• 제목/요약/키워드: s{\bar{u}}\

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명대의가(明代醫家)들의 두통(頭痛)에 대한 인식변화에 관한 연구 (The Historical Study of Headache in Chinese Ming Dynasty)

  • 전덕봉;맹웅재;김남일
    • 한국의사학회지
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    • 제24권1호
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    • pp.43-56
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    • 2011
  • Everyone once in a life experience headaches as symptoms are very common. According to a study in a country of more than a week and as many as those who have experienced a headache amounts to 69.4%. In addition, the high reported prevalence of migraine in 30s for 80% of all migraine sufferers daily life interfere with work or was affected. In Western medicine, the cause of headaches is traction or deformation of pain induced tissue like scalp, subcutaneous tissue, muscle, fascia, extracranial arteriovenous, nerves, periosteum. But it turns out there are not cause why pain induced tissue is being tracted or deformated. Therefore, most of the western-therapy is mainly conducted with regimen for a temporary symptom reduction. Therefore, I examined how it has been developed in Chinese Ming Dynasty, the perception of headache, change in disease stage and an etiological cause. Oriental medicine in the treatment of headache is a more fundamental way to have an excellent treatment. The recognition of head in "素問($s{\grave{u}}$ $w{\grave{e}}n$)" and "靈樞($l{\acute{i}}ng$ $sh{\bar{u}}$)" began to appear in 'Soul-神($sh{\acute{e}}n$) dwelling place' and 'where to gather all the Yang-'諸陽之會($zh{\bar{u}}$ $y{\acute{a}}ng$ $zh{\bar{i}}$ $hu{\grave{i}}$)'. Also, head was recognized as '六腑($li{\grave{u}}f{\check{u}}$) 淸陽之氣($q{\bar{i}}ng$ $y{\acute{a}}ng$ $zh{\bar{i}}$ $q{\grave{i}}$) and 五臟($w{\check{u}}$ $z{\grave{a}}ng$) 精血($j{\bar{i}}ng$ $xu{\grave{e}}$) gathering place'. More specific structures such as the brain is considered a sea of marrow(髓海-$su{\check{i}}$ $h{\check{a}}i$) in "內經($n{\grave{e}}i$ $j{\bar{i}}ng$)" and came to recognized place where a stroke occurs. Accompanying development of the recognition about head, there had been changed about the perception of headache and the recognition of the cause and mechanism of headache. And the recognition of headache began to be completed in Ming Dynasty through Jin, Yuan Dynasty. Chinese Ming Dynasty, specially 樓英($l{\acute{o}}u$ $y{\bar{i}}ng$), in "醫學綱目($y{\bar{i}}xu{\acute{e}}$ $g{\bar{a}}ngm{\grave{u}}$)", first enumerated prescription in detail by separating postpartum headache. and proposed treatment of headache especially due to postpartum sepsis(敗血-$b{\grave{a}}i$ $xu{\grave{e}}$). 許浚($x{\check{u}}$ $j{\grave{u}}n$) accepted a variety of views without impartial opinion in explaining one kind of headache in "東醫寶鑑($d{\bar{o}}ng-y{\bar{i}}$ $b{\check{a}}oji{\grave{a}}n)$" 張景岳($zh{\bar{a}}ng$ $j{\check{i}}ng$ $yu{\grave{e}}$), in "景岳全書($j{\check{i}}ng$ $yu{\grave{e}}$ $qu{\acute{a}}nsh{\bar{u}}$)", established his own unique classification system-新舊表裏($x{\bar{i}}nji{\grave{u}}$ $bi{\check{a}}ol{\check{i}}$)-, and offered a clear way even in treatment. Acupuncture treatment of headache in the choice of meridian has been developed as a single acupuncture point. Using the classification of headache to come for future generation as a way of locating acupoints were developed. Chinese Ming Dynasty, there are special treatments like 導引按蹻法($d{\check{a}}o$ y ${\check{i}}n$ ${\grave{a}}n$ $ji{\check{a}}o$ $f{\check{a}}$), 搐鼻法($ch{\grave{u}}$ $b{\acute{i}}$ $f{\check{a}})$, 吐法($t{\check{u}}$ $f{\check{a}}$), 外貼法($w{\grave{a}}i$ $ti{\bar{e}}$ $f{\check{a}}$), 熨法($y{\grave{u}}n$ $f{\check{a}}$), 點眼法($di{\check{a}}n$ $y{\check{a}}n$ $f{\check{a}}$), 熏蒸法($x{\bar{u}}nzh{\bar{e}}ng$ $f{\check{a}}$), 香氣療法($xi{\bar{a}}ngq{\grave{i}}$ $li{\acute{a}}of{\check{a}}$). Most of this therapy in the treatment of headache, it is not used here, but if you use a good fit for today's environment can make a difference.

