• Title/Summary/Keyword: First Korean mathematical science journal

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Development and Application of Effect Measurement Tool for Victory Factors in Offensive Operations Using Big Data Analytics (빅데이터를 통한 공격작전 승리요인 효과측정도구 개발 및 분석 : KCTC 훈련사례를 중심으로)

  • Kim, Gak-Gyu;Kim, Dae-Sung
    • Journal of the Korean Operations Research and Management Science Society
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    • v.39 no.2
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    • pp.111-130
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    • 2014
  • For the key factors determining victory of combat, many works have been focusing on qualitative analyses in the past. As military training paradigm changes along with technology developments, demands for scientific analysis to prepare future military strength increase regarding military training results, and big data analysis has opened such possibility. We analyze the data from KCTC (Korea Combat Training Center) training to investigate the factors affected victory in offensive operations. In this context, we develop a way to measure the victory and the factors related to it from existing studies and military doctrines. We first identify Independent variables that affect offensive operations through variable selection and propose a mathematical model to explain combat victory by performing multiple regression analysis. We also verify our results with battalion-level live training data as well as previous studies on victory factors in the military doctrines.

A Study on Analysis of Novice's Protocol in Solving Physics Problems (물리문제 해결에 관한 초심자의 프로토콜분석 연구)

  • Bak, Hac-Kyoo;Kwon, Jae-Sool
    • Journal of The Korean Association For Science Education
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    • v.10 no.1
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    • pp.57-64
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    • 1990
  • In this study, novices' protocols were investigated on the basis of Mayer's analysis of mathematical problem solving. These protocols were obtained by Jae-Sool Kwon and Seong-Wang Lee(1988) by means of thinking aloud while 20 sophomore students in a department of physics education were solving physics problems on Newton's low of motion. The results of investiqation are as follows; (1) We proposed an effective method in analyzing protocols on physics porblem solving (2) We could find the defective types of knowledge of individuals who got an incorrect solution, through analyzing the cause of failure individually (3) The fact that many students considered first the frictional force as muntiplying the coefficient of friction by perpendicular force rather than as resistance of motion, was found And students' misconception on the coefficient of friction was found. (4) If such analyses of test items and protocols are used in physics education, they will be very useful for finding the faults of problem-solving process, and for setting and scoring subjective problems in physics

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Decarbonization Kinetics of Molten Iron by Ar+O2 Gas Bubbling (Ar+O2 혼합가스 취입에 의한 용철의 탈탄 반응속도)

  • Sohn, Ho-Sang;Jung, Kwang-Hyun
    • Korean Journal of Metals and Materials
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    • v.47 no.2
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    • pp.107-113
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    • 2009
  • Molten iron with 2 mass % carbon content was decarbonized at 1823 K~1923 K by bubbling $Ar+O_2$ gas through a submerged nozzle. The reaction rate was significantly influenced by the oxygen partial pressure and the gas flow rate. Little evolution of CO gas was observed in the initial 5 seconds of the oxidation; however, this was followed by a period of high evolution rate of CO gas. The partial pressure of CO gas decreased with further progress of the decarbonization. The overall reaction is decomposed to two elementary reactions: the decarbonization and the dissolution rate of oxygen. The assumptions were made that these reactions are at equilibrium and that the reaction rates are controlled by mass transfer rates within and around the gas bubble. The time variations of carbon and oxygen contents in the melt and the CO partial pressure in the off-gas under various bubbling conditions were well explained by the mathematical model. Based on the present model, it was explained that the decarbonization rate of molten iron was controlled by gas-phase mass transfer at the first stage of reaction, but the rate controlling step was transferred to liquid-phase mass transfer from one third of reaction time.

Mathematical Transformation Influencing Accuracy of Near Infrared Spectroscopy (NIRS) Calibrations for the Prediction of Chemical Composition and Fermentation Parameters in Corn Silage (수 처리 방법이 근적외선분광법을 이용한 옥수수 사일리지의 화학적 조성분 및 발효품질의 예측 정확성에 미치는 영향)

