• Title/Summary/Keyword: Oriental Mathematics

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Tri-origin Structure of Korean Traditional Medicine System (한의학 체계의 삼원적 구조)

  • Kim, Byoung-Soo;Kang, Jung-Soo
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.22 no.3
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    • pp.528-534
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    • 2008
  • It has been known that Tri-origin theory could describe pertinently the dynamic phenomena of life. From the viewpoint of the asian image-mathematics, the most representative Tri-origin could be Four Images, Five Phases, and Six Qi(six kinds of weather). In Korean traditional medicine, Tri-origin could be meridian system, Jangbu viscera system, and body essence vital energy mentality blood system. Here we reasoned whether asian image-mathematics could be applicable to Korean traditional medicine system, and as a conclusion ; Meridian system belongs to Six Qi, Jangbu viscera system belongs to Five Phases, and body essence vital energy mentality blood system belongs to Four Images.

Asian Image-mathematics System from the Viewpoint of Three Category (삼원적 구조로 본 상수역학 체계;사상(四象)${\cdot}$오행(五行)${\cdot}$육기(六氣)를 중심으로)

  • Kim, Byoung-Soo
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.21 no.5
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    • pp.1065-1071
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    • 2007
  • It has been known that Asian Medicine theory are based on yin and yang & Five Phases. but recently many therapist using asian medicine in Korea or another nations, take up the position that it is not inevitable for them to adopt the theory of yin-and-yang & Five Phases when they cure a patient. but the point of this view suggests they can not understand totally the real theory about yin-and-yang & Five Phases. asian image-mathematics based on I-Ching could analysis all things with the natural number. the kernel of understanding on principle of I-Ching is realizing that the standard should be changed in some conditions and the form of cosmos should change endless. the system of all thing under sun is divided in three parts on the asian image-mathematics. the nature number from one to nine is divided in three categories that are grouped as 123, 456, 789. So, if we want to understand Five Phases theory, we suggest that it is useful to know the organic connected relations among Four Images, Five Phases, Six Qi(six kinds of weather). the aim of this paper is to arrive at understanding of profound learning on image-mathematics throughout the number of 4, 5, 6 in the concrete context.

An Analysis of the Contents and Expression Methods of Jeong Yag-yong's 『Gugo Wonlyu』 (정약용의 『구고원류』의 내용과 표현방법 분석)

  • Lee, Kyung Eon
    • Journal for History of Mathematics
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    • v.29 no.1
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    • pp.1-16
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    • 2016
  • This study analyzes the contents and expression methods of Jeong Yag-yong's "Gugo Wonlyu". The 530-page long "Gugo Wonlyu" discusses 1541 formulas about Gu, Go, Hyun, Hwa, Gyo; however, it has only the results of formulas and no explanations about their inducement method. Therefore we do not know how he derives and verifies the formulas. In addition, it did not follow the basic form of oriental mathematics textbooks: problem-answer-solution, and presented all the formulas only with characters without using numbers. This is a very distinctive aspect compared to other mathematical textbooks. In addition, the formulas about 5-Hwa and 5-Gyo are addressed exactly in fixed order and covers a formula in various directions. This is a clear evidence that Jeong Yag-yong analyzed and studied the Gugosul thoroughly.

A protective effect of the methanol extract of Shelliguea feei METT. roots on gastric ulcers in mice and rats

  • Subarnas, Anas;Herdiana, Yana;Sriwidodo, Sriwidodo;Dianti, Ajeng
    • Advances in Traditional Medicine
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    • v.4 no.4
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    • pp.243-247
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    • 2004
  • A protective effect of the methanol extract of Shelliguea feei METT. roots on gastric lesions induced by stress in mice and HCl/ethanol in rats has been investigated. Animals were randomly divided into control and test groups and given the methanol extract orally at doses of 0.5, 1.0, and 2.0 g/kg of body weight. This investigation indicated that the methanol extract at doses of 1.0 and 2.0 g/kg significantly reduced stress-induced gastric lesions in mice at the percent protection of 38% and 62%, respectively, and decreased the number of HCI/ethanol-induced ulcers in rats significantly at the percent inhibition of 21.50% and 90.65%, respectively, and severity of ulcers at the score of 3.6 and 1.0 significantly different from the control. These results suggest that the methanol extract of S. feei may have a beneficial protective effect on the gastric ulcers.

