• World Technopolis Review
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• v.3 no.1
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• pp.55-61
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• 2014

• Journal for History of Mathematics
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• v.24 no.1
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• pp.1-13
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• 2011

In Tian mu bi lei cheng chu jie fa(田畝比類乘除捷法) of Yang Hui suan fa(楊輝算法)), Yang Hui annotated detailed comments on the method to find roots of quadratic equations given by Liu Yi in his Yi gu gen yuan(議古根源) which gave a great influence on Chosun Mathematics. In this paper, we show that 'Zeng cheng kai fang fa'(增乘開方法) evolved from a process of binomial expansions of $(y+{\alpha})^n$ which is independent from the synthetic divisions. We also show that extending the results given by Liu Yi-Yang Hui and those in Suan xue qi meng(算學啓蒙), Chosun mathematican Hong Jung Ha(洪正夏) elucidated perfectly the 'Zeng cheng kai fang fa' as the present synthetic divisions in his Gu il jib(九一集).

• 중국학논총
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• no.72
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• pp.145-160
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• 2021

程頤作爲宋明理學思想家,在確立朱熹思想哲學體系方面產生了巨大影響｡特別是在修養論領域,程頤對修養論的研究與朱熹相比相對不完善｡程頤的修養體系以"主敬"爲中心,通過對敬的解釋,提出了修養學習的意義｡著眼於這一部分,希望通過"非對象性"探索在沒有對象關系的情況下也可以學習的敬工夫中與教育接軌的地方｡本論稿以將教化作爲國家政策的二程兄弟的教育宗旨爲背景,觀察當時重視教化的狀況,硏究程頤的"主敬"工夫的意義｡首先,通過程頤修養論理解思想哲學,進而把握教育家的宗旨,探索工夫原理,是有意義的工作｡

• Journal for History of Mathematics
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• v.18 no.3
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• pp.39-54
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• 2005

In Chinese Mathematics, Jia Xian(要憲) introduced Zeng cheng kai fang fa(增乘開方法) to get approximations of solutions of Polynomial equations which is a generalization of square roots and cube roots in Jiu zhang suan shu. The synthetic divisions in Zeng cheng kai fang fa give ise to two concepts of Fan il(飜積) and Yi il(益積) which were extensively used in Chosun Dynasty Mathematics. We first study their history in China and Chosun Dynasty and then investigate the historical fact that Chosun mathematicians Nam Byung Gil(南秉吉) and Lee Sang Hyuk(李尙爀) obtained the sufficient conditions for Fan il and Yi il for quadratic equations and proved them in the middle of 19th century.

• Journal of The Korean Astronomical Society
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• v.38 no.2
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• pp.299-302
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• 2005

Sprites, elves and blue jets are collectively denominated as the upper atmospheric transient luminous events (TLEs). They are recently discovered optical flashes between active thunderstorms and the ionosphere. In this report, a brief introduction to the most important characteristics of TLEs is given. Since 2001, scientists from the National Cheng Kung University have been performing yearly summer campaigns from various locations in Taiwan. The main achievements of their yearly campaign are presented.

• Wind and Structures
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• v.17 no.5
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• pp.537-552
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• 2013

Wind tunnel experiments were performed to study the wind loads on an inclined flat plate with and without a guide plate. Highly turbulent flow, which corresponded to free-stream turbulence intensity on the flat roof of low-rise buildings, was produced by a turbulence generation grid at the inlet of the test section. The test model could represent a typical solar collector panel of a solar water heater. There are up-stream movements of the separation bubble and side-edge vortices, more intense fluctuating pressure and a higher bending moment in the turbulent flow. A guide plate would result in higher lift coefficient, particularly with an increased projected area ratio of a guide plate to an inclined flat plate. The value of lift coefficient is considerably lower with increased free-stream turbulent intensity.

