• Title/Summary/Keyword: Class Unit

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SOME RESULTS FOR THE CLASS OF ANALYTIC FUNCTIONS CONCERNED WITH SYMMETRIC POINTS

  • Ayse Nur Arabaci;Bulent Nafi Ornek
    • Korean Journal of Mathematics
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    • v.31 no.1
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    • pp.25-33
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    • 2023
  • This paper's objectives are to present the $\mathcal{H}$ class of analytical functions and explore the many characteristics of the functions that belong to this class. Some inequalities regarding the angular derivative have been discovered for the functions in this class. In addition, the symmetry points on the unit disc are used for the obtained inequalities.

On Coefficients of a Certain Subclass of Starlike and Bi-starlike Functions

  • Mahzoon, Hesam;Sokol, Janusz
    • Kyungpook Mathematical Journal
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    • v.61 no.3
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    • pp.513-522
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    • 2021
  • In this paper we investigate a subclass 𝓜(α) of the class of starlike functions in the unit disk |z| < 1. 𝓜(α), π/2 ≤ α < π, is the set of all analytic functions f in the unit disk |z| < 1 with the normalization f(0) = f'(0) - 1 = 0 that satisfy the condition $$1+\frac{{\alpha}-{\pi}}{2\;sin\;{\alpha}}. The class 𝓜(α) was introduced by Kargar et al. [Complex Anal. Oper. Theory 11: 1639-1649, 2017]. In this paper some basic geometric properties of the class 𝓜(α) are investigated. Among others things, coefficients estimates and bound are given for the Fekete-Szegö functional associated with the k-th root transform [f(zk)]1/k. Also a certain subclass of bi-starlike functions is introduced and the bounds for the initial coefficients are obtained.

Applying Problem-Based Language Learning in an Online Class: Designing a PBLL Unit

  • Abdullah, Mardziah Hayati;Chong, Larry Dwan
    • English Language & Literature Teaching
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    • v.9 no.spc
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    • pp.1-17
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    • 2003
  • This paper aims to propose that Problem-Based Learning (PBL) is a method that can help meet the conditions in language learning and instruction. PBL was first used in medical education, where learners engaged in problem-solving activities that reflect the demands of real-life professional practice, thus promoting critical thinking in the content domain. The paper proposes that by applying PBL in language learning and creating situations in which learners work collaboratively on problems, the learners benefit in two respects: (i) they have the opportunity to practise the kind of thinking skills and problem-solving strategies needed in real life, and (ii) they engage in purposeful language activity with others through discussion and negotiation. The paper first provides a theoretical rationale far the use of PBL in language learning and suggests attendant changes in the role of a language instructor in a PBL context. The paper then presents an outline of the stages and components needed in designing an online PBL Unit far use in an undergraduate language class.

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BOUNDS OF HANKEL DETERMINANTS FOR ANALYTIC FUNCTION

  • Ornek, Bulent Nafi
    • Korean Journal of Mathematics
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    • v.28 no.4
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    • pp.699-715
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    • 2020
  • In this paper, we give estimates of the Hankel determinant H2(1) in a novel class 𝓝 (𝜀) of analytical functions in the unit disc. In addition, the relation between the Fekete-Szegö function H2(1) and the module of the angular derivative of the analytical function p(z) at a boundary point b of the unit disk will be given. In this association, the coefficients in the Hankel determinant b2, b3 and b4 will be taken into consideration. Moreover, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained.

A Study on the Homemakers' Housing Notion according to Unit Size in Apartment - focus on 20pyung∼50pyung - (공동주택 평형별 주부들의 주거관에 관한 조사연구 - 20평형대∼50평형대를 중심으로 -)

  • 장경수;김경순
    • Korean Institute of Interior Design Journal
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    • no.38
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    • pp.116-124
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    • 2003
  • The purpose of this study was provide basic data for homemakers' housing notion according to unit size in apartment. This study was conducted by questionnaires that concerning about middle class homemakers whom they lived in Bundang. The results of this study were as follows; 1) In research on the homemakers' general quality, 20pyung unit size was alike 30pyung unit size and 40pyung unit size was similar to 50pyung unit size. 2) Homemakers' perception according to unit size in apartment was various; (a) 20pyungㆍ30pyung unit size-effective household space for husbands' participation, more sports facilities, parking lot space etc. (b) 40pyungㆍ50pyung unit size-homemakers' individual room, ordering and variable unit plan etc. 3) In research on the homemakers' needs, each of unit size was analogous to storage, common facility, new design and new housing form etc.

