• Title/Summary/Keyword: Calculation methods and principles

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A Study on the Understanding and Instructional Methods of Arithmetic Rules for Elementary School Students (초등학생의 연산법칙 이해 수준과 학습 방안 연구)

  • Kim, Pan Soo
    • East Asian mathematical journal
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    • v.38 no.2
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    • pp.257-275
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    • 2022
  • Recently, there are studies the argument that arithmetic rules established by the four fundamental arithmetic operations, in other words, commutative laws, associative laws, distributive laws, should be explicitly described in mathematics textbooks and the curriculum. These rules are currently implicitly presented or omitted from textbooks, but they contain important principles that foster mathematical thinking. This study aims to evaluate the current level of understanding of these computation rules and provide implications for the curriculum and textbook writing. To this end, the correct answer ratio of the five arithmetic rules for 1-4 grades 398 in five elementary schools was investigated and the type of error was analyzed and presented, and the subject to learn these rules and the points to be noted in teaching and learning were also presented. These results will help to clarify the achievement criteria and learning contents of the calculation rules, which were implicitly presented in existing national textbooks, in a new 2022 revised curriculum.

Methods to evaluate the twin formation energy: comparative studies of the atomic simulations and in-situ TEM tensile tests

  • Hong-Kyu Kim;Sung-Hoon Kim;Jae-Pyoung Ahn
    • Applied Microscopy
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    • v.50
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    • pp.19.1-19.9
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    • 2020
  • Deformation twinning, one of the major deformation modes in a crystalline material, has typically been analyzed using generalized planar fault energy (GPFE) curves. Despite the significance of these curves in understanding the twin nucleation and its effect on the mechanical properties of crystals, their experimental validity is lacking. In this comparative study based on the first-principles calculation, molecular dynamics simulation, and quantitative in-situ tensile testing of Al nanowires inside a transmission electron microscopy system, we present both a theoretical and an experimental approach that enable the measurement of a part of the twin formation energy of the perfect Al crystal. The proposed experimental method is also regarded as an indirect but quantitative means for validating the GPFE theory.

Development of Assessment Indicators and System for Ecotourism Designation (생태관광 지정제 도입을 위한 평가지표 및 체계 개발)

  • Choi, Hee-Sun;Kim, Hyun-Ae
    • Journal of Environmental Impact Assessment
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    • v.21 no.1
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    • pp.185-199
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    • 2012
  • Ecotourism has been attracting much attention as an example industry that can vitalize local economy markets and preserve natural resources. Implementation of 'Ecotourism Designation System' is under consideration to provide ecotourism products that can both emphasize the original meanings of ecotourism and ensure stronger trust from customers than ever before. This research introduced the direction, principles, subjects, and assessment indicators by subjects in terms of implementing the system and proposed fundamentals for both designation assignment and score calculation. In the face of implementing such a system in Korea, the investigation sought subjects whose target areas and programs are in need of examination. For assessment criteria by subjects, six assessment indicators were selected in the end for ecotourism sites, including: (1) the value of natural/ecological preservation (2) facility's ecological design (3) understanding both the environment and local culture (4) systems connecting local communities for cooperation (5) long/short term preservation and maintenance strategies/plans (6) willingness to further develop ecotourism and cooperative platform. In addition, seven assessment indicators were selected for program assignments, including: (1) the value of natural/ecological preservation (2) minimization of environmental effects (3) expansion of environmental understanding (4) sharing the local culture (5) vitalizing local connections and economical activities among communities (6) securing and maintaining professionality among human resources (7) odds of continuation, creativity, and aptness to improve programs. After considering the pros and cons of both categorizing system and yes/no system, implementation of categorizing system for the short term and yes/no for the long term were suggested, followed by additional suggestions of a score calculation system for each system. The official implementation of the 'Ecotourism Designation System' is scheduled for launch in 2013 after the trial operation in 2012. The assessment indicators and fundamentals suggested in this research, considering judgment, must be improved via systematic and practical methods through the trial operation.

Analysis of the Charging Characteristics of High Voltage Capacitor Chargers Considering the Transformer Stray Capacitance

  • Lee, Byungha;Cha, Hanju
    • Journal of Power Electronics
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    • v.13 no.3
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    • pp.329-338
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    • 2013
  • In this paper, the charging characteristics of series resonant type high voltage capacitor chargers considering the transformer stray capacitance have been studied. The principles of operation for the four operational modes and the mode changes for the four different switching frequency sections are explained and analyzed in the range of switching frequency below the resonant frequency. It is confirmed that the average charging currents derived from the above analysis results have non-linear characteristics in each of the four modes. The resonant current, resonant voltage, charging current, and charging time of this capacitor charger as variations of the switching frequency, series parallel capacitance ratio ($k=C_p/C_s$), and output voltage are calculated. From the calculation results, the advantages and disadvantages arising from the parallel connection of this stray capacitance are described. Some methods to minimize charging time of this capacitor charger are suggested. In addition, the results of a comparative test using two transformers whose stray capacitances are different are described. A 1.8 kJ/s prototype capacitor charger is assembled with a TI28335 DSP controller and a 40 kJ, 7 kV capacitor. The analysis results are verified by the experiment.