Su$\acute{s}$ruta-samhit$\bar{a}$.S$\bar{u}$trasth$\bar{a}$na의 제16장~제37장까지 어석(語釋)을 통한 '$\bar{A}$yurveda(아유르베다)'에 관한 연구(II) (关于 '$\bar{A}$yurveda' 硏究 通过第16到37章的 "Su$\acute{s}$ruta-samhit$\bar{a}$.S$\bar{u}$trasth$\bar{a}$na" 语释)

  • 박현국;서지영;이경원;하홍기;김기욱
    • 대한한의학원전학회지
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    • 제24권5호
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    • pp.21-57
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    • 2011
  • Su$\acute{s}$ruta-samhit$\bar{a}$(妙闻集)是印度传统医学最重要的经典著作之一, 与"Caraka-samhit$\bar{a}$(闺罗迦集)"以及成 书于八世纪的"Astangahrdaya-samhita(八心集)"(內外科综合概要)并称 $\bar{A}$yurveda(阿输吠陀)'的"三位长老", 至今仍是当代印度 '$\bar{A}$yurveda(阿输吠陀)' 正规教育所采用的主要科书. Su$\acute{s}$ruta-samhit$\bar{a}$(妙闻集)"是卷一"总說"46章, 卷二"病因论"16章, 卷三"身 论"10章, 卷四"治疗论"40章, 卷五"毒物;论"8章, 卷六"补遗"66章等总共186章构成的. 其作者为苏斯鲁塔(Su$\acute{s}$ruta), 故此书亦称"Su$\acute{s}$ruta-samhita(苏斯鲁塔本集)". "Su$\acute{s}$ruta-samhit$\bar{a}$ 的成书年代无法 定, 虽然不乏认为其成书年代可以上溯到纪元 前若干世纪者,但现今一般倾向于认为其传世本的形成是在公元3~4世纪. 不论是想真正了解 '$\bar{A}$yurveda(阿输吠陀)', 还是想对不同医学体系做比较, 交流方面的硏究, 或是全面考察医学与社会, 哲学等等的关系, 仅仅阅读综述性的硏究文章与著作总是不够的. 细观而真正了解经典原貌时所能体会到的真实感. 因此, 试图了翻译 "Su$\acute{s}$ruta-samhit$\bar{a}$". "Su$\acute{s}$ruta-samhit$\bar{a}$是用梵语写的, 所以很难接近. 以下借助大地原诚玄的1943年日译本"スシュルタ本集" 之第一卷 "总說" 而廖育群的"阿輪吠陀-印度的传统医学" "妙闻集.总论篇" 的主要内容译出. 如今西医体系获得了普遍性, 其他文化圈的传统医学消灭了. 然而其中韩医学和印度传统医学 '$\bar{A}$yurveda(阿输吠陀)' 仍然保持了生命力. 从而, 论者通过翻译 '$\bar{A}$yurveda(阿输吠陀)' 医学经典即 "Su$\acute{s}$ruta-samhit$\bar{a}$(妙闻集)"的"总說", 而且要贡献扩大韩医学和东洋传统医学的范围.

