• 한국수학사학회지
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• 제25권4호
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• pp.1-10
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• 2012

중국의 명수법은 기록은 구어체를 사용하고, 계산은 산대를 사용하는 이중 구조를 가지고 있었다. 또 산서는 실생활의 문제만 다루는 과정에서 수학적 구조를 나타내는 방법을 택하여 계산 과정을 제외하면 이들에서 취급한 수는 모두 명수(名數)들이어서 순수한 수론의 발전을 이룰 수 없었다. 송대에 0의 도입과 함께, 천원술의 표현에서 나타나는 계수를 산대로 표시하는 방법을 통하여, 산대가 계산 도구와 함께 추상수의 기수법(記數法)이 되는 과정을 밝힌다. 수량의 단위를 사용한 소수의 표현도 이 과정에서 산대 표현으로 대치되었다. 그러나 명대에 산대 계산이 주산으로 대치되고 천원술이 잊히게 되어 추상수의 개념도 함께 잊히게 되었다. 청대의 산학자 심사계(沈士桂)가 저서 간첩이명산법(簡捷易明算法)에서 분수의 소수표시와 계산을 하는 과정에서 순환소수를 인지하고 이들의 계산법을 확립한 것도 보인다.

• 한국수학사학회지
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• 제18권4호
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• pp.1-16
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• 2005

17세기 이전에 조선 산학자가 저술한 산서로 그 출판 연대가 확인된 것은 숙종26년(1700)에 출판된 박율(1621-?)의 산학원본이 유일하다. 이보다 먼저 출판된 것으로 추정되는 산서는 경선징(1615-?)의 묵사집산법이 있다. 조선의 산서로 산학원본은 천원술을 최초로 사용하고 있는 산서이고, 이는 그 후 여러 산서에서 인용되었다. 산학원본을 고려대학교 도서관에서 찾아내었다. 이 논문은 산학원본의 역사적 가치와 함께 조선 산학의 발전에 끼친 영향을 조사하고, 이를 통하여 박율이 지대를 앞서간 뛰어난 수학자임을 확인한다

• 한국수학사학회지
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• 제30권3호
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• pp.137-162
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• 2017

The Chinese algebraic method, the tian yuan shu, was developed during Song period (960-1279), of which Li Ye's works contain the earliest testimony. Two 18th century editors commentated on his works: the editor of the Siku quanshu and Li Rui, the latter responding to the former. Korean scholar Nam Byeong-gil added another response in 1855. Differences can be found in the way these commentators considered mathematical objects and procedures. The conflicting nature of these commentaries shows that the same object, the quadratic equation, can beget different interpretations, either a procedure or an assertion of equality. Textual elements in this paper help modern readers reconstruct different authors' understandings and reconsider the evolution of the definition of the object we now call 'equation'.

• 한국의사학회지
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• 제14권2호
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• pp.109-152
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• 2001

