detected and recovered using the valid extracted reference bits. Experimental results demonstrate the effectiveness of the proposed scheme.

An Interval-based Temporal Reasoning Scheme (기간변수(期間變數)에 의거한 시간추출방식)

  • Yoon, Wan-Chul
    • Journal of Korean Institute of Industrial Engineers
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    • v.16 no.2
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    • pp.63-70
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    • 1990
  • This paper presents a new temporal reasoning scheme based on explicit expression of time intervals. The proposed scheme deals with the general problem of temporal knowledge representation and temporal reasoning and may be used in rule-based systems and qualitative models. Time intervals, not time points, are defined in terms of orders and/or numbers in a quantity space. As a result, the system behavior is represented in the form of partially ordered networks. Such explicit and qualitative description of temporal quantities enables both reduction of ambiguity and parsimonious used of temporal information. Based on the proposed temporal reasoning scheme, a new rule-based qualitative simulation system is being built and evaluated.

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