Methods of analysis for buildings with uni-axial and bi-axial asymmetry in regions of lower seismicity

  • Lumantarna, Elisa;Lam, Nelson;Wilson, John
    • Earthquakes and Structures
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    • v.15 no.1
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    • pp.81-95
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    • 2018
  • Most buildings feature core walls (and shear walls) that are placed eccentrically within the building to fulfil architectural requirements. Contemporary earthquake design standards require three dimensional (3D) dynamic analysis to be undertaken to analyse the imposed seismic actions on this type of buildings. A static method of analysis is always appealing to design practitioners because results from the analysis can always be evaluated independently by manual calculation techniques for quality control purposes. However, the equivalent static analysis method (also known as the lateral load method) which involves application of an equivalent static load at a certain distance from the center of mass of the buildings can generate results that contradict with results from dynamic analysis. In this paper the Generalised Force Method of analysis has been introduced for multi-storey buildings. Algebraic expressions have been derived to provide estimates for the edge displacement ratio taking into account the effects of dynamic torsional actions. The Generalised Force Method which is based on static principles has been shown to be able to make accurate estimates of torsional actions in seismic conditions. The method is illustrated by examples of two multi-storey buildings. Importantly, the black box syndrome of a 3D dynamic analysis of the building can be circumvented.

Prediction of Material's Formation Energy Using Crystal Graph Convolutional Neural Network (결정그래프 합성곱 인공신경망을 통한 소재의 생성 에너지 예측)

  • Lee, Hyun-Gi;Seo, Dong-Hwa
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.35 no.2
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    • pp.134-142
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    • 2022
  • As industry and technology go through advancement, it is hard to search new materials which satisfy various standards through conventional trial-and-error based research methods. Crystal Graph Convolutional Neural Network(CGCNN) is a neural network which uses material's features as train data, and predicts the material properties(formation energy, bandgap, etc.) much faster than first-principles calculation. This report introduces how to train the CGCNN model which predicts the formation energy using open database. It is anticipated that with a simple programming skill, readers could construct a model using their data and purpose. Developing machine learning model for materials science is going to help researchers who should explore large chemical and structural space to discover materials efficiently.

Coherent Understanding on Addition/Subtraction from the Viewpoint of Measuring (측정의 관점에서 본 덧.뺄셈의 통합적 이해)

  • Byun, Hee-Hyun
    • Journal of Educational Research in Mathematics
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    • v.19 no.2
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    • pp.307-319
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    • 2009
  • Current school mathematics introduces addition/subtraction between natural numbers, fractions, decimal fractions, and square roots, step-by-step in order. It seems that, however, school mathematics focuses too much on learning the calculation method of addition/subtraction between each stages of numbers, to lead most of students to understand the coherent principle, lying in addition/subtraction algorithm between real numbers in all. This paper raises questions on this problematic approach of current school mathematics, in learning addition/subtraction. This paper intends to clarify the fact that, if we recognize addition/subtraction between numbers from the viewpoint of 'measuring' and 'common measure', as Dewey did when he argued that the psychological origin of the concept of number was measuring, then we could find some common principles of addition/subtraction operation, beyond the superficial differences among algorithms of addition/subtraction between each stages of numbers. At the end, this paper suggests the necessity of improving the methods of learning addition/subtraction in current school mathematics.

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A Study on the Intelligent Quick Response System for Fast Fashion(IQRS-FF) (패스트 패션을 위한 지능형 신속대응시스템(IQRS-FF)에 관한 연구)

