• Journal of the Daesoon Academy of Sciences
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• v.17
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• pp.73-92
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• 2004

The present article deals with the concept 'ekayāna' as the spirit of the times in the period of Unifying War in Shilla, which is embodied in the thought of Wonhyo and Euisang. This article is divided into five sections. Section I introduces the background of research history regarding the spirit of the age during the Unifying War, and explaines the reason why we adopted two thinkers such as Wonhyo and Euisang, especially the concept 'ekayāna' of the two as a subject for inquiry. Section II discusses on the hermeneutical difference between the Chinese Faxiang sect and Wonhyo regarding the interpretation of one passage from Saṃdhinirmocana-Sūtra, in which the relation between ekayāna and triyāna is explained. It is noteworthy that Faxiang sect places emphasis on the differentiation of triyāna, but Wonhyo gives emphasis to equality of ekayāna. Section III refers to the hermeneutical horizons of Wonhyo which is connoted in the interpretation of Saṃdhinirmocana-Sūtra, especially focusing on the concept 'ekayāna'. Here we can make a conclusion as follows; Firstly, the 'ekayāna' in Wonhyo is immanent in 'triyāna' and at the same time transcendental from 'triyāna', so to speak 'com-transcendetal' with 'triyāna'. Secondly, there is inseparable and unmixable relation between 'ekayāna' and beings. In another words, 'ekayāna' is śūnyatā. Thirdly, 'ekayāna' is a kind of universal truth(普法 pŭ fă) in that it offers the benefit to open and develop the immanent buddhadhātu of all living lives. In addition to Wonhyo's thought on ekayāna, section IV refers to the concept 'ekayāna' of Euisang. On Euisang, 'ekayāna' is 'the perfect teaching(圓敎 yuán jiào)' and 'pratītyasamutpāda'. From this point of view, we can conclude that the thought on ekayāna between the two, Wonhyo and Euisang is not different, and completely coherent. As a result, as it is concluded in section V, it is also clear that ekayāna has 'com-transcendental' relation to triyāna. Therefore we can safely make a conclusion that the spirit of the times in the period of Unifying War in Shilla among the leading thinkers is the vision for 'com-transcendency'.

• Korean Institute of Interior Design Journal
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• v.21 no.1
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• pp.51-58
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• 2012

The purpose of this study is to present the cognition of speculative aesthetics in the architectural space. Architectural space as the subject of the aesthetical study has been ignored such a long period though it should be centered of the whole architectural theory. Even it has not been dealt with independently but just only as a part of aesthetic or artistic field. Also it is also true that academic approach to the architectural space as per the aesthetic recognition has not been done so satisfactorily. The transcendental subjectivity as the aesthetic cognitive viewpoint of the architectural space means speculative aesthetics and the understands the essential meaning of the function and composition The conclusions of this study are as follows : The formalistic cognitive concepts including organic functional space between the whole and the part and anti-cubic synchronous space are included in the architecture of the speculative cognition, and finally the contextual cognitive concepts including the restoring analogical space of the in-depth constituent factors and associated centripetal spaces.

• Communications of the Korean Mathematical Society
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• v.32 no.2
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• pp.361-373
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• 2017

In this paper, we utilize the Nevanlinna theory and uniqueness theory of meromorphic function to investigate the differential-difference analogue of $Br{\ddot{u}}ck$ conjecture. In other words, we consider ${\Delta}_{\eta}f(z)=f(z+{\eta})-f(z)$ and f'(z) share one value or one small function, and then obtain the precise expression of transcendental entire function f(z) under certain conditions, where ${\eta}{\in}{\mathbb{C}}{\backslash}\{0\}$ is a constant such that $f(z+{\eta})-f(z){\not\equiv}0$.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.25 no.12
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• pp.2040-2047
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• 2001

In this paper, a singularity problem of the state transition matrix is investigated in the spatial propagation when the spatial matrix differential equation is constructed via time finite element analysis. A parametric study shows that the degree of singularity of the state transition matrix depends on the degree of flexibility of the structures. As an alternative to avoid the numerical problems due to the singularity, an analytic solution fur spatial propagation of the flexible structures is proposed. In the proposed method, the spatial properties of the structure are analytically expressed by a combination of transcendental functions. The analytic solution serves fast and accurate results by eliminating the possibility of the error accumulation caused by the boundary condition. Several numerical examples are shown to validate the effectiveness of the proposed methods.

