• Title/Summary/Keyword: 영부족술

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AN ANALYSIS OF RECENT RESEARCH ON THE METHOD OF EXCESS AND DEFICIT (Ying NÜ and Ying Buzu Shu) (영뉵(盈朒)과 영부족술(盈不足術)에 관한 최근 동서양의 연구 분석)

  • Lee, Sang-Gu;Lee, Jae Hwa
    • Korean Journal of Mathematics
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    • v.20 no.1
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    • pp.137-159
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    • 2012
  • In this paper, we deal with recent researches on Ying N$\ddot{u}$ and Ying Buzu(盈不足) which were addressed in the book Jiu Zhang Suan Shu(九章算術, The Nine Chapters on the Mathematical Art). Ying N$\ddot{u}$(Ying Buzu) is a concept on profit and loss problems. Ying Buzu Shu(盈不足術, the method of excess and deficit) represents an algorithm which has been used for solving many mathematical problems. It is known as a rule of double false position in the West. We show the importance of Ying Buzu Shu via an analysis of some problems in 'Ying Buzu' chapter. In 1202, Fibonacci(c.1170-c.1250) used Ying Buzu Shu in his book. This shows some of Asian mathematics were introduced to the West even before the year 1200. We present the origin of Ying Buzu Shu, and its relationship with Cramer's Rule. We have discovered how Asia's Ying Buzu Shu spread to Europe via Arab countries. In addition, we analyze some characters of Ying N$\ddot{u}$(Ying Buzu) in the book Suan Xue Bao Jian(算學寶鑑).

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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Analysis on Gu-il-jip, the mathematical book of Chosun dynasty and its pedagogical applications (조선시대의 산학서 <구일집>의 내용 분석 및 교육적 활용 방안 탐구)

  • 장혜원
    • Journal of Educational Research in Mathematics
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    • v.13 no.4
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    • pp.429-446
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    • 2003
  • Gu-il-jip is a mathematical book of Chosun dynasty in the 18c. It consists of nine chapters including more than 473 problems and their solutions. Analyzing the problems and their solutions, we can appreciate the mathematical researches by the professional mathematicians of Chosun. Especially, it is worth noting the followings: - units for measuring and decimal notations - $\pi$, area of circle, volume of sphere - naming the powers - counting rods - excess and deficit: calculation technique for excess-deficit relations among quantities - rectangular arrays: calculation technique for simultaneous linear equations - 'Thien Yuan' notation: method for representing equations - 'Khai Fang': algorithm for numerical solution of quadratic, cubic and higher equations Based on these analyses, some pedagogical applications are proposed.

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The Excess and Deficit Rule in the second volume of San Hak Jeong Ui (산학정의 중편에 나타난 조선시대 영부족술에 대한 고찰)

  • Cho, Jin Hyub;Nam, Young Man
    • East Asian mathematical journal
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    • v.29 no.2
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    • pp.241-254
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    • 2013
  • In this paper, we investigate the contents of Rule of Excess and Deficit in the second volume of San Hak Jeong Ui (Arithmetic Definition) compiled by Nam Byong Kil and corrcted by Lee Sang Hyok in the Choson Dynasty period.(Emperor Ko Jong, 1867).

자율운항선박 선박 운용 핵심기술 ISO 국제표준 개발에 대한 고찰

  • 전주영;김명진;전보미;임정빈
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2023.05a
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    • pp.198-199
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    • 2023
  • 자율운항선박 (Maritime Autonomous Surface Ship, MASS) 관련 기술이 전 세계적으로 활발히 개발되고 있는 가운데, 이러한 신기술을 검증하기 위해 국제표준 개발의 필요성이 증대하고 있다. 현재 ISO TC8(선박 및 해양기술) 분과에서 개발중이거나 제정된 표준 분석을 진행하였다. 3가지 카테고리로 분류하였을 때, 카테고리 3 - 세부 장비/어플리케이션에 대해 개발된 표준의 수가 카테고리 1 - 일반적인 가이드라인 및 기능적 요구사항에 대한 표준과 카테고리 1의 기능적 요구 사항을 만족하는 기술적 솔루션 레퍼런스인 기술적 솔루션 표준은 부족한 실정이다. 우선순위 도출을 통하여 카테고리 2 분야의 표준화 아이템을 도출하였고, 이를 기반으로 수립한 국제표준화 추진전략 및 계획을 소개할 예정이다.

