• Journal of the Korean Society of Costume
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• v.58 no.2
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• pp.15-33
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• 2008

Continuity and discontinuity is a relative concept, and there are various categories of the continuity and discontinuity in our circumference. Generally, characteristics of postmodernism including between the difference and the variety have being regarded as a discontinuity. Concept of the continuity includes between the quantitative continuity and the qualitative continuity qualitative continuity has organic characteristic, which encourages creating something permanently through the flowing of the time. Therefore, this thesis has studied like this complex social condition and various relationships expressed in modern fashion focusing on permanently creative movements and behaviors equal to the 'continuance' theory of Herni Bergson and 'continuity' theory of Jill Deleuze. This thesis classifies characteristics of the qualitative continuity into spatiotemporal and spatial continuity, and subdivides into 3 sets: perceptual continuity, spatial continuity, transferring continuity of physical experience, immaterial informational continuity, and fluid continuity with environment. Continuous viewpoint, which accepts the existing elements and allows them to flow liberally, should be present more appropriative thinking direction in explaining the complex situation expressed in the modern fashion, rather than discontinuous viewpoints focused on the only changing moment.

• Korean Journal of Mathematics
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• v.22 no.4
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• pp.711-723
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• 2014

We prove in this paper the absolute continuity of the representing measures of the hypergeometric translation operators $\mathcal{T}_x$ and $\mathcal{T}_x^W$ associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type $B_2$ and $C_2$ which are studied in [9].

• Korean Journal of Social Welfare
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• v.65 no.1
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• pp.247-270
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• 2013

This study started from a question about the causal relationship between employment continuity and quality of life of the elderly participating the Senior Employment Project. Based on Continuity theory and Similarity Model, this study investigated that direct impacts of continuity of employment on depression and life satisfaction and indirect impacts on depression and life satisfaction through job satisfaction and self efficacy. The study was designed as a social survey research. Data from 700 participants of the senior employment project was analyzed. The results revealed that only continuity of type of employment directly impacted on life satisfaction, and continuity of salary and expressed importance on continuity of employment indirectly impacted on depression as well as life satisfaction through self efficacy.

• Structural Engineering and Mechanics
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• v.89 no.2
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• pp.199-211
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• 2024

The loading capacity of engineering structures/components reduces after the initiation and propagation of crack eventually leads to the final failure. Hence, it becomes essential to deal with the crack and its effects at the design and simulation stages itself, by detecting the prone area of the fracture. The phase-field (PF) method has been accepted widely in simulating fracture problems in complex geometries. However, most of the PF methods are formulated with second order continuity theoryinvolving C⁰ continuity. In the present study, PF method based on fourth-order (i.e., higher order) theory, maintaining C¹ continuity has been proposed for ductile fracture simulation. The formulation includes fourth-order derivative terms of phase field variable, varying between 0 and 1. Applications of fourth-order PF theory to ductile fracture simulation resulted in novelty in this area. The proposed formulation is numerically solved using a two-dimensional finite element (FE) framework in 3-layered manner system. The solutions thus obtained from the proposed fourth order theory for different benchmark problems portray the improvement in the accuracy of the numerical results and are well matched with experimental results available in the literature. These results are also compared with second-order PF theory and a comparison study demonstrated the robustness of the proposed model in capturing ductile behaviour close to experimental observations.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.2
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• pp.83-93
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• 2009

Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy $\alpha$-I-open and r-fuzzy $\beta$-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy $\alpha$-I-openness (r-fuzzy pre-I-openness) sets regardless the fuzzy ideal topological space in Sostak sense. Moreover, we give a decomposition of fuzzy continuity, fuzzy ideal continuity and fuzzy ideal $\alpha$-continuity, and obtain several characterization and some properties of these functions. Also, we investigate their relationship with other types of function.

