• Title/Summary/Keyword: Linking Theory

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MOUNTAIN PASS GEOMETRY APPLIED TO THE NONLINEAR MIXED TYPE ELLIPTIC PROBLEM

  • Jung Tacksun;Choi Q-Heung
    • Korean Journal of Mathematics
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    • v.17 no.4
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    • pp.419-428
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    • 2009
  • We show the existence of at least one nontrivial solution of the homogeneous mixed type nonlinear elliptic problem. Here mixed type nonlinearity means that the nonlinear part contain the jumping nonlinearity and the critical growth nonlinearity. We first investigate the sub-level sets of the corresponding functional in the Soboles space and the linking inequalities of the functional on the sub-level sets. We next investigate that the functional I satisfies the mountain pass geometry in the critical point theory. We obtain the result by the mountain pass method, the critical point theory and variational method.

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EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SCHRÖDINGER-KIRCHHOFF-TYPE EQUATIONS

  • CHEN, HAIBO;LIU, HONGLIANG;XU, LIPING
    • Journal of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.201-215
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    • 2016
  • In this paper, we consider the following $Schr{\ddot{o}}dinger$-Kirchhoff-type equations $\[a+b\({\int}_{{\mathbb{R}}^N}({\mid}{\nabla}u{\mid}^2+V(x){\mid}u{\mid}^2)dx\)\][-{\Delta}u+V(x)u]=f(x,u)$, in ${\mathbb{R}}^N$. Under certain assumptions on V and f, some new criteria on the existence and multiplicity of nontrivial solutions are established by the Morse theory with local linking and the genus properties in critical point theory. Some results from the previously literature are significantly extended and complemented.

A Study of Children's Edutainment Contents Design Based on Multiple Intellegence Theory (다중지능이론에 입각한 아동용 에듀테인먼트 콘텐츠 설계 연구)

  • Choi, Hyuck Jai
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.7 no.4
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    • pp.89-99
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    • 2011
  • Digital edutainment games and educational content to the concept of combining learning and to draw conclusions that can be varied and fun learning program. Yet effective design. There's a lot of discussion about the systematic and scientific research, explore the difficult, but so is the growing field of endless possibility. Merely a linguistic capabilities of human intelligence and mathematical ability were measured primarily on issues raised in the traditional intelligence tests, and emerged a variety of multiple intelligences theory of human intelligence classified into 8 types and characteristics of each intelligence activities and guidelines for faculty are presented. These lessons are based on multiple intelligences theory professor activities through the design study for students to form learning activities to meet effectively and systematically conducted classes, and student-specific classes can be designed. In this study, multiple intelligences theory, based on children's edutainment content by linguistic intelligence, and intrapersonal intelligence body-kinestic intelligent and can learn by linking to content that was designed. Children interested in animation and gaming content through the feeling that you can become stiff in Korean alphabet education to solve the quests were designed to be a natural puleonagal.

A Study on Existing Rubber Elasticity Theories for Stress-Strain Behavior of Rubber-like Networks

  • Meissner, B.
    • Elastomers and Composites
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    • v.38 no.2
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    • pp.157-166
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    • 2003
  • The Edwards-Vilgis slip-link theory and the Kaliske-Heinrich extended tube theory were tested experimentally using published experimental data on networks of natural and isoprene rubber and on polysiloxane networks. All parameters were adjusted to achieve an optimum fit. The data description obtained with the EV theory is not satisfactory and the parameter values tend to lie outside their reasonably expected range. But for the region of low strains, the Kaliske-Heinrich theory offers a satisfactorily accurate data description which is able to serve for practical purposes. Its crosslink term, however, is based on approximations which lead to a questionable prediction and values determined for the exponent in the entanglement term lie outside the range expected by the KH model. Thus, the title question cannot be given a positive answer. Conclusions published earlier that the trapped entanglements contribute both to the crosslink and constraint (entanglement) term are supported by the present data analysis. Experimental equibiaxial data on hydrocarbon networks do not show any maximum on their stretch ratio dependence, contrary to the predictions of molecular theories. The stretch ratio dependences of relative reduced stresses do not sensitively reflect differences in the chemical nature of the chain backbone (hydrocarbon vs. siloxane) and in the crosslinking method (end-linking vs. random crosslinking).