Throughout this paper, I adjusted the study of 'Qian Yi'(錢乙)'s Medical Thought, and the following is the summary. 1. 'Qian Yi' wrote 'Xiao Er Yao Zheng Zhi Jue'("小兒藥證直訣", edited by 誾季忠), and there were 'Shang Han Lun Zhi Wei'("傷寒論指微"), 'Ying Ru Lun', however those are loss of the record. 2. Qian Yi's 'Zhi Jue'("直訣") was influenced by 'Lu Xin Jing', yet if we compare the quality of 'Sheng Li, Byeng Li, Bang Jae'(生理, 病理, 方劑), 'Lu Xin Jing' cannot be the foundation of 'Zhi Jue'. He took over 'Nei Jing, Shang Han Lun, Jin Gui Yao Lue, Shen Long Ben Cao Jing, Tai Ping Sheng Hui Fang'("內經", "傷寒論", "金?要略", "神膿本草經", "太平聖惠方") and put them together to the direct clinical experiences of pediatrics. 3. There is no reference regarding the difficulties of pediatric diagnosis and diseases in 'Huang Di Nei Jing'("黃帝內經") Before 'Bei Song'(北宋), regardless of the lack of data related to pediatric diseases, 'Qian Yi' established the pediatric system in 'Xiao Er Yao Zheng Zhi Jue' for the first time. 4. In his diagnosis of the pediatric diseases, he 'Si Zhen He Can'(四診合參), also considered in the eye exam seriously. In addition, he closely combined 'Wu Zang Bian Zheng'(五臟辨證), and diagnosis the pediatric diseases. 5. 'Wu Zang Bian Zheng', what Qian established method was based on 'Zheng Ti Guan'(整體觀) in 'Huang Di Nei Jing'. It was based on clinical experiences and established the perspectives of 'Tian Ren Xiang Ying'(天人相應). First of all, he pinpointed 'Zhu Zheng'(主證) clearly. Secondly, he pinpointed the relationships to symptoms and then, he distinguished a generic character of 'Xu, Shi, Han, Re'(虛, 實, 寒, 熱). Finally, he made an induction from genealogical pediatric physiology. 6. 'Qian Yi' took a serious view of 'Ban Zhen'(斑疹), the inadequate field in those days. At that time, he criticized on the habituation of the misuse of medication. He treated separately which 'Ji Jing'(急驚) as 'Liang Xie'(凉瀉) and 'Man Jing'(慢驚) as 'Wen Bu'(溫補). He proposed 'Cong Gan Zhu Feng, Xin Zhu Jing'(從肝主風, 心主驚) theory and formulated 'Jing Feng'(驚風) theory as well. 7. As an opponent of a tendency to misusage of medicine, 'Qian Yi' made out a prescription with pliant medicine. He emphasized on the treatment to 'Gong Bu Shang Zheng, Bu Bu Zhi Xie, Xiao Bu Jian Shi'(攻不傷正, 補不滯邪, 消補兼施) because he had so lucid demonstration to 'Xu Shi Han Re'(虛實寒熱) of the five viscera in the field of 'Bang Yak'(方藥). 8. There were no pediatrics schools at that time, however, the pediatrics was being made up gradually by 'Jin Yuan Si Da Jia'(金元四大家) who was influenced by 'Qian Yi'. He raised an objection to medical treatment using pliant medicine. 'Qian Yi' applied 'Qu Xia'(驅下) treatment using 'Han Liang'(寒凉) medicine. 'Han Liang Pai'(寒凉派) is greatly influenced by Qian. 'Chen Wen Zhong'(陳文中) had a great impact on 'Han Liang Pai' who used a 'Zao Shu Wen Bu'(燥熟溫補) medicine for treatment. Since 'Song Jin'(宋金), he had a tremendous influence on pediatrics treating patients in both 'Han Wen'(寒溫) ways. 9. 'Qian Yi' had an influence on his medical thoughts on future generations, especially to 'Wan Quan'(萬全) of 'Ming Dai', 'Wu Tang'(吳塘) of 'Qing Dai'(淸代) and 'Yun Shu Jie'(?樹珏) of 'Min Guo'(民國). 'Wan Quan' is an advocate of 'You Yu, Bu Zu Zhi Shuo'(有餘, 不足之說)of 'Xiao Er Wu Zang'(小兒五臟) that he revealed Qian's 'Wu Zang Bian Zheng'(五臟辨證). 'Wu Tang' disclosed Qian's 'Xiao Er Ti Zhi Shuo'(小兒體質說) and 'Xiao Er Ke'(小兒科)'s 'Yong Yao Lun'(用藥論), therefore, he uncovered pediatric physiological characteristics through the advocate of Qian's 'Zang Fu Rou Ruo, Ji Gu Nen Qie, Yi Xu Yi Shi, Yi Han Yi Re' (臟腑柔弱, 肌骨嫩怯, 易虛易實, 易寒易熱). 'Yun Shu Jie' developed intrinsic relationships among time, symptom and 'Tian Ren Xiang Ying Guan'(天人相應觀), What 'Qian Yi' stated about them. And also, he developed Qian's 'Di Huang Wan'(地黃丸), 'Xie Qing Wan'(瀉靑丸), 'Yi Huang San'(益黃散) clinical usages as well. 10. Regarding Qian's 'Wu Zang Xu Shi'(五臟虛實), it has an influence on 'Zhang Yuan Su'(張元素)'s 'Zang Fu Bing Ji Bian Zheng'(臟腑病機辨證). 'Di Huang Wan', 'Xie Qing Wan', 'Xie Xin Tang'(瀉心湯), 'Yi Huang San', 'Xie Huang San'(瀉黃散) are the standard prescription of 'Wu Zang Bu Xie'(五臟補瀉). It is under the influence of Qian's treatment. Besides, 'Qian Yi' took a serious view of 'Xiao Er'(小兒)'s 'Pi Wei'(脾胃). 'Qian Yi' had an impact on 'Li Dong Yuan'(李東垣) one of the member of 'Bu Tu Pai'(補土派). 'Di Huang Wan', which placed great importance on 'Bu Yi Shen Yin'(補益腎陰), had a great impact on 'Da Bu Yin Wan'(大補陰丸) and 'Jin Yuan Si Da Jia' as well. 11. In a theory of Qian's 'Wu Zang Bian Zheng', though it had been stated clearly in 'Wu Zang Bian Zheng', but he neglected in 'Liu Fu Bian Zheng'(六腑辨證). In prescription field, The problem with the medicine is that it is either toxic or mineral, therefore, we are not able to use those medicine in a clinical testing at the present time.

