• Journal for History of Mathematics
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• v.25 no.1
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• pp.29-43
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• 2012

In this paper, we survey the history of search for axiomatic set theory and show that ${\exists}U(0{\in}U{\wedge}{\forall}x(x{\in}U{\leftrightarrow}{\exists}z(z{\in}U{\wedge}{\forall}y(y{\in}x{\rightarrow}y{\subseteq}z))){\rightarrow}$ ZR.

• Journal of Information Technology Services
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• v.10 no.4
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• pp.309-321
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• 2011

The u-City construction plan being executed presently involves such problem that services are provided in a suppliers-oriented direction while there are not much discussions on what u-Services citizens should be provided with and what u-Services that city government the supplier shall provide. In order to implement citizen-friendly u-Services the type of u-Services that offer just the right services efficient and convenient for citizens, u-Services should be provided based on active researches on the citizens' use and utilization of u-Services rather than u-Services being provided in suppliers' perspective as so far. To that end, there need be recognition and well-organized methodology that u-Services should be provided through humane, social and scientific analysis of the citizens that are to be provided with u-Services. Thus, in this study, the process of u-Services being transmitted was re-interpreted as background theory to deduce and apply services appropriate for u-Residential Space, and service science for u-Services the scientific and overall approach to seek for service innovation was applied to the development of u-Service deduction method based on such background theory. The u-Service methodology developed based on service science is judged able to deduce and provide u-Services appropriate for the intended services through scientific analysis of citizen-friendly u-Services.

• Strategy21
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• s.40
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• pp.37-81
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• 2016

This paper aims to use crossover analysis to uncover similarities and differences between the U.S-Japan relationship in the World War II era and the modern U.S-China relationship, and to forecast the possibility of the outbreak of war between U.S and China by applying the steps to war theory. The steps to war theory argues that the probability of the outbreak of war between two states within five years would approach 90 percent, if they have ongoing territorial dispute, alliance, rivalry, and arms race. The comparison exposes some similarities with the territorial dispute, alliance, rivalry, but reveals dissimilarities with arms race. U.S-Japan relationship in the World War II era had the arms race, which does not exist the modern U.S-China Relationship. The result of comparison is that the probability for the Outbreak of War between U.S and China correspond to third stage(Risk Level). it means that the probability for the Outbreak of War between U.S and China is 55%. But, There are four elements(① Perception of Leader ② Mutual dependence of economy ③ Possession of nuclear weapon ④ Ravages of war) that reduce the probability for the Outbreak of War. Considering the four elements, the probability for the Outbreak of War between U.S and China is a slim chance. But the probability for the Outbreak of War between U.S and China is excluded because of territorial dispute, alliance, rivalry. So, This paper suggests three points.(① Developing military options ② Reducing the misconception of intend, ③ Promoting navy exchanges) to prevent of Outbreak of War.

• Journal of Digital Convergence
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• v.19 no.1
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• pp.389-399
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• 2021

The research background of this paper is because the u-convergence information system applying flow theory lacks the measurement of tourist satisfaction. The purpose and research method of this study are as follows. The first is the suggestion of flow relation information display format algorithm. Second, by combining this algorithm and flow theory, a pattern algorithm was created according to the content information quality and the personality type of tourists. The expected effect of this study is to derive the success factors of the u-convergence information system by generating a pattern algorithm according to the flow relationship information display format and the tourist's personality type. The limitations of this paper are limited to one area, and objectivity is poor due to the lack of data and small area. In the future, it is necessary to evaluate the effectiveness through analysis after applying the method presented to other tourist destinations. Future tasks will need to be supplemented with data from expert groups and objectivity in various regions.

• Journal of Korean Philosophical Society
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• v.117
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• pp.35-55
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• 2011