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Noninvasive Evaluation of Coronary Artery Bypass Graft Patency by Electron Beam Tomography (전자선 단층 촬영을 이용한 관상동맥 우회로 개존의 비침습적 평가)

  • 최규옥;김호석;조범구
    • Journal of Chest Surgery
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    • v.32 no.8
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    • pp.693-701
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    • 1999
  • Recently non-invasive diagnostic imaging replaced the invasive catheter angiography in the diagnosis of vascular disease. Catheter methods are now almost confined to the purpose of intervention. Coronary artery or coronary artery bypass graft still needs catheter technique because of small diameter and the cardiac motion. The last challenge for radiologists in this domain is to obtain a non-invasive imaging. Electron beam tomography(EBT) for high temporal resolution is able to obtain a coronary arteriogram or coronary artery bypass graft (CABG), of which CABG imaging is quite useful for the evaluation of patency. In our experience as well as others, the accuracy of EBT angiogram in evaluating CABG patency revealed that the accuracy of patency of saphenous vein grafts(SVG) is high due to relatively wide lumen, short and straight course and less influence from cardiac motion. The sensitivity and specificity of patency of SVGs were 92%, 97% respectively in the prospective evaluat on and 100% each in the retrospective evaluation. A false positive and a false negative case are rudimentary errors in the initial learing period. In contrast the analysis of left internal mammary artery(LIMA) graft was difficult due to the inherent small size and the adjacent surgical clips provoking beam-hardening artifact; therefore, the method of combining 3 dimensional reconstruction and flow mode study was important in improving the accuracy of LIMA patency. The sensitivity and specificity of LIMA patency were 100% and 80% in both prospective and retrospective evaluation. Therefore, EBT angiography is an accurate non-invasive diagnostic modality for evaluating the patency of CABG, particularly in SVGs. The accuracy can be improved with the improvement of the EBT and the development of the image reconstruction software.

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Analysis of the Perception of Autonomous Vehicles Using Text Mining Technique (텍스트 마이닝 기법을 활용한 자율주행자동차 인식분석연구)

  • Im, I-Jeong;Song, Jae-In;Lee, Ja-Young;Hwang, Kee-Yeon
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.16 no.6
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    • pp.231-243
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    • 2017
  • The purpose of this study is to improve the social acceptance of AVs by analyzing the citizen's perception using an emotional analysis technique which belongs to a type of text mining. The source of the data is originated from 3 year accumulated internet articles and comments on AV from 164 newspapers and Naver. According to the study results, there exists a positive perception on AVs, although negative ones are more frequent than the positive. Also most of people take neutral position on AV due to the unfamiliarity and lack of experience on AVs And these problems needs to be responded before AV's commercialization through continuous analyses on the perception and social acceptance.

Coronary Artery Bypass Surgery with Radial Artery -Early Results (요골동맥을 이용한 관상동맥우회술 -조기성적)

  • 나찬영;이영탁;박국양;이해영;김욱성;박?현;홍민수;심재천;권오춘
    • Journal of Chest Surgery
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    • v.30 no.3
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    • pp.275-281
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    • 1997
  • The radial artery as a graft for myocardial revascularization was introduced by Carpentier in the early 1970s. Mid-term results were unfortunately discoura ing, and the clinical experience with this graft was interrupted. At the end of the 1980s, these authors reproposed the same arterial conduit with more satisfying results, because of improved technique and pharmacological management of the graft. Between October 1994 and July 1995, 36 patients underwent myocardial revascularization with a radial artery graft in Seiong General Hospital. Left internal mammary artery was concomitantly used as a pedicled Vift in 34 patients. Fifteen patients (42%) had a complete arterial waft revascularization. A total of 12) distal anastomoses were performed (average 3.4 per patient), including 36 left internal mammary artery wafts (two sequential in 2 patients), and 23 saphenous vein grafts. The remaining 64 distal anastomoses were perFormed with radial artery grafts (mean 1.8 per patient). The radial arteries were anastomosed to the circumflex (n=38), diagonal (n= 18), right coronary(n=G), and left anterior descending coronary artery(n=2). The percent ge of radial artery graft anastomoses (64) to the total anastomoses(123) was 52%. The radial artery was used as a single graft in 10 patients, as a sequential graft in 25 patients, and two grafts in 1 patient. Twenty patients underwent associated procedures coronary endarterectomy (14), coronary artery patch angioplasty (4), mitral valve repair (1), and repair of ventricular septal rupture (1). One patient died of low cardiac output syndrome and the others had no perioperative myocardial infarction. There are no ischemic and functional complications in the arm or hand aftcr removal of the radial artery. Only 1 patient required reexploration of the am, for the hematoma evacuation, and 2 patients complained transient thumb dysesthesia of the side of the havested arm. This dysesthesia improved within one month. Postoperative angiovaphic controls were obtained in 11 patients(31%) postoperative 79 to 210 days (mean 126 days). The patency rate were as follows : left internal mammary artery (100%), saphcnous vein (100%), and radial artery(95%). We concluded that the radial artery is useful alternative graft, but long term clinical and angiographic studies are required to derterminc whether wider application is warranted.

