• Title/Summary/Keyword: Circle model

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Understanding Turing and Kierkegaard through a Mathematical Model (튜링과 키에르케고어: 수학적 모델을 통한 이해)

  • Park, Chang Kyun
    • Journal for History of Mathematics
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    • v.27 no.2
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    • pp.139-152
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    • 2014
  • This paper aims to compare and contrast Kierkegaard and Turing, whose birth dates were one hundred years apart, analyzing them from the perspective of the limit. The model of analysis is two concentric circles and movement in them and on the boundary of outer circle. In the model, Kierkegaard's existential stages have 1:1 correspondences: aesthetic stage, ethical stage, religious stage A and religious stage B correspond to inside of the inner circle, outside of the inner circle, the boundary of the outer circle and the outside of the outer circle, respectively. This paper claims that Turing belongs to inside of the outer circle and moves to the center while Kierkegaard belongs to outside of the outer circle and moves to the infinity. Both of them have movement of potential infinity but their directions are opposite.

An explicit approximation of the central angle for the curved interface in double-circle model for horizontal two-phase stratified flow

  • Taehwan Ahn;Dongwon Jeong;Jin-Yeong Bak;Jae Jun Jeong;Byongjo Yun
    • Nuclear Engineering and Technology
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    • v.56 no.8
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    • pp.3139-3143
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    • 2024
  • Stratified flow in horizontal tubes is frequently observed in gas-liquid two-phase flow system. In the two-fluid modeling, it is important to define the interface shape in solving the balance equations to determine the key parameters such as the interfacial transfer terms, void fraction, and pressure drop. A double-circle model is usually introduced to depict the concave-down interface in a horizontal circular tube under the stratified-wavy flow condition. However, calculation of the central angle in the double-circle model, which represents the interfacial curvature, requires an appropriate iterative numerical root-finding scheme to solve the implicit transcendental equation. In this study, an explicit approximate equation has been proposed without requirement of the iterative scheme and numerical instability, which is expected to improve the coding process and computation efficiency in the analysis code with the two-fluid model.

A study on the hydrodynamic forces acting on a GT 4,000 tonnage fishery training vessel in the proximity of semi-circle bank wall (반원 형상의 측벽 부근을 항행하는 4,000톤급 어업실습선에 미치는 유체력에 관한 연구)

  • Chun-Ki LEE;Kyung-Jin RYU;Yoo-Won LEE;Su-Hyung KIM
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.59 no.4
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    • pp.336-343
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    • 2023
  • The aging fishery training vessels from the past have mostly been decommissioned, and many universities are introducing state-of-the-art large fishery training vessels. The purpose of these training vessels is to train marine professionals and above all, safety to prevent marine accidents should be of utmost priority as many students embark on the vessel. This study estimated the impact of the hydrodynamic interaction forces acting on the model vessel (fishery training vessel) from the bank when the vessel pass near the semi-circle bank wall in various conditions through the numerical calculation, especially concerning maneuvering motions of the vessel. For estimation, variables were mainly set as the size of the semi-circle shape, the lateral distance between the bank and the model vessel, and the depth near the bank. As a result, it was estimated that, in order for the model vessel to safely pass the semi-circle bank wall at a speed of 4 knots, the water depth to the vessel draft ratio should be 1.5 or more (approximately 8 m of water depth), and the lateral distance from the semi-circle bank wall should be 0.4 times the model vessel's length (Lpp) or more (a distance of 34 m or more). Under these conditions, it was expected that the model vessel would pass without significantly being affected by the bank wall.

A Study on the Direction finding of Drones Using Apollonius Circle Technique (Apollonius Circle 기법을 활용한 드론 방향탐지 연구)

  • Choi, Hong-Rak;Jeong, Won-Ho;Kim, Kyung-Seok
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.18 no.3
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    • pp.83-92
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    • 2018
  • This paper uses the Apollonius Circle technique to estimate the position of a target that generates a specific signal by using a drone, which is rapidly becoming a rapidly expanding industry. The existing direction finding method is performed through the vehicle on the ground or installed the antenna at a high position to detect the position of the target. However, the conventional direction finding method is difficult to configure the reception environment of the LOS signal, It is difficult. However, the direction finding using the drone is easy to construct and measure the LOS signal receiving environment using the drone flying at high altitude. In this study, we use the 3D 800MHz Path-Loss Model to reconstruct the signal by using the measurement data of the ground direction finding, reconstruct the signal by using the 3-D 800MHz Path-Loss Model, and use the Apollonius Circle method to estimate the position of the target. A simulation was performed to estimate the position of the target. Simulation was performed to determine the target position estimation performance by configuring the ground direction finding and the dron direction finding.