• Bulletin of the Korean Mathematical Society
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• v.53 no.1
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• pp.49-60
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• 2016

In this paper, we investigate the high order difference counterpart of $Br{\ddot{u}}ck^{\prime}s$ conjecture, and we prove one result that for a transcendental entire function f of finite order, which has a Borel exceptional function a whose order is less than one, if ${\Delta}^nf$ and f share one small function d other than a CM, then f must be form of $f(z)=a+ce^{{\beta}z}$, where c and ${\beta}$ are two nonzero constants such that $\frac{d-{\Delta}^na}{d-a}=(e^{\beta}-1)^n$. This result extends Chen's result from the case of ${\sigma}(d)$ < 1 to the general case of ${\sigma}(d)$ < ${\sigma}(f)$.

• Journal of the Korean Mathematical Society
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• v.46 no.4
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• pp.747-758
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• 2009

In this paper, we investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Because of the restriction of differential equations, we obtain that the properties of fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives are more interesting than that of general transcendental meromorphic functions. Our results extend the previous results due to M. Frei, M. Ozawa, G. Gundersen, and J. K. Langley and Z. Chen and K. Shon.

• Bulletin of the Korean Mathematical Society
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• v.50 no.2
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• pp.353-373
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• 2013

In this paper, a class of delayed predator-prey models of prey migration and predator switching is considered. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulations for justifying the theoretical analysis are also provided. Finally, biological explanations and main conclusions are given.

• Bulletin of the Korean Mathematical Society
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• v.57 no.5
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• pp.1259-1267
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• 2020

On the periodicity of transcendental entire functions, Yang's Conjecture is proposed in [6, 13]. In the paper, we mainly consider and obtain partial results on a general version of Yang's Conjecture, namely, if f(z)ⁿf^(k)(z) is a periodic function, then f(z) is also a periodic function. We also prove that if f(z)ⁿ+f^(k)(z) is a periodic function with additional assumptions, then f(z) is also a periodic function, where n, k are positive integers.

• Bulletin of the Korean Mathematical Society
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• v.57 no.5
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• pp.1095-1113
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• 2020

In this paper, we investigate the transcendental meromorphic solutions for the nonlinear differential equations $f^nf^{(k)}+Q_{d_*}(z,f)=R(z)e^{{\alpha}(z)}$ and fⁿf^(k) + Q_d(z, f) = p₁(z)e^α₁(z) + p₂(z)e^α₂(z), where $Q_{d_*}(z,f)$ and Q_d(z, f) are differential polynomials in f with small functions as coefficients, of degree d_* (≤ n - 1) and d (≤ n - 2) respectively, R, p₁, p₂ are non-vanishing small functions of f, and α, α₁, α₂ are nonconstant entire functions. In particular, we give out the conditions for ensuring the existence of these kinds of meromorphic solutions and their possible forms of the above equations.

• Korean Journal of Cognitive Science
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• v.1 no.1
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• pp.103-127
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• 1989

Learning systems by using examples have been developed which include ALEX, LP, and LEX.Specially Silver's LP systems suggerts the method to use a seyuence of operators, which was applied to the worked example, to sove a symbolic equation.This paper presents the new learning system, called LRD, in which generalization and discrimination steps are suggerted to solv all the problems similar to the worked example.The system LRD is illustrated by the problem of finding the ranges of transcendentral functions and compared to LP and LEX by the problems discussed in them.