• Title/Summary/Keyword: additive strategy

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Characteristics of Students' Problem Solving Using Additive Strategy in Ratio and Proportion Tasks (비와 비례 과제에서 가법적 전략을 사용하는 학생의 문제해결특징 : 중학생 2명의 사례 연구)

  • Park, Jung-Sook
    • School Mathematics
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    • v.10 no.4
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    • pp.603-623
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    • 2008
  • The purpose of this research was to gain a better understanding of the characteristics of students' mathematical representations using additive strategy in ratio and proportion tasks. The additive strategy is the erroneous one used most often among the strategies reported in solving ratio and proportion tasks. It is a problem solving strategy that preserves the difference from one ratio to another. Students' additive strategies were categorized into four parts: subtracting without considering units of quantities, comparing the numbers that represent the whole subtracted from the part and same part, adding the difference, and subtracting the difference. In order to change from additive strategy to multiplicative strategy, the researcher asked to find out the unit quantity and found the characteristics of students' mathematical notations in the following: Firstly, the students made the number which they wanted by multiplying and adding same numbers. Secondly, they represented the mid-points between natural numbers. Thirdly, they related $a{\div}b$ to decimal number, not $\frac{a}{b}$. Fourthly, they were inclined to divide the larger number with the smaller number without understanding the context of the problem. These results are interpreted as showing that lower level of performance in the dividing operation with the notations of fraction hinders the transformation from additive strategy to multiplicative strategy.

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A Case Study on Solution Strategies for Multiplication and Division of a Second Grader (한 초등학교 2학년 아동의 곱셈과 나눗셈 해결 전략에 관한 사례 연구)

  • Lee, Joug-Euk
    • The Mathematical Education
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    • v.46 no.2 s.117
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    • pp.155-171
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    • 2007
  • One second grader, Junsu, was observed 4 times before and after formal multiplication lesson in Grade 2. This study describes how solution strategies in multiplication problems develop over time and investigates awareness of the relation between situation and computation in simple measurement and partitive division problems as informally experienced. It was found that Junsu used additive calculation for small-number multiplication problems but could not solve large-number multiplication problems and that he did not have concept of mathematical terms at first interview stage. After formal teaching, Junsu learned a variety of multiplication solution strategies and transferred from additive calculation to multiplicative calculation. The cognitive processing load of each strategy was gradually reduced. Junsu experienced measurement division as a dealing strategy and partitive division as a estimate-adjust strategy dealing more than one object in the first round.

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Error Probability Evaluation of a Novel Cooperative Communications Signaling Strategy in CDMA Systems

  • Khuong Ho-Van;Kong Hyung-Yun
    • Journal of Communications and Networks
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    • v.8 no.3
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    • pp.257-266
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    • 2006
  • The powerful benefits of multi-antenna systems can be obtained by cooperative communications among users in multiple access environments without the need for physical arrays. This paper studies a novel cooperative signaling strategy that achieves high performance and low implementation complexity for synchronous code division multiple access (CDMA) wireless mobile networks. The validity of the proposed strategy under slow flat Rayleigh fading channel plus additive white Gaussian noise (AWGN) is verified through closed-form error probability expressions and MonteCarlo simulations. A variety of analytical results reveal that the new cooperative strategy significantly outperforms direct transmission subject to the same spectral efficiency and transmit power constraint.

APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES

  • Mirmostafaee, Alireza Kamel
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.387-400
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    • 2009
  • We establish a new strategy to study the Hyers-Ulam-Rassias stability of the Cauchy and Jensen equations in non-Archimedean normed spaces. We will also show that under some restrictions, every function which satisfies certain inequalities can be approximated by an additive mapping in non-Archimedean normed spaces. Some applications of our results will be exhibited. In particular, we will see that some results about stability and additive mappings in real normed spaces are not valid in non-Archimedean normed spaces.

An Analysis of Children's Proportional Reasoning in Proportional Problems with Iconic Representations (영상적 표상이 포함된 비례 문제에서 나타난 아동들의 비례적 사고 분석)

  • Kim, Min-Kyeoug
    • The Mathematical Education
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    • v.46 no.2 s.117
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    • pp.141-153
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    • 2007
  • The purpose of the study is to analyze children's proportional reasoning and problem solving in proportional problems with/without iconic representations. Proportional problems include 3 tasks such as (a) without any picture, (b) with simple picture, and (c) with/without iconic representation. As a result, children didn't show any significant differences in two tasks such as (a) and (b). However, children showed better proportional reasoning with iconic representation. In addition, 'build-up expression' strategy was used mostly in solving problems and 'additive strategy' was shown as an error which students didn't make an appropriate proportional relation expression and they made a wrong additive strategy.

