Che 1-p'yŏn. Ch'ŏndo wa inbŏp (inbŏpch'ŏn) -- 1. Kodae Chungguk ŭi inbŏpch'ŏn ch'ŏrhak sasang -- 2. Sŏnjin sidae ch'ŏnmyŏnggwan ŭi chŏn'gae -- 3. Sŏnjin sidae chŏnt'ong chaeigwan -- 4. Kunju wa minbon : Sŏnjin sidae kunju, minbollon kwa chŏhang, hyŏngmyŏng sasang -- 5. Ch'ŏndo ŭi naeyong kwa inbŏp ŭi panyŏng - Che 2-p'yŏn. Hangsang kwa pyŏnhwa -- 1. To ŭi hangsangsŏng kwa pyŏnhwasŏng -- 2. Pŏp ŭi hangsangsŏng kwa pyŏnhwasŏng -- 3. Pŏpchesasang hangsang kwa pyŏnhwa -- 4. Ch'im Ka-bon kwa (...) Yang Kye-ch'o ŭi pyŏnbŏmnon pigyo -- Che 3-p'yŏn. P'yŏnghwa ŭi pŏp kwa yebang pŏphak : punjaeng ŭi p'yŏnghwa haegyŏl kwa yebang. (shrink)

This paper analyzes the ‘Theory of Inverse Numbers’ that appears in Chapter 3 of the “Shuogua zhuan” 說卦傳 in the I Ching and seeks to apply the findings to the Yi studies of Cheng Yi. The Yi studies of Shao Yong, Zhu Xi, and Cheng Yi are generally explained in the categories of Xiangshu(Image-Number) Yi studies and Yili(Meaning-Principle) Yi studies. However, upon analyzing the ‘Theory of Inverse Numbers’ as a theory representing numbers of principles, it is evident that the framework (...) of this theory is also reflected in Cheng Yi’s Yi studies. The analysis of the ‘Theory of Inverse Numbers’ was conducted through the interpretations of Shao Yong and Zhu Xi, proposing the concept of the ‘Theory of Inverse Numbers’ as a Yi interpretation framework that accounts for what has already occurred [yisheng 已生] and what has not yet occurred [weisheng 未生]. By applying the Yi interpretation framework of what has arisen and what has not, which was developed through the explanations of Shao Yong and Zhu Xi, to Cheng Yi’s Yi studies, it is revealed that even though Cheng Yi does not directly mention Chapter 3 of the “Shuogua zhuan,” the narrative framework of Yichuan Yizhuan 伊川易傳 can be well elucidated by the ‘Theory of Inverse Numbers.’ Accordingly, it suggests that viewing Cheng Yi’s Yi studies merely as a dichotomy of meaning-principle and image-number is limited, and that the concept of Xiangshu Yi is inherent in Cheng Yi’s Yi studies. In other words, the ‘Theory of Inverse Numbers’ as a theory of principle-representing numbers originating from Shao Yong is inherent throughout Cheng Yi’s interpretation of the I Ching as a framework of Yi interpretation for what has arisen and what has not, and this was systematized as the ‘Theory of Inverse Numbers’ by Zhu Xi. (shrink)

Cancer chemotherapy has been the most common cancer treatment. However, it has side effects that kill both tumor cells and immune cells, which can ravage the patient’s immune system. Chemotherapy should be administered depending on the patient’s immunity as well as the level of cancer cells. Thus, we need to design an efficient treatment protocol. In this work, we study a feedback control problem of tumor-immune system to design an optimal chemotherapy strategy. For this, we first propose a mathematical model (...) of tumor-immune interactions and conduct stability analysis of two equilibria. Next, the feedback control is found by solving the Hamilton–Jacobi–Bellman equation. Here, we use an upwind finite-difference method for a numerical approximate solution of the HJB equation. Numerical simulations show that the feedback control can help determine the treatment protocol of chemotherapy for tumor and immune cells depending on the side effects. (shrink)

1. Iyagipʻyŏn -- 2. Tʻamgu haksŭppʻyŏn.