• 대한수학회보
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• 제58권6호
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• pp.1507-1520
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• 2021

Let R be a commutative ring with 1 ≠ 0, n be a positive integer and M be an R-module. In this paper, we introduce the concept of weakly quasi n-absorbing submodule which is a proper generalization of quasi n-absorbing submodule. We define a proper submodule N of M to be a weakly quasi n-absorbing submodule if whenever a ∈ R and x ∈ M with 0 ≠ aⁿ x ∈ N, then aⁿ ∈ (N :_R M) or a^n-1 x ∈ N. We study the basic properties of this notion and establish several characterizations.

• 한국학교수학회논문집
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• 제23권2호
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• pp.179-201
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• 2020

본 연구는 한국과 미국의 기하 영역 교과서 과제에 제시된 실생활 맥락 과제를 수학적 모델링 관점에서 분석함으로써 두 나라 학생에게 주어진 수학적 모델링 학습기회의 다양성을 비교하는 것을 목표로 한다. 이를 위해, 각 나라 교과서 과제를 수학적 모델링 과정, 데이터, 표현종류의 세 가지 측면을 중심으로 분석하였다. 연구결과는 다음과 같다. 첫째, 수학적 모델링 과정과 관련하여, 한국 교과서의 경우 미국 교과서보다 수학적 모델링 과정의 모든 단계에서 더 높은 비중으로 과제를 제공한다. 둘째, 데이터의 특징과 관련하여, 두 나라 교과서 모두 적정 데이터 과제 비율이 가장 높으며, 한국의 경우 교과서별 데이터 특징의 격차가 크다. 셋째, 표현종류와 관련하여, 두 나라 교과서 모두 글과 그림 과제 비율이 가장 높다. 한국 교과서가 미국 교과서보다 교과서에 따른 표현종류의 차이가 크게 나타났으며, 일부 교과서의 경우 글과 그림을 제외한 다른 표현이 제시되지 않았다. 넷째, 세 가지 특징을 통합하여 과제를 분석한 결과, 세 가지 측면이 다양하게 다루어지기보다 적정 데이터를 글과 그림으로 제시한 뒤 수학 결과를 얻는 데 초점을 둔 과제가 주로 제시되었다. 한국 교과서와 달리 미국 교과서에만 제시된 과제로, 과잉 데이터가 글로 제시되어 수학화를 요구하는 과제가 확인되었다.

• 산업공학
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• 제25권3호
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• pp.300-308
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• 2012

For convenient business process modeling we propose a mathematical approach to obtain appropriate process structures. In this paper, we define business process structural constraints, on which basis, using Social Network Analysis (SNA), we analyze the frequency of handover occurrences among performers in social network. We here present, therefrom, a new, mathematical approach to business process modeling that proceeds by identifying the social relations among activities.

• 한국공작기계학회논문집
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• 제11권1호
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• pp.70-76
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• 2002

Unmanned vehicles have to decide their velocities suitable for the paths which should be generated by the vehicles themselves, based on the kinematic and dynamic aspects of vehicles. For this purpose, this paper is to propose a mathematical modeling of tuning trace for the cornering of an unmanned vehicle by using normal-tangent coordinates as well as extracting the characteristics of behavior for car drivers in cornering. In the proposed modeling, the limitations of velocity can be determined based on the knowledge that the handling of drivers means the control of radius of curvature. The proposed modeling can reduce computational load and generate turning angles and velocities suitable for the cornering of unmanned vehicles.

• Journal of Electrical Engineering and Technology
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• 제7권6호
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• pp.845-851
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• 2012

Power system loads have a significant impact on a system. Although it is difficult to precisely describe loads in a mathematical model, accurately modeling them is important for a system analysis. The traditional load modeling method is based on the load components of a bus. Recently, the load modeling method based on measurements from a system has been introduced and developed by researchers. The two major components of a load modeling problem are determining the mathematical model for the target system and estimating the parameters of the determined model. We use the composite load model, which has both static and dynamic load characteristics. The ZIP model and the induction motor model are used for the static and dynamic load models, respectively. In this work, we propose the measurement-based parameter estimation method for the composite load model. The test system and related measurements are obtained using transient security assessment tool(TSAT) simulation program and PSS/E. The parameter estimation is then verified using these measurements. Cases are tested and verified using the sample system and its related measurements.

• 한국산업융합학회 논문집
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• 제25권4_1호
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• pp.513-519
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• 2022

In this paper, we describe performances of P-PD controllers in the quadrotor system with steady-state error compensation by adding a corrective term to the system input. A decentralized control system using P-PD controllers was successfully implemented on a quadrotor platform. We also presented the results of a mathematical modeling analysis for control the quadrotor and experimental results for each response performance according to the heading reference value in accordance with the mathematical modeling and P-PD controller design. A control experiment with the real system was implemented for the test platform, and the results were evaluated and compared.

• 호남수학학술지
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• 제36권1호
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• pp.131-139
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• 2014

We present a theoretical study that assesses the persistence of obesity. The basic reproductive number for the model is computed, and its sensitivity on some parameter values is explored. This may be of interest to public health authorities.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제1권1호
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• pp.87-94
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• 1997

"In computer-assisted learning (CAL), small group problem-solving instruction is efficient. CAL should shift the focus of school mathematics toward goals for problem solving and mathematical modeling. For the shift, the roles and responsibilities for teachers are very important in CAL" (Heid et al. 1990).

• 경영과학
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• 제11권1호
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• pp.59-72
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• 1994

In this paper we examine potentials of a spreadsheet program, one of the most widly available software system, as a mathematical optimization modeling tool. For an illustrative example, a shortest path problem is modeled on Lotus-123 for practical use and an implementational framework and a general guide to the spreadsheet modeling of network analysis is provided.

• 한국지하수토양환경학회:학술대회논문집
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• 한국지하수토양환경학회 2002년도 추계학술발표회
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• pp.86-88
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• 2002

The mathematical model was proposed to simulate ozone transport and remediation in unsaturated soils contaminated with phenanthrene. Soil column experiments were also carried out to calibrate the mathematical model. The experimental results successfully matched with the modeling results in various soil conditions. The model proposed nondimensional fraction factor to reveal reactivity between phenanthrene and gas phase ozone and liquid phase ozone. From sensitivity analysis, the fraction factor and stoichiometric coefficient decreased as water content increased. Simulation results showed increased SOM content retarded the ozone transport and the phenanthrene removal due to increased ozone consumption.