• Title/Summary/Keyword: The Nine Chapters

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The thought of numerical theory of $Sh\grave{a}o$ $K\bar{a}ngji\acute{e}$ and it's influence on (소강절의 수론 사상과 <구수략>에 미친 영향)

  • Jung, Hae-Nam
    • Journal for History of Mathematics
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    • v.23 no.4
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    • pp.1-15
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    • 2010
  • We study the thought of numerical theory of $Sh\grave{a}o$ $K\bar{a}ngji\acute{e}$. He explained the change of universe and everything in his theoretical system in tradition of . It is contained in his . We conjecture that this book influenced . Choi Suk Jung tried to embody the ideas of $Sh\grave{a}o$ $K\bar{a}ngji\acute{e}$ in .

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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A Study on the documentary characteristics of acupuncture and moxibustion recorded in Dusagyeong(杜思敬)'s "Jesaengbalsu(濟生拔粹)" (두사경(杜思敬)의 "제생발수(濟生拔粹)"에 수록된 침구의적(鍼灸醫籍)에 관한 문헌)

  • Kim, Jung-Ho;Kim, Ki-Wook;Park, Hyun-Guk
    • Journal of Korean Medical classics
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    • v.22 no.2
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    • pp.71-83
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    • 2009
  • The documentary characteristics of acupuncture and moxibustion recorded in Dusagyeong(杜思敬)'s".Jesaengbalsu(濟生拔粹)" can be summarized into 3 major parts: 1. "Gyeolgo-ungichimbeop(潔古雲岐鍼法)" and "Dutaesachimbeop(竇太師鍼法)" 1) "Gyeolgo-ungichimbeop" was edited by Dusagyeong of the Won dynasty, and was recorded in "Jesaengbalsu". Du was influenced by his teacher Heohyeong(許衡) and followed Janggyeolgo(張潔古) and his son Jangbyeok(張璧), and collected his work "Chimgu-pyeon(鍼灸篇)" for Jang and named it "Gyeolgo-ungichimbeop", and took the content from the medical book of Jang and his student Wang-haejang(王海藏). (2) "Jesaengbalsu"'s original edition exists today. The "Gyeolgo-ungichimbeop" listed in "Jesaengbalsu"'s index contain two collections, the first collection being "Gyeolgo-ungichimbeop" and the second collection being "Dutaesachimbeop(竇太師鍼法)" (3) Gyeolgo(潔古)、Un-gija(雲岐子)'s acupuncture methods can be seen in Un-gija "Bomyeongjipryuyo(保命集類要)" and Wanghaejang "Chasananji(此事難知)". (4) The related acupuncture methods are 'Non-gyeong-rak-yeongsubosabeop(論經絡迎隨補瀉法)', 'Gyeong-rakchwiwonbeop(經絡取原法)', 'Jeopgyeongbeop(接經法)', and 'Sang-hanyeolbyeongjabeop(傷寒熱病刺法)' (5) Du's edition of the entire text of 'Gyeolgojajetongbeop(潔古刺諸痛法)' 'Jasimtongjehyeol(刺心痛諸穴)' and the first half of 'Jeopgyeongbeop(接經法)' is all recorded in "Somunbyeonggigi-uibomyeongjip(素問病機氣宜保命集)". The existing "Somunbyeonggigi-uibomyeongjip" is a combination of the unfinished posthumous work of Yuwanso(劉完素), "Gi-ui(氣宜)" and "Byeonggi(病機)" with works such as Jangwonso(張元素)'s '"Bomyeongseo(保命書)"'. (6) Of the titles "Gyeolgo-ungichimbeop" and "Dutaesachimbeop", the 14$\sim$19th chapters "Dutaesachimbeop" should be concentrated at the end of the chapter, and the 16th chapter that Du added was put after chapter 14 "Yujujiyobu(流注指要賦)", and chapters 20, 21 should be put in "Gyeolgoungichimbeop" after chapter 13. 2. "Chimgyeongjeok-yeongjip(鍼經摘英集)" (1) "Chimgyeongjeok-yeongjip" is a collection of the acupuncture and moxibustion contents of medical books from the Geum and Won dynasties that Dusagyeong collected and organized during the Won dynasty, which is consisted of 5 chapters : "Guchimshik(九鍼式)", "Jeolyangchwisuhyeolbeop(折量取腧穴法)", "Bosabeop(補瀉法)", "Yongchimhoheupbeop(用鍼呼吸法)", "Chibyeongjik-ralgyeol(治病直剌訣)". (2) First, the contents. The nine acupuncture needles[九鍼] listed in "Guchimshik(九鍼式)" is the first existing document recording to systematically illustrate the 'nine classical needles' in drawing and text form which reflects the forms of the needles of the era. Second, "Jeolyangchwisuhyeolbeop(折量取腧穴法)" has the same basic way of measuring points [量穴法] as Wang-yuil's "Dong-insuhyeolchimgudo-gyeong(銅人腧穴鍼灸圖經)" and the same point selection rules as "Jeonyeongbang(全嬰方)". Third, in "Bosabeop(補瀉法)", "Somun(素問)" and Janggyeolgo's "Yeongsubosabeop(迎隨補瀉法)" is put together. Fourth, in "Yongchimhoheupbeop(用鍼呼吸法)", the cold and heat supplementation and draining [寒熱補瀉] method that combines breathing with inner and outer rotation[外 內撚] is recorded. Fifth, "Chi-byeongjik-ralgyeol(治病直剌訣)" is the main part of "Chimgyeongjeok-yeongjip(鍼經摘英集)" listing 69 acupuncture treatments reflecting Du's scholastic ideas on aspects such as syndrome differentiation[辨證], needling method and type of needle[鍼具]. (3) The content of this book was quoted by "Bojebang Chimgumun(普濟方 鍼灸門)" and when Gomu compiled "Chimguchwiyeong", he put the acupuncture treatments for the main indications of the disease patterns[鍼方主治病證] of this book in the related main indications of acupuncture points[腧穴主治證], which influenced books on acupuncture points there after. 3. "Chimgyeongjeolyo(鍼經節要)" (1) Consists of 1 volume. The original title of this book is "Dong-insuhyeolchimgudo-gyeong (銅人腧穴鍼灸圖經)" and the author is Wang-yuil of the Northern Song dynasty, written in the 4th year of the Cheonseong(天聖) era of the Song dynasty(1026). (2) Dusagyeong selected the contents on pathology of the 12 meridians in volume one and two, the introduction and five transport points[五輸穴] in volume 5 of "Dong-indo-gyeong(銅人圖經)" and named it "Chimgyeongjeolyo." During the Won dynasty it was recorded in "Jesaengbalsu".

