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Criticism and alternatives of calculus history described by secondary school mathematics textbooks - Focusing on the history of calculus until the 17th century - (중등수학 교과서가 다루는 미적분 역사 서술의 비판과 대안 - 17세기까지의 미적분의 역사를 중심으로 -)

  • Kim, Sang Hoon;Park, Jeanam
    • Communications of Mathematical Education
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    • v.31 no.2
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    • pp.139-152
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    • 2017
  • In this paper, we examine how secondary school mathematics textbooks on calculus introduce the history of calculus. In order to identify the problem, we consider the Babylonian integration by trapezoidal rule, which was made to calculate the location of Jupiter in 350-50 B.C., and the integration by the method of the rotating plate of ibn al-Haytham in Egypt, about 1000 years. In conclusion, our secondary school mathematics textbooks describe Newton and Leibniz as inventing calculus and place their roots in ancient Greece. The origin of the calculus is in Babylonia and the Faṭimah Dynasty (909-1171) (Egypt) and it is desirable that the calculus is developed in Europe after the development of the power series in India, and that the value of Asia Africa is introduced in the textbooks.

Production of Water/n-decane Emulsion Fuel and Evaluation of Rheological Stability (물/n-데칸 에멀젼 연료의 제조 및 유변학적 안정성 평가)

  • Kim, Hye Min
    • Journal of Aerospace System Engineering
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    • v.11 no.4
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    • pp.8-14
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    • 2017
  • In this study, the production of proper emulsion fuel and the evaluation of its rheological stability in various experimental conditions were carried out. The W/O (water-in-oil) emulsion fuel was made using n-decane, pure water, and Span 80 was used as a surfactant. Increments of water volume ratio and fuel temperature were the factors, which boosted the phase separation of the emulsion fuel. Rheological characteristics for different water/oil volume ratio, temperature, and elapsed time after the fuel production were examined. As the water volume ratio in the fuel increased, the behavior of non-Newtonian fluid was observed. Viscosity declined as the fuel temperature increased due to the cohesion of water droplets in the fuel. The effect of elapsed time on viscosity was not severe for lower water ratio. However, gradual decrease of viscosity 3 hours after fuel production, in the case of ratio of 3:7, was clearly observed.

Study on Breakup Characteristics of Gel Propellant Using Pressure Swirl Injector (압력선회형 인젝터를 이용한 젤 추진제의 분열특성 연구)

  • Cho, Janghee;Lee, Donghee;Kim, Sulhee;Lee, Donggeun;Moon, Heejang
    • Journal of the Korean Society of Propulsion Engineers
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    • v.25 no.5
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    • pp.10-17
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    • 2021
  • In this study, cold-flow test of simulant gel is conducted using a pressure swirl injector to identify spray characteristics according to gellant weight percent. Experiment results show the aircore is developed locally at the nozzle and expanded to the entire swirl chamber as the supply pressure increases. The aircore formation of simulant gel showed no significant difference compared to Newtonian fluid. The spray pattern was classified into four distinct shapes where relationship between the breakup regimes and dimensionless numbers were investigated. In the future, additional study is necessary to understand the aircore formation mechanism, stability and spray characteristics at different configuration of the swirl chamber shape.

Two-phase Finite Volume Analysis Method of Debris Flows in Regional-scale Areas (2상 유한체적모델 기반의 광역적 토석류 유동해석기법)

  • Jeong, Sangseom;Hong, Moonhyun
    • Journal of the Korean Geotechnical Society
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    • v.38 no.4
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    • pp.5-20
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    • 2022
  • To analyze the flow and density variations in debris flows, a two-phase finite volume model simplified with momentum equations was constructed in this study. The Hershel-Buckley rheology model was employed in this model to account for the internal and basal friction of debris flows and was utilized to analyze complex topography and entrainments of basal soil beds. In order to numerically solve the debris flow analysis model, a finite volume model with the Harten-Lax-van Leer-Contact method was used to solve the conservation equation for the debris flow interface. Case studies of circular dam failure, non-Newtonian fluid dam failure, and multiple debris flows were analyzed using the proposed model to evaluate shock absorption capacity, numerical isotropy, model accuracy, and mass conservation. The numerical stability and correctness of the debris flow analysis of this analysis model were proven by the analysis results. Additionally, the rate of debris flow with various rheological properties was systematically simulated, and the effect of debris flow rheological properties on behavior was analyzed.