A Study on Historical and Cultural Viewpoints of Traditional Measuring Units Conversion (전통적인 길이 척도 환산에 대한 역사·문화적 재고)

  • Lee, DongMyung;Kim, JaeHyo;Kang, YeonSeok;Ko, HoKyoung
    • The Journal of Korean Medical History
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    • v.23 no.2
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    • pp.15-22
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    • 2010
  • Currently, in Korea, all lengths are written in "meter" unit, and the non-statutory measuring units are banned for use. However, in some fields, traditional measuring units are widely used with necessary modifications, and people in such fields raise varying arguments on conversion to "meter" unit. This research examines traditional measuring units from historical and cultural viewpoints, and provides suggestions on how to improve consistency and standardization for more accurate and effective exchangeof scientific opinions.

A Phase-based Method for Blood Flow Impedance in the Windkessel Model

  • Choi, Joon-Hyuck;Kang, Nam-Lyong;Choi, Sang-Don
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.3
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    • pp.53-64
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    • 2007
  • Considering a sinusoidally varying blood pressure In left ventricle in Cho - Kensey's Windkessel model, we expressed the impedance elements in terms of the phase differences among the pressure and flow rates in the artery and the peripherical tubes. The relationships were further simplified for the real human cardiac system. We expect that the results would give some valuable information for examination and treatment in oriental medicine as well as in western medicine.

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'Cultural' Prime Numbers: 2, 3, and 5 ('문화적' 소수: 2, 3, 5)

  • Bae, Sun Bok;Park, Chang Kyun
    • Journal for History of Mathematics
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    • v.27 no.3
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    • pp.183-195
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    • 2014
  • In mathematics a prime number is the natural number that has no positive factors other than 1 and itself. As natural numbers greater than 1 can be factored characterized by prime numbers, identities of a culture could be understood if its cultural phenomena are analyzed through cultural prime numbers(CPN). It is not easy to resolve cultural phenomena into CPN and analyze them through CPN due to complexities of culture. Though it is difficult, however, it is not impossible. For CPN keeps relative independence in the context of history and thought. We call 2, 3 and 5 as CPN: 2 is representative of Yin and Yang theory, 3 of Three Principles theory, and 5 of Five Elements theory. We argue that the Ten Celestial Stems and the Twelve Earthly Branches, the core principles in the oriental tradition, could be factored by the CPN. Analyzing Sil-Hah Woo's arguments, we discuss that the CNP 3 achieved more qualitative valuation than the others in Korean culture.

The Characteristic and Implication of the View of Object in Oriental Medicine (한의학적(韓醫學的) 대상관(對象觀)의 특징과 성격)

