• Title/Summary/Keyword: mathematical model development

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[ $Papridry^{TM}$ ], A New Technique for Drying of Paper and Board

  • Pikulik, I.I.
    • Proceedings of the Korea Technical Association of the Pulp and Paper Industry Conference
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    • 2006.06a
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    • pp.19-29
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    • 2006
  • Drying is the least developed of all unit operations of paper and board manufacture. While groundbreaking developments were Introduced during the several past decades in forming, pressing and calendering, no radical changes occurred in drying. The cylinder-drying technology is now more than 200 years old and, while it was subject to many incremental improvements, many of its inherent problems persist. We believe that conventional drying is now approaching the end of its life and the industry is ready for a major breakthrough in drying. Indeed several innovative technologies already exist at various stages of development or commercialization. In general, the novel drying technologies are striving to increase the drying rate, improve the product quality and boost the energy efficiency of drying. A novel, drying method, $Papridry^{TM}$, which combines conductive and convective heat transfer to obtain very high drying rates, is at an advanced stage of development at Paprican. The results obtained when drying printing paper ana board on a self-standing pilot $Papridry^{TM}$ machine and on the pilot paper machine equipped with a tandem of two $Papridry^{TM}$ units demonstrate both, the high drying rate and improved product quality achieved by using this drying method. A mathematical model of this operation has been developed and the software compiled with this model was used to calculate the effect of installing a $Papridry^{TM}$ unit into an existing dryer section. The model also allows to calculate the z-direction distribution of moisture and temperature at various points of the dryer section.

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Modified Ammonia Removal Model Based on Equilibrium and Mass Transfer Principles

  • Shanableh, A.;Imteaz, M.
    • Bulletin of the Korean Chemical Society
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    • v.31 no.7
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    • pp.1920-1926
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    • 2010
  • Yoon et $al.^1$ presented an approximate mathmatical model to describe ammonia removal from an experimental batch reactor system with gaseous headspace. The development of the model was initially based on assuming instantaneous equilibrium between ammonia in the aqueous and gas phases. In the model, a "saturation factor, $\beta$" was defined as a constant and used to check whether the equilibrium assumption was appropriate. The authors used the trends established by the estimated $\beta$ values to conclude that the equilibrium assumption was not valid. The authors presented valuable experimental results obtained using a carefully designed system and the model used to analyze the results accounted for the following effects: speciation of ammonia between $NH_3$ and $NH^+_4$ as a function of pH; temperature dependence of the reactions constants; and air flow rate. In this article, an alternative model based on the exact solution of the governing mass-balance differential equations was developed and used to describe ammonia removal without relying on the use of the saturation factor. The modified model was also extended to mathematically describe the pH dependence of the ammonia removal rate, in addition to accounting for the speciation of ammonia, temperature dependence of reactions constants, and air flow rate. The modified model was used to extend the analysis of the original experimental data presented by Yoon et $al.^1$ and the results matched the theory in an excellent manner.

Development of a Rice Circulating Concurrent-flow Dryer(II) - Validation of Drying Simulation Model - (순환식 병류형 곡물건조기 개발(II) - 시뮬레이션모델의 검증 -)

  • Han, J.W.;Keum, D.H.;Kim, H.;Hong, S.J.
    • Journal of Biosystems Engineering
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    • v.32 no.5
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    • pp.309-315
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    • 2007
  • This study was performed to develop a simulation model of circulating concurrent-flow rice dryer. The simulation model consists of drying model, tempering model and crack prediction model. The drying and tempering models were developed based on mathematical analysis, and the crack prediction model was developed by thin layer drying tests. Rice drying tests were done with three replications by use of a pilot scale dryer of holding capacity of 700 kg. Experimental values for moisture content, rice temperature, rice crack, and drying energy were compared with predicted values by simulation model. The RMSEs of predicted moisture contents were ranged from 0.5807% (d.b.) to 1.1951% (d.b.). and the coefficients of determination were 0.9688 to 0.9812. The RMSEs of predicted rice temperatures at the exit of the drying chamber were 1.83 to $3.81^{\circ}C$ and the coefficients of determination were 0.8834 to 0.9482. The results for moisture contents and rice temperatures showed very good relationships between predicted values and experimental values. The RMSEs of predicted value of crack ratio were 0.4082 to 0.7967% and the coefficients of determination were 0.8742 to 0.9547.