  • Park, Hyung-Soo;Kim, Ji-Hye;Choi, Ki-Choon;Kim, Hyeon-Seop
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.36 no.1
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    • pp.50-57
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    • 2016
  • This study was conducted to determine the effect of mathematical transformation on near infrared spectroscopy (NIRS) calibrations for the prediction of chemical composition and fermentation parameters in corn silage. Corn silage samples (n=407) were collected from cattle farms and feed companies in Korea between 2014 and 2015. Samples of silage were scanned at 1 nm intervals over the wavelength range of 680~2,500 nm. The optical data were recorded as log 1/Reflectance (log 1/R) and scanned in intact fresh condition. The spectral data were regressed against a range of chemical parameters using partial least squares (PLS) multivariate analysis in conjunction with several spectral math treatments to reduce the effect of extraneous noise. The optimum calibrations were selected based on the highest coefficients of determination in cross validation ($R^2{_{cv}}$) and the lowest standard error of cross validation (SECV). Results of this study revealed that the NIRS method could be used to predict chemical constituents accurately (correlation coefficient of cross validation, $R^2{_{cv}}$, ranging from 0.77 to 0.91). The best mathematical treatment for moisture and crude protein (CP) was first-order derivatives (1, 16, 16, and 1, 4, 4), whereas the best mathematical treatment for neutral detergent fiber (NDF) and acid detergent fiber (ADF) was 2, 16, 16. The calibration models for fermentation parameters had lower predictive accuracy than chemical constituents. However, pH and lactic acids were predicted with considerable accuracy ($R^2{_{cv}}$ 0.74 to 0.77). The best mathematical treatment for them was 1, 8, 8 and 2, 16, 16, respectively. Results of this experiment demonstrate that it is possible to use NIRS method to predict the chemical composition and fermentation quality of fresh corn silages as a routine analysis method for feeding value evaluation to give advice to farmers.

Mathematical Analysis on TTI's Estimation Accuracy of Food Shelf Life Depending on its Discrepancy in Temperature Dependence (상호 온도의존성의 차이에 따른 TTI의 식품 shelf life 예측 정확성에 대한 수리적 분석)

  • Kang, Jin Won;Choi, Jung Hwa;Park, Soo Yeon;Kim, Min Jung;Kim, Min Jung;Lee, Man Hi;Jung, Seung Won;Lee, Seung Ju
    • KOREAN JOURNAL OF PACKAGING SCIENCE & TECHNOLOGY
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    • v.20 no.3
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    • pp.85-89
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    • 2014
  • TTI is a small label of which the color changes by time-temperature history during food storage. The food shelf life (SL) was compared with that of TTI, the time for TTI to reach the end-point of its color change, for the various discrepancies in two Arrhenius activation energies (Ea), an important parameter of temperature dependence. The SL of TTI and food were mathematically simulated, based on zero-order and first-order kinetics, respectively. In the case Ea of food was smaller than that of TTI, the SL of food was larger than that of TTI, meaning TTI reaches the end-point of color change earlier even though food is still fresh. In the case of Ea of food > Ea of TTI, the food reaches the SL earlier than the TTI. In addition, the magnitude of ${\Delta}Ea$ between food and TTI led to the bigger ${\Delta}SL$. To be safe, $SL_{Food}$ > $SL_{TTI}$ would be practical although $SL_{Food}{\fallingdotseq}SL_{TTI}$ is ideal.

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Vibration Characteristics of the Fruit and Vegetables during Transportation (II) -Vibration Characteristics of the Fruit and Vegetables using FEM- (유통중 청과물의 진동 특성 연구 (II) -유한요소법을 이용한 청과물의 진동특성-)

  • Kim, Man-Soo;Jung, Hyun-Mo;Kim, Ghi-Seok;Park, Chung-Gil
    • Korean Journal of Agricultural Science
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    • v.30 no.2
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    • pp.184-190
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    • 2003
  • Finite element method(FEM) was used to obtain an approximate solution, since the mathematical formulations for the problem are complex and cannot be solved analytically. In this study, the fruit as well as the aluminum support on vibrator are discretized into small elements, and the approximate functions are used to describe the displacements in each element in terms of nodal values, and because of the complexity of the problem of viscoelastic materials such as the fruit and vegetables, it was necessary to validate the modeling approach before pear simulations were performed, and the finite element modeling approach was first validated by comparing the results obtained from simulation and experiment for the pear in the frequency range 3 to 150 Hz and acceleration level of 0.25 G-rms. Based on the relatively good agreement between simulated and measured frequencies for the pear, finite element models of tomato and oriental melon were created to study the vibration characteristics of the fruit and vegetables. The resonance frequencies of the pear, tomato and oriental melon using FEM were 62.50, 39.45 and 62.73 Hz and the peak accelerations of them using FEM were 2.21, 1.38 and 1.98 G-rms.

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Community Composition and Adapted Environment of Sundew (Drosera rotundifolia) in Koppler Moor, Austria (Austria Koppler Moor에 서식하는 끈끈이주걱(Drosera rotundifolia)의 군란형성과 적응환경)

  • 이종운
    • Journal of Life Science
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    • v.10 no.2
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    • pp.169-176
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    • 2000
  • At Koppl area, undamaged natural habitat of sundew, I have analysed interspecific affinities and community composition through mathematical method and important environmental factors. Interspecific affinities of the species with frequency of more than 5% in vegetation table were analysed through chi-square test and showed obvious group of Drosera rotundifolia, Vaccinium uliginosum, Calluna vulgaris, Eriophorum angustifolium and 21 species. The result of ordination anlysis using DECORANA of VESPAN II showed eigenvalue of 0.6047 for axis I, 0.2024 for axis II and 0.0763 for axis Ⅲ. And it divided into 4 groups of quadrat number 1-5 for Sphagnum squarrosum-community, 6-10 for Crepis paludosa-community. 11-25 for Carex panicea-community and 26-35 for Scorpidium scorpioides-community. By the classification using TWINSPAN, the 7 areas divided into 2 groups of 1-10 and 11-35 at first level of division with high eigenvalue of 0.588 and indicator was Sphagnum squarrosum. At second level of division it divided into 4 groups as the results of DECORANA with eigenvalues of 0.268 and 0.423 and indicators were Pinguicula vulgaris and Scorpidium scorpioides. Microclimatic environment of studied area was low in temperature and high in humidity and soil environment showed high in field moisture capacity, acid, high organic matter content, low NO3 and K2O content, compare to normal soil, and high ground water level.