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A Confucius Political Economics Based Understanding of the Chungyongkugyongyonui(中庸九經衍義) (회재(晦齋) 『중용구경연의(中庸九經衍義)』의 경세론적 이해)

  • Kim, In-Gyu
    • (The)Study of the Eastern Classic
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    • no.55
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    • pp.35-58
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    • 2014
  • This thesis is about Chungyongkugyongyonui(中庸九經衍義) by HoiJae Lee Eon Jeok (1491~1553). As many know, he was one of the philosophers representing the 16th century who played a great role in making the Zhūzǐ's Neo-Confucianism settle down in Joseon society through the dispute on TaeGeuk (太極) against Cho Han Bo (?~?). He was also the scholar who firmly established the theoretical system of the Idea for Proper Governance (至治主義). The Supplementary Explanation to the Chapters and Phrases of the Great Studies (大學章句補遺) and the Transcript of Nine Annotations on the Middle Way (中庸九經衍義) were written to argue his thoughts of the Idea for Proper Governance shown in the Great Studies (大學) and the Middle Way (中庸). He said that the Great Studies was more specific in the clauses for the justice of training oneself while the Middle Way more detail in the clauses for the justice of governor. That is, he thought that those books were in the relation of the in-and-outside, so that he argued that kings should take both justices of such for governance. Especially the Transcript of Nine Annotations on the Middle Way was written by following the way of the Annotation Transcript of the Great Studies (大學衍義) by Jin Deok Su (眞德秀), a scholar of Song Dynasty and the Supplementary Explanation to the Annotation Transcript of the Great Studies (大學衍義補) in order to make the King MyeongJong of that period realize the Proper Governance of the Two Great Emperors and Three Great Kings of Ancient China, which greatly influenced the Ten Figures of the Studies for the Great Man (聖學十圖) by ToiGye Lee Hwang and the Abstract of the Studies for the Great Man (聖學輯要) by YulGok Lee Yi.