하서(河西) 김인후(金麟厚)의 독서관에 관한 연구 - "하서전집"의 인용문헌 분석을 중심으로 - (A Study on Kim Inhue's View of Reading: Through the Analysis of Reference Books in Haseo-Chunjib)

  • 안현주
    • 한국도서관정보학회지
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    • 제39권3호
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    • pp.479-500
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    • 2008
  • 이 연구는 "하서전집"의 인용문헌 분석을 통해 김인후의 독서관을 고찰하였다. 그 결과 최소한 123종의 책을 독서했으며, "사서삼경", "사기", "한서", "장자", "고문진보", "초사", "문선"을 가장 많이 인용하였다. 김인후는 16세기 선비들이 보여주는 공통적인 독서범주를 뛰어넘은 다양한 독서, 시대상에 구애받지 않은 자유로운 독서를 했음을 알 수 있다. 그의 독서관은 성리학의 경서를 중요시 여겼으며 또한 다양한 독서를 통하여 실생활에 유익한 지식을 얻음과 동시에 방대한 저술의 바탕을 마련하였다.

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혈전증(血栓症)과 타박성(打撲性) 충혈(充血) 및 고지혈증(高脂血症)에 순기도담탕(順氣導痰湯) 및 화어탕(化瘀湯)이 미치는 영향(影響) (A Study of the influence of both of Shùnqìdǎotántāng and Huàyūtāng on thrombosis, contusion-hyperemia, and hyperlipidemia)

  • 박원환;최달영;문준전
    • 동국한의학연구소논문집
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    • 제2권1호
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    • pp.19-54
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    • 1993
  • To see both $Sh{\grave{u}}nq{\grave{i}}daot{\acute{a}}nt{\bar{a}}ng$(dissipate phlegm and promote vital energy circulation) and $Hu{\grave{a}}y{\bar{u}}t{\bar{a}}ng$(blood circulation and disperse blood stasis) influencing on thrombosis, contusion-hyperemia, and hyperlipidemia, at first we measured the density of FDP, the quantity of fibrinogen, prothrombin time, and the number of platelet of rat taken thrombosis by endotoxin. Secondly we measured the increase-rate of "paw swelling", the number of platelet, the quantity of fibrinogen, and prothrombin time of rat taken contusion-hyperemia. And then we measured the quantity of total cholesterol in serum and of H.D.L-cholesterol and of triglyceride and of phospholipid and of ${\beta}-lipoprotein$, its weight, and the variation of the quantity of electrolyte of rat taken hyperlipidemia by the oral-injection of choleserol. As a result, we can conclude as follows : 1. Out of the test of thrombosis, we can recognize not only the noticeable increae of the number of platelet and the quantity of fibrinogen, but also the noticeable decrease of prothrombin time and the density of FDP in case of $Sh{\grave{u}}nq{\grave{i}}daot{\acute{a}}nt{\bar{a}}ng$-injected rat and $Hu{\grave{a}}y{\bar{u}}t{\bar{a}}ng$-injected rat. 2. Out of the test of contusion-hyperemia, we can recognize not only the noticeable increase of the number of platelet and the quantity of fibrinogen, but also the noticeable decrease of prothrombin time and "increase-rate of paw swelling" in case of $Sh{\grave{u}}nq{\grave{i}}daot{\acute{a}}nt{\bar{a}}ng$-injected rat and $Hu{\grave{a}}y{\bar{u}}t{\bar{a}}ng$-injected rat. 3. Out of the test of hyperlipidemia, at first we can recognize that test rat's weight increased as close as that of normal rat. And we can recognize the noticeable decrease of the triglyceride and phospholipid and ${\beta}-lipoprotein$." Also, in case of the variation of electrolyte we can recognize the decrease of calcium and potassium in $Sh{\grave{u}}nq{\grave{i}}daot{\acute{a}}nt{\bar{a}}ng$-injected rat, and of sodium and magnesium in $Hu{\grave{a}}y{\bar{u}}t{\bar{a}}ng$-injected rat. Thus, as the above-mentioned, in covering thrombosis, contusion-hypermia, and hyperlipidemia, the effect of $Sh{\grave{u}}nq{\grave{i}}daot{\acute{a}}nt{\bar{a}}ng$ and $Hu{\grave{a}}y{\bar{u}}t{\bar{a}}ng$ can be recognized. Granting that $Hu{\grave{a}}y{\bar{u}}t{\bar{a}}ng$ reveals its effectiveness in thrombosis and contusion-hyperemia, and $Sh{\grave{u}}nq{\grave{i}}daot{\acute{a}}nt{\bar{a}}ng$ in hyperlipidemia, it can be inferred that contusion-hyperemia is like "model of blood stasis form" as thrombosis and hyperlipidemia "phlegm-retention diseases form", and both phlegm-retention and blood stasis have correlation each other.

