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The Excess and Deficit Rule and The Rule of False Position (동양의 영부족술과 서양의 가정법)

  • Chang Hyewon
    • Journal for History of Mathematics
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    • v.18 no.1
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    • pp.33-48
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    • 2005
  • The Rule of False Position is known as an arithmetical solution of algebraical equations. On the other hand, the Excess-Deficit Rule is an algorithm for calculating about excessive or deficient quantitative relations, which is found in the ancient eastern mathematical books, including the nine chapters on the mathematical arts. It is usually said that the origin of the Rule of False Position is the Excess-Deficit Rule in ancient Chinese mathematics. In relation to these facts, we pose two questions: - As many authors explain, the excess-deficit rule is a solution of simultaneous linear equations? - Which relation is there between the two rules explicitly? To answer these Questions, we consider the Rule of Single/Double False Position and research the Excess-Deficit Rule in some ancient mathematical books of Chosun Dynasty that was heavily affected by Chinese mathematics. And we pursue their historical traces in Egypt, Arab and Europe. As a result, we can make sure of the status of the Excess-Deficit Rule differing from the Rectangular Arrays(the solution of simultaneous linear equations) and identify the relation of the two rules: the application of the Excess-Deficit Rule including supposition in ancient Chinese mathematics corresponds to the Rule of Double False Position in western mathematics. In addition, we try to appreciate didactical value of the Rule of False Position which is apt to be considered as a historical by-product.

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The Characteristics of Unconfined Hydrogen Diffusion Flames in Supersonic Air Flows (초음속 공기 유동장에서의 수소 확산 화염 특성에 대한 연구)

  • 김제흥;심재헌;김지호;윤영빈
    • Journal of the Korean Society of Propulsion Engineers
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    • v.4 no.4
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    • pp.78-86
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    • 2000
  • The objective of this research is to understand the characteristics of a nonpremixed, turbulent, hydrogen jet flame which is stabilized in Mach 1.8 coflowing air flows. In order to investigate the flame structure, flame lengths and fuel trajectories were measured by using direct photography, acetone PLIF, Mie scattering techniques, and numerical simulation. Effect of increasing air velocity was investigated when fuel velocity is fixed. The subsonic flame length was decreased drastically, however the supersonic flame length was increased slowly Then the change of flame blow out characteristics was observed as varying fuel nozzle lip thickness. The flame stability can be increased when fuel nozzle lip thickness was increased, which indicates that the minimum fuel lip thickness ratio is required for the stable supersonic flames. Also, it is found that fuel jet is blocked by high pressure zone and low scattering zone is made. Then the fuel that was moving along the recirculation zone had longer residence time within the supersonic flames, which made partially premixed zone.

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A Historical Study on the Mime in Chinese Theater (중국 마임에 대한 역사적 고찰)

  • An, Sang-Bok
    • (The) Research of the performance art and culture
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    • no.18
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    • pp.201-221
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    • 2009
  • This paper is a historical study on mime or pantomime in the chinese theater. What is the origin of chinese mime? This is a very difficult question to answer. But I thought its early model can be found in actions of ancient actors who are believed to precede any genre of theater and actually I could found a very significant proof in historical records which have been ignored generally. It is an episode of Youmeng(優孟) in Chu(楚) dynasty. According to this episode, the history of chinese mime has lasted at least over 2600 years. In my opinion, chinese mime had been organized in ritual genre in early theater and its development had been mostly based on the jiaosehangdang-system(脚色行當制). Most chengshi-movements(程式動作) of zuo(做) and da(打) have been organized in recent several centuries. But a further study on them shows us that the real origin of them is the ancient dance wu(舞). Afterwards the wu(舞) separated into two types of dance the so-called wenwu(文舞) and wuwu(武舞). So we can say that wenwu(文舞) and wuwu(武舞) had a direct influence on most chengshi-movements(程式動作) of zuo(做) and da(打).