A Study on the Gwon Ji (權智) of Jeon-gyeong (『전경(典經)』 「권지(權智)」편 연구)

  • Ko, Nam-sik
    • Journal of the Daesoon Academy of Sciences
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    • v.37
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    • pp.53-105
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    • 2021
  • The purpose of this study is to clarify the meaning of Gwonji (權智, Authority and Foreknowledge) through the phrases contained in the section, Gwonji of the Jeon-gyeong (known in English as The Canonical Scripture), and to compare the changes that each verse from Gwonji underwent by juxtaposing it against the sixth edition of Daesoon Jeong-gyeong (which was published prior to the Jeon-gyeong) to explore the term's literary meaning. In order to save the world, Sangje descended to human world and performed the Cheonjigongsa (Reordering Works of the Universe) for nine years with the power he exercises over the Three Realms of Heaven, Earth, and Humanity. Based on the plan set by the Cheonjigongsa, Sangje's teachings were spread to humanity and provided as the basis for building the earthly paradise. From this perspective, this study demonstrates its significance by providing a comprehensive approach to the Jeon-gyeong by highlighting the subject of Sangje's authority and wisdom as recorded in the section titled Gwonji. There is also value in the variant verses from Gwonji that the study discovered by comparing and analyzing the phrases from chapters one and two of Gwonji as they appear in the Jeon-gyeong with their equivalents from the sixth edition of Daesoon Jeong-gyeong, which was published in 1965, nearly a decade before Daesoon Jinrihoe's publication of the Jeon-gyeong in 1974. The results of this comparative study of parallel passages related to Gwonji are as follows: First, Gwonji can be understood as the authority and wisdom of Sangje, and this is the core element in realizing the Earthly Paradise through His Cheonjigongsa. Second, phrases related to Sangje's authority and wisdom are spread out in the seven sections of the Jeon-gyeong, and they were written to emphasize the main purpose suggested in each section or chapter. Third, in sections other than Gwonji, the great power of Sangje is exercised to treat matters related to deities and social problems, whereas in Gwonji part, it is dedicated to the performance of Cheonjigongsa. Fourth, there are five sections of the Jeon-gyeong which are organized into chapters. All of these sections and their chapters indicate the year when key events transpired. Fifth, when passages from chapter one of Gwonji is compared to parallel passages from Daesoon Jeon-gyeong, there are several verses that vary in terms of their wording and also sentences that indicate a different dates or times for certain events.

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 forestry-related legal system and permission procedure of forestation business in Indonesia (인도네시아의 산림 관련 법체계 및 조림사업 허가 절차)

  • Yeom, In-Hwan;Kweon, Hyeong-Keun;Lee, Joon-Woo;Kim, Se-Bin;Park, Gwan-Soo;Han, Man-Seong
    • Korean Journal of Agricultural Science
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    • v.38 no.3
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    • pp.421-428
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    • 2011
  • Of the countries where Korea has advanced for overseas afforestation investments, Indonesia might be the most important country. As the end of 2010, nine Korean companies have been implementing afforestation projects in Indonesia, covering a total area of one hundred and fifty thousand hectares roughly. Following the Memorandum Of Understanding (MOU) on afforestation investment covering five hundred thousand hectares (A/R CDM / industrial afforestation) signed between Korea and Indonesia, the two countries concluded in 2009 an additional MOU covering two hundred thousand hectares for biomass afforestation, thus securing a total afforestation area of seven hundred thousand hectares. Further it was guaranteed that afforestation license would have validity for maximum 95 years, which laid the foundation for long-term stable investments for afforestation projects. Forest law of Indonesia consists of Presidential decree and Governmental decree as superior regulations and Minister's decree as subordinate regulations, being made up of total 17 chapters. Forestry Minister's decree was amended at end of last year, as regards license for exploitation of timber and forestry products in afforestation area. In the past, such license to develop and use timber and forestry products had been granted under Forestry Minister's decree No. P 11 / Menhut-II / 2008. After the amendment in 2010, however, the ground was shifted to Forestry Minister's decree No. P 50 / Menhut-II / 2010, trimming the procedure to obtain afforestation license into a little simplified one.