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『동의보감(東醫寶鑑)』에 수록된 파킨슨병 치료 처방(處方) 후보군 선별 연구 (Research on prescription candidates for Parkinson's disease in 『Dongeuibogam』)

  • 황민섭;박혜진;김시원;백진웅
    • 대한한의학방제학회지
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    • 제26권1호
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    • pp.65-80
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    • 2018
  • Objectives : This study aims to sort out prescription candidates for four major symptoms of Parkinson's disease from Korean traditional medical publication, "Dongeuibogam". Methods : Medical terms related to four major symptoms of Parkinson's disease were primarily selected from "Dongeuibogam". Prescriptions that include at least one or more medical terms which are selected above were classified by the four major symptoms of Parkinson's disease, and finally analyzed to sort the most effective candidates. Results & Conclusions : 1. There are 18 medical terms in efficacy ($ch{\grave{i}}$ $z{\grave{o}}ng$, $j{\bar{u}}$ $lu{\acute{a}}n$, $j{\bar{i}}ng$${\check{u}}$ $ju{\check{a}}n$($ju{\check{a}}n$, $qu{\acute{a}}n$) $lu{\acute{a}}n$, $j{\bar{i}}ng$${\check{u}}$ $lu{\acute{a}}n$($lu{\acute{a}}n$) $t{\grave{o}}ng$, $j{\bar{i}}n$ $lu{\acute{a}}n$, $j{\bar{i}}n$ $t{\grave{i}}$, $sh{\check{o}}u$ $zh{\grave{e}}n$, $y{\acute{a}}ng$ $sh{\check{o}}u$, $lu{\acute{a}}n$ $j{\acute{i}}$, $lu{\acute{a}}n$ $b{\grave{i}}$, $r{\grave{o}}u$ $r{\acute{u}}n$, $zh{\grave{a}}n$ $di{\grave{a}}o$, $zh{\grave{a}}n$ $y{\acute{a}}o$, $zh{\grave{i}}$ $z{\acute{u}}$, $ch{\grave{e}}$ $t{\grave{o}}ng$, $ch{\bar{o}u}$ $ch{\grave{e}}$, $f{\bar{e}}ng$ $ch{\grave{u}}$, $ch{\grave{u}}$ $nu{\grave{o}}$) related to tremor, one of four major symptoms of Parkinson's disease. 2. There are 9 medical terms in efficacy ($qi{\acute{a}}ng$ $j{\acute{i}}$, $qi{\acute{a}}ng$ $zh{\acute{i}}$, $qi{\acute{a}}ng$ $t{\grave{o}}ng$, $j{\bar{u}}$ $j{\acute{i}}$, $j{\bar{i}}n$ $j{\acute{i}}$, $sh{\bar{e}}n$ $qi{\acute{a}}ng$, $lu{\acute{a}}n$ $j{\acute{i}}$, $y{\bar{a}}o$ $j{\acute{i}}$ $qi{\acute{a}}ng$, $xi{\grave{a}}ng$ $qi{\acute{a}}ng$) related to rigidity, one of four major symptoms of Parkinson's disease. 3. 38 prescription candidates (jiaweishouxingyuan, jiaweilonghusan, gehuajiexingtang, qiangfutang, qianghuoxuduantang, dawugongsan, duhuojishengtang, mahuangzuojingtang, fangfengbaizhumulitang, fangfengtongshengsan, baizhutang, buxinwan, fulingtang, binsusan, xieqingwan, sanbitang, shengdiqinliantang, shujinbaoansan, xingxiangsan, xiaotanfulingwan, shengjunwan, shenmizuojingtang, wuyaoshunqisan, yuzhenwan, wenjingyiyuantang, yiziqingjinsan, ziyinningshentang, shaoyaogancaotang, dingtongsan, zhushazhijiasan, cangzusan, chuanxiongfulingtang, tiedanyuan, choubaowan, duomingsan, xuanhusuosan, xuefengtang, huoluodan) were selected for tremor, one of the four major symptoms of Parkinson's disease. 4. 21 prescription candidates (qianghuoshengshitang, guizhiqianghuotang, guizhifuzitang, jiuweiqianghuotang(qianghuochonghetang), xiongzhixiangsusan, daqianghuotang, mahuangguizhitang, muguajian, fuzilizhongtang, shenzhusan, lianqiaobaidusan, yuzhensan, niuhuangjinhudan, renshenbaidusan, shaoyaogancaotang, jiuzhumuguazhou, cangzusan, shenxiangtianmatang, xiangjiaosan, xuefengtang, huishousan) were selected for rigidity, one of the four major symptoms of Parkinson's disease. 5. The results in this study ought to be verified by subsequent studies and clinical trials.

