• Journal for History of Mathematics
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• v.30 no.4
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• pp.203-219
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• 2017

As is well known, the most important development in the history of Chinese mathematics is materialized in Song-Yuan era through tianyuanshu up to siyuanshu for constructing equations and zengcheng kaifangfa for solving them. There are only two authors in the period, Li Ye and Zhu Shijie who left works dealing with them. They were almost forgotten until the late 18th century in China but Zhu's Suanxue Qimeng(1299) had been a main reference for the Joseon mathematics. Commentary by Luo Shilin on Zhu's Siyuan Yujian(1303) was brought into Joseon in the mid-19th century which induced a great attention to Joseon mathematicians with a thorough understanding of Zhu's tianyuanshu. We discuss the history that Joseon mathematicians succeeded to obtain the mathematical structures of Siyuan Yujian based on the Zhu's tianyuanshu.

• Journal for History of Mathematics
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• v.29 no.6
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• pp.325-333
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• 2016

Chinese Mathematics during the period of Jin (1115-1234) and Yuan (1271-1368) is an integral part of the high achievements of traditional mathematics during the Song (962-1279) and Yuan dynasties, which is another peak in the history of Chinese mathematics, following the footsteps of the high accomplishments during the Warring States period (475-221 BCE), the Western Han (206 BCE-24 ADE), Three Kingdoms (220-280 AD), Jin dynasty (265-420 AD), and Southern and Northern Dynasties (420-589 AD). During the Jin-Yuan period, Quanzhen Taoism was a dominating branch in Taoism. It offered certain political protection and religious comforts to many during troubled times; it also provided a relatively stable environment for intellectual development. Li Ye (1192-1279), Zhu Shijie (fl. late 13th C to early 14th C) and Zhao Youqin (fl. late 13th C to early 14th C), the major actors and contributors to the Jin-Yuan Mathematics achievements, were either heavily influenced by the philosophy of Quanzhen Taoism, or being its followers. In certain Taoist Classics, Li Ye read the records of the relations of a circle and nine right triangles which has been known as Dongyuan jiurong 洞渊九容 of Quanzhen Taoism. These relations made significant contributions in the study of the circles inscribed in a right triangle, the reasoning of which directly led to the birth of the Method of Celestial Elements (Tianyuan shu 天元术), which further developed into the Method of Two Elements (Eryuan shu ⼆元术), the Method of Three Elements (Sanyuan shu 三元术) and the Method of Four Elements (Siyuan shu 四元术).

• BMB Reports
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• v.50 no.8
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• pp.411-416
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• 2017

The endoplasmic reticulum (ER) membrane protein complex subunit 6 (EMC6) is a novel human autophagy-related molecule. Here, using tissue microarray and immunohistochemistry, we report that EMC6 protein is lost or reduced in glandular cells of patients with gastric adenocarcinoma, compared to normal stomach mucosa. Overexpression of EMC6 in gastric cancer cells inhibited cell growth, migration, invasion, and induced apoptosis and cell cycle arrest at S-phase. Further investigation suggested that EMC6 overexpression in BGC823 human adenocarcinoma gastric cancer cells reduced tumorigenicity in a xenograft model, demonstrating that EMC6 has the characteristics of a tumor suppressor. This is the first study to show that EMC6 induces cell death in gastric cancer cells. The molecular mechanism of how EMC6 functions as a tumor suppressor needs to be further explored.

• Journal of the Daesoon Academy of Sciences
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• v.38
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• pp.183-208
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• 2021

In order to examine the origin of Image-Number Theory in Cho Hoik (曺好益)'s Yixiangshuo (易象說), it is necessary to review Hu Yigui (胡一桂)'s Zhouyi Benyi Fulu Zuanzhu (周易本義附録纂注). Hu Yigui based his work on Zhu Xi's Zhouyi Benyi, he took related contents such as the Zhu Xi's writings and phrases and organized them into a fulu (附録), and he collected commentaries that matched the meaning of Zhouyi Benyi among the theories of many Confucian scholars and produced a zuanzhu (纂注). In addition to these, there are 'Yuwei (愚謂)' and 'Yuan (愚案)' which allowed him to add his own opinion. The system of Hu Yigui's Zhouyi Benyi Fulu Zuanzhu almost coincides with Cho Hoik's Yi-ological writing system. In other words, Cho Hoik appears to have written Yizhuan Bianjie (易傳辨解) and Zhouyi Shijie (周易釋解) as a fulu and zuanzhu of Zhouyi Benyi Fulu Zuanzhu. And there is Yixiangshuo which corresponds to 'Yuwei' and 'Yuan' of Zhouyi Benyi Fulu Zuanzhu. Yixiangshuo was not originally an independent Yi-ological book, but was compiled by later generations from what was recorded in the form of the head notes of Zhouyi (周易). Thus, Yixiangshuo takes almost the same form as the 'Yuwei' and 'Yuan' of Zhouyi Benyi Fulu Zuanzhu. In addition, Cho Hoik's Yixiangshuo cites many contents from 'Yuwei' and 'Yuan' of Zhouyi Benyi Fulu Zuanzhu. On the other hand, in order to examine the origin of Image-Number Theory in Cho Hoik's Yixiangshuo, the Yi-ology of Zhu Zhen (朱震) cannot be overlooked. This is true not only due to the fact that Yixiangshuo is quoting Zhu Zhen. The more significant reason is Yixiangshuo is a fundamental aspect of Zhu Zhen's Yi-ology. As demonstrated in the main body of this article, the methodology of Image-Number Theory in Yixiangshuo and its counterpart in Hanshang Yizhuan (漢上易傳) are almost identical. In conclusion, the origin of Image-Number Theory in Cho Hoik's Yixiangshuo can be found in both the Hu Yigui's Zhouyi Benyi Fulu Zuanzhu and Zhu Zhen's Hanshang Yizhuan. In particular, it can be said that its origin can be found in both the 'Yuwei' and 'Yuan' of Zhouyi Benyi Fulu Zuanzhu and the methodlogy of Image-Number Theory in Hanshang Yizhuan.