The study on Lightness and Performance Improvement of Universal Code (BL-beta code) for Real-time Compressed Data Transferring in IoT Device (IoT 장비에 있어서 실시간 데이터 압축 전송을 위한 BL-beta 유니버설 코드의 경량화, 고속화 연구)

  • Jung-Hoon, Kim
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.15 no.6
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    • pp.492-505
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    • 2022
  • This study is a study on the results of improving the logic to effectively transmit and decode compressed data in real time by improving the encoding and decoding performance of BL-beta codes that can be used for lossless real-time transmission of IoT sensing data. The encoding process of BL-beta code includes log function, exponential function, division and square root operation, etc., which have relatively high computational burden. To improve them, using bit operation, binary number pattern analysis, and initial value setting of Newton-Raphson method using bit pattern, a new regularity that can quickly encode and decode data into BL-beta code was discovered, and by applying this, the encoding speed of the algorithm was improved by an average of 24.8% and the decoding speed by an average of 5.3% compared to previous study.

Multibody Dynamics Simulation and Experimental Study on the Tagline Control of a Cargo Suspended by a Floating Crane (해상크레인으로 인양하는 중량물의 Tagline 제어를 위한 다물체계 동역학 시뮬레이션 및 실험)

  • Ku, Nam-Kug;Lee, Kyu-Yuel;Kwon, Jung-Han;Cha, Ju-Hwan;Ham, Seung-Ho;Ha, Sol;Park, Kwang-Phil
    • Journal of the Korea Society for Simulation
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    • v.19 no.1
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    • pp.13-22
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    • 2010
  • This paper describes tagline PD control for reduction of motion for the heavy cargo(load) suspended by a floating crane. The equations of motion are set up considering the 6-degree-of-freedom floating crane and the 6-degree-of-freedom load based on multi-body system dynamics. The tagline mechanism is applied to floating crane to control motion of the heavy cargo(load). The winch, mounted on the deck of floating crane, is used to control the tension of tagline. To generate control force, PD control algorithm is applied. Numerical simulation and experiment is executed to verify the tagline control mechanism. The numerical simulation and experiment shows that the tagline control mechanism reduces the motion of the load suspended by a floating crane.

William Blake and the Network of Knowledge: Centering on the Communication of Poetry and Science (윌리엄 블레이크와 지식의 네트워크 -시와 과학의 소통을 중심으로)

  • Lee, Sungbum
    • Journal of English Language & Literature
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    • v.58 no.4
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    • pp.723-752
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    • 2012
  • Although his mythic poetry deals with the fall and resurrection of Albion as the origin of humankind, William Blake (1757-1827) simultaneously links it to the professionalization and unification of disciplinary knowledge itself. He particularly takes a great interest in the cross-referential relation of poetry to science. He argues for the communication of poetry and science on equal footing with each other without the former's prioritization over the latter, or vice versa. In his works Vala, or The Four Zoas (1797-1807) and Jerusalem: The Emanation of the Giant Albion (1804-1820), on which I focus in this essay, Blake's primary problematic is to display strong conflicts among different systems of knowledge. I approach this issue in light of the ideological clash of Newtonian thought, Romantic thought, and postmodern thought. In his poetry, Blake thematizes the very clashes of these different thought patterns. From the standpoint of Romantic thought, first of all, Blake problematizes Newtonian Enlightenment. He criticizes abstract universalization both in poetry and science, which Urizen, one of four Zoas, propagates. Protesting against Urizen's Newtonism, Los values "living form." Thus, Blake demonstrates, through this figure, that poetic imagination and scientific organicism are discursively communicative. Blake, however, also questions the network of Romantic science and Romantic poetry so as to suggest what current critics would call postmodern thought. Blakean postmodernism pursues the self-similarity of organic structure in science and poetry. Precisely, Blake sees polypus as a proliferation of organic body; he arranges four Zoas' self-repetitive stories in a non-linear way. Blake aspires for the conflicting coexistence of different thought patterns.