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Analysis of research trend in natural food additives (천연 식품첨가물 연구개발 동향분석)

  • Lee, Hyun-Hee;Jung, Jae-Yeon;Park, Jung-Min
    • Food Science and Industry
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    • v.49 no.4
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    • pp.82-93
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    • 2016
  • Although the development of food technology is relatively fast, it's application is very broad. So, it is necessary that quantitative analysis method can be introduced in analysing of research trends and implication of research themes. Most countries do not classify in food additives as synthesis or natural. However, the use of natural food additives should be recommended by considering about health safety. In this regard, quantitative analysis based on bibliographic information of patents and papers is vital to analyse the trend of research on natural food additives. The data regarding with natural food additives was assigned patents and published papers in the world from 1996 to March 2016 and Thomson Innovation, analysis program was provided by Thomson reuters.

A New Interpretation on the Additive and Multiplicative Decompositions of Elastic-Plasmic Deformation Gradient Tensor (탄소성 변형구배텐서의 가산분해와 곱분해에 대한 새로운 역학적 이해)

  • Y.Y. Nam;J.G. Shin
    • Journal of the Society of Naval Architects of Korea
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    • v.33 no.3
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    • pp.94-102
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    • 1996
  • An interpretation for the additive and multiplicative decomposition theory of the deformation gradient tensor in finite deformation problems is presented. the conventional methods have not provided the additive deformation velocity gradient. Moreover the plastic deformation velocity gradients are not free from elastic deformations. In this paper, a modified multiplicative decomposition is introduced with the assumption of coaxial plastic deformation velocity gradient. This strategy well gives the additive deformation velocity gradient in which the plastic deformation velocity gradient is not affect4d by the elastic deformation.

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An Adaptive JPEG Steganographic Method Based on Weight Distribution for Embedding Costs

  • Sun, Yi;Tang, Guangming;Bian, Yuan;Xu, Xiaoyu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.5
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    • pp.2723-2740
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    • 2017
  • Steganographic schemes which are based on minimizing an additive distortion function defined the overall impacts after embedding as the sum of embedding costs for individual image element. However, mutual impacts during embedding are often ignored. In this paper, an adaptive JPEG steganographic method based on weight distribution for embedding costs is proposed. The method takes mutual impacts during embedding in consideration. Firstly, an analysis is made about the factors that affect embedding fluctuations among JPEG coefficients. Then the Distortion Update Strategy (DUS) of updating the distortion costs is proposed, enabling to dynamically update the embedding costs group by group. At last, a kind of adaptive JPEG steganographic algorithm is designed combining with the update strategy and well-known additive distortion function. The experimental result illustrates that the proposed algorithm gains a superior performance in the fight against the current state-of-the-art steganalyzers with high-dimensional features.

Research Trend of Additive Manufacturing Technology - A=B+C+D+E, add Innovative Concept to Current Additive Manufacturing Technology: Four Conceptual Factors for Building Additive Manufacturing Technology -

  • Choi, Hanshin;Byun, Jong Min;Lee, Wonsik;Bang, Su-Ryong;Kim, Young Do
    • Journal of Powder Materials
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    • v.23 no.2
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    • pp.149-169
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    • 2016
  • Additive manufacturing (AM) is defined as the manufacture of three-dimensional tangible products by additively consolidating two-dimensional patterns layer by layer. In this review, we introduce four fundamental conceptual pillars that support AM technology: the bottom-up manufacturing factor, computer-aided manufacturing factor, distributed manufacturing factor, and eliminated manufacturing factor. All the conceptual factors work together; however, business strategy and technology optimization will vary according to the main factor that we emphasize. In parallel to the manufacturing paradigm shift toward mass personalization, manufacturing industrial ecology evolves to achieve competitiveness in economics of scope. AM technology is indeed a potent candidate manufacturing technology for satisfying volatile and customized markets. From the viewpoint of the innovation technology adoption cycle, various pros and cons of AM technology themselves prove that it is an innovative technology, in particular a disruptive innovation in manufacturing technology, as powder technology was when ingot metallurgy was dominant. Chasms related to the AM technology adoption cycle and efforts to cross the chasms are considered.

TCP-RLDM : Receiver-oriented Congestion Control by Differentiation for Congestion and Wireless Losses (TCP-RLDM: Congestion losses과 Wireless losses 구별을 통한 수신측 기반 혼잡제어 방안)

  • 노경택;이기영
    • Journal of the Korea Society of Computer and Information
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    • v.7 no.4
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    • pp.127-132
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    • 2002
  • This paper aims to adjust the window size according to the network condition that the sender determines by making the receiver participating in the congestion levels. TCP-RLDM has the measurement-based transmission strategy based on the data-receiving rate complementing TCP with the property of Additive Increase / Multiplicative Decrease. The protocol can make an performance improvement by responding differently according to the property of errors-whether congestion losses or transient transmission errors - to confront dynamically in heterogeneous environments with wired or wireless networks and delay-sensitive or -tolerant applications. By collecting data-receiving rate and the cause of errors from the receiver and by enabling sender to use the congestion avoidance strategy before occuring congestion possibly, the protocol works well at variable network environments.

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