• Title/Summary/Keyword: Mixed class

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PERTURBED PROXIMAL POINT ALGORITHMS FOR GENERALIZED MIXED VARIATIONAL INEQUALITIES

  • Jeong, Jae-Ug
    • East Asian mathematical journal
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    • v.18 no.1
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    • pp.95-109
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    • 2002
  • In this paper, we study a class of variational inequalities, which is called the generalized set-valued mixed variational inequality. By using the properties of the resolvent operator associated with a maximal monotone mapping in Hilbert spaces, we have established an existence theorem of solutions for generalized set-valued mixed variational inequalities, suggesting a new iterative algorithm and a perturbed proximal point algorithm for finding approximate solutions which strongly converge to the exact solution of the generalized set-valued mixed variational inequalities.

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The Classification of Forest Communities by Cluster Analysis in Mt. Seokbyung Experimental Forest of Gangwon-Do

  • Chung, Sang-Hoon;Kim, Ji-Hong
    • Journal of Korean Society of Forest Science
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    • v.99 no.5
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    • pp.736-743
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    • 2010
  • This study examined the ecological attributes of classified forest community by cluster analysis in the mixed forest of Mt. Seokbyung Experimental Forest of Gangwon-Do. The vegetation data were collected in randomly established 51 sample plots (2.04 ha) and analysis adopted the cluster analysis, importance value index, and Shannon's diversity index. Main results were as follows; 1) the study area was classified into 4 clusters (A, B, C and D). 2) The cluster A was dominated by Pinus densiflora with an importance value of 71.6%. The most dominant species in the cluster B and cluster C were Larix leptolepis (57.1%) and Quercus mongolica (40.2%), respectively. Finally, The cluster D was dominated by P. densiflora (30.6%) and Q. mongolica (31.0%) with the mixed forest. 3) In the P. densiflora community (cluster A), distribution of DBH class showed a reverse J-shaped curve. In the L. leptolepis community (cluster B), individuals of dominant species had the bell-shaped distribution. Oak species indicated uniform distribution of DBH class (under 25 cm) in the mixed P. densiflora - Q. mongolica community (cluster D). 4) The species diversity index of the communities in descending order were: Pinus densiflora - Q. mongolica community > Larix leptolepis community > Pinus densiflora community > Quercus mongolica community.

A Study on Organic Solvent Exposure in Painting Operation of Automobile Manufacturing Industry (자동차 도장 작업장에서의 유기용제 폭로에 관한 연구)

  • 김영식
    • Journal of Environmental Health Sciences
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    • v.20 no.4
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    • pp.10-16
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    • 1994
  • A Study was performed in order to measure mixed organic solvent concentrations in air of painting operations during January 5-28, 1991. The mixed organic solvent concentrations were analyzed by the gas chromatography. The results were as follows: 1. The detection of organic solvent was highest in aromatic hydrocarbon(68%), and followed by aliphatic hydrocarbon (18%), and ketone (14%). 2. The detection of organic solvent by component category was highest in the grid class solvent (79.4%), and followed by the 3rd class solvent (20.6%). 3. Number of cases exceeding TLVS of mixed solvent level in air was highest on dipping operation (44%), and followed by spray operation (40%), dry and washing operation (33%), and adhensive operation (12%).

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ITERATIVE ALGORITHM FOR RANDOM GENERALIZED NONLINEAR MIXED VARIATIONAL INCLUSIONS WITH RANDOM FUZZY MAPPINGS

  • Faizan Ahmad, Khan;Eid Musallam, Aljohani;Javid, Ali
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.4
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    • pp.881-894
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    • 2022
  • In this paper, we consider a class of random generalized nonlinear mixed variational inclusions with random fuzzy mappings and random relaxed cocoercive mappings in real Hilbert spaces. We suggest and analyze an iterative algorithm for finding the approximate solution of this class of inclusions. Further, we discuss the convergence analysis of the iterative algorithm under some appropriate conditions. Our results can be viewed as a refinement and improvement of some known results in the literature.

DEGREE OF APPROXIMATION FOR BIVARIATE SZASZ-KANTOROVICH TYPE BASED ON BRENKE TYPE POLYNOMIALS

  • Begen, Selin;Ilarslan, H. Gul Ince
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.251-268
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    • 2020
  • In this paper, we estimate the degree of approximation by means of the complete modulus of continuity, the partial modulus of continuity, the Lipschitz-type class and Petree's K-functional for the bivariate Szász-Kantorovich operators based on Brenke-type polynomials. Later, we construct Generalized Boolean Sum operators associated with combinations of the Szász-Kantorovich operators based on Brenke-type polynomials. In addition, we obtain the rate of convergence for the GBS operators with the help of the mixed modulus of continuity and the Lipschitz class of the Bögel continuous functions.