PAIR MEAN CORDIAL LABELING OF GRAPHS OBTAINED FROM PATH AND CYCLE

  • PONRAJ, R.;PRABHU, S.
    • Journal of Applied and Pure Mathematics
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    • 제4권3_4호
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    • pp.85-97
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    • 2022
  • Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}\;=\;\{\array{{\frac{p}{2}}&p\text{ is even}\\{\frac{p-1}{2}}\;&p\text{ is odd,}}$$ and M = {±1, ±2, ⋯ ± 𝜌} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling $\frac{{\lambda}(u)+{\lambda}(v)}{2}$ if λ(u) + λ(v) is even and $\frac{{\lambda}(u)+{\lambda}(v)+1}{2}$ if λ(u) + λ(v) is odd such that ${\mid}\bar{\mathbb{S}}_{{\lambda}_1}-\bar{\mathbb{S}}_{{\lambda}^c_1}{\mid}{\leq}1$ where $\bar{\mathbb{S}}_{{\lambda}_1}$ and $\bar{\mathbb{S}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G for which there exists a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling of graphs which are obtained from path and cycle.

ON PAIR MEAN CORDIAL GRAPHS

  • R. PONRAJ;S. PRABHU
    • Journal of Applied and Pure Mathematics
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    • 제5권3_4호
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    • pp.237-253
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    • 2023
  • Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}=\{\array{{\frac{p}{2}} & \;\;p\text{ is even} \\ {\frac{p-1}{2}} & \;\;p\text{ is odd,}$$ and M = {±1, ±2, … ± ρ} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling ${\frac{{\lambda}(u)+{\lambda}(v)}{2}}$ if λ(u) + λ(v) is even and ${\frac{{\lambda}(u)+{\lambda}(v)+1}{2}}$ if λ(u) + λ(v) is odd such that ${\mid}{\bar{{\mathbb{S}}}}_{\lambda}{_1}-{\bar{{\mathbb{S}}}}_{{\lambda}^c_1}{\mid}{\leq}1$ where ${\bar{{\mathbb{S}}}}_{\lambda}{_1}$ and ${\bar{{\mathbb{S}}}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G for which there exists a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling behavior of few graphs including the closed helm graph, web graph, jewel graph, sunflower graph, flower graph, tadpole graph, dumbbell graph, umbrella graph, butterfly graph, jelly fish, triangular book graph, quadrilateral book graph.

PAIR MEAN CORDIAL LABELING OF SOME UNION OF GRAPHS

  • R. PONRAJ;S. PRABHU
    • Journal of Applied and Pure Mathematics
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    • 제6권1_2호
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    • pp.55-69
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    • 2024
  • Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}=\{\array{{\frac{p}{2}} && p\;\text{is even} \\ {\frac{p-1}{2}} && p\;\text{is odd,}}$$ and M = {±1, ±2, … ± 𝜌} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling $\frac{{\lambda}(u)+{\lambda}(v)}{2}$ if λ(u) + λ(v) is even and $\frac{{\lambda}(u)+{\lambda}(v)+1}{2}$ if λ(u) + λ(v) is odd such that ${\mid}\bar{\mathbb{s}}_{{\lambda}_1}-\bar{\mathbb{s}}_{{\lambda}^c_1}{\mid}\,{\leq}\,1$ where $\bar{\mathbb{s}}_{{\lambda}_1}$ and $\bar{\mathbb{s}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G with a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling behavior of some union of graphs.