This article purports to clarify the doctrinal characteristics of the $Yog{\bar{a}}c{\bar{a}}ra$ school's hermeneutic interpretations of the "theory of the three turns of the Dharma Cakra" in the Saṃdbinirmocana-sūtra through early Indian $Yog{\bar{a}}c{\bar{a}}ra$ treatises such as the $Yog{\bar{a}}c{\bar{a}}rabb{\bar{u}}mi-vy{\bar{a}}kby{\bar{a}}$ and the. $Vy{\bar{a}}khy{\bar{a}}yukti$. It will probe how these interpretations apply co the theory of two truths or that of three natures($trisvabh{\bar{a}}va$) among the main doctrines of the $Yog{\bar{a}}c{\bar{a}}ra$ school. Especially, the peculiar characteristic of the "theory of the three turns of the Dharma Cakra" is such chat the thought of ${\acute{s}}{\bar{u}}nyat{\bar{a}}$ in the lineage of $Praj{\bar{n}}{\bar{a}}p{\bar{a}}ramita-s{\bar{u}}tras$ is regarded as incomplete, as the early school of Madhyamaka represented by $N{\bar{a}}g{\bar{a}}rjuna$ is conceived of as belonging to the second period of turn. Speaking of the further details of the "theory of the three turns of the Dharma Cakra", the $Yog{\bar{a}}c{\bar{a}}ra$ school subdivides the realm of saṃvṛti satya in $N{\bar{a}}g{\bar{a}}rjuna^{\prime}s$ theory of two truths; that is, it divides the saṃvṛti into merely linguistic existence and actual existence, and the thus-created structure of the theory of three natures on the basis of ocher-dependent nature(paratantra-$svabh{\bar{a}}va$) makes it possible to establish the doctrinal system of the thought of ${\acute{s}}{\bar{u}}nyat{\bar{a}}$ that is not subject to "nihilism or ${\acute{s}}{\bar{u}}nyat{\bar{a}}$ attached to evil." In effect, the above hermeneutic interpretation of the "theory of the three turns of the Dharma Cakra" is inherited into the structure of the $abh{\bar{u}}taparikalpa$ in the $Madhy{\bar{a}}nta-vibh{\bar{a}}ga$ so that, as seen in the commentary of Sthiramati, it is ascertained to apply to later doctrines through its secure establishment. To summarize its characteristics succinctly, firstly the $abh{\bar{u}}taparikalpa$ newly established as a saṃvṛti-satya is set up as the other-dependent nature, which is seen to have been set up particularly in order to sublate both the $Sarv{\bar{a}}stiv{\bar{a}}da^{\prime}s$ realist "view of being" and the Madhyamaka's "view of ${\acute{s}}{\bar{u}}nyat{\bar{a}}$" that impairs the ocher-dependent nature as a samvṛti-satya. In other words, according to the five kinds of views suggested in Sthiramati's commentary, the three natures are seen to be presented as the fundamental truth in order to unify all the doctrinal systems available ever since the beginning of Buddhism. Then, the theory of three natures is established principally on the basis of the $abh{\bar{u}}taparikalpa$, while the two truths of the $Yog{\bar{a}}c{\bar{a}}ra$ school are clearly ascertained to have been embedded in the structure of the $abh{\bar{u}}taparikalpa$. In fact, this might be understood to reflect the unique ontological view of reality or truth in the $Yog{\bar{a}}c{\bar{a}}ra$ School.

• Bulletin of the Korean Mathematical Society
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• v.54 no.3
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• pp.895-909
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• 2017

This paper is concerned with the following fourth-order elliptic equations $${\Delta}^2u-{\Delta}u+V(x)u-{\frac{k}{2}}{\Delta}(u^2)u=f(x,u),\text{ in }{\mathbb{R}}^N$$, where $N{\leq}6$, ${\kappa}{\geq}0$. Under some appropriate assumptions on V(x) and f(x, u), we prove the existence of infinitely many negative-energy solutions for the above system via the genus properties in critical point theory. Some recent results from the literature are extended.

• Korean Journal of Mathematics
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• v.16 no.2
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• pp.165-172
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• 2008

We investigate the multiplicity of solutions of the nonlinear biharmonic equation with Dirichlet boundary condition,${\Delta}^2u+c{\Delta}u=bu^{+}+s$, in ­${\Omega}$, where $c{\in}R$ and ${\Delta}^2$ denotes the biharmonic operator. We show by degree theory that there exist at least three solutions of the problem.

• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.411-422
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• 2010

By using the fixed point index theory, we investigate the existence of at least two positive solutions for p-Laplace equation with sign-changing nonlinear terms $(\varphi_p(u'))'+a(t)f(t,u(t),u'(t))=0$, subject to some boundary conditions. As an application, we also give an example to illustrate our results.

• Proceedings of the KIEE Conference
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• 1998.07b
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• pp.635-637
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• 1998

Based on wavelet theory, the new notion of wavelet networks is proposed as alternative to feedforward neural networks for approximating arbitrary nonlinear functions. An algorithm presented in this paper trains coefficients of wavelet. i.e., translations and scaling., and then learns weights with the wavelet coefficients. And experimental results are reported.

• Geomechanics and Engineering
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• v.2 no.2
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• pp.157-160
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• 2010