• Journal of the Korean Mathematical Society
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• 제49권4호
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• pp.843-854
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• 2012

In this paper, the iterative Uzawa method with a modified Lagrangian functional is investigated to seek a saddle point for the semicoercive variational Signorini inequality.

• Bulletin of the Korean Mathematical Society
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• 제58권2호
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• pp.365-384
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• 2021

Let A be an expansive dilation on ℝn, and p(·) : ℝn → (0, ∞) be a variable exponent function satisfying the globally log-Hölder continuous condition. Let Hp(·)A (ℝn) be the variable anisotropic Hardy space defined via the non-tangential grand maximal function. In this paper, the author obtains the boundedness of anisotropic convolutional ��-type Calderón-Zygmund operators from Hp(·)A (ℝn) to Lp(·) (ℝn) or from Hp(·)A (ℝn) to itself. In addition, the author also obtains the duality between Hp(·)A (ℝn) and the anisotropic Campanato spaces with variable exponents.

• Nonlinear Functional Analysis and Applications
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• 제26권3호
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• pp.611-628
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• 2021

In this paper, we propose a new branch-reduction-and-bound algorithm to solve the nonlinear knapsack problems by using general discrete monotonic optimization techniques. The specific properties of the problem are exploited to increase the efficiency of the algorithm. Computational experiments of the algorithm on problems with up to 30 variables and 5 different constraints are reported.

• East Asian mathematical journal
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• 제25권1호
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• pp.97-105
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• 2009

In this paper, we prove a strong convergence theorem for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the modified Ishikawa iteration method. Our results improved and extend the corresponding results announced by many others.

• Journal of Korean Physical Therapy Science
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• 제3권3호
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• pp.71-85
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• 1996

The Quality of physical therapy school system has conflicts between physical therpist, and reduces the opportunity of seguential education. So this study was investigated in order to made concrete the problems of educational duality, set up the direction of the school system's improvement, as like the four-year system and recognized the necessity. The curriculums of 13 colleges and 5 universities was analyzed. The curriculum analysis was made up the comparison and the analysis by a liberal arts point, a major point, a clinical practice point, total opening subjects, and so on. The analyzing results were as follows. 1. The average rates of a liberal arts vs. a major opening point are 17:83 in college, and are 27:73 in university. 2. It is a serious problem that college are lower than university in a liberal arts. The best method that can solve it is lengthen the number of school years. 3. There is no difference between college and university in a major subject. Rather college has the more subject's numbers than university. 4. There is no difference between college and university in a clinical practice. Above results suggests that there is not different between college and university in a major subject except for a liberal arts point. It is proper that one should be unificate the curriculum according to the sameness between a state examination and a license. Therefore, it is necessary for graduates from college that provides the opportunity of proceeding to a higher school, demands the seguential system of study cultivating and producing a bachelor, and requires the continual education in a clinical field, a bachelor admitting system of continual education, and clinical therapist's qualification. The present physical therapy educational systems should be unificated because of many right reasons. On the other hand, the follw-up study that improving the school system about the four-years and the more physical therapy should be continue from the viewpoint of education.

• School Mathematics
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• 제5권1호
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• pp.135-149
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• 2003

We present an understanding about students' conceptual model of differential equations, based on the discourse data that were collected in a differential equations course at a university in Korea. An interpretive approach is taken to analyze classroom discourse. This paper consists of three main parts. First, we completely analyze the students' use of conceptual metaphor in a university differential equations class. Secondly, we identify conceptual metaphors representing students' conceptual model of differential equations. Finally, we describe the mathematical characteristics of the conceptual metaphors identified in detail. Among other things, this paper reveals that there exists dual aspects of the students' conceptual model of differential equations. In other words, in the differential equations course observed we found that the students very often used two kinds of conceptual metaphor,“machine metaphor”and“fictive motion metaphor”, that have contrastingly different mathematical characteristics. In order to interpret the duality, we take a sociocultural perspective, and this perspective suggests and helps us to realize the significance of understanding of cognitive diversity in mathematics classroom.

