• Title/Summary/Keyword: Mathematical Models

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Development of Computational Thinking-based Educational Program for SW Education (초등 SW교육을 위한 CT교육 프로그램 개발)

  • Ryu, Miyoung;Han, Seonkwan
    • Journal of The Korean Association of Information Education
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    • v.19 no.1
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    • pp.11-20
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    • 2015
  • The researches on the concept of justice and utilization for Computational Thinking with SW education are being actively discussed. However, a program has developed in conjunction with the actual elementary curriculum is not much. In this study, we have developed an educational program in applied mathematics based on CT. First, a separated view for a CT Application of mathematical concepts and objectives are set in three different application models. In order to achieve the CT-based math lessons, we also have developed a teaching and learning materials. We applied the developed materials in class, and to evaluate the satisfaction of learners. In addition to the validation of school application, we conducted a survey of professionals and teachers. The results of the analysis, the data showed that are helpful in the development of the student' CT ability as well as the ability to be helpful teaching and learning in school.

A Study of BIM based estimation Modeling data reliability improvement (BIM기반 견적 모델링 데이터 신뢰성 향상을 위한 연구)

  • Kim, Yeong-Jin;Kim, Seong-Ah;Chin, Sang-Yoon
    • Korean Journal of Construction Engineering and Management
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    • v.13 no.3
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    • pp.43-55
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    • 2012
  • A methodology for BIM Quality Assurance in the construction industry is becoming increasingly an important issue to determine the reliability of BIM. However, the quality assurance of BIM is currently limited to check 3D models, such as clash detection and space layout while verification methods for disciplinary BIM results from structural engineering, mechanical engineering, and estimation do not exist yet. Particularly, in the BIM-based estimation mathematical equations to take off quantities are not clearly exposed so that the results are not quite accepted at practices. With the concept of reliability engineering defined in the manufacturing industry to improve reliability of outcomes of BIM-based quantity take-off, impacting factors that affect reliability of BIM-based quantity take-off were derived. It was found that the factors also include the modeling method and the features of a BIM tool. Therefore, this research aims to propose modeling and verification methods to improve reliability of BIM-based quantity take-off through the pilot test that was performed with commercial BIM tools and IFC-based BIM data.

Characteristics of NOB Formation in a Coaxial Multi-Air Staged LPG Flame (동축 공기다단 LPG화염의 NOx 생성특성에 관한 연구)

  • Kim, Han-Seok;Ahn, Kook-Young;Kim, Ho-Keun;Yu, Myung-Jong;Baek, Seung-Wook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.2
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    • pp.215-226
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    • 2003
  • Experimental and numerical studies have been done to examine the effects of excess air ratio and tertiary air swirl number on the formation characteristics of NOx in a pilot scale combustor adopting a multi-air staged burner. In numerical calculation the mathematical models for turbulence, radiation and nitric oxide chemistry were taken into account. The radiative transfer equation was solved using the discrete ordinates method with the weighted sum of gray gases model. In the NOx chemistry model, the chemical reaction rates for thermal and prompt NOx were statistically averaged using a probability density function. The results were validated by comparison with measurements. For the experiment, a 0.2 MW pilot multi-staged air burner has been designed and fabricated. Using the numerical simulation developed here, a variation of thermal and prompt NOx formation was predicted by changing the excess air ratio and tertiary air swirl number. As the excess air ratio increased up to 1.9, the formation of the total as well as thermal NOx at exit increased while the prompt NOx decreased. The formation of thermal NOx was more affected by concentration of $O_2$ and $N_2$ than gas temperature. When the tertiary air swirl number increased, the formation of the total as well as the prompt NOx slightly decreased.

Gain Parameter Determination for the Feeding Speed and Skew Controller of Media Transport System using Optimization Technique (최적화 기법을 적용한 매체 이송 시스템의 이송속도 및 비틀어짐 제어기의 이득값 결정)

  • Cha, Ho-Young;Bum, Sun-Ho;Kim, Min-Soo;Lee, Soon-Geul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.6
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    • pp.607-613
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    • 2009
  • In this paper, we made a simple paper feeding system which is one of MTS (media transport system) and controllers. The plant has a flexible paper and two driving rollers and two driven rollers. The control system has two conventional PID controllers. Skew angle and feeding speed of MTS deteriorate the quality of feeding system. In order to control a feeding speed and skew of feeding paper, we control rotational velocity of two driving rollers. Therefore, this controller has two inputs and two outputs as MIMO (multi-input and multi-output) system. The control inputs were the feeding speed and the skew displacement of the paper. The control outputs were the rotational velocity to each driving roller. To find appropriate PID gains of two controllers, we proposed an optimization technique. We assume the system variables and performance of a whole system as follows. PID gains of two controllers for skew and feeding speed are system variables. System performance is both skew and feeding speed. We simulates to making mathematical correlation using global Kriging interpolation. To find appropriate value of system variables, optimization method is simulation in sequence as following method. First, the optimization solver simulates with DOE (design of experiment) tables to find correlation equation of both system variable and performances. Then, the solver guesses the appropriate values and simulates if the system variables are appropriate or not. If the result of validation doesn't satisfy the convergence and iteration tolerance, the solver makes a new Kriging models and iterates this sequence until satisfy the tolerances.