Optimal Active-Control & Development of Optimization Algorithm for Reduction of Drag in Flow Problems(1) - Development of Optimization Algorithm and Techniques for Large-Scale and Highly Nonlinear Flow Problem (드래그 감소를 위한 유체의 최적 엑티브 제어 및 최적화 알고리즘의 개발(1) - 대용량, 비선헝 유체의 최적화를 위한 알고리즘 및 테크닉의 개발)

  • Bark, Jai-Hyeong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.5
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    • pp.661-669
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    • 2007
  • Eyer since the Prandtl's experiment in 1934 and X-21 airjet test in 1950 both attempting to reduce drag, it was found that controlling the velocities of surface for extremely fast-moving object in the air through suction or injection was highly effective and active method. To obtain the right amount of suction or injection, however, repetitive trial-and error parameter test has been still used up to now. This study started from an attempt to decide optimal amount of suction and injection of incompressible Navier-Stokes by employing optimization techniques. However, optimization with traditional methods are very limited, especially when Reynolds number gets high and many unexpected variables emerges. In earlier study, we have proposed an algorithm to solve this problem by using step by step method in analysis and introducing SQP method in optimization. In this study, we propose more effective and robust algorithm and techniques in solving flow optimization problem.

Study of a Mixed Finite Element Model for the Analysis of a Geometrically Nonlinear Plate (기하학적 비선형 판재 해석을 위한 혼합형 FE Model 연구)

  • Kim, Woo-Ram;Choi, Youn-Dae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.10
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    • pp.1427-1435
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    • 2010
  • A mixed finite element model was developed using the classical plate theory to analyze the nonlinear bending of a plate. The appropriate weight functions for the constraints integrated over the domain were determined by the Lagrange multiplier method by using the principle of minimum virtual energy; which provides the constitutive relations between force-like variables and strains. All of detail terms of element wise coefficient matrices and associate tangent matrices to be used in the Newton iterative method are presented. Then, the linear solutions of the current model and those of the traditional displacement model under the SS (simple support) boundary conditions were compared with the existing analytical solution. The post-processed images of the nonlinear results of the force-like variables are presented to show the continuity of the solutions at the joint of the element boundaries. Finally, the converged nonlinear finite element solutions of the current model are compared with those of existing traditional displacement model.

Internal Dose Assessment of Worker by Radioactive Aerosol Generated During Mechanical Cutting of Radioactive Concrete (원전 방사성 콘크리트 기계적 절단의 방사성 에어로졸에 대한 작업자 내부피폭선량 평가)

  • Park, Jihye;Yang, Wonseok;Chae, Nakkyu;Lee, Minho;Choi, Sungyeol
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.18 no.2
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    • pp.157-167
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    • 2020
  • Removing radioactive concrete is crucial in the decommissioning of nuclear power plants. However, this process generates radioactive aerosols, exposing workers to radiation. Although large amounts of radioactive concrete are generated during decommissioning, studies on the internal exposure of workers to radioactive aerosols generated from the cutting of radioactive concrete are very limited. In this study, therefore, we calculate the internal radiation doses of workers exposed to radioactive aerosols during activities such as drilling and cutting of radioactive concrete, using previous research data. The electrical-mobility-equivalent diameter measured in a previous study was converted to aerodynamic diameter using the Newton-Raphson method. Furthermore, the specific activity of each nuclide in radioactive concrete 10 years after nuclear power plants are shut down was calculated using the ORIGEN code. Eventually, we calculated the committed effective dose for each nuclide using the IMBA software. The maximum effective dose of 152Eu constituted 83.09% of the total dose; moreover, the five highest-ranked elements (152Eu, 154Eu, 60Co, 239Pu, 55Fe) constituted 99.63%. Therefore, we postulate that these major elements could be measured first for rapid radiation exposure management of workers involved in decommissioning of nuclear power plants, even if all radioactive elements in concrete are not considered.