Prediction of Creep Behavior for Cohesive Soils (점성토에 있어서의 크리프 거동 예측)

  • Kim Dae-Kyu
    • Journal of the Korean Geotechnical Society
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    • v.20 no.7
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    • pp.79-89
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    • 2004
  • An elastic-plastic-viscous constitutive model was proposed based on a simple formulation scheme. The anisotropic modified Cam-Clay model was extended for the general stress space for the plastic simulation. The generalized viscous theory was simplified and used for the viscous constitutive part. A damage law was incoporated into the proposed constitutive model. The mathematical formulation and development of the model were performed from the point of view that fewer parameters be better employed. The creep behaviors with or without creep rupture were predicted using the developed model for cohesive soils. The model predictions were favorably compared with the experimental results including the undrained creep rupture, which is an important observed phenomenon for cohesive soils. Despite the simplicity of the constitutive model, it performs well as long as the time to failure ratio of the creep rupture tests is within the same order of magnitude.

Information & Analytical Support of Innovation Processes Management Efficience Estimations at the Regional Level

  • Omelyanenko, Vitaliy;Pidorycheva, Iryna;Voronenko, Viacheslav;Andrusiak, Nataliia;Omelianenko, Olena;Fyliuk, Halyna;Matkovskyi, Petro;Kosmidailo, Inna
    • International Journal of Computer Science & Network Security
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    • v.22 no.6
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    • pp.400-407
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    • 2022
  • Innovations significantly affect the efficiency of the socioeconomic systems of the regions, acting as a system-forming element of their development. Modern models of economic development also consider innovation activity, intellectual potential, knowledge as the basic factors for stimulating the economic growth of the region. The purpose of the study is to develop methodological foundations for evaluating the effectiveness of a regional innovation system based on a multidimensional analysis of its effects. To further study the effectiveness of RIS, we have used one of the methods of multidimensional statistical analysis - canonical analysis. The next approach allows adding another important requirement to the methodological provision of evaluation of the level of innovation development of industries and regions, namely - the time factor, the formalization of which is realized in autoregressive dynamic economic and mathematical models and can be used in our research. Multidimensional Statistical Analysis for RIS effectiveness estimation was used to model RIS by typological regression. Based on it, multiple regression models were built in groups of regions with low and relatively high innovation potential. To solve the methodological problem of RIS research, we can also use the approach to the system as a "box" with inputs and outputs.

Development and Application of STEAM Education Model centered on Mathematics Subject using Real-life Context (실생활 맥락을 활용한 수학교과 중심의 STEAM 교육 모형 개발 및 적용)

  • Ban, Eun-seob
    • Communications of Mathematical Education
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    • v.32 no.3
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    • pp.341-362
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    • 2018
  • The purpose of this study is to develop a STEAM education model on the basis of mathematics curriculum using real life context, and to analyze the effect of the class based on developed model to make applicable pedagogical discussion. For this purpose, STEAM class materials that can be used in terms of recognition, connection, extension, and application of mathematical concepts, principles and laws are considered, taking into consideration the ways in which real life contexts and mathematical learning could be harmonized. As a results of using these materials, it was empirically confirmed that students' cognitive thinking and affective aspects abilities were improved. The STEAM instruction centered on the mathematics curriculum and the mathematics class based on the data developed in this study have a unique identity compared to the conventional general mathematics teaching methods using the textbooks. And it is pursuing the future class model which could present desirable creativity and personality education. The result of this study would provide preliminary data and meaningful implications to the researchers for next curriculum and concomitant instructional materials as well as the mathematics teachers.

Cultivating Mathematical Creativity through Open-ended Approaches: Development of a Program and Effectiveness Analysis (개방형 문제 중심의 프로그램이 수학적 창의력에 미치는 효과)