College Nursing Students' Experiences of COVID-19 Pandemic (간호대학생의 코로나바이러스감염증-19 확산 경험)

  • Lee, Grace Changkeum;Ahn, Junhee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.12
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    • pp.142-152
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    • 2020
  • This study explores experiences of college nursing students during the COVID-19 pandemic. The participants were 10 college nursing students (junior and senior years) enrolled in a university in K city. Data were collected through in-depth interviews from May 1 to June 30, 2020. The phenomenological methodology proposed by Colaizzi was applied for data analysis. We identified a total of 6 theme clusters: increased fear of an infection, feeling isolated due to the changed way of life, feeling perplexed about unexpected circumstances, inability to adapt to the sudden change in classroom instruction, feeling burdened about clinical practice, and confronting the reality as a preliminary nurse. The analyzed data revealed that subjects had numerous experiences about COVID-19. We believe there were necessity and significance to conduct this study during the ongoing COVID-19 pandemic. This analysis can serve as a useful resource for discussing issues related to nursing education in the post COVID-19 era.

GPU-based Parallel Ant Colony System for Traveling Salesman Problem

  • Rhee, Yunseok
    • Journal of the Korea Society of Computer and Information
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    • v.27 no.2
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    • pp.1-8
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    • 2022
  • In this paper, we design and implement a GPU-based parallel algorithm to effectively solve the traveling salesman problem through an ant color system. The repetition process of generating hundreds or thousands of tours simultaneously in TSP utilizes GPU's task-level parallelism, and the update process of pheromone trails data actively exploits data parallelism by 32x32 thread blocks. In particular, through simultaneous memory access of multiple threads, the coalesced accesses on continuous memory addresses and concurrent accesses on shared memory are supported. This experiment used 127 to 1002 city data provided by TSPLIB, and compared the performance of sequential and parallel algorithms by using Intel Core i9-9900K CPU and Nvidia Titan RTX system. Performance improvement by GPU parallelization shows speedup of about 10.13 to 11.37 times.

Implementation of Tactical Path-finding Integrated with Weight Learning (가중치 학습과 결합된 전술적 경로 찾기의 구현)

  • Yu, Kyeon-Ah
    • Journal of the Korea Society for Simulation
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    • v.19 no.2
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    • pp.91-98
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    • 2010
  • Conventional path-finding has focused on finding short collision-free paths. However, as computer games become more sophisticated, it is required to take tactical information like ambush points or lines of enemy sight into account. One way to make this information have an effect on path-finding is to represent a heuristic function of a search algorithm as a weighted sum of tactics. In this paper we consider the problem of learning heuristic to optimize path-finding based on given tactical information. What is meant by learning is to produce a good weight vector for a heuristic function. Training examples for learning are given by a game level-designer and will be compared with search results in every search level to update weights. This paper proposes a learning algorithm integrated with search for tactical path-finding. The perceptron-like method for updating weights is described and a simulation tool for implementing these is presented. A level-designer can mark desired paths according to characters' properties in the heuristic learning tool and then it uses them as training examples to learn weights and shows traces of paths changing along with weight learning.

A study on Data Service for Travel Programs based on the Broadcasting Environment of Domestic Satellite Broadcaster (국내 위성방송사의 방송 환경을 기반한 여행 프로그램 데이터서비스에 관한 연구)

  • Kwangil KO
    • Convergence Security Journal
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    • v.23 no.3
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    • pp.57-64
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    • 2023
  • Due to the COVID-19 pandemic, the broadcasting industry has been greatly affected, to the extent that the footprint of travel programs has disappeared. Although travel programs have been back on the air since 2022, there remains a task of recovering the stagnant desire for travel. Based on a study that travel programs have a positive impact on viewers' travel intentions, this study examined a data service that provides preferred additional information on travel programs, considering the broadcasting environment of satellite broadcasters that transmit multiple travel programs through various channels. Specifically, preferred additional information was investigated for travel programs of various genres and formats, and a feature model based on FODA was designed to be used when the satellite broadcaster decides the data service configuration. In addition, the necessary information for operating the data service was defined based on the feature model, and a method of transmitting it using the DVB-S SI, a domestic satellite broadcasting standard, was devised. The feasibility of this study was also confirmed using a DVB-MHP based data service prototype.