  • Lee, Choong-Yeol
    • The Journal of Korean Medicine
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    • v.16 no.1 s.29
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    • pp.505-530
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    • 1995
  • Recently some people in learned circles of oriental medicine raised a Question about a terminological problem, i.e., 'oriental medical'. This question was thought as an attempt to find out the identity of oriental medicine which exists among the various current medical knowledge systems. In spite of same object, human body, there are diverse medical knowledge systems which has different concepts and theories. This come from the difference of a view of object which defines the experiences of that. The knowledge system of oriental medicine was established by the view of object in oriental medicine which depended on the way of thinking as Yin and Yang. The view of object in oriental medicine has come out in the special cultural soil, namely, the oriental world. Because of this the view of object in oriental medicine cannot be seperated from the oriental world view. What distintive feature does the oriental world view have? It can be summarized as the holistic, dynamical and organic ideas of the world. The term 'oriental medical' is being used to emphasize the characteristic and the peculiarity of the oriental medicine among the various medical knowledge systems. Can the current so called scientific method accept this peculiar and special method of oriental medicine? The efforts of philosophers who had been stimulated by the awful scientific achivements and had tried to find out the unified method penetrating through all the empirical science by mobilizing the logic and mathematics has became out of date for the raise of a question about the inductive method. On the contrary, the theses of theory-laden observation was accepted widely and the relativism was accepted as a new established theory. But the relativism has its own problem. The relativism was founded upon the concept, the incommensurability, which Khun and Feyerabend had proposed. This concept was criticized strongly by some of philosophers because of its own self-refuting. The view of object in oriental medicine has a relative characteristic in the aspect of its urge that in accordance with the perspective a different medical knowledge system can be possible. But our possible choice is the moderate conceptual relativism. Therefore if the view of object in oriental medicine includes the relative aspect, there is the 'conceptual relativity' between the knowledge system of oriental medicine and the western medicine. This preview an important aspect for the standardization and modernizing research of oriental medicine by lending the knowledge of the western medicine. And when we choose the moderate conceptual relativism, it means that we do not support the extreme relativism, that is, 'anything goes'. The concept of truth and rationality cannot be abandoned, and it plays the role of the norm on the knowledge system of oriental medicine and other knowledge systems of medicine in a limited meaning. And the view of object in oriental medicine has an organic view about the human body and the characteristic which wants to interpret the phenomena of human body by using the holistic method. But the availability of this method will be evaluated by the achievements of oriental medicine. Finally what relationship does the theory of oriental medicine have with the world the theory is applied to? It is recognized that the theory of oriental medicine has the instrumental characteristic. But it can be thought the instrumentalism is different from the oriental medical standpoint in the aspect that the instrumentalism seperates the theoretical existence from the observational existence sharply. Because in the oriental thinking way there is no seperation between the mind of observer and the object and no conflict between the idealism and the realism like the western world. For this problem there must be a further study.

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The geometry of Sulbasu${\={u}}$tras in Ancient India (고대 인도와 술바수트라스 기하학)

  • Kim, Jong-Myung;Heo, Hae-Ja
    • Journal for History of Mathematics
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    • v.24 no.1
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    • pp.15-29
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    • 2011
  • This study was carrying out research on the geometry of Sulbas${\={u}}$tras as parts of looking for historical roots of oriental mathematics, The Sulbas${\={u}}$tras(rope's rules), a collection of Hindu religious documents, was written between Vedic period(BC 1500~600). The geometry of Sulbas${\={u}}$tras in ancient India was studied to construct or design for sacrificial rite and fire altars. The Sulbas${\={u}}$tras contains not only geometrical contents such as simple statement of plane figures, geometrical constructions for combination and transformation of areas, but also algebraic contents such as Pythagoras theorem and Pythagorean triples, irrational number, simultaneous indeterminate equation and so on. This paper examined the key features of the geometry of Sulbas${\={u}}$tras and the geometry of Sulbas${\={u}}$tras for the construction of the sacrificial rite and the fire altars. Also, in this study we compared geometry developments in ancient India with one of the other ancient civilizations.

Effects of Seasonal Cycle on Yin-Yang Five-States (계절이 오행의 상태에 미치는 영향)

  • Lee, SuBin;Kang, Jung Im;Kim, Sang-Kyun;Kim, An Na;Lee, Sang-Hee
    • The Journal of Korean Medicine
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    • v.34 no.1
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    • pp.136-145
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    • 2013
  • Objectives: Recently, Korean medicine has been explored by employing mathematical methods, which is an effort to raise Korean medicine to a higher level of scientific research. In that vein, we propose a mathematical model, analyzing the effects of seasonal cycle as an external factor in addition to the internal interactions of five-states, the engendering and the restraining. Methods: Some modified differential equations with 5-state variables were given to describe the interactions of the engendering and the restraining, and effect of seasonal cycle, and are numerically analyzed by Runge-Kutta method. We then simulated it along with time and dynamically analyzed it by Moran's I, a spatial autocorrelation. Results: We showed the effects of seasonal cycle on yin-yang five-states and applied it to the human life cycle. Conclusions: Our result is comparable to previous results in the respect that we consider the seasonal cycle and its effect on five-states, unlike others' mainly focusing on internal interaction. Furthermore, we suggest some follow-up study taking into consideration the complexity and diversity of external factors.