• 한국수학사학회지
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• 제26권2_3호
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• pp.123-130
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• 2013

주세걸(朱世傑) 산학계몽(算學啓蒙)은 조선 산학의 발전에 가장 중요한 역할을 한 산서이다. 천원술을 비롯한 산학계몽(算學啓蒙)의 내용은 조선 산학의 중요한 연구 대상이 되었다. 이 논문의 목적은 주세걸(朱世傑)이 수학적 구조를 강조하면서 산학계몽(算學啓蒙)을 저술한 것을 보여서 조선 산학자들에게 수학적 구조에 대한 이해를 크게 확장한 것을 드러내는 것이다. 이와 함께 주세걸(朱世傑) 이전의 산서에 나타나는 구조적 접근과 산학계몽(算學啓蒙)의 접근을 비교하여 주세걸(朱世傑)의 접근이 뛰어나고 또 현대에 사용되는 구조적 접근과 일치하는 것을 보인다.

• 한국수학사학회지
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• 제24권1호
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• pp.1-13
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• 2011

조선 산학에서 다항방정식의 해볍에 가장 큰 영향을 준 것은 ${\ll}$양휘산법(楊輝算法)${\gg}$의 전무비유승제첩법(田畝比類乘除捷法)에 인용된 유익(劉益)의 ${\ll}$의고근원(議古根源)${\gg}$에 들어있는 개방술(開方術)이다. 이 논문은 ${\ll}$양휘산법(楊輝算法)${\gg}$에 설명되어 있는 개방술(開方術)을 조사하여 증승개방법(增乘開方法)은 조립제법과 관계없이 이항식$(y+{\alpha})^n$을 전개하는 과정에서 이루어진 것을 밝혀낸다. 이어서 ${\ll}$양휘산법(楊輝算法)${\gg}$을 연구한 홍정하(洪正夏)(1684~?)가 그의 ${\ll}$구일집(九一集)${\gg}$에서 유익(劉益)-양휘(楊輝)와 ${\ll}$산학계몽(算學啓蒙)${\gg}$의 결과를 확장하여 증승개방법(增乘開方法)을 완벽하게 정리한 것을 밝혀낸다.

• Asian Pacific Journal of Cancer Prevention
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• 제14권4호
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• pp.2577-2582
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• 2013

Objectives: Interleukin (IL) -10 is a potent cytokine with a dual ability to immunosuppress or immunostimulate. We aimed to explore the association of IL10 promoter polymorphisms with risk of gastric cancer (GC) in a Han population in Southwestern China. Methods: We enrolled 308 pairs of GC and control subjects from four hospitals and a community between October 2010 and August 2011 in a 1:1 matched case-control design. Demographic information was collected using a designed questionnaire. IL10-592 A>C and IL10-1082 A>G polymorphisms were determined by Sequenom MassARRAY analysis. Results: Patients with GC reported statistically higher proportions of family history of cancer (29.9% versus 10.7%, P<0.01) and alcohol drinking (54.6% versus 43.2%, P<0.01) than did controls. Similar results were observed in comparison between non-cardia GC patients and controls (P<0.01 and P=0.03). Variant genotypes of IL10-592 A>C and IL10-1082 A>G were not associated with overall GC risk (adjusted OR, 0.94, 95% CI, 0.66-1.33; adjusted OR, 1.00, 95% CI, 0.62-1.60). Sub-analysis showed that the IL10-592 AC/CC variant genotype was associated with decreased non-cardia GC risk (adjusted OR, 0.58; 95% CI, 0.36-0.95). No association was found between any of the IL10 haplotypes established from two polymorphisms and risk of non-cardia GC. Conclusions: In conclusion, our data do not link the two SNPs of IL10-592 and IL10-1082 with overall GC risk. We demonstrate that IL10-592 polymorphism is associated with protective effect against non-cardia GC. Our findings may offer insight into risk associated with the development of GC in this region.