  • Park, Hyun-Sung;Park, Kwang-Ho
    • Journal of Intelligence and Information Systems
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    • v.16 no.3
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    • pp.163-179
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    • 2010
  • Recentlythe concept of fast fashion is drawing attention as customer needs are diversified and supply lead time is getting shorter in fashion industry. It is emphasized as one of the critical success factors in the fashion industry how quickly and efficiently to satisfy the customer needs as the competition has intensified. Because the fast fashion is inherently susceptible to trend, it is very important for fashion retailers to make quick decisions regarding items to launch, quantity based on demand prediction, and the time to respond. Also the planning decisions must be executed through the business processes of procurement, production, and logistics in real time. In order to adapt to this trend, the fashion industry urgently needs supports from intelligent quick response(QR) system. However, the traditional functions of QR systems have not been able to completely satisfy such demands of the fast fashion industry. This paper proposes an intelligent quick response system for the fast fashion(IQRS-FF). Presented are models for QR process, QR principles and execution, and QR quantity and timing computation. IQRS-FF models support the decision makers by providing useful information with automated and rule-based algorithms. If the predefined conditions of a rule are satisfied, the actions defined in the rule are automatically taken or informed to the decision makers. In IQRS-FF, QRdecisions are made in two stages: pre-season and in-season. In pre-season, firstly master demand prediction is performed based on the macro level analysis such as local and global economy, fashion trends and competitors. The prediction proceeds to the master production and procurement planning. Checking availability and delivery of materials for production, decision makers must make reservations or request procurements. For the outsourcing materials, they must check the availability and capacity of partners. By the master plans, the performance of the QR during the in-season is greatly enhanced and the decision to select the QR items is made fully considering the availability of materials in warehouse as well as partners' capacity. During in-season, the decision makers must find the right time to QR as the actual sales occur in stores. Then they are to decide items to QRbased not only on the qualitative criteria such as opinions from sales persons but also on the quantitative criteria such as sales volume, the recent sales trend, inventory level, the remaining period, the forecast for the remaining period, and competitors' performance. To calculate QR quantity in IQRS-FF, two calculation methods are designed: QR Index based calculation and attribute similarity based calculation using demographic cluster. In the early period of a new season, the attribute similarity based QR amount calculation is better used because there are not enough historical sales data. By analyzing sales trends of the categories or items that have similar attributes, QR quantity can be computed. On the other hand, in case of having enough information to analyze the sales trends or forecasting, the QR Index based calculation method can be used. Having defined the models for decision making for QR, we design KPIs(Key Performance Indicators) to test the reliability of the models in critical decision makings: the difference of sales volumebetween QR items and non-QR items; the accuracy rate of QR the lead-time spent on QR decision-making. To verify the effectiveness and practicality of the proposed models, a case study has been performed for a representative fashion company which recently developed and launched the IQRS-FF. The case study shows that the average sales rateof QR items increased by 15%, the differences in sales rate between QR items and non-QR items increased by 10%, the QR accuracy was 70%, the lead time for QR dramatically decreased from 120 hours to 8 hours.

Experimental Study on the Water Content Formula of Fresh Concrete by Microwave Oven Drying Test Method (고주파 가열건조 시험방법에 의한 굳지 않은 콘크리트의 단위수량 추정식에 관한 실험적 연구)

  • Park, Min-Yong;Han, Min-Cheol
    • Journal of the Korea Institute of Building Construction
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    • v.23 no.2
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    • pp.143-152
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    • 2023
  • In this research, the microwave oven drying method was investigated as a potential accurate testing approach for determining the water content of fresh concrete. To do so, water content estimation formulas employed in three prominent oven drying test methods were selected, and the calculation principles for each equation, along with potential error factors arising during the actual testing process, were considered. Moreover, a concrete test was conducted to validate the possible error factors. Consequently, it was confirmed that estimation errors in the water content of fresh concrete can occur due to sample deviations arising during the wet screening process for creating mortar specimens or deviations in the coarse aggregate sampling quantity during the sample collection process.

The Analysis on Utilization Trend of the Technology in Secondary Mathematics Textbooks Based on the $6^{th}$, $7^{th}$ and 2007 Revised Curriculum in Korea (교육과정에 따른 중등 수학과 교과서에서 공학 도구 활용의 변화 분석)

  • Kim, Mi Hwa;Son, Hong Chan
    • School Mathematics
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    • v.15 no.4
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    • pp.975-994
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    • 2013
  • In this paper, we analyzed the utilization trend of technology in the secondary mathematics textbooks based on the 6th, 7th and 2007 revised mathematics curriculums in Korea. We analyzed 30, 60 and 90 mathematics books based on the 6th, 7th and 2007 revised mathematics curriculums respectively. The analysis focused on three aspects of using technology, i.e., contents areas in which technology used, technological tools and programs used, and methods of using technology in teaching and learning mathematics. The results shows that the frequency of using technology in mathematics books has been increased as mathematics curriculum has been revised. In the mathematics books based on th 6th curriculum, only 25 scenes were found, but in 7th and 2007 revised curriculum 248 and 355 scenes were found. In the 6th curriculum, calculators and graphing calculators were used mainly, but in the 7th and 2007 revised curriculum many kinds of technological tools and softwares were used including CAS, dynamic geometry software, spreadsheets, programming language, and the Internet. Especially the internet was used frequently in the 7th curriculum. And the methods of using technology has been diversified as time passed. In the 6th curriculum, the technology mainly used for introducing technology and simple calculation, but in the 7th and 2007 revised curriculum the technologies and software were also used for understanding mathematical laws, principles and concepts and students-centered exploring the mathematical properties.

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