• The Journal of the Convergence on Culture Technology
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• 제8권2호
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• pp.235-242
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• 2022

The purpose of this study is to propose an effective class of College English, one of the essential liberal arts subjects of S University, and to analyze the learning effect. This subject targets students with different majors in the first grade, and the learning goal is to improve their reading skills by analyzing students' English skills, especially sentences, as grammatical elements in everyday situations. This thesis examines how College English classes can be conducted in the form of convergence class in the COVID-19 era to induce students' learning motivation and create learning effects. The form of this convergence class is as follows. First, lecture videos, second, Webex real-time non-face-to-face classes, and third, face-to-face classes. In this study, the class procedure of the first class among the classes that were actually conducted during the semester was presented as an example. The researcher specifically surveyed the pre-class questionnaire and conducted the class by grasping the students' English skills and characteristics of the learners through the results. And after taking the course, the questionnaire was surveyed into 30 items and the results were analyzed. Specifically, the results of satisfaction with the composition of the lecture, satisfaction with the lecture video, satisfaction with the face-to-face class, interaction with students, and learning effects were analyzed. This class proposal is a learner-centered model in the form of convergence.

• Journal of applied mathematics & informatics
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• 제5권2호
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• pp.507-516
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• 1998

In this study we are concerned with the problem of ap-proximating a locally unique solution of an equation on a Banach space. A semilocal convergence theorem is given for the Super-Halley method in Banach spaces. Earlier results have shown that the order of convergence is four for a certain class of operators [4] [5] [8] These results were not given in affine invariant form and made use of a real quadratic majorizing polynomial. Here we provide our re-sults in affine invariant form showing that the order of convergence is at least four. In cases that it is exactly four the rate of convergence is improved. We achieve these results by using a cubic majorizing polynomial. Some numerical examples are given to show that our error bounds are better than earlier ones.

• Bulletin of the Korean Chemical Society
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• 제32권2호
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• pp.613-619
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• 2011

Colloidal silver nanoparticles (AgNPs) have been commercialized as the typically stabilized form via the addition of a variety of surfactants or polymers. Herein, to examine the effects of stabilizing AgNPs in suspension, we modified the surface of bare AgNPs with four type of surfactants (NaDDBS, SDS, TW80, CTAB) and polymers (PVP, PAA, PAH, CMC). The modified AgNPs was applied to compare suspension stability and nanotoxicity test using Escherichia coli (E. coli) as a model organism. Modification of AgNPs surface using chemical stabilizer may be not related with molecular weight, but chemical structure such as ionic state and functional group of stabilizer. In this study, it is noteworthy that AgNPs modified with a cationic stabilizer (CTAB, PAH) were importantly toxic to E. coli, rather than anionic stabilizers (NaDDBS, SDS). Comparing similar anionic stabilizer, i.e., NaDDBS and SDS, the result showed that lipophilicity of chemical structure can affect on E. coli, because NaDDBS, which contains a lipophilic benzene ring, accelerated the cytotoxicity of AgNPs. Interestingly, none of the stabilizers tested, including biocompatible nonionic stabilizers (i.e., TW80 and cellulose) caused a reduction in AgNP toxicity. This showed that toxicity of AgNPs cannot be reduced using stabilizers.

• Journal of Digital Convergence
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• 제18권5호
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• pp.115-125
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• 2020

This study examined the curriculum CQI forms implemented at A university for quality management and improvement of instruction. Under the reorganization of competency-based curriculum, University A has improved the CQI form so that the planning, process and outcomes of class can be managed systematically. This study proposes a CQI form through literature research and has undergone a revision process through external expert verification. The major findings are as follows. First, when developing the CQI form, the questions were composed to evaluate and reflux the entire course of the class, including the planning, operation, results, and feedback of the class. Second, it was divided into three stages such as last semester, current semester, and next semester to prepare a comprehensive analysis and improvement plan, so that the effect of continuous class improvement and reflux can be obtained. Third, integrating the lesson plans and lecture evaluation results in the preparation of CQI increased the convenience of instructors. Fourth, the objective results (achievement results for each evaluation tool, lecture evaluation results) were provided to the instructor so that they could sufficiently reflect on them. This study is significant in that it provides implications for future CQI development.