An Exact Splitting Algorithm for a 4-Class-Based Dedicated Linear Storage Problem

  • Yang, Moon-Hee;Choi, Chang-Hwan;Kim, Hee
    • Management Science and Financial Engineering
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    • v.17 no.2
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    • pp.23-37
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    • 2011
  • In this paper, we address a layout design problem for determining an optimal 4-class-based dedicated linear storage layout in a class of unit load storage systems. Assuming that space requirement for a class is the sum of the maximum inventory levels of products assigned to the class, and that one-way travel time is a linear function of storage index, we formulate a 4-class-based dedicated linear storage problem PTL[4] and provide an exact splitting algorithm with $O(n{\lceil}logn{\rceil})$. Our algorithms could be applied to more than a 4-class-based dedicated storage layout problem with slight modification in order to reduce computational execution time.

Characterization of Natvig Type Continuum Structure functions

  • Lee, Seung-Min
    • Proceedings of the Korean Reliability Society Conference
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    • 2002.06a
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    • pp.305-305
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    • 2002
  • A continuum structure function is a non-decreasing mapping from the unit hypercube to the unit interval. Within the class of continuum structure functions, new axiomatic characterizations of the Natvig and the Barlow-Wu subclass are obtained.

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The Effects of the Instructional Use of Materials Around Everyday Life on Science Academic Achievement: Focused on the Third and Sixth - Grade Level (생활 주변 자료 활용 수업이 학업성취도에 미치는 효과)

  • 김정길;남철우;김석중;송판섭;한광래;최도성;문두석
    • Journal of Korean Elementary Science Education
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    • v.20 no.1
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    • pp.45-57
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    • 2001
  • The purpose of this study is to guide and apply gettable and accessible materials around everyday life into classroom instruction, and to find out their effects on student academic achievement. In order to achieve it, this study was tried to develop and guide available materials around life in teaming activities, to provide a preliminary assignment that could apply the available materials, and to compare its academic achievement to one from field trip loaming. For the hypothesis testing, first, the experimental and comparing classes were selected based on the results of basic learning diagnostic evaluation, which conducted by the researcher being served as a full-time science teacher of the third and sixth grade of K elementary school in Kwangju for 2 years. Secondly, the instructional use of the available materials around life was applied to the experimental class. Also, the instructional use of the existing materials was applied to the comparing class. Finally, for the testing of the effects on academic achievement, the posterio test was implemented after conducting the experimental instruction in knowledge·understanding, inquiry process, and attitude domains classified by the unit characteristics. Using SPSS/WIN program the t-test was performed in order to compare the differences between the two groups. Major findings were as follows: 1) In the achievement test of knowledge·understanding domain, there were no significant differences at the 5% level between the experimental and comparing classes. It could be difficult to say, therefore, that the instructional use of the available materials around life was more effective than the instructional use of the existing materials. However, it had some effects on differences between the third grade final achievement test and sixth grade experimental class. 2) In the achievement test of inquiry process domain, there were some significant differences in that the sixth grade experimental class was higher than the third grade out-of classroom experience unit. It was indicated that the instructional use of the available materials around life had some effects on improving the students' inquiry ability 3) In achievement test of attitude domain, there were some significant differences. It was shown that the self-evaluation test of the sixth grade experimental class unit was higher than that of the third grade out-of classroom experience unit; Especially, the learning activities in the experimental class were more active, and the experimental practice ability was improved. It was presented that the instructional use of the available materials around life had some effects on the students' academic achievement in attitude domain. It was concluded from this study that the instructional use of the available materials around life was less effective on Knowledge understanding domain, but was effective on improving their scientific inquiry ability and interest on science education.

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The Effects of the Learning Motive, Interest and Science Process Skills using the 'Light' Unit on Science-based STEAM (과학 기반 STEAM에 의한 '빛' 단원 학습이 과학 학습 동기, 흥미 및 과학 탐구 능력에 미치는 효과)

  • Park, Soung-Jin;Yoo, Pyoung Kil
    • Journal of Korean Elementary Science Education
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    • v.32 no.3
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    • pp.225-238
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    • 2013
  • The purpose of this study is to find out The Effects of the Learning Motive, Interest and Science Process Skills using the 'Light' Unit on Science-based STEAM. As the subject, 2 classes in the 6th grade of G elementary school located in Busan were selected. Through the pre/post inspection design between experiment and comparison class, the units of science courses in the first semester of 6th grade '1. Light' were applied. The results were as follows: Firstly, it was observed that it would have a meaningful effect to improve the learning motive of students who performed STEAM education. Secondly, it was observed that it would have a meaningful effect to improve the interest of students who performed STEAM education. Especially, the results of 'attention', 'relevance', 'confidence' and 'satisfaction' in the experimental class were higher than those of students in the comparative class. The experimental class gave a positive effect on the 'attention', 'confidence' and 'satisfaction'. According to statistical analysis, this result is meaning. Thirdly, the test on science processing skills showed that there was not statistic meaningful differences between the two groups. But, in the sub-parts, there was statistic meaningful differences between the two groups on the 'integrated inquiry ability'.