• Earthquakes and Structures
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• v.18 no.3
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• pp.379-390
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• 2020

Four full-scaled partially confined and unconfined masonry panels were tested with monotonic lateral loads. To study the effects of vertical force and boundary columns, two specimens with no boundary columns were subjected to different vertical forces, while two wing-wall specimens had the column placed eccentrically and in the middle, respectively. The specimens with no boundary columns exhibited ductile rocking behavior, where the lateral strength increased with increasing vertical compression. The wing-wall specimens with columns behaved as strut-and-tie systems. The column-panel interaction resulted in greater strength, lower deformation capacity and differences in failure modes. A comparison with analytical models showed that rocking strength can be accurately estimated using vertical force and the panel aspect ratio for panels with no boundary columns. The estimation for lateral strength on the basis of a panel section area indicated scattered error for wing-wall specimens.

• (The)Study of the Eastern Classic
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• no.63
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• pp.141-168
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• 2016

This paper studies Zhu Xi's critical comprehension about the theories of gewu zhizhi of senior Confucian scholars, focusing on the Daxue Zhangju, Daxue huowen, and Daxue huowen yulei of Zhuzi yulei. Zhu Xi described in depth the theory of gewu zhizhi of Sima Guang, disciples of the Cheng Yi(Lu Dalin, Xie Liangzuo, Yin Ch'un, Yang Shi), scholars of Hu-Xing province(Hu An-guo, Hu hong), Li Dong in the Daxue huowen and Daxue huowen yulei, by his understanding through a criticism of the theory of gewu zhizh, thereby formulating a theory of gewu zhizhi on the basis of Cheng Yi's theory. Through this criticism of senior Confucian scholars, Zhu Xi explained that the theory of gewu zhizhi was departed from a positive affirmation of things. Zhu Xi claimed that the crux of gewu zhizhi was a thorough understanding like a sudden release achieved by accumulating Li of things. This plan of Zhu Xi with respect to "Supplementary Chapter on the Gewu Zhizhi" showed that the theory of gewu zhizhi which was set up by himself corresponded to the theory of Cheng Yi's, and it was based on the Confucian tradition firmly.

• The Journal of Korean Philosophical History
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• no.31
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• pp.7-32
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• 2011

Cheng Yi(程?, 1033~1107) understood that nature is full of "changes(易)". And he noted that human being as part of nature also exists only in a series of changes, i.e. birth, growth, extinction and death. All things including human being arise from the same principle, or "Heavenly Principle." Hence human being can fundamentally be one with all other beings, or nature. It is called "Unity of all things(萬物一體)" and "Unity of heaven and human(天人合一)." This philosophical perspective cannot be regarded as being unique to Cheng only; neo-Confucian predecessors called "the five masters of the Northern Song(北宋五子)" anticipated Cheng's vision already. Nevertheless, Cheng elaborated on the shared vision, revealing his philosophical uniqueness. Cheng maintains that only human being receives the principle in the unstained form, and thereby is capable of being one with nature. The one who realizes her/his potential to be one with nature is a sage(聖人); for Cheng, the order and pattern found in nature is nothing other than moral principle that human beings have to live up to and vice versa. Cheng's idea on the principle which human being receives from Heaven no doubt relates to Mencian notion of the innate goodness of human nature(性善); the innate goodness of human nature is no other than Heavenly Principle, and to become a sage depends on whether one can realize her/his potential - human nature, i.e. Heavenly Principle in her/himself. For Cheng, human nature tantamount to Heavenly Principle has no evil quality; all the evil in the world comes from imperfect "physical endowment(氣質)," or "capacity(才)" which is various from person to person, making various personalities. Accordingly, the task of moral cultivation in Cheng's theory can translate into the matter of rectification of one's physical endowment.

• Proceedings of the KSRS Conference
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• 2003.11a
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• pp.159-161
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• 2003

Fitting the projected wire-frame model to the detected edge pixels on images by using least-squares approach, called Least-squares Model-image Fitting (LSMIF), is the key of the Model-based Building Extraction (MBBE). It is implemented by iteratively adjusting the model parameters to minimize the squares sum of distances from the extracted edge pixels to the projected wire-frame. This paper describes a series of experiments and studies on various factors affect the fitting results, including the edge detectors, the weighting rules, the initial value of parameters, and the number of overlapped images. The experimental result is not only helpful to clarify the influences of each factor, but is also able to enhance the robustness of the LSMIF algorithm.