• Asian Pacific Journal of Cancer Prevention
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• 제13권11호
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• pp.5637-5642
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• 2012

Objective: Gastric cancer (GC) is one of the most common malignancies and its mortality ranks third among all cancers in China. We previously noted that XRCC1 Arg194Trp was associated with GC risk in Western China in a study on XRCC1 Arg194Trp and ADPRT Val762Ala. We aimed to further explore the association of these polymorphisms with risk of the noncardia subtype. Methods: We enrolled 176 noncardia GC patients and 308 controls from four hospitals and a community between October 2010 and August 2011. Genotyping was performed in a 384-well plate format on the Sequenom MassARRAY platform. A self-designed questionnaire was utilized to collect epidemiological data from the subjects regarding demographic factors and potential risk factors. Results: Subjects were aged $56.8{\pm}11.8$ (mean ${\pm}$ standard deviation) and $57.6{\pm}11.1$ years in the case and control groups, respectively. Individuals carrying the XRCC1 Trp/Trp or Arg/Trp variant genotype were at significantly increased risk of noncardia GC (adjusted OR, 1.48; 95% CI, 1.00-2.17), after adjustment for family history of cancer, drinking, and smoking. The increased risk of XRCC1 Arg194Trp variant genotype was more pronounced among subjects below 60 years old (adjusted OR, 1.78; 95% CI, 1.07-2.96), compared to older individuals. ADPRT Val762Ala variants (Ala/Ala or Val/Ala) were not associated with noncardia GC (adjusted OR, 1.03; 95% CI, 0.69-1.54). Conclusions: Our study suggests that XRCC1 Arg194Trp is a genetic susceptibility factor for developing noncardia GC in Han Chinese in Western China. In particular, individuals with the XRCC1 Arg194Trp variant genotype are at increased risk for GC below 60 years old.

• Asian Pacific Journal of Cancer Prevention
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• 제13권5호
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• pp.2139-2144
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• 2012

Objective: Gastric cancer remains a major health problem in China. We hypothesized that XRCC1 Arg194Trp and ADPRT Val762Ala may be associated with risk. Methods: We designed a multicenter 1:1 matched case-control study of 307 pairs of gastric cancers and controls between October 2010 and August 2011. XRCC1 Arg194Trp and ADPRT Val762Ala were sequenced, and demographic data as well as lifestyle factors were collected using a self-designed questionnaire. Results: Individuals carrying XRCC1 Trp/Trp or Arg/Trp variant genotype had a significantly increased risk of gastric cancer (OR, 1.718; 95% CI, 1.190-2.479), while the OR for ADPRT Val762Ala variant genotype (Ala/Ala or Val/Ala) was 1.175 (95% CI, 0.796-1.737). No gene-gene or gene-environment interactions were found. In addition, family history of cancer and drinkers proportion were higher among cases than among controls (P<0.05). Conclusions: XRCC1 194 Arg/Trp or Trp/Trp genotype, family history of cancer, and drinking are suspected risk factors of gastric cancer from our study. Our findings may offer insight into further similar large gene-environment and gene-gene studies in this region.

• 대한한의학원전학회지
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• 제19권1호통권32호
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• pp.26-40
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• 2006

It is generally understood that San Bu Jiu Hou is the pulse form at CunGuanChi(寸關尺) as in ${\ulcorner}$NanJing(難經)${\lrcorner}$. However, it is totally different in ${\ulcorner}$HuangDiNeiJing${\lrcorner}$. This only appears in tew chapters of ${\ulcorner}$SuWen(素問)${\lrcorner}$ and does not appear in ${\ulcorner}$LingShu(靈樞)${\lrcorner}$. SanBu in ${\ulcorner}$SuWen SanBuJiuHouLun${\lrcorner}$ refers to top, middle, bottom and each part is divided into 3 parts, Tian(天), Di(地), Ren(人) to form JiuHou, and through Jiu Hou, not only does it diagnose ShenZang(神臟) and XingZang(形臟), but also goes on to form a diagnostic system by fusing diagnostic skill and treatment into one. ${\ulcorner}$JiuZhenShiErYuan(九針十二原)${\lrcorner}$ discusses detailed shapes and functions of nine types of acupuncture, and the ${\ulcorner}$GuanZhen(官針)${\lrcorner}$ explains how to manipulate Jiu Zhen adequately, but there is more to it than just shape and function in techniques of acupuncture. It is because it fuses (or merges) pathology, diagnostics, treatment etc to form a single diagnosis system. ${\ulcorner}$JinFu(禁服)${\lrcorner}$ discusses about nine types of acupuncture of pulse form and effect, which are treatment means based on RenYingCunKouMaiFa(人迎寸口脈法). Various pulse daignosises exist in ${\ulcorner}$HuangDiNeiJing${\lrcorner}$, but those influence of future generations can be divided into SanBuJiuHouMaiFa(三部九候脈法) and RenYingCunKouMaiFa(人迎寸口脈法), and which medical ideologies this kind of pulse daignosis originates from should be discusssed. We will finally expolre and report the process its development into 寸尺脈(Cun Chi Mai).