  • Kwon Oh Nam;Park Jung Sook;Park Jee Hyun;Cho Young Mi
    • The Mathematical Education
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    • v.44 no.2 s.109
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    • pp.307-323
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    • 2005
  • The purpose of this study was to develop a program to cultivate mathematical creativity based on open-ended problem and to investigate its effect. The major features of this innovative program are (a) breaking up fixations, (b) multiple answers, (c) various strategies, (d) problem posing, (e) exploring strategies, (f) selecting and estimating, (g) active exploration through open-ended problems. 20 units for 7th grade mathematics were developed. This study hypothesizes that experimental students may develop more divergent thinking abilities than their traditional counterparts. The participants were 7th grade students attending middle schools in Seoul. Instruments were pre and post tests to measure mainly divergent thinking skills through open-ended problems. The results indicated that the experimental students achieved better than the comparison students on overall and each component of fluency, flexibility, and originality of divergent thinking skills, when deleting the effect of covariance of the pretest. The developed program can be a useful resource for teachers to use in enhancing their students' creative thinking skills. Further this open-ended approach can be served as a model to implement in classes. This study suggests that further investigations are needed in order to examine effects on affective domains such as motivation and task perseverance which are also considered as important factors of creativity.

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Effective ChatGPT Prompts in Mathematical Problem Solving : Focusing on Quadratic Equations and Quadratic Functions (수학 문제 해결에서 효과적인 ChatGPT의 프롬프트 고찰: 이차방정식과 이차함수를 중심으로)

  • Oh, Se Jun
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.545-567
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    • 2023
  • This study investigates effective ChatGPT prompts for solving mathematical problems, focusing on the chapters of quadratic equations and quadratic functions. A structured prompt was designed, following a sequence of 'Role-Rule-Example Solution-Problem-Process'. In this study, an artificial intelligence model combining GPT-4, Wolfram plugin, and Advanced Data Analysis was utilized. Wolfram was used as the primary tool for calculations to reduce computational errors. When using the structured prompt, the accuracy rate for problems from nine high school mathematics textbooks on quadratic equations and quadratic functions was 91%, showing higher performance compared to zero-shot prompts. This confirmed the effectiveness of the structured prompts in solving mathematical problems. The structured prompts designed in this study can contribute to the development of intelligent information systems for personalized and customized education.

A Quantitative Analysis Theory for Reliability of Software (소프트웨어 신뢰성의 정량적 분석 방법론)

  • Cho, Yong-Soon;Youn, Hyun-Sang;Lee, Eun-Seok
    • Journal of KIISE:Computing Practices and Letters
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    • v.15 no.7
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    • pp.500-504
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    • 2009
  • A reliability of software is a type of nonfunctional requirement. Traditionally, a validation of the reliability is processed at the integration phase in software development life cycle. However, it increases the cost and the risk for the development. In this paper, we propose reliability analysis method based on mathematical analytic model at the architecture design phase of the development process as follows. First, we propose the software modeling methodology for reliability analysis using Hierarchical combined Queueing Petri Nets(HQPN). Second, we derive the Markov Reward Model from the HQPN based model. We apply our approach to the video conference system to verify the usefulness of our approach. Our approach supports quantitative evaluation of the reliability.

Is the RCEP a Cornerstone or Just Collaboration? Regional General Equilibrium Model Based on GAMS

  • Ahmed, Yosri Nasr;Delin, Huang;Reeberg, Benito Giovanni;Shaker, Victor
    • Journal of Korea Trade
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    • v.24 no.1
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    • pp.171-207
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    • 2020
  • Purpose - This paper investigates the potential effect of the Regional Comprehensive Economic Partnership (RCEP) on trade liberalization among member countries in order to answer key questions in our research on whether the RCEP will be a cornerstone or just collaboration. Furthermore, it aims to measure the likely magnitude of the economic impact it has on its members. Design/methodology - Toward achieving research objectives, we developed a regional CGE model based on the GTAP 9 database. Findings - The simulation results show Korea, Australia, India, and Japan ranked the top countries with an average growth in GDP of 0.38 %, 0.36%, 0.29%, and 0.23%, respectively. Moreover, China and New Zealand followed with a percentage of 0.12% each. The lower economic performing group is the ASEAN group due to a contraction in GDP by 0.13%. Accordingly, there was a positive impact of the RCEP agreement on all member states, as empirically demonstrated. Furthermore, Korea is one of the countries that will benefit most from joining this agreement. Finally, this agreement is important; it has many economic benefits to member states, but it is not a cornerstone. Originality/value - The examination of the quantitative effects of tariff removal among the RCEP's countries is its value. We will address all member countries of the convention simultaneously using a regional CGE model GAMS language, where we employed a Mathematical Programming System for General Equilibrium (MPSGE) to establish a Regional CGE model. This study is directed to policymakers looking at evaluating RCEP agreement.