구중질환(口中疾患)의 침구치료(鍼灸治療)에 관한 고찰(考察) (A study of Literature Review on the acupuncture and moxibution treatments for stomatopathy)

  • 윤현민;안창범;김철홍
    • Korean Journal of Acupuncture
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    • 제21권1호
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    • pp.175-199
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    • 2004
  • Objectives : To study acupuncture and moxibution treatments for stomatopathy( aphthae, oral ulceration, mycolic stomatitis, halitosis, thirst, bitter) the ancient and the present literatures were reviewed. Methods : We've got compared and analyzed 55 kinds of literatures. Results and Conclusions : 1. The acupuncture meridians used frequently for stomatopathy were $Su-yangmy\bar{o}ng-Taejang-ky\bar{o}ng(LI),\;Chok-yangmy\bar{o}ng-Wi-Ky\bar{o}ng(S),\;Immaek-Ky\bar{o}ng(CV)$. 2. The acupoints used frequently for aphthae were $Sungjang(CV_{24}),\;Yomchon(CV_{23}),\;Hapkok(LI_4),\;Nogung(P_8),\;Chok-samni(S_{36}),\;Hyopko(S_6),\;Sugu(GV_{26})$. 3. The acupoints used frequently for oral ulceration were $Hapkok(LI_4),\;Nogung(P_8),\;Chok-samni(S_{36}),\;Kokchi(LI_{11}),\;Sotaek(SI_1),\;Pisu(B_{20}),\;Wisu(B_{21}),\;Samgan(LI_3),\;Yomchon(CV_{23}),\;Chichang(S_4)$. 4. The acupoints used frequently for mycolic stomatitis were $Hapkok(L_4),\;Chichang(S_4),\;Hyopko\;(LI_4),\;Sungjang(CV_{24}),\;Samumgyo(SP_6)$. 5. The acupoints used frequently for halitosis were $Naejong(S_{44}),\;Chok-samni(S_{36}),\;Chung-wan\;(CV_{12}),\;Sang-wan(CV_{13}),\;Hawan(CV_{10}),\;Kongson(SP_4),\;Wisu(B_{21}),\;Nogung(P_8),\;Sugu(GV_{26}),\;Sungjang(CV_{24})$. 6. The acupoints used frequently for thirst were $Sosang(L_{11}),\;Sangyang(LI_1),\;Sotaek(SI_1),\;Kwanch'ung(TE_1),\;Ch'\bar{o}kt'aek(L_5),\;T'ae-gye(K_3),\;Kokt'aek(P_3),\;Sugu(GV_{26}),\;Samgan(LI_3),\;Igan(LI_2),\;T'aech'ung(Liv_3),\;Sojangsu(B_{27})$. 7. The acupoints used frequently for bitter were $Yangn\bar{u}ngch'\bar{o}n(G_{34}),\;Hy\bar{o}njong(G_{39}),\;Kwanch'ung(TE_1),\;Tamsu(B_{19}),\;Chokkyu\bar{u}m(G_{44}),\;Y\bar{o}n-gok(K_2),\;Shinmun(H_7),\;Chok-Samni(S_{36})$.

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삼차방정식의 기하적 해법에 대한 재조명과 시각화 (The reinterpretation and visualization for geometric methods of solving the cubic equation)

  • 김향숙;김양;박시은
    • East Asian mathematical journal
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    • 제34권4호
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    • pp.403-427
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    • 2018
  • The purpose of this paper is to reinterpret and visualize the medieval Arab's studies on the geometric methods of solving the cubic equation by utilizing Apollonius' symptom of the parabola. In particular, we investigate the results of $Kam{\bar{a}}l$ $al-D{\bar{i}}n$ ibn $Y{\bar{u}}nus$, Alhazen, Umar al-$Khayy{\bar{a}}m$ and $Al-T{\bar{u}}s{\bar{i}}$ by 4 steps(analysis, construction, proof and examination) which are called the complete solution in the constructions. This paper is available in the current middle school curriculum through dynamic geometry program(Geogebra).