• 대한수학교육학회지:수학교육학연구
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• 제14권1호
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• pp.39-69
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• 2004

본 연구에서는 학생들이 일차함수의 활용단원을 학습할 때 여러 현상을 해석하고 다양한 수학적 표현을 사용하여 모델로 만들어 문제해결과정에 이를 적용할 수 있도록, 학생들의 표현에 대한 이전 경험과 현상을 해석하기 위한 표현 방법을 효과적으로 연결하는 학습-지도 방법을 분석하였다. 본 연구는 일차함수를 학습한 8학년 학생들을 대상으로 일차함수 단원을 예측과제, 번역과제, 해석과제, 척도과제로 세분화하여 각각에 대한 학생들의 오류를 분석한 다음, 일차함수의 활용 단원을 교과서 위주의 강의식 표현변환 학습, 모델링 관점에서의 표현변환 학습과 과제기반 표현변환 학습을 실시하였다. 연구 결과, 강의식 학습 방법보다는 모델링 관점과 과제기반 학습이 표현변환의 유연한 연결성 및 일차함수에 대한 각 과제별 오류교정과 질적 함수에 대한 해석 능력에서 효과적이었다. 모델링 관점과 과제기반 학습의 경우는 모두 표현변환의 유연한 연결을 교수하는데 효과적이었으나, 질적 함수의 해석 능력에서는 모델링 관점의 학습이 보다 효과적이었다.

• International Journal of Computer Science & Network Security
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• 제21권7호
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• pp.211-220
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• 2021

The aim of the study is to implement a factor analysis of the determinants of pricing in a state-regulated competitive market using economic and mathematical modelling methods and to develop ways to improve the pricing environment of the market under study. The purpose of the work defines the main objectives: (i) to investigate the features of the competitive model of the Ukrainian flour market; (ii) to analyse the current price conjuncture of the flour market and the dynamics of the main determinants of pricing; (iii)to develop ways of improving the price situation on the flour market on the basis of the factor analysis on the results of economic and mathematical modelling. In order to ensure the reliability and validity of the research results, the following methods were applied: the logical-dialectical method of scientific knowledge in the study of the main theoretical aspects of flour market functioning, the method of logical generalisation and synthesis, comparison, factor analysis, correlation and regression analysis, the graphical method, etc. It has been shown that pricing in a state-regulated competitive market has its own characteristics. For example, in the flour market the price of goods cannot be influenced by producers (sellers) by any methods, therefore determinants of pricing by indirect influence have been taken into account. The five-factor power model of wheat flour price has been constructed. It was substantiated that the price of wheat flour in Ukraine is mostly influenced by consumer price index (0.92 %). The received complex model of wheat flour price may be used also for medium-term forecasting and working out the ways of price formation optimization in the flour market.

• 한국농업기계학회:학술대회논문집
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• 한국농업기계학회 1996년도 학술발표대회 논문집
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• pp.170-173
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• 1996

• 한국생명과학회:학술대회논문집
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• 한국생명과학회 2004년도 국제학술심포지움
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• pp.30-32
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• 2004

• East Asian mathematical journal
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• 제37권1호
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• pp.141-147
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• 2021

In [1], we studied the PDE system with time-varing delay. Time delay occurs due to loosening in a high-speed moving axially directed membrane (string, belt, or plate) at production. Our purpose in this work derives a mathematical model with internal time delay. First, we consider the physical phenomenon of axially moving membrane with respect to kinetic energy, potential energy and work done. By the energy conservation law in physics, we get the second order nonlinear PDE system with internal time delay.

• Applied Science and Convergence Technology
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• 제23권5호
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• pp.240-247
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• 2014

Modelling and measurements of normal and lateral stiffness for atomic force microscopy (AFM) are presented in this work. Important issues, such as element discretisation, stiffness calibration, and deflection angle are explored using the finite element (FE) model. Elements with various dimension ratios are investigated and comparisons with several mathematical models are reported to verify the accuracy of the model. Investigation of the deflection angle of a cantilever is also shown. Moreover, AFM force measurement experiments with conical and colloid probe tips are demonstrated. The relationships between force and displacement, required for stiffness measurement, in normal and lateral directions are acquired for the conical tip and the limitations of the colloid probe tip are highlighted.

