• Title/Summary/Keyword: Z-order

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FINITE ELEMENT APPROXIMATION OF THE DISCRETE FIRST-ORDER SYSTEM LEAST SQUARES FOR ELLIPTIC PROBLEMS

  • SHIN, Byeong-Chun
    • Communications of the Korean Mathematical Society
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    • v.20 no.3
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    • pp.563-578
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    • 2005
  • In [Z. Cai and B. C. Shin, SIAM J. Numer. Anal. 40 (2002), 307-318], we developed the discrete first-order system least squares method for the second-order elliptic boundary value problem by directly approximating $H(div){\cap}H(curl)-type$ space based on the Helmholtz decomposition. Under general assumptions, error estimates were established in the $L^2\;and\;H^1$ norms for the vector and scalar variables, respectively. Such error estimates are optimal with respect to the required regularity of the solution. In this paper, we study solution methods for solving the system of linear equations arising from the discretization of variational formulation which possesses discrete biharmonic term and focus on numerical results including the performances of multigrid preconditioners and the finite element accuracy.

GROWTH AND FIXED POINTS OF MEROMORPHIC SOLUTIONS OF HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS

  • Xu, Jun-Feng;Yi, Hong-Xun
    • 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.

OSCILLATION THEOREMS FOR SECOND-ORDER MIXED-TYPE NEUTRAL DYNAMIC EQUATIONS ON SOME TIME SCALES

  • Sun, Jing
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.15-26
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    • 2012
  • Some oscillation results are presented for the second-order neutral dynamic equation of mixed type on a time scale unbounded above $$\(r(t)[x(t)+p_1(t)x(t-{\tau}_1)+p_2(t)x(t+{\tau}_2)]^{\Delta}\)^{\Delta}+q_1(t)x(t-{\tau}_3)+q_2(t)x(t+{\tau}_4)=0.$$ These criteria can be applied when $\mathbb{T}=\mathbb{R}$, $\mathbb{T}=h{\mathbb{Z}}$ and $\mathbb{T}=\mathbb{P}_{a,b}$. Two examples are also provided to illustrate the main results.

Development of Frequency Dependent Equivalent using Genetic Algorithm and it's Application for Electromagnetic Transient Analysis of Practical Power System Model (유전알고리즘을 이용한 주파수의존 등가회로 모델개발과 전자기 과도현상 해석)

  • Choi, Sun-Young;Park, Seung-Yub
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.2
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    • pp.104-112
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    • 2015
  • This paper deals with an methodology for acquiring optimal order of rational function model in FDNE(frequency dependent network equivalents) with GA(genetic Algorithm). In order to analyze the modern power system with huge complexity, an practical and efficient equivalent model is needed which represents the system's characteristics of transient phenomenon. this paper shows developing a z domain rational function model which have the resultant coefficient from proposed GA simulation. To demonstrate this methodology, some simulations are performed with practical power system of NZ which applied with fault condition and nonlinear converter load.

Density-based Outlier Detection in Multi-dimensional Datasets

  • Wang, Xite;Cao, Zhixin;Zhan, Rongjuan;Bai, Mei;Ma, Qian;Li, Guanyu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.12
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    • pp.3815-3835
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    • 2022
  • Density-based outlier detection is one of the hot issues in data mining. A point is determined as outlier on basis of the density of points near them. The existing density-based detection algorithms have high time complexity, in order to reduce the time complexity, a new outlier detection algorithm DODMD (Density-based Outlier Detection in Multidimensional Datasets) is proposed. Firstly, on the basis of ZH-tree, the concept of micro-cluster is introduced. Each leaf node is regarded as a micro-cluster, and the micro-cluster is calculated to achieve the purpose of batch filtering. In order to obtain n sets of approximate outliers quickly, a greedy method is used to calculate the boundary of LOF and mark the minimum value as LOFmin. Secondly, the outliers can filtered out by LOFmin, the real outliers are calculated, and then the result set is updated to make the boundary closer. Finally, the accuracy and efficiency of DODMD algorithm are verified on real dataset and synthetic dataset respectively.