Dative as Semantic Structural Case

  • Jun, Jong-Sup
    • Language and Information
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    • v.7 no.1
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    • pp.69-86
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    • 2003
  • Contrary to the popular view that dative is idiosyncratic to verbs or particular theta roles, the distribution of dative is predictable from the distribution of other cases like nominative, accusative, instrumental, etc. That is, dative behaves like an unmarked or elsewhere choice for Non-Actor/Non-Patient (=NANP) roles. This paper develops a theory of semantic structural case under the framework of conceptual semantics (Jackendoff 1983, 1990, 1997, 2002). In my proposed analysis, dative is structurally mapped onto NANP entities in the conceptual structure. Important consequences about other peripheral roles are discussed in section 5.

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Ecological Analysis of Strategic Groups: An Interactive Perspective between Organizational Ecology and Strategic Management

  • Moon, Changho
    • Journal of Industrial Convergence
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    • v.2 no.1
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    • pp.73-89
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    • 2004
  • This study uses theoretical perspectives and models from organizational ecology to examine the dynamics and viability of strategic groups. Integrating the ecological perspective and the contingency theoretical view of strategic management, this study developed propositions demonstrating the impact of environmental density and variation on the effectiveness of strategic groups. Justifications for linking ecological perspectives to strategic management theory are discussed and the importance of the integrative approach to strategic management is highlighted.

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Application of Graph Theory for Analyzing the Relational Location Features of Cave as Tourists Attraction(I): focused on the structural analysis of network (동굴관광지의 관계적 입지특성 분석을 위한 그래프이론의 적용(I): 네트워크분석 기법의 적용을 중심으로)

  • Hong, Hyun-Cheol
    • Journal of the Speleological Society of Korea
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    • no.86
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    • pp.8-15
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    • 2008
  • This study is about the efficiency of graph theory that can be applied as the research analysis method in order to identify the relational location features of the caves favored as the ecological tourists attraction. Creating network with traffic nodes and surrounding tourists attractions in a certain space including the caves as the tourists attraction and structural analysis on the overall network using various kinds of index will be very useful method to identify the relational location features and benefits from linking the caves as the tourists attractions. In particular, it can be applied to set the spatial scope in the tourism development plan including the caves as the tourists attractions.

Linking Social Network to Education: The Potentials and Challenges

  • RHA, Ilju;BYUN, Hyunjung;KIM, Younyoung;HONG, Seoyon
    • Educational Technology International
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    • v.13 no.1
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    • pp.1-25
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    • 2012
  • Despite the relatively short history of Social Network Sites or Services (SNS), it has quickly gained popularity with more than seven hundred million users all over the globe. The SNS emerged as one of the strongest cultural influences for the contemporary society. The SNS would provide both chances and challenges for Education. The main purpose of the article was to explore the way education react and adapt to the emergence of social network and SNS. It tried to provide major theoretical grounds that bridge education and social network. In the due process, the researchers have examined the curriculum and instructional design process of education from the perspective of disruptive and sustainable aspect of SNS technology. Consequently, four major theoretical grounds were identified and reviewed: Gibson's theory of affordance, Vygotsky's social constructivism, Rha's human visual intelligence theory, and the network theory. By investigating these theories, the educational potentials of social network and SNS were emerged. The SNS was viewed as a new medium with abundant potentials of expanding the learning space, empowering the affective aspects of learning, and facilitating the formation of group intelligence. Finally, some future implications and challenges of SNS were suggested.

The Evolution of Caregiving and Attachment (양육과 애착의 진화)

  • Choi, SungKu
    • Korean Journal of Biological Psychiatry
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    • v.24 no.3
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    • pp.83-94
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    • 2017
  • Caregiving for the children seems to be one of the most challenging tasks for the parents who should devote themselves totally despite endangering them. From the evolutionary perspective, this human behavior must have been the advantage in the survival of the species and rooted in ethological origin. John Bowlby, a child psychiatrist, psychoanalyst, and great developmental researcher, had formulated the attachment theory linking psychoanalysis and ethology through evolutionary biology. His and later following researchers' outcomes have provided enormous influence on viewing parental caregiving and the insight of human relationships and interventions. This article overviews the attachment theory in terms of the goal oriented cybernetic system to gain the survival advantage of the offspring and investigates the evolutionary origin of the caregiving and attachment from the retiles of the Mesozoic era to the mammalian revolution and finally to the human being. Deeper understanding of the nurturance and adult relationships from the standpoint of evolution can provide clinical utility of awareness of clients' lives.