Study on Prediction of Performance with Design Variables of Solar-Assisted Still Using Waste Heat from Diesel Generator (디젤 발전기 폐열을 활용한 태양열원 해수담수기의 설계변수에 따른 성능 예측에 관한 연구)

  • Jang, Hyun;Yi, Chung Seob;Suh, Jeong Se;Jeong, Kyoung Yul;Park, Change Dae
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.12
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    • pp.1061-1068
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    • 2013
  • This study predicts distillate productions according to design variables by numerical analysis when the waste heat from a diesel generator is added to the solar-assisted still proposed in a previous study. Mathematical models were set up in reference to previous studies, and the amount of heat exchange from the waste heat recovery pipe was considered. To ensure the reliability of numerical analysis, the result was compared with that of a previous study and then, the distillate productions according to design variables were obtained by the analysis model. The results were found to generally be in agreement, and the increasing amount of distillate production of the still with the added waste heat was confirmed. In addition, the optimal value of the tilt angle of glass cover and the number of cells were determined by numerical analysis.

Empirical modeling and statistical analysis of the adsorption of reactive dye on nylon fibers (나일론섬유에 대한 반응성 염료 흡착의 실험적 모델링 및 통계적 분석)

  • Kim, Byung-Soon;Ravikumar, K.;Son, Young-A
    • Textile Coloration and Finishing
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    • v.18 no.4
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    • pp.43-48
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    • 2006
  • A phthalocyanine reactive dye was applied to nylon fibers to study the effects of the temperature and pH on % exhaustion and fixation. In addition, appropriate predictable empirical models, relatively new approaches in dyeing process, were developed incorporating interactions effects of temperature and pH for predicting the both % exhaustion and fixation. The significance of the mathematical model developed was ascertained using Excel regression (solver) analysis module. A very high correlation coefficient was obtained ($R^2=0.9895$ for % exhaustion, $R^2=0.9932$ for fixation) for the model which shows prominent prediction capacity of the model for the unknown conditions. The predictable polynomial equations developed from the Experimental results were thoroughly analyzed by ANOVA (Analysis of Variance) statistical concepts.

Automatic 3D Object Digitizing and Its Accuracy Using Point Cloud Data (점군집 데이터에 의한 3차원 객체도화의 자동화와 정확도)

  • Yoo, Eun-Jin;Yun, Seong-Goo;Lee, Dong-Cheon
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.30 no.1
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    • pp.1-10
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    • 2012
  • Recent spatial information technology has brought innovative improvement in both efficiency and accuracy. Especially, airborne LiDAR system(ALS) is one of the practical sensors to obtain 3D spatial information. Constructing reliable 3D spatial data infrastructure is world wide issue and most of the significant tasks involved with modeling manmade objects. This study aims to create a test data set for developing automatic building modeling methods by simulating point cloud data. The data simulates various roof types including gable, pyramid, dome, and combined polyhedron shapes. In this study, a robust bottom-up method to segment surface patches was proposed for generating building models automatically by determining model key points of the objects. The results show that building roofs composed of the segmented patches could be modeled by appropriate mathematical functions and the model key points. Thus, 3D digitizing man made objects could be automated for digital mapping purpose.

Gradual scene change detection using Cut frame difference and Dynamic threshold (동적 임계값과 컷 프레임 차를 이용한 점진적 전환 검출 기법)

  • Yeum, Sun-Ju;Kim, Woo-Saeng
    • The KIPS Transactions:PartB
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    • v.9B no.3
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    • pp.293-302
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    • 2002
  • Gradual scene change detection is known as more difficult problem then abrupt scene change detection on video data analysis for contents based retrieval. In this paper, we present a new method for scene change detection far both abrupt and gradual change using the variable dynamic threshold arid cut frame difference (CFD). For this, We present the characteristics arid mathematical models of gradual transitions anti then, how can be detected by the CFD. And also we present new scene change detection algorithm based on cut frame difference. By the experimental result using real world video data indicate that the proposed method detect various scene changes both abrupt and gradual change efficiently without time-consuming computation and any dependency on a kind of gradual change effects.

Analysis on the Survivor's Pension Payment with Logistic Regression Model (로지스틱 회귀모형을 이용한 유족연금 수급 분석)

  • Kim, Mi-Jung;Kim, Jin-Hyung
    • The Korean Journal of Applied Statistics
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    • v.21 no.2
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    • pp.183-200
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    • 2008
  • Research for efficient management of the National Pension has been emphasized as the current society trends toward aging and low birth rate. In this article, we suggest a statistical model for effective classification and prediction of the reserve for the survivor's pension in Korea. Logistic regression model is incorporated; correct classification rate, and distribution of the posterior probability for the reserve of survivor's pension are investigated and compared with the results from the general logistic models. Assessment of predictive model is also done with lift graph, ROC curve and K-S statistic. We suggest strategies for reducing financial risks in managing and planning the pension as an application of the suggested model.

Development of Stress-Strain Relationship Considering Strength and Age of Concrete (콘크리트의 강도와 재령을 고려한 응력-변형률 관계식의 개발)

  • 오태근;이성태;김진근
    • Journal of the Korea Concrete Institute
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    • v.13 no.5
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    • pp.447-456
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    • 2001
  • Many investigators have tried to represent the nonlinear behavior of stress-strain relationship of concrete using mathematical curves. Most of empirical expressions for stress-strain relationship, however, have focused on old age concrete, and were not able to represent well the behavior of concrete at an early age. Where wide understanding on the behavior of concrete from early age to old age is very important in evaluating the durability and service life of concrete structures. In this paper, effect of 5 different strength levels and ages of from 12 hours to 28 days on compressive stress-strain relationship was observed experimentally and analytically. Tests were carried out on $\phi$100${\times}$200mm cylindrical specimens water-cured at 20${\pm}$3$^{\circ}C$. An analytical expression of stress-stain relationship with strength and age was developed using regression analyses on experimental results. For the verification of the proposed model, the model was compared with present and existing experimental data and some existing models. The analysis shows that the proposed model predicts well experimental data and describes well effect of strength and age on stress-strain relationship.