• Journal for History of Mathematics
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• v.24 no.3
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• pp.1-12
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• 2011

It is well known that the sexagesimal cycle(干支) has been playing very important role in ordinary human affairs including astrology and almanacs and the arts of divination(術數). Yin-Yang school related the cycle with the sixty four hexagrams and the system of five notes(五音) and twelve pitch-pipes(十二律), and the processes to relate them are called respectively NaJia(納甲) and NaYin(納音) and quoted in Shen Kuo's Meng qi bi tan(夢溪筆談, 1095). Yang Hui obtained the process NaYin in the context of mathematics. In this paper we show that Yang Hui introduced the concept and notion of functions and then using congruences and the composite of functions, he could succeed to describe perfectly the process in his Xu gu zhai qi suan fa(續古摘奇算法, 1275). We also note that his concept and notion of functions are the earliest ones in the history of mathematics.

• Journal of Korean Medical classics
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• v.13 no.2 s.17
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• pp.69-69
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• 2000

韓國有一體醫書叫『神授秘傳隔簾診線訣』. 大槪是自從古代傳下來的. 此暑之內容是把患者與大夫隔開于室內與室外. 也不進行聞診和問診. 只腕上係的線中來的感覺來判斷病症. 又按此病症提示治療法的秘訣. 我們常常可聞到 '古代的大夫不僅王后. 而且將相的妻妾, 也只고絲線來診好脈, 可現在즘마也조不到那種有名的大夫'我想此話起源于線訣. 但從實際來看. 不得不懷疑 '즘마能用一絲線來正確判斷患者的脈象, 尤其是以此判斷來所定下來的診斷與治法又能信到甚마程道尼.' 結果得知了"처리불가"隔簾診線訣"처리불가"上所敍述的理論是基于"周易"的理論之事, 要訣形式來敍述的. 所以一般人흔難理解. 因此我要對此而介紹. 首先通過線訣的提要體例, 作卦法及原文一例, 在醫易學的立場上, 爲了六爻, 生理, 病理, 診斷, 豫候, 方劑和針灸方面的應用. 還有考察了卦象的納甲, 納支, 世應, 飛神, 伏神, 種類的作用與利用卦象的有關醫易書的作用.

• Journal of Korean Medical classics
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• v.13 no.2 s.17
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• pp.70-84
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• 2000

한국유일체의서규(韓國有一體醫書叫) 신수비전격염진선결(神授秘傳隔簾診線訣). 대개시자종고대전하래적(大槪是自從古代傳下來的). 차서지내용시파환자여대부격개우실내여실외(此暑之內容是把患者與大夫隔開于室內與室外). 야부진행문진화문진(也不進行聞診和問診). 지완상계적선중래적감각래판단병증(只腕上係的線中來的感覺來判斷病症). 우안차병증제시치료법적비결(又按此病症提示治療法的秘訣). 아문상상가문도(我們常常可聞到) '고대적대부부근왕후('古代的大夫不僅王后). 이차장상적처첩(而且將相的妻妾), 也只고사선래진호맥(也只고絲線來診好脈), 가현재즘마야조불도나종유명적대부'아상차화기원우선결(可現在즘마也조不到那種有名的大夫'我想此話起源于線訣). 단종실제내간(但從實際來看). 불득부회의(不得不懷疑) ‘즘마능용일사선내정확판단환자적맥상('즘마能用一絲線來正確判斷患者的脈象), 우기시이차판단내소정하래적진단여치법우능신도심마정도니(尤其是以此判斷來所定下來的診斷與治法又能信到甚마程道尼).' 결과득지료(結果得知了) 격염진선결(隔簾診線訣) 상소서술적이론시기우'주역'적이론지사(上所敍述的理論是基于'周易'的理論之事), 요결형식내서술적(要訣形式來敍述的). 소이일반인흔난이해(所以一般人흔難理解). 인차아요대차이개소(因此我要對此而介紹). 수선통과선결적제요체예(首先通過線訣的提要體例), 작괘법급원문일례(作卦法及原文一例), 재의역학적립장상(在醫易學的立場上), 위료육효(爲了六爻), 생리(生理), 병리(病理), 진단(診斷), 예후(豫候), 방제화침구방면적응용(方劑和針灸方面的應用). 환유고찰료괘상적납갑(還有考察了卦象的納甲), 납지(納支), 세응(世應), 비신(飛神), 복신(伏神), 종류적작용여이용괘상적유관의역서적작용(種類的作用與利用卦象的有關醫易書的作用).