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Histopathological Changes in Cold-Stored Dog Lungs to the Preservation Solutions (냉한에서 보관된 황견의 폐에서 장기 보존액에 따른 조직 세포의 변화)

  • 김해균;이두연
    • Journal of Chest Surgery
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    • v.29 no.8
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    • pp.816-821
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    • 1996
  • Lung transplantation is the established treatment for the end stage lung disedse find preservation of the organ is a major obstacle In performing lung transplantation. For solving this problem, we evaluated the histopathologic changes for various preservation solutions. Male mongrel dogs of similar size and weight (15∼20 kg) were used. The dog lungs were flushed with 4fl normal saline(group 1 'n:5): Modified Euro-Collins solution(group 2 n:5) and University of Wisconsin solution (group 3 : n=6), 60m11kg through a catheter placed in the main pulmonary artery aft r flushing of PGE 1 (20ng1kg). The lungs were preserved for 60 hours and measured dry and wet weights. Histologic specimens were taken every 6 hours and %toed for light microscopic evaluation. The edema ratio of the lungs peaked in 12 hours although there was no difference between the groups. Histologically, alveolar septal changes developed in one case (20%) after 1 hour preservation with normal saline. In case of the University of Wisconsin solution, the alveolar septal distortions and swellings were seen in 1 cases (20%) after 6 hours preservation compared with 3 cases (60%) after 6 hours preservation with Modified Euro-Collins solution. Changes of the pneumocytes were observed after 24 hours preser- vation in group 1, after 48 hours preservation in group 2 and after 60 hours preservation in group 3. We conclude that University of Wisconsin solution might have a superior preservation effect compare to normal saline and Modified Euro-Collins solutions.

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Survival and Compliance with the Use of Radiation Therapy for Anaplastic Thyroid Carcinoma (미분화 갑상선암에서 방사선치료 순응도와 생존기간)

  • Oh, Yoon-Kyeong;Jang, Ji-Young;Chung, Woong-Ki
    • Radiation Oncology Journal
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    • v.26 no.4
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    • pp.229-236
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    • 2008
  • Purpose: The purpose of this study was to evaluate the impact of the use of external radiation therapy (ERT) in terms of survival and compliance in patients with anaplastic thyroid carcinoma. Materials and Methods: The medical records of 17 patients with anaplastic thyroid carcinoma treated with ERT between 1993 and 2002 were retrospectively reviewed. ERT was administered after surgery in 14 patients and after a biopsy in three patients. Among the 14 patients who had undergone surgery, nine underwent a curative resection and five underwent a palliative resection. Six patients had associated well-differentiated thyroid carcinomas and 14 patients were diagnosed with a tumor size exceeding 5 cm. The radiation dose ranged from $6{\sim}70\;Gy$ (median dose, 37.5 Gy). Eleven patients completed the planned course of ERT, whereas six patients did not. The follow-up period ranged from $1{\sim}104$ months (median, 5 months; mean, 20 months). Results: Five patients started the ERT without the presence of a gross mass and all of the patients competed ERT without a re-growth of tumor. Twelve patients (four patients after a curative resection, five patients after a palliative resection and three patients after a biopsy) started ERT with a gross mass present and only six patients were able to complete the planned course of ERT. Among the six patients who completed ERT, two patients showed a marked regression of the tumor mass, whereas two patients showed slight regression and two patients showed no response. The median survival was five months (range, $1{\sim}104$ months) and the mean survival was 21 months. The overall survival was 41% at 1-year, 24% at 2-years and 12% at 5-years. Significant prognostic factors included the number of primary tumors present, tumor size, whether surgery was performed and completion of ERT as planned. Long-term survivors showed a tendency of having smaller sized initial tumors and smaller sized pre-ERT tumors than the short-term survivors. Conclusion: This study suggests that patients with a small initial tumor (${\leq}5\;cm$), which was treated by surgery (curative resection or palliative resection) before ERT, and without rapid re-growth of the mass seen at the surgical site at the beginning of the ERT course, would be the best candidates for postoperative ERT. In contrast, patients with a large initial tumor (>5 cm) and did not undergo surgery before ERT or that rapid re-growth of the mass was observed at the surgical site are likely to have a short survival time, along with the interruption of ERT. In these cases, the role of ERT is very limited and the omission of ERT could be considered.