A Study on Underwater Source Localization Using the Wideband Interference Pattern Matching (수중에서 광대역 간섭 패턴 정합을 이용한 음원의 위치 추정 연구)

  • Chun, Seung-Yong;Kim, Se-Young;Kim, Ki-Man
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.8
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    • pp.415-425
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    • 2007
  • This paper proposes a method of underwater source localization using the wideband interference patterns matching. By matching two interference patterns in the spectrogram, it is estimated a ratio of the range from source to sensor5, and then this ratio is applied to the Apollonius circle. The Apollonius circle is defined as the locus of all points whose distances from two fixed points are in a constant value so that it is possible to represent the locus of potential source location. The Apollonius circle alone, however still keeps the ambiguity against the correct source location. Therefore another equation is necessary to estimate the unique locus of the source location. By estimating time differences of signal arrivals between source and sensors, the hyperbola equation is used to get the cross point of the two equations, where the point being assumed to be the source position. Simulations are performed to get performances of the proposed algorithm. Also, comparisons with real sea experiment data are made to prove applicability of the algorithm in real environment. The results show that the proposed algorithm successfully estimates the source position within an error bound of 10%.

Robust Search Method for Ship Wake Using Two Wake Sensors (두 개의 항적 센서를 이용한 수상 항적 탐색 방법)

  • Lee, Young-Hyun;Ku, Bon-Hwa;Chung, Suk-Moon;Hong, Woo-Young;Ko, Han-Seok
    • The Journal of the Acoustical Society of Korea
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    • v.29 no.3
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    • pp.155-164
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    • 2010
  • This paper proposes a robust detection method for ship wake search using two wake sensors. A long trailing wake in the rear of a surface ship is generated along the track of surface ships. In this paper, we assume that the nearer the surface ship, the stronger wake strength is and a two-sensor based wake homing torpedo can sense for the wake strength. On this assumption we propose a simple wake detection and search method using information of wake strength. Experimental results using monte-carlo simulation demonstrate that the proposed method yields better performance in search time than previous method, which uses a single sensor. Our method is shown faster by about 45 seconds than previous method to achieve the same performance. Also, it can improve the detection performance of torpedo in the case of short wake length.

Screening of the Optimum Filter Media in the Constructed Wetland Systems through Phosphorus Adsorption Capacities (인의 흡착능 평가를 통한 인공습지 하수처리 시스템의 여재 선발)

  • Lee, Hong-Jae;Seo, Dong-Cheol;Cho, Ju-Sik;Heo, Jong-Soo
    • Korean Journal of Environmental Agriculture
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    • v.22 no.2
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    • pp.148-152
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    • 2003
  • The phosphorus(P) adsorption capacities of various filter media were investigated in relation to the size and types of fitter media to screen the optimum condition. The objective of this study was to evaluate the constructed wetland longevity by improving P adsorption capacity. The maximum P adsorption capacities of filter media A($4{\sim}10\;mm$), B($2{\sim}4\;mm$) and C($0.1{\sim}2\;mm$) were 8, 10 and 22 mg/kg, respectively, showing those increased as the filter media size decreased. Among the experimental media, the optimum filter media size was $0.1{\sim}2\;mm$. When the filter Medium was supplemented with organic materials which were piled up and decayed in the constructed wetland, the P adsorption capacity was significantly enhanced Under the conditions of optimum fitter media size, the respective Maximum P adsorption capacities of filter media C when supplemented with Ca, Mg, Al and Fe were higher than that of filter media C. However the addition of Ca, Mg, Al and Fe to constructed wetland were not recommended because of the possibility of their secondary pollution. The maximum P adsorption capacity of filter media C was 22 mg/kg, but this was increased to 36 mg/kg when filter media C was supplemented with 2% oyster shell.