A refined theory with stretching effect for the flexure analysis of laminated composite plates

  • Draiche, Kada;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • v.11 no.5
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    • pp.671-690
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    • 2016
  • This work presents a static flexure analysis of laminated composite plates by utilizing a higher order shear deformation theory in which the stretching effect is incorporated. The axial displacement field utilizes sinusoidal function in terms of thickness coordinate to consider the transverse shear deformation influence. The cosine function in thickness coordinate is employed in transverse displacement to introduce the influence of transverse normal strain. The highlight of the present method is that, in addition to incorporating the thickness stretching effect (${\varepsilon}_z{\neq}0$), the displacement field is constructed with only 5 unknowns, as against 6 or more in other higher order shear and normal deformation theory. Governing equations of the present theory are determined by employing the principle of virtual work. The closed-form solutions of simply supported cross-ply and angle-ply laminated composite plates have been obtained using Navier solution. The numerical results of present method are compared with those of the classical plate theory (CPT), first order shear deformation theory (FSDT), higher order shear deformation theory (HSDT) of Reddy, higher order shear and normal deformation theory (HSNDT) and exact three dimensional elasticity theory wherever applicable. The results predicted by present theory are in good agreement with those of higher order shear deformation theory and the elasticity theory. It can be concluded that the proposed method is accurate and simple in solving the static bending response of laminated composite plates.

Comparison on Ecological Index Characteristics between Zacco platypus and Zacco koreanus by Stream order in Korea (하천차수에 따른 피라미와 참갈겨니 개체군의 생태지표 특성 비교)

  • Lee, Seung-Hyun;Jeong, Hyun-Gi;Shin, Hyun-Seon;Shin, Yuna;Lee, Su-Woong;Lee, Jae-Kwan
    • Korean Journal of Ecology and Environment
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    • v.50 no.4
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    • pp.403-410
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    • 2017
  • We collected fishes at the 12,873 sites in stream order (1~7) from 2008 to 2016. In the results, two populations(Zacco platypus and Zacco koreanus) represented distributional differences in the stream order gradient, and correlation analysis showed that the two populations had a potential competitive relationship. The ecological characteristics of the fish except for the Z. platypus and the Z. koreanus, according to the gradient of stream order showed a pronounced gradient in the species such as intermediate species, sensitive species, carnivores, herbivores and omnivores. The two populations showed a high correlation between intermediate species, sensitive species of the tolerance guild and omnivores, insectivores of the trophic guild. Fish assessment index (FAI) was negative relation with stream order. According to the stream order gradient, the two populations showed different correlations with FAI.

A Study on the Utilization of Naval Personnel According to Characteristics of New Generations: Discussion from the Perspective of Generation Z, a Newly Emerging Generation (신세대의 특성에 따른 해군 인력 활용의 과제 - 또 다른 신세대, Z세대 관점에서의 고찰)

  • Min, Seung-Un;Kim, Seong-Yeol
    • Maritime Security
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    • v.4 no.1
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    • pp.57-82
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    • 2022
  • The objective of this treatise is to explore the limitations of the current navy manpower utilization system and the ways to improve it from the perspective of Generation Z. As Generation Z, following Millennials, has finally come of age, this new group is constituting a gradually greater proportion of military personnel. Due to the typical characteristics of naval operations, the harmony between Millennials and Generation Z, which is differentiated from Generation X in view of dispositions and traits, is one of the essential issues to be discussed. Generally, in a naval vessel, there are numerous pieces of equipment necessary to carry out a wide range of missions and a large number of crew members who operate them with consistent levels of fighting power. This is all while members are living together within the narrow space throughout the 24 hours of each day. Under such particular circumstances, any inter-generational conflicts may have a disruptive effect on the successful accomplishment of naval missions. Currently, new generations of military personnel are facing social difficulties in different aspects compared with the previous generations, and also have different viewpoints on the military. In this regard, in order to foster true harmony between generations, it is considered necessary to take a closer look at the inter-generational differences from their respective standpoints and to examine whether the military organization has taken adequate steps to respond to such changes. Accordingly, Chapters 1 and 2 cover the environments in which Millennials and Generation Z were raised during their childhood to young adulthood, which are distinct from those of older generations, their viewpoints formed based on such backgrounds, and the need to resolve various conflicts between generations. In Chapter 3, the current actions taken by overseas military powers to enhance the coexistence with Generation MZ are analyzed to find the significant implications they had. Chapter 4 examines the operation environments specific to the navy; identifies the potential barriers to achieving harmony between generations by assessing the current status of personnel utilization in the Korean navy in terms of the seaman, petty officer, and the officer, as well as policy; and outlines the solutions to drive harmony. Finally, Chapter 5 emphasizes the need to establish a genuine empathy between generations based on the understanding of unique inter-generational characteristics. This section also discusses the importance of addressing difficulties in utilizing technology-centered naval manpower, and forecasts a scenario of a naval organization that resolves the problem of utilizing naval personnel and the inter-generational conflicts in the future.

