• Journal for History of Mathematics
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• v.25 no.4
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• pp.53-67
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• 2012

Today, it is necessary to calculate orbits with high accuracy in space flight. The key words of Poincar$\acute{e}$ in celestial mechanics are periodic solutions, invariant integrals, asymptotic solutions, characteristic exponents and the non existence of new single-valued integrals. Poincar$\acute{e}$ define an invariant integral of the system as the form which maintains a constant value at all time $t$, where the integration is taken over the arc of a curve and $Y_i$ are some functions of $x$, and extend 2 dimension and 3 dimension. Eigenvalues are classified as the form of trajectories, as corresponding to nodes, foci, saddle points and center. In periodic solutions, the stability of periodic solutions is dependent on the properties of their characteristic exponents. Poincar$\acute{e}$ called bifurcation that is the possibility of existence of chaotic orbit in planetary motion. Existence of near exceptional trajectories as Hadamard's accounts, says that there are probabilistic orbits. In this context we study the eigenvalue problem in early 20th century in three body problem by analyzing the works of Darwin, Bruns, Gyld$\acute{e}$n, Sundman, Hill, Lyapunov, Birkhoff, Painlev$\acute{e}$ and Hadamard.

• Journal of the Korean Institute of Traditional Landscape Architecture
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• v.31 no.4
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• pp.84-94
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• 2013

This study scrutinizes the titles of serial poems on Japanese Apricot, which have lucid characters on season and time changes, having been appreciated and recited by the scholars in the Choseon Dynasty era and analyses the records of Zhang zi(1153~1235), a writer in Song(宋) Dynasty in China, having presented the objects harmonizing perfectly with Japanese Apricot. The results of this study categorizes the objects of Japanese Apricot appreciation and establishes the landscape characteristics on Japanese Apricot appreciation affiliated with as follows. First, the objects of Japanese Apricot appreciation are categorized into 'form of blossoms', 'natural feature(景物)', 'place of tree planting', 'the picturesque scene(景色)' and 'behavior'. Second, the scholars regarded the single trees whose branches are grotesque as the objects of appreciation and enjoyed them. They preferred white and single petal Japanese Apricot and admired red Japanese Apricot which has Taoism images. Third, they admired pines and camelias which represent fidelity and strength and valued Japanese Apricot with cranes which remind themselves of solitary scholars. Fourth, they appreciated the images of Japanese Apricot reflected on the water, and the poetically inspiring atmosphere where the trees are planted by the window. Fifth, the moon and snow were crucial weather conditions for appreciating. cold weather and time from night to dawn were ideally suited for enjoying. Sixth, they enjoyed blossoms in various fashions like bottling(甁梅), potting(盆梅), green-housing(龕梅), searching(龕梅) and black-and-white painting(墨梅) with a view to seeing blossoms earlier than the usual flowering time. Moreover, they used paper drapes, bead curtains, mirrors and ice lamps for active appreciation. They also listened to the sound of Piri(wind) and Geomungo(string), played go and drew tea with noble and elegant beauties when they enjoyed Japanese Apricot. The scholars influenced by the neo-Confucianism, which contemplates the objects, attached the specific sentiments like memories, grieves, dreams and farewells to Japanese Apricot and appreciated them. As stated above the scholars enjoyed the landscape including the picturesque scene like climate-weather, time-season and human behaviors not to mention the physical beauty of Japanese Apricot themselves and objects in company with Japanese Apricot including animals and plants.

• Journal of the Korean Regional Science Association
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• v.35 no.3
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• pp.45-58
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• 2019

The government is recently pushing for five large-scale public housing sites near Seoul, the so-called third wave of new towns. In this regard, this study sought to analyze the key considerations in planning new towns from the perspective of the residents who are the consumers, using survey data. For this purpose, frequency analysis and variance analysis(ANOVA) were conducted on existing first and second era of new towns and the third era of new towns scheduled for construction. Eight indicators, such as environmental comfort, self-sufficiency such as jobs, transportation access and convenience, were set as subordinate variables, and characteristics of residents, including gender, age, number of households, household income, occupation, and residential areas, were set as explanatory variables. According to the analysis, the respondents rated the first era of new towns more positively than the second era of new towns. For self-sufficiency items such as jobs, both the first and second era of new towns showed low levels. In addition, for the eight indicators, the first era of new towns were no significant differences depending on gender, number of households, or household income, and the second era of new towns were no significant differences by the number of households, household income, occupations or place of residence. However, for new towns in the third period, the assessment of the importance of each indicator by age, number of households, household income and occupation showed significant differences. The results of the multi-comparison analysis of the third era of new towns showed that the importance of environmental comfort was highly valued by the youth, the managerial/professional/clerical position, single or five more persons of household, and the youth, high income household, the managerial/professional/clerical position when it comes to accessibility and convenience of transportation. It suggests that various personal characteristics and demands for each of the planning indicators need to be considered in planning for the third era of new towns.

• The Journal of Korean Philosophical History
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• no.32
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• pp.309-336
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• 2011

There were various linking points that connect Li xue(Neo-Confucianism) to aesthetics in Song Dynasty as following. 1. The traditional moral as "pursuing pleasure of Kong-zi and Yan Hui" 2. Esteem of "life and vitality". Scholars of Li xue in Song regarded the pleasure of acting up to "benevolence" as a beauty, and this benevolence originated in the "heaven and earth; the universe". "Benevolence", that is to say, is name of the nature that continuous reproduction breed in an endless succession by "Yin-Yang the universe", thus the natural "life and vitality" of the "heaven and earth" as the matter of course is the perfect beauty. 3. An idea of "serene contemplation". Originally the "serene contemplation" belongs to discipline of "Li xue", however simultaneously this conception was entirely applicable to aesthetic point of view. 4. Cosmological consciousness. In the same manner, the "pleasure" which is moralistic and moreover aesthetic is indivisible from cosmic contemplation itself. Because of this point, the art and aesthetics of Song Dynasty self-consciously had the cosmological consciousness in its fullness. 5. Respect of beauty of nature. Scholars of "Li xue" considered as : no matter what "Li" or "Qi" that producing all things is "coming of itself", that is by no means artificially operated or prearranged in advance. Such standpoint was applied to creative art and made art of Song Dynasty esteem beauty of nature (coming of itself) exceedingly. 6. Laying stress on "disposition". Scholars of "Li xue" ordinarily valued much of "disposition of a sage", consequently this tendency influenced on aesthetics. "disposition" indicates the whole impression that one who has appearance and the inside(personality, temper, thought, etc.) gives to others. By putting that impression into practice of art and literature, it is to materialize the works of art as a unity of form and subject, also as an expression of human existence that breathed into one's sensibility on the whole. 7. Principles of "completing inquiry", "study the laws of nature by close access" of "Li xue". These principles made art and literature of Song Dynasty take a serious view of "Li" of all over the universe, so made them close investigate things, and after all have achieved very remarkable characteristic in art and literature, especially in paintings of Song Dynasty. Theory of painting in Song Dynasty had occupied considerably high position in Chinese aesthetic history. It was positively superior to former generations no matter what in quantity or in theoretical minuteness and its systematic level. Undoubtedly the Chinese theory of painting had been achieving development time after time since Song Dynasty. However if we could make a comparison it with every single period (ex. Yuan, Ming, and Qing Dynasties), there is no prominent period than Song Dynasty in theory of paintings. Song period had number of essays of Landscape painting.