• East Asian mathematical journal
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• 제26권3호
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• pp.351-363
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• 2010

We introduce a special class of real recurrent polynomials $f_m$$($m{\geq}1$) of degree m+1, with positive roots $s_m$, which are decreasing as m increases. The first root $s_1$, as well as the last one denoted by $s_{\infty}$ are expressed in closed form, and enclose all $s_m$ (m > 1). This technique is also used to find weaker than before [6] sufficient convergence conditions for some popular iterative processes converging to solutions of equations.

• Korean Journal of Mathematics
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• 제25권1호
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• pp.99-116
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• 2017

The aim of this article is to introduce a new form of Kantorovich $Sz{\acute{a}}sz$-type operators involving Charlier polynomials. In this manuscript, we discuss the rate of convergence, better error estimates. Further, we investigate order of approximation in the sense of local approximation results with the help of Ditzian-Totik modulus of smoothness, second order modulus of continuity, Peetre's K-functional and Lipschitz class.

• Korean Journal of Mathematics
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• 제30권3호
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• pp.539-553
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• 2022

In the present paper, we aim to obtain several approximation properties of Stancu form Szász-Mirakjan-Durrmeyer operators based on Bézier basis functions with shape parameter λ ∈ [-1, 1]. We estimate some auxiliary results such as moments and central moments. Then, we obtain the order of convergence in terms of the Lipschitz-type class functions and Peetre's K-functional. Further, we prove weighted approximation theorem and also Voronovskaya-type asymptotic theorem. Finally, to see the accuracy and effectiveness of discussed operators, we present comparison of the convergence of constructed operators to certain functions with some graphical illustrations under certain parameters.

• Journal of Engineering Education Research
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• 제24권3호
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• pp.70-76
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• 2021

As intellectual property has become an important competitive element in the industry, government-led patent education is rapidly expanding. It is important to look at whether each patent education course is organically linked to each other under a life-long patent education system from elementary school to college. This study focused on the link between high school education and college education to analyze statistically how invention activities in high school affect patent education achievement at college. Statistical analysis of a survey of students taking a basic course of intellectual property revealed no statistically significant correlation between invention experience in high school and college students' patent class total score, contrary to popular perception. These results are believed to be due to the distribution of data on the number of invention contest participations or the number of invention class participations, which does not form a normal distribution and has a relatively large skewness. Rather, the attendance to the patent class showed a relatively distinct positive linear correlation with the patent class total score, indicating that the student's attitude in class was important for the patent education achievement.

• Journal of applied mathematics & informatics
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• 제8권3호
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• pp.743-753
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• 2001

We provide local convergence results in affine form for inexact Newton-like as well as quasi-Newton iterative methods in a Banach space setting. We use hypotheses on the second or on the first and mth Frechet-derivative (m≥2 an integer) of the operator involved. Our results allow a wider choice of starting points since our radius of convergence can be larger than the corresponding one given in earlier results using hypotheses on the first-Frechet-derivative only. A numerical example is provided to illustrate this fact. Our results apply when the method is, for example, a difference Newton-like or update-Newton method. Furthermore, our results have direct applications to the solution of autonomous differential equations.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2001년도 ICCAS
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• pp.169.3-169
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• 2001

This paper introduces a new approach to analysis of error convergence for a class of iterative learning control systems. First, a nonlinear plant is represented using a Takagi-Sugeno(T-S) fuzzy model. Then each iterative learning controller is designed for each linear plant in the T-S fuzzy model. From the view point of two-dimensional(2-D) system theory, we transform the proposed learning systems to a 2-D error equation, which is also established in the form of T-S fuzzy model. We analysis the error convergence in the sense of induced 2 L -norm, where the effects of disturbances and initial conditions on 2-D error are considered. The iterative learning controller design problem to guarantee the error convergence can be reduced to linear matrix inequality problems. In comparison with others, our learning algorithm ...