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Climate change impact assessment of agricultural reservoir using system dynamics model: focus on Seongju reservoir

  • Choi, Eunhyuk
    • Korean Journal of Agricultural Science
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    • v.48 no.2
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    • pp.311-331
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    • 2021
  • Climate change with extreme hydrological events has become a significant concern for agricultural water systems. Climate change affects not only irrigation availability but also agricultural water requirement. In response, adaptation strategies with soft and hard options have been considered to mitigate the impacts from climate change. However, their implementation has become progressively challenging and complex due to the interconnected impacts of climate change with socio-economic change in agricultural circumstances, and this can generate more uncertainty and complexity in the adaptive management of the agricultural water systems. This study was carried out for the agricultural water supply system in Seongju dam watershed in Seonju-gun, Gyeongbuk in South Korea. The first step is to identify system disturbances. Climate variation and socio-economic components with historical and forecast data were investigated Then, as the second step, problematic trends of the critical performance were identified for the historical and future climate scenarios. As the third step, a system structure was built with a dynamic hypothesis (causal loop diagram) to understand Seongju water system features and interactions with multiple feedbacks across system components in water, agriculture, and socio-economic sectors related to the case study water system. Then, as the fourth step, a mathematical SD (system dynamics) model was developed based on the dynamic hypothesis, including sub-models related to dam reservoir, irrigation channel, irrigation demand, farming income, and labor force, and the fidelity of the SD model to the Seongju water system was checked.

Applications of Data Mining Techniques to Operations Planning for Real Time Order Confirmation (실시간 주문 확답을 위한 데이터 마이닝 기반 운용 계획 모델)

  • Han Hyun-Soo;Oh Dong-Ha
    • Korean Management Science Review
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    • v.21 no.3
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    • pp.101-113
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    • 2004
  • In the rapidly propagating Internet based electronic transaction environment. the importance of real time order confirmation has been more emphasized, In this paper, using data mining techniques, we develop intelligent operations decision model to allow real time order confirmation at the time the customer places an order with required delivery terms. Among various operation plannings used for order fulfillment. mill routing is the first interface decision point to link the order receiving at the marketing with the production planning for order fulfillment. Though linear programming based mathematical optimization techniques are mostly used for mill routing problems, some early orders should wait until sufficient orders are gathered for optimization. And that could effect longer order fulfillment lead-time, and prevent instant order confirmation of delivery terms. To cope with this problem, we provide the intelligent decision model to allow instant order based mill routing decisions. Data mining techniques of decision trees and neural networks. which are more popular in marketing and financial applications, are used to develop the model. Through diverse computational trials with the industrial data from the steel company. we have reported that the performance of the proposed approach is effective compared to the present heuristic only mill routing results. Various issues of data mining techniques application to the mill routing problems having linear programming characteristics are also discussed.

Analysis of Revenue-Sharing Contracts for Service Facilities

  • Yeh, Ruey Huei;Lin, Yi-Fang
    • Industrial Engineering and Management Systems
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    • v.8 no.4
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    • pp.221-227
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    • 2009
  • There are customer services jointly provided by two facilities so that each customer will complete the course made up of both facilities' sub-services. The two facilities are assumed invested respectively by an infrastructure owner and one subordinate facility owner, whose partnership is built on their capital investments. This paper presents a mathematical model of Stackelberg competition between the two facility owners to derive their optimal Nash equilibrium. In this study, each facility owner's profit is consisted of fixed revenue fractions of sold services, operating costs (including depreciation cost) and maintenance costs of her facility. The maintenance costs of one facility are incurred both by failures and deterioration due to usage. Moreover, for both facilities, failures are rectified immediately by minimal repairs and preventive maintenance is carried out at a fixed time epoch. Additional assumptions are also employed to develop the model such as customer arrivals are manipulated to follow a Poisson process, and each facility's lifetime is independently Weibull-distributed. The Stackelberg game proceeds as follows. At the first stage of decision making process, the infrastructure owner (acting as a leader) decides the allocation of revenue shares based on her self-interest. After observing the allocation of revenue shares, the subordinate facility owner determines her own optimal price of services. This paper investigates actions and reactions of the two partners in the system. Then analytical conditions are proposed to achieve a unique optimal Nash equilibrium. Finally, some suggestions for further research are discussed.