An Evolution Model of Rumor Spreading Based on WeChat Social Circle

  • Wang, Lubang;Guo, Yue
    • Journal of Information Processing Systems
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    • v.15 no.6
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    • pp.1422-1437
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    • 2019
  • With the rapid development of the Internet and the Mobile Internet, social communication based on the network has become a life style for many people. WeChat is an online social platform, for about one billion users, therefore, it is meaningful to study the spreading and evolution mechanism of the rumor on the WeChat social circle. The Rumor was injected into the WeChat social circle by certain individuals, and the communication and the evolution occur among the nodes within the circle; after the refuting-rumor-information injected into the circle, subsequently,the density of four types of nodes, including the Susceptible, the Latent, the Infective, and the Recovery changes, which results in evolving the WeChat social circle system. In the study, the evolution characteristics of the four node types are analyzed, through construction of the evolution equation. The evolution process of the rumor injection and the refuting-rumor-information injection is simulated through the structure of the virtual social network, and the evolution laws of the four states are depicted by figures. The significant results from this study suggest that the spreading and evolving of the rumors are closely related to the nodes degree on the WeChat social circle.

A Mediation Model between Logo and DGS (Logo와 DGS의 매개 모델과 오류 사례)

  • Kim, Hwa-Kyung;Song, Min-Ho
    • Journal of Educational Research in Mathematics
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    • v.17 no.2
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    • pp.111-125
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    • 2007
  • In this article, we introduce an example about 'computers and mathematics education' and discuss its educational meaning. First, we survey two microworlds of Logo and DGS, which are two different representation systems for geometric phenomena. And we propose needs of connecting two microworlds with common perspective. And we suggest a mediation model that connects two representations in a microworld. Using this mediation model(Circle model), we construct a circle, a ellipse, and a cardioid with two different representations. It is important that the mediation model makes it possible that we translate descriptions from one representation into the other, and guess perimeters of planar curves. We also discuss roles and mathematical implications of this mediation model by error case in calculating perimeters of ellipses.

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The Use of Concept Circle Maps in Science Teaching of Elementary School (초등학교 과학수업에서 개념원도의 활용)

  • Koo, Duk-Gil;Lee, Yu-Mi;Bae, Young-Boo
    • Journal of the Korean earth science society
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    • v.24 no.7
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    • pp.595-603
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    • 2003
  • The study investigated the effect of a social constructivist model on changes of concept on 103 4th graders in three elementary schools. In particular, it analyzed whether the application of a concept circle map developed student understanding of the concept. After a one month study period, the 103 students took a pencil and paper test on changes of concepts learned. The results indicated that the social constructivist model positively influenced student concept development. In conclusion, a concept circle map used on a social constructivist model may be employed as a tool for diagnostic or formative evaluation.

Process Integration for Problem Solving in Quality Control Circles (품질개선팀의 문제해결 프로세스 통합 연구)

  • Lim Sunk-Uk
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.2
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    • pp.36-45
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    • 2005
  • This paper aims to investigate and analyze the process solving problems with activities of Quality Control Circle, carried out on a small scale, among various activities of industrial fields. Then this paper intends to provide and integrated model through integrating each process into one. In addition, this paper also aims to enhance the efficiency of the suggested model by realizing the model through support system.

Study on Estimation of Equivalent Circle of Plastic Board Drain (PBD의 유효등가경 평가에 관한 연구)

  • You, Seung-Kyong;Lee, Choong-Ho;Yoon, Gil-Lim;Kim, Byung-Tak
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.10a
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    • pp.490-496
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    • 2006
  • In order to design accurately plastic board drain (PBB) method, it is important to determine the equivalent circle of PBD. In this paper, a series of numerical analyses on soft ground improved by PBD were carried out, in order to investigate the resonable equivalent circle of PBD considering consolidation behavior of improved soft ground by PBD. The applicability of numerical analyses, in which an elasto-viscoplastic three-dimensional consolidation finite element method was applied, could be confirmed comparing with results of a series of model tests on consolidation behaviors of soft ground improved by PBD. And, through the results of the numerical analyses, consolidation behaviors of soft ground during consolidation was elucidated, together with the equivalent circle of PBD considering consolidation behaviors.

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A Study on RP Part Production Using Intersecting Circle Approximation Method (교차다각형법에 의한 원 근사 방법을 적용한 RP Part 제작에 관한 연구)

  • 신근하
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.9 no.1
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    • pp.68-74
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    • 2000
  • The STL file format is an approximation of 3-D model with triangular facets. STL is a standard input file format of Rapid Prototyping(RP) equipment In computer graphics a circle has been approximated with an inscribed polygon which causes an error between the real and approximated circles. In this study an intersecting polygon has been used to approximate the circle and applied to produce more accurate RP part. The newly proposed method shows it's excellence in part accuracy.

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