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Effect of Galacto-mannan-oligosaccharides or Chitosan Supplementation on Cytoimmunity and Humoral Immunity in Early-weaned Piglets

  • Yin, Y.-L.;Tang, Z.R.;Sun, Z.H.;Liu, Z.Q.;Li, T.J.;Huang, R.L.;Ruan, Z.;Deng, Z.Y.;Gao, B.;Chen, L.X.;Wu, G.Y.;Kim, S.W.
    • Asian-Australasian Journal of Animal Sciences
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    • v.21 no.5
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    • pp.723-731
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    • 2008
  • Immunomodulatory feed additives might offer alternatives to antimicrobial growth promoters in pig production. This experiment was designed to determine the effects of dietary galacto-mannan-oligosaccharide (GMOS) and chitosan oligosaccharide (COS) supplementation on the immune response in early-weaned piglets. Forty 15-day-old piglets (Duroc$\times$Landrace$\times$Yorkshire) with an average live body weight of $5.6{\pm}0.51kg$ were weaned and randomly assigned to 4 treatment groups that were fed maize-soybean meal diets containing either basal, 110 mg/kg of lincomycin, 250 mg/kg of COS or 0.2% GMOS, respectively, over a 2-week period. Another six piglets of the same age were sacrificed on the same day at the beginning of the study for sampling, in order to obtain baseline values. Interleukin (IL)-1${\beta}$gene expression in peripheral blood monocytes, jejunal mucosa and lymph nodes, as well as serum levels of IL-1${\beta}$ IL-2 and IL-6, IgA, IgG, and IgM, were evaluated for 5 pigs from each group at 15 and 28 days of age. The results indicate that weaning stress resulted in decreases in serum antibody and cytokine levels. Dietary supplementation with GMOS or COS enhanced (p<0.05) IL-1${\beta}$gene expression in jejunal mucosa and lymph nodes, as well as serum levels of IL-1${\beta}$ IL-2, IL-6, IgA, IgG and IgM compared to supplementation with lincomycin. These findings suggest that GMOS or COS may enhance the cell-mediated immune response in early-weaned piglets by modulating the production of cytokines and antibodies, which shows that GMOS or COS have different effects than the antibiotic on animal growth and health.

A Study about Long-Term Effects of Attention-Deficit Hyperactivity Disorder Medication on Height and Weight in the Korean School-Aged Boys with Attention-Deficit Hyperactivity Disorder Based on Observation of Natural Course (자연경과 관찰에 의한 주의력결핍 과잉행동장애 아동에서 장기간의 약물치료가 성장에 미치는 영향)

  • Yeom, Chan-Woo;Eun, Tae-Kyung;Park, Hoon-Sub;Lee, Kyu-Young;Kim, Eui-Joong;Joo, Eun-Jeong;Koo, Young-Jin
    • Journal of the Korean Academy of Child and Adolescent Psychiatry
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    • v.25 no.2
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    • pp.89-94
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    • 2014
  • Objectives : This study was conducted naturalistically in order to observe the long-term effects of attention-deficit hyperactivity disorder (ADHD) medications on growth rates among Korean school-aged boys with ADHD. Methods : Participants in the study were boys with ADHD aged 6 to 11 years who have taken ADHD medication, methylphenidate (extended release) or atomoxetine. They attended scheduled visits monthly or bimonthly for clinical assessment with measurement of height and weight. In this study, 35 boys with ADHD (mean age at baseline=$7.90{\pm}1.77$ years ; mean age at endpoint= $12.54{\pm}1.91$ years) were included, with a mean follow-up period of 4.64 years (${\pm}1.62$ years), ranging from 2 to 9.7 years. Height, weight, and body mass index (BMI) measurements were converted to "age-corrected Z-scores" using data from Growth Charts provided by the Korean Center for Disease Control and Prevention from 2007. Results : Age-corrected endpoint growth parameters (height, weight, BMI Z-scores) did not differ significantly from the baseline values (height t=0.027 ; weight t=-0.61 ; BMI t=-1.86, in paired t-test). Especially high correlation was observed between the baseline and endpoint height Z-scores (r=0.876, p<.001), for which the coefficient of determination $r^2$ was 0.767, meaning that the amount of variability in endpoint height Z-scores explained by the baseline height Z-scores was 76.7%. Conclusion : Our results suggested that the long-term effects of ADHD medications on growth parameters to be tolerable in Korean school-aged boys with ADHD.