Effective ChatGPT Prompts in Mathematical Problem Solving : Focusing on Quadratic Equations and Quadratic Functions (수학 문제 해결에서 효과적인 ChatGPT의 프롬프트 고찰: 이차방정식과 이차함수를 중심으로)

  • Oh, Se Jun
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.545-567
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    • 2023
  • This study investigates effective ChatGPT prompts for solving mathematical problems, focusing on the chapters of quadratic equations and quadratic functions. A structured prompt was designed, following a sequence of 'Role-Rule-Example Solution-Problem-Process'. In this study, an artificial intelligence model combining GPT-4, Wolfram plugin, and Advanced Data Analysis was utilized. Wolfram was used as the primary tool for calculations to reduce computational errors. When using the structured prompt, the accuracy rate for problems from nine high school mathematics textbooks on quadratic equations and quadratic functions was 91%, showing higher performance compared to zero-shot prompts. This confirmed the effectiveness of the structured prompts in solving mathematical problems. The structured prompts designed in this study can contribute to the development of intelligent information systems for personalized and customized education.

Early History of Linear Algebra (초기 선형대수학의 역사)

  • Lee, Sang-Gu;Lee, Jae Hwa;Ham, Yoon Mee
    • Communications of Mathematical Education
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    • v.26 no.4
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    • pp.351-362
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    • 2012
  • Until the 1950s, linear algebra was considered only as one of abstract and advanced mathematics subject among in graduate mathematics courses, mainly dealing with module in algebra. Since the 1960s, it has been a main subject in undergraduate mathematics education because matrices has been used all over. In Korea, it was considered as a course only for mathematics major students until 1980s. However, now it is a subject for all undergraduate students including natural science, engineering, social science since 1990s. In this paper, we investigate the early history of linear algebra and its development from a historical perspective and mathematicians who made contributions. Secondly, we explain why linear algebra became so popular in college mathematics education in the late 20th century. Contributions of Chinese and H. Grassmann will be extensively examined with many newly discovered facts.

A Study on the method of child instruction in "Sa So Jeol" ("사소절"에 나타난 아동훈육법 고찰)

  • 류점숙
    • Journal of the Korean Home Economics Association
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    • v.25 no.4
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    • pp.141-152
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    • 1987
  • The book of Sa So Jeol is about the moral training family precepts written by Yi Deok-mu (이덕무, 1739~1793) in the year of king Young Jo 51th in the Yi dynasty. The writer provides us, according to the views of Confucianists, with the principles that both elders and children of that time should abide by in the daily life, dividing the said books into 924 sections, 8 chapters, and 2 volumes. The parts concerned with children are studied in this essay. The brief conclusions are as follows. 1. Children were required to have the mental attitudes of honesty, patience, tolerance and frugality and were instructed to show such attitudes through their behavior. 2. Children were instructed to have the behavioral attitudes of nine aspects, which are the behavioral characteristics of the sages. They were instructed to emulate the personal characters of the sages through being possessed of these nine aspects, which are to be found in healthy and comfortable mental states. 3. Children were instructed to be careful and composed, in their activities. Since prudence is the basic principle of mental and behavioral attitudes, being required of men and women of all ages in a traditional society, it was emphasized from early childhood 4. The aim of instruction was taken to be becoming human, or becoming a virtuous man, rather than merely passing the classical government examamination, and for this aim the moral rules, which can be considered the order of human relations, were taught intensively. 5. As for instructional methods, the children were required to do careful or rough reading according to their abilities, and were instructed to listen to lectures politely, prudently, ardently and honestly. 6. The instructional contents are for the purpose of making children read the classical canons after increasing their perceptive ability in the various things of the sexagenary cycle, the multipicative method, the kings, lineage, and the reign-titles, and the accumulated knowledge of $\ulcorner$Kyung Mong Yo Kyul$\lrcorner$, $\ulcorner$Seong Hak Jeop Yo$\lrcorner$ and $\ulcorner$Keun Sa Lok$\lrcorner$. Because of the greater emphasis on natural talents rather than on acquired abilities, the children, however, were eudcated only after their despositions were examined. 7. The children were required to have warm-hearted, careful, polite, and prudent attitudes toward their elders, and were instructed to take precauticns against arrogance and impoliteness. Since politeness in particular was considered not only as the ground of decorum but the method of emotional regulation and maintaining composure for confucianists, it can be regarded as the principal ettiquettee demanded in all activities. 8. The main instructional contents are generally moral aspects, concentrating on introspection and virtuous conduct through emotional regulations, rather than on the natural expression of physical and mental states.

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