THE PALATAL MORPHOLOGY OF THE CHILDREN WITH CLASS II DIV.1 MALOCCLUSION IN MIXED DENTITION : A STUDY USING THREE-DIMENSIONAL LASER SCANNER (혼합치열기 II급 1류 부정교합 어린이의 구개형태 : 3차원 레이저 스캐너를 이용한 연구)

  • Yang, Jung-Hyun;Lee, Sang-Hoon;Hahn, Se-Hyun;Kim, Chong-Chul
    • Journal of the korean academy of Pediatric Dentistry
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    • v.32 no.2
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    • pp.270-277
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    • 2005
  • The purpose of this study was to clarify the palatal volume and anterior palatal slope of the children with class II div.1 malocclusion and normal occlusion in mixed dentition(Hellman dental age III A) using three-dimensional laser scanner. Samples were consisted of 31 children with skeletal class II div.1 malocclusion in mixed dentition and 29 children with normal occlusion and profile among the contestants in 2000-2004 Healthy Dentition Contest in Seoul. Totally 60 maxillary study model were taken. Each cast was scanned by three-dimensional laser scanner (Breuckmann opto-TOP HE, INUS, Korea) and shaped into the three-dimension image by Rapidform 2004 program(INUS, Korea). And the palatal volume and anterior palatal slope of each cast were calculated by Rapidform 2004 program(INUS, Korea). The values were statistically compared and evaluated by independent samples t-test with 95% of significance level. The results were as follows: 1. Palatal volume was significantly lesser in children with class II div.1 malocclusion than that of normal occlusion in mixed dentition(p<0.05). 2. No significant difference in the anterior palatal slope and palatal height was found between the children with class II div.1 malocclusion and normal occlusion in mixed dentition(p>0.05). 3. Palatal length was significantly greater in children with class II div.1 malocclusion than that of normal occlusion in mixed dentition(p<0.01). 4. Intercanine and intermolar width were significantly lesser in children with class II div.1 malocclusion than those of normal occlusion in mixed dentition(respectively p<0.05 and p<0.01).

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RESOLVENT DYNAMICAL SYSTEMS FOR MIXED VARIATIONAL INEQUALITIES

  • Muhammad, Aslan-Noor
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.15-26
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    • 2002
  • In this paper, we suggest and analyze a class of resolvent dynamical systems associated with mixed variational inequalities. We study the globally asymptotic stability of the solution of the resolvent dynamical systems for the pseudomonotone operators. We also discuss some special cases, which can be obtained from our main results.

Fuzzy Classification Using EM Algorithm

  • Lee Sang-Hoon
    • Proceedings of the KSRS Conference
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    • 2005.10a
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    • pp.675-677
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    • 2005
  • This study proposes a fuzzy classification using EM algorithm. For cluster validation, this approach iteratively estimates the class-parameters in the fuzzy training for the sample classes and continuously computes the log-likelihood ratio of two consecutive class-numbers. The maximum ratio rule is applied to determine the optimal number of classes.

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Using Mixed Logit Model and Latent Class Model to Analyze Preference Heterogeneity in Choice Experiment Data (선택실험법 자료에서의 선호이질성 분석을 위한 혼합로짓모형 및 잠재계층모형의 활용)

  • Yoo, Byong Kook
    • Environmental and Resource Economics Review
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    • v.21 no.4
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    • pp.921-945
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    • 2012
  • Conditional Logit (CL) model is widely used since its model estimation and interpretation of results of the model is relatively easy, on the other hand, it has the limit of preference heterogeneity of respondents being not fully considered. In this study we used the two models, Mixed Logit (ML) Model and Latent Class Model (LCM) to explain preference heterogeneity of respondents for protection for Boryeong Dam wetland. As a result of the examination for heterogeneity in Boryeong city and six metropolitan areas, we found there was significant difference between two regions. While there was explicit preference heterogeneity within respondents in Boryeong city, we found little heterogeneity within respondents in six metropolitan areas. Thus in the case of six metropolitan areas, CL model can be used for parameter estimation while in the case of Boryeong city, WTP estimates are based on parameter estimates from ML model to reflect the heterogeneity within respondents. Additionally, ML model with interaction and 2-class LCM for respondents in Boryeong city were used to explain the sources of the heterogeneity. The ML model with interaction has advantage of explaining individual unobserved heterogeneity. However The comarison between these two models reflects the fact that LCM provided added information that was not conveyed in the ML model with interaction. Thus, Preference heterogeneity within respondents in this study may be better explained by class level through LCM rather than indiviual level through ML model.

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An Inquiry about Mixed Methodology for Family Studies (가족연구를 위한 혼합방법론에 대한 고찰)

  • Yang, Sung-Eun
    • Journal of the Korean Home Economics Association
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    • v.44 no.9
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    • pp.1-8
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    • 2006
  • The purposes of the present article are to suggest pragmatism as offering a philosophical paradigm for mixed methods research, to explain the fundamental principles of mixed methodology, and to present examples of research for understanding how to apply it to family studies. Mixed methods research is the class of research where the researcher mixes or combines quantitative and qualitative techniques, methods, approaches, concepts or language into a single study. Mixed methodology has its roots in pragmatism, which is a new philosophical paradigm to criticize the traditional dualism and to endorse eclecticism and pluralism. The present article argues that mixed methods research has the potential to answer a broader and more complete range of research questions, and to provide strong evidence for a conclusion through convergence and corroboration of the qualitative and the quantitative methods.