• Title/Summary/Keyword: normal science class

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STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR A CLASS OF NONLINEAR SET-VALUED VARIATIONAL INCLUSIONS

  • Ding, Xie Ping;Salahuddin, Salahuddin
    • Korean Journal of Mathematics
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    • v.25 no.1
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    • pp.19-35
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    • 2017
  • In this communication, we introduce an Ishikawa type iterative algorithm for finding the approximate solutions of a class of nonlinear set valued variational inclusion problems. We also establish a characterization of strong convergence of this iterative techniques.

A Practical Study on Teaching Statistics in The Secondary School Class

  • Lee, Dong-Ro;Lee, Sang-Bock
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.04a
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    • pp.229-233
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    • 2006
  • In teaching statistics in the secondary school, most math teachers do it and students enjoy it well before 11th grade. But, both of teachers and students feel statistics hard at 11th grade, which has been contained permutations, combinations, random variables, probability distributions, hypotheses and tests for normal distribution. In this study, we explore the efficient teaching methods of statistics for math teachers and also find many students enjoying it.

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EXISTENCE AND ITERATIVE APPROXIMATIONS OF SOLUTIONS FOR STRONGLY NONLINEAR VARIATIONAL-LIKE INEQUALITIES

  • Li, Jin-Song;Sun, Ju-He;Kang, Shin-Min
    • East Asian mathematical journal
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    • v.27 no.5
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    • pp.585-595
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    • 2011
  • In this paper, we introduce and study a new class of strongly nonlinear variational-like inequalities. Under suitable conditions, we prove the existence of solutions for the class of strongly nonlinear variational- like inequalities. By making use of the auxiliary principle technique, we suggest an iterative algorithm for the strongly nonlinear variational-like inequality and give the convergence criteria of the sequences generated by the iterative algorithm.

Characterization of Phosphatidylinositol Glycan, Class K (PIGK) Gene and Analysis of Association with Quantitative Traits in Pigs (돼지 Phosphatidylinositol Glycan, Class K (PIGK) 유전자의 동정과 양적형질과의 연관성 분석)

  • Lim, H.T.;Kim, J.H.;Choi, B.H.;Lee, S.H.;Park, E.W.;Kim, T.H.;Cho, I.C.;Oh, S.J.;Lee, J.G.;Jeon, J.T.
    • Journal of Animal Science and Technology
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    • v.47 no.2
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    • pp.167-176
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    • 2005
  • PIGK(phosphatidylinositol glycan, class K) is a subunit of GPI transamidase that cleaves the signal peptide in proproteins and replaces it with GPI. In addition, the structure and synthesis of GPI are critically involved in some of the cellular actions of insulin. Therefore, PIGK would be essential for mammalian development and many specific cellular functions as well as for metabolic activity of insulin associated with GPI. Two types of" full-length cDNAs of porcine PIGK were cloned through RT-PCR and RACE experiments. One is thought to be a normal form(consist of 395 amino acids) and the other is considered as an alternative spliced form(consist of 371 amino acids) which contains additional 63 bps in intron 7. Since a stop codon was contained within the insertion, the spliced form has a shorter coding sequence than that of normal form. A missense mutation (T314I) in exon 6 was detected and used for genotyping to estimate association with the growth and fat deposition traits for 545 $F_2$ animals(Korean native boars ${\times}$ Landrace). From the PCR-RFLP analysis using HpyCH4III, CT genotype showed highly significant relationship(P< 0.01) with carcass fat contents.

A STATISTICAL STUDY ON THE DENTAL DISEASE OF THE HANDICAPPED (심신장애인의 구강질환에 대한 통계학적 연구)

  • Choi, Nam-Ki;Yang, Kyu-Ho
    • Journal of the korean academy of Pediatric Dentistry
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    • v.28 no.3
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    • pp.391-402
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    • 2001
  • The reports concerning dental disease in handicapped children are contentious, and there are many differences of opinion as to what extent handicapped children differ in oral health and disease from healthy children. The present study was done by conducting a comprehensive study and evaluation of the oral health between the 267 handicapped and the 128 normal persons with regard to caries rate, occlusion and the condition of the periodontium. The result showed that the dft, the dfs and DMFT indices of handicapped persons according to age were significantly lower than those of normal persons(p<0.05). The prevalence of gingivitis in handicapped persons increased with age and was significantly higher than those reported for normal persons(p<0.001). It was found that the handicapped group had a significant difference in the class distribution of occlusion, with a higher percentage of Class II and Class III occlusion from that observed in the control group(p<0.05).