• Korean Journal of Mathematics
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• 제24권3호
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• pp.409-445
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• 2016

The class $\mathcal{W}^{\delta}_{\beta}({\alpha},{\gamma})$ defined in the domain ${\mid}z{\mid}$ < 1 satisfying $Re\;e^{i{\phi}}\((1-{\alpha}+2{\gamma})(f/z)^{\delta}+\({\alpha}-3{\gamma}+{\gamma}\[1-1/{\delta})(zf^{\prime}/f)+1/{\delta}\(1+zf^{\prime\prime}/f^{\prime}\)\]\)(f/z)^{\delta}(zf^{\prime}/f)-{\beta}\)$ > 0, with the conditions ${\alpha}{\geq}0$, ${\beta}$ < 1, ${\gamma}{\geq}0$, ${\delta}$ > 0 and ${\phi}{\in}{\mathbb{R}}$ generalizes a particular case of the largest subclass of univalent functions, namely the class of $Bazilevi{\check{c}}$ functions. Moreover, for 0 < ${\delta}{\leq}{\frac{1}{(1-{\zeta})}}$, $0{\leq}{\zeta}$ < 1, the class $C_{\delta}({\zeta})$ be the subclass of normalized analytic functions such that $Re(1/{\delta}(1+zf^{\prime\prime}/f^{\prime})+1-1/{\delta})(zf^{\prime}/f))$ > ${\zeta}$, ${\mid}z{\mid}$<1. In the present work, the sucient conditions on ${\lambda}(t)$ are investigated, so that the non-linear integral transform $V^{\delta}_{\lambda}(f)(z)=\({\large{\int}_{0}^{1}}{\lambda}(t)(f(tz)/t)^{\delta}dt\)^{1/{\delta}}$, ${\mid}z{\mid}$ < 1, carries the fuctions from $\mathcal{W}^{\delta}_{\beta}({\alpha},{\gamma})$ into $C_{\delta}({\zeta})$. Several interesting applications are provided for special choices of ${\lambda}(t)$. These results are useful in the attempt to generalize the two most important extremal problems in this direction using duality techniques and provide scope for further research.

• Journal of Environmental Science International
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• 제16권4호
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• pp.505-521
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• 2007

This study estimated response of water duality and pollutant behavior according to the discharge and reuse of treated wastewater by three-dimensional eco-hydrodynamic model, and suggest plan that water quality management and environmental restoration in the coastal area including urban stream of Yeosu, Korea. Dispersions of low-saline water and COD by treated wastewater loads (design facility capacity, about $110,000m^3/d$) were very limited in near of effluent site. Nutrients, however, increase compared to the other water quality factors, especially total nitrogen was very sensitive to input loads. When reuse some of treated wastewater to Yeondeung stream, nitrogen was big influence on estuarine water quality. Although current characteristics of treated wastewater such as discharge and water quality were negligible to the change of marine environment, effluent concentration of COD, TN and TP, especially 40% of TN, are reduced within the allowable pollutant loads for satisfy environmental capacity and recommended water duality criteria. Also, controls of input point/non-point sources to Yeondeung stream and base concentration of pollutants in coastal sea itself are very necessary.

• The KIPS Transactions:PartB
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• 제12B권5호
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• pp.607-616
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• 2005

Due to the limited resources in thin-client and the large amount of computation for decoding MPEG media, it is not easy to support the QoS stream media to clients. To solve the problems, the terminal servers would be charged for decoding the MPEG media and thin-clients have a role to update only the changed areas in their screen. However, these previous approaches cause severely low video quality. In addition, since servers perform all procedures to decode MPEG media, they are easily saturated even under a small number of clients. In this paper, the sources of the low video duality are investigated in the previous thin-clients' solutions working in wireless and wired environments. From the detailed experiments, an intelligent media player is proposed to achieve the QoS streams by supporting both the enhanced video duality and the audio synchronized with video frames.

• The Journal of the Korea Contents Association
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• 제19권11호
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• pp.507-515
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• 2019

The positive effects of 'robot actor' born in the age of artificial intelligence on the characteristics of theater (comprehensive, liveness, duality, planning) is due to the collaboration with 'robot' engineers, which increases the comprehensive. It is possible to respond to it, so that various reaction are maintained in every performance, and enhanced illusion can be provided in 'robot' material works in which 'robot actor' plays the role of 'robot'. However, the power focused on the director can reduce the comprehensiceness, the synthesis is reduced, and the 'robot actor' cannot perform the sweat or breath of 'human actor'. In itself, duality is incomplete. In addition, there is a high risk that the improvisation within the scope of planning is likely to occur as a sudden reaction, which may limit the postponement of the 'human actor'. Based on these findings, 'philosophy', 'science' and 'art' can predict the development of artificial intelligence side by side. It is considered necessary to study to redefine the direction and identity of arts and theater that should be moved forward.