• Advances in Computational Design
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• 제8권2호
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• pp.179-190
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• 2023

In this paper, building information modelling (BIM) associated to the principle of significant items emerged at quantities and costs in the optimization of productivity related to the rehabilitation of the building where proposed and discussed. A quantitative and qualitative study related to the field of application based on some parameters such as pathology diagnosis, projects documents and bills of quantities were used for model development at the preliminary stage of this work. The study identified 14 quantities significant items specified to cost value based on the use of the 80/20 Pareto rule, through the integration of building information modelling (BIM) in the optimisation of labour productivity for rehabilitation of buildings. The results of this study reveal the reliability and the improvement of labour productivity using building information modelling process integrating quantities and cost significant items.

• 대한수학교육학회지:수학교육학연구
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• 제20권1호
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• pp.73-84
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• 2010

학교수학에서 다루는 수학적 모델링의 일반적인 특성은 하나의 실제적인 문제를 해결하기 위하여 수학적 모델을 도입하고 이를 풀어서 실제적인 문제에 답을 제시하는 일회적인 경우가 많다. 그러나 실제적인 문제는 일회적인 모델링으로는 해결되지 않거나 그 해가 충분히 정밀하지 못한 경우가 있다. 본 연구는 여러 가지 변인을 가진 실제적인 문제를 해결하기 위해 수학적 모델을 구성할 경우, 구성한 수학적 모델의 해의 의미성을 분석해 보고 필요하면 더욱 정교한 해를 구할 수 있는 모델로 나아가는 수학적 모델링의 정교화 과정 모형을 구안하였다. 또한 그것을 수학교실에서 활용할 수 있는 수학적 모델링의 예를 제시함으로써 학교수학에서 수학적 모델링의 정교화를 다룰 수 있게 하였다.

• 대한수학회논문집
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• 제35권4호
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• pp.1095-1106
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• 2020

The purpose of this paper is to introduce a new class of rings that is closely related to the class of pseudo-Krull domains. Let 𝓗 = {R | R is a commutative ring and Nil(R) is a divided prime ideal of R}. Let R ∈ 𝓗 be a ring with total quotient ring T(R) and define 𝜙 : T(R) → R_Nil(R) by ${\phi}({\frac{a}{b}})={\frac{a}{b}}$ for any a ∈ R and any regular element b of R. Then 𝜙 is a ring homomorphism from T(R) into R_Nil(R) and 𝜙 restricted to R is also a ring homomorphism from R into R_Nil(R) given by ${\phi}(x)={\frac{x}{1}}$ for every x ∈ R. We say that R is a 𝜙-pseudo-Krull ring if 𝜙(R) = ∩ R_i, where each R_i is a nonnil-Noetherian 𝜙-pseudo valuation overring of 𝜙(R) and for every non-nilpotent element x ∈ R, 𝜙(x) is a unit in all but finitely many R_i. We show that the theories of 𝜙-pseudo Krull rings resemble those of pseudo-Krull domains.

• 대한전기학회논문지:전력기술부문A
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• 제48권2호
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• pp.89-95
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• 1999

This study investigates the population model of the spread of HIV/AIDS which the infection is generated by an infectious individual in a population of susceptible. A mathematical model is presented for the transmission dynamics of HIV infection within the communities of homosexual males. The pattern on the epidemic character of HIV, the causative agent of AIDS, was analysed by the mathematical model of AIDS system which is derived according to the ecological relationship between five epidemilogic states of individuals. The computer simulation was performed using real data and the following conclusions are drawn on the basis of the simulations. 1. The model structure and the algorithm described n the thesis is good. 2. In proportion to increase Ro, the population of AIDS patient increases and the time of its widespread reaches earlier. 3. The AIDS patients will be maximum between 7 and 21 years after an attack of AIDS and widespread between 10 and 20 years. 4. Considering the properties of the incubation periods, the maximum number of infected person is increased, and the attack rate is decreased.