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One-Class Support Vector Learning and Linear Matrix Inequalities

  • Park, Jooyoung;Kim, Jinsung;Lee, Hansung;Park, Daihee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.1
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    • pp.100-104
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    • 2003
  • The SVDD(support vector data description) is one of the most well-known one-class support vector learning methods, in which one tries the strategy of utilizing balls defined on the kernel feature space in order to distinguish a set of normal data from all other possible abnormal objects. The major concern of this paper is to consider the problem of modifying the SVDD into the direction of utilizing ellipsoids instead of balls in order to enable better classification performance. After a brief review about the original SVDD method, this paper establishes a new method utilizing ellipsoids in feature space, and presents a solution in the form of SDP(semi-definite programming) which is an optimization problem based on linear matrix inequalities.

An improvement of estimators for the multinormal mean vector with the known norm

  • Kim, Jaehyun;Baek, Hoh Yoo
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.2
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    • pp.435-442
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    • 2017
  • Consider the problem of estimating a $p{\times}1$ mean vector ${\theta}$ (p ${\geq}$ 3) under the quadratic loss from multi-variate normal population. We find a James-Stein type estimator which shrinks towards the projection vectors when the underlying distribution is that of a variance mixture of normals. In this case, the norm ${\parallel}{\theta}-K{\theta}{\parallel}$ is known where K is a projection vector with rank(K) = q. The class of this type estimator is quite general to include the class of the estimators proposed by Merchand and Giri (1993). We can derive the class and obtain the optimal type estimator. Also, this research can be applied to the simple and multiple regression model in the case of rank(K) ${\geq}2$.

Optimal Estimation within Class of James-Stein Type Decision Rules on the Known Norm

  • Baek, Hoh Yoo
    • Journal of Integrative Natural Science
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    • v.5 no.3
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    • pp.186-189
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    • 2012
  • For the mean vector of a p-variate normal distribution ($p{\geq}3$), the optimal estimation within the class of James-Stein type decision rules under the quadratic loss are given when the underlying distribution is that of a variance mixture of normals and when the norm ${\parallel}\underline{{\theta}}{\parallel}$ in known. It also demonstrated that the optimal estimation within the class of Lindley type decision rules under the same loss when the underlying distribution is the previous type and the norm ${\parallel}{\theta}-\overline{\theta}\underline{1}{\parallel}$ with $\overline{\theta}=\frac{1}{p}\sum\limits_{i=1}^{n}{\theta}_i$ and $\underline{1}=(1,{\cdots},1)^{\prime}$ is known.

Computer programme to assess mandibular cortex morphology in cases of medication-related osteonecrosis of the jaw with osteoporosis or bone metastases

  • Ogura, Ichiro;Kobayashi, Eizaburo;Nakahara, Ken;Haga-Tsujimura, Maiko;Igarashi, Kensuke;Katsumata, Akitoshi
    • Imaging Science in Dentistry
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    • v.49 no.4
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    • pp.281-286
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    • 2019
  • Purpose: The purpose of this study was to evaluate the morphology of the mandibular cortex in cases of medication-related osteonecrosis of the jaw (MRONJ) in patients with osteoporosis or bone metastases using a computer programme. Materials and Methods: Fifty-four patients with MRONJ (35 with osteoporosis and 19 with bone metastases) were examined using panoramic radiography. The morphology of the mandibular cortex was evaluated using a computer programme that scanned the mandibular inferior cortex and automatically assessed the mandibular cortical index (MCI) according to the thickness and roughness of the mandibular cortex, as follows: normal (class 1), mildly to moderately eroded (class 2), or severely eroded (class 3). The MCI classifications of MRONJ patients with osteoporosis or bone metastases were evaluated with the Pearson chi-square test. In these analyses, a 5% significance level was used. Results: The MCI of MRONJ patients with osteoporosis(class 1: 6, class 2: 15, class 3: 14) tended to be higher than that of patients with bone metastases(class 1: 14, class 2: 5, class 3: 0)(P=0.000). Conclusion: The use of a computer programme to assess mandibular cortex morphology may be an effective technique for the objective and quantitative evaluation of the MCI in MRONJ patients with osteoporosis or bone metastases.