• Steel and Composite Structures
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• v.23 no.1
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• pp.41-51
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• 2017

A $C^0$ FE model developed based on an efficient higher order zigzag theory is used for hygrothermal analysis of laminated composite plates. The $C^0$ FE model satisfies the inter-laminar shear stress continuity at the interfaces and zero transverse shear stress conditions at plate top and bottom. In this model the first derivatives of transverse displacement have been treated as independent variables to circumvent the problem of $C^1$ continuity associated with the above plate theory. In the present theory the above mentioned $C^0$ continuity of the present element is compensated in the stiffness matrix formulation by using penalty parameter approach. In order to avoid stress oscillations observed in the displacement based finite element, the stress field derived from temperature/moisture fields (initial strains) must be consistent with total strain field. Special steps are introduced by field consistent approach (e.g., sampling at gauss points) to compensate this problem. A nine noded $C^0$ continuous isoparametric element is used in the proposed FE model. Comparison of present numerical results with other existing solutions shows that the proposed FE model is efficient, accurate and free of locking.

• Korean Journal of Logic
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• v.12 no.2
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• pp.171-199
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• 2009

This essay will consider evolutionary views that attempt to capture the continuity of theory-change from Newtonian to Einsteinian physics via the formal aspects of these theories. Although it cannot be denied that the formal aspects such as 'correspondence principles' and 'covariance principles' provide important information concerning this theory-change, these formal properties are not sufficient to capture the essential elements of any evolutionary account of the development of Einstein's special and general theories of relativity from Newtonian mechanics.

• Transactions of the Korean Society of Mechanical Engineers
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• v.18 no.1
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• pp.65-76
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• 1994

A higher-oder laminated plate theory including the effect of transverse shear deformation is developed to calculate the gross response and the detailed stress distribution. The theory satisfies the continuity condition of transverse shear stress, and accounts for parabolic variation of the transverse shear stresses through the thickness of each layer. Exact closed-ply laminates are obtained and the results are compared with three-dimensional elasticity solutions and a simple higher-order theory solutions. The results of the present work exhibit acceptable accuracy when compared to the three-dimensional elasticity solutions.

• Bulletin of the Korean Mathematical Society
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• v.22 no.2
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• pp.89-93
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• 1985

One of the most important problems in automatic continuity theory is to solve the question of continuity of an algebra homomorphism from a Banach algebra into a semisimple Banach algebra with dense range. Many results on this subject are obtained imposing some conditions on the domains or the ranges of homomorphisms. For most recent results and references in automatic continuity theory one may refer to [1], [4] and [5]. In this note we study some properties of homomorphisms from $C^{*}$-algebras into Banach algebras. It is shown that the range of an isomorphism from a $C^{*}$-algebra into a Banach algebra contains no non zero element of the radical of B. Using this result we show that the same holds for a continuous homomorphism, hence a Banach algebra which is the image of a $C^{*}$-algebra under a continuous homomorphism is necessarily semisimple. Thus if there is a homomorphism from a $C^{*}$-algebra onto a non-semisimple Banach algebra it must be discontinuous. Also it follows that every non zero homomorphism from a $C^{*}$-algebra into a radical algebra is discontinuous. Then we make a brief observation on the behavior of quasinilpotent element of noncommutative $C^{*}$-algebras in relation with continuous homomorphisms.momorphisms.

• Journal of Families and Better Life
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• v.22 no.6 s.72
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• pp.191-199
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• 2004

The main purpose of this study was to examine the impact of religious participation on the depression of elder adults in USA. Specifically, this study examined how the influence of religious participation varied according to continuity or discontinuity of participation. Data from N=1,658 adults aged 65-90 who were respondents to two waves of the U.S. National survey of Families and Households 1987-1993 were used for these analyses. Depression was measured with a 12-item (of the original 20) modified version of the CES-D (Center for Epidemiological Studies-Depression). Multivariate regression models controlling for several demographic variables were estimated. Some clear evidence was found supporting activity theory and continuity theory That is, participating in a religious organization role at Time 2 but not Time 1 (T1 No - T2 Yes) and being continuously involved in religious organizations both at Time 1 and Time 2 (T1 Yes -T2 Yes) were associated with reduced depression, compared to continuous nonparticipation in religious organizations (71 No -72 No).