• Title/Summary/Keyword: Convergent

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Development of Subject-Convergent Teaching-Learning Materials for Core Principles of Support Vector Machines

  • Hwang, Yuri;Choi, Eunsun;Park, Namje
    • International Journal of Advanced Culture Technology
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    • v.10 no.1
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    • pp.42-46
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    • 2022
  • To cultivate talented people with creative and convergent thinking skills to live in the era of the 4th industrial revolution, the national curriculum of Korea is gradually emphasizing convergence education and software education. To meet the demands of the times, this paper suggests subject-convergent teaching-learning materials for educating core principles of Support Vector Machines, especially targeting elementary learners. Based on analysis of the national curriculum, achievement standards of three subjects are integrated. After printable worksheets for traditional face-to-face classes had developed, they were transformed to online interactive worksheets for non-face-to-face classes. The teaching-learning materials are expected to promote the growth of the learners' academic motivation and knowledge.

ON ${\mathcal{I}}$-LACUNARY ARITHMETIC STATISTICAL CONVERGENCE

  • KISI, OMER
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.327-339
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    • 2022
  • In this paper, we introduce arithmetic ${\mathcal{I}}$-statistically convergent sequence space $A{\mathcal{I}}SC$, ${\mathcal{I}}$-lacunary arithmetic statistically convergent sequence space $A{\mathcal{I}}SC_{\theta}$, strongly ${\mathcal{I}}$-lacunary arithmetic convergent sequence space $AN_{\theta}[{\mathcal{I}}]$ and prove some inclusion relations between these spaces. Futhermore, we give ${\mathcal{I}}$-lacunary arithmetic statistical continuity. Finally, we define ${\mathcal{I}}$-Cesàro arithmetic summability, strongly ${\mathcal{I}}$-Cesàro arithmetic summability. Also, we investigate the relationship between the concepts of strongly ${\mathcal{I}}$-Cesàro arithmetic summability, strongly ${\mathcal{I}}$-lacunary arithmetic summability and arithmetic ${\mathcal{I}}$ -statistically convergence.

Design Guidelines of Convergent Education Environment Based on Design Thinking through STEAM Theory

  • Kim, Sunyoung
    • International Journal of Advanced Culture Technology
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    • v.11 no.2
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    • pp.56-63
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    • 2023
  • I proposed the architectural guideline for educational environment based on design thinking approach to integrate and enhance learners' activities and achievements. The physical environment of design education learning space should be applied by teaching methods and learning activities, especially for STEAM-based convergent education, the architectural space conditions should support the design process based on design thinking. The learning environment conditions influence design education with physical design factors and learners' communication, and the flexible environment based on design thinking, which is crucial for design education. The 3 steps of design thinking experiences also allow students to learn the context of ideas, skills and outcomes. Therefore, I argued that the learning surrounding based on design thinking needs flexible and mobile, connected, integrated, organized, and team-focused environments to support learners' understanding, participation, and collaboration, and to achieve the design process based on research findings. For spaces for convergent learning environments based on design thinking, common design principles should be reviewed, such as coexistence with technology, safety and security, transparency and spatial extension, multi-purpose space and outdoor learning.

Analysis of 2-D Potential Problem with L-shape Domain by p-Convergent Boundary Element Method (p-수렴 경계요소법에 의한 L-형 영역을 갖는 2차원 포텐셜 문제 해석)

  • Woo, Kwang-Sung;Jo, Jun-Hyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.1
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    • pp.117-124
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    • 2009
  • The p-convergent boundary element method has been proposed to analyze two-dimensional potential problem on the basis of high order Legendre shape functions that have different property comparing with the shape functions in conventional boundary element method. The location of nodes corresponding to high order shape function are not defined along the boundary, called by nodeless node, similar to the p-convergent finite element method. As the order of shape function increases, the collocation point method is used to solve linear simultaneous equations. The collocation patterns of p-convergent boundary element method consist of non-symmetric hierarchial or symmetric non-hierarchical. As the order of shape function increases, the number of collocation point increases. The singular integral that appears in p-convergent boundary element has been calculated by special numeric quadrature technique and semi-analytical integration technique. The L-shape domain problem including singularity in the vicinity of reentrant comer is analyzed and the numerical results show that the relative error is smaller than $10^{-2}%$ range as compared with other results in literatures. In case of same condition, the symmetric p-collocation point pattern shows high accuracy of solution.

Developing a Convergent Class Model of Augmented Reality and Art (증강현실과 예술의 융복합 수업모형 개발)

  • Pi, Su-Young;Lee, Myung-Suk
    • Journal of Digital Convergence
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    • v.14 no.5
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    • pp.85-93
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    • 2016
  • Convergent education is essential to develop consilient thinking skills, ability to recreate information and knowledge, and problem-solving skills which are demanded in society of convergent knowledge. Accordingly, this study is going to develop a convergent class model of augmented reality and art based on consilient knowledge. Teaching model is designed based on the ADDIE model, which was operated by opening a real class in order to verify the validity. The result showed a high satisfaction of learners showed the ability to adapt to the major areas associated with the cultivation of learners. Characteristics of augmented reality medium were found to enable learners to analyze a new phenomenon and to fuse the necessary knowledge by inducing them to actively interact by the their intention in learning. Therefore, it is possible to cultivate creative and convergent persons of ability equipped with more flexible and creative thinking ability and discernment through deepened education for recognizing and understanding convergent cases between art and scientific technology. There is a study on the validation and the convergence of different subjects in terms of a variety of aspects, left behind of this study.

Polyvinylchloride Plasticized with Acetylated Monoglycerides Derived from Plant Oil (아세틸화 모노글리세라이드계 가소제 합성 및 PVC 가소성능에 관한 연구)

  • Lee, Sangjun;Yuk, Jeong-Suk;Kim, A-Ryeon;Choung, Ji Sun;Shin, Jihoon;Kim, Young-Wun
    • Applied Chemistry for Engineering
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    • v.28 no.1
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    • pp.42-49
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    • 2017
  • To replace phthalate plasticizer for PVC, acetylated monoglyceride (AMG) plasticizers were prepared from plant oil and their plasticization effects were also investigated. Transesterification of coconut oil by glycerol followed by acetylation with acetic anhydride gave AMG-CoCo (Coco : Coconut Oil). In addition, AMG-GMO (GMO : Glycerol monooleate) and AMG-GMO-Epoxy were synthesized by acetylation and epoxidation with glycerol monooleate. It was found that the thermal stability of AMG plasticizers increased in the following order: AMG-GMO-Epoxy > AMG-GMO > AMG-CoCo and all three plasticizers were thermally more stable than those of common petroleum-based plasticizer DOP (Dioctyl phthalate). The tensile strain values of the PVC containing AMG compounds were ca. 770~810%, while tensile strength values were ca. 19~22 MPa, which were higher than those of PVC containing DOP. DMA (Dynamic Mechanical Analysis) results showed that the miscibility of AMG-GMO-Epoxy in PVC was excellent and the $T_g$ of PVC containing AMG-GMO-Epoxy at 50 phr decreased down to $24^{\circ}C$. Finally, the leaching experiment result showed that the weight loss values of PVC containing AMG-GMO and AMG-GMO-Epoxy at 50 phr were as low as 2 and 1%, respectively, indicating that they have high water migration resistance. The above findings suggested that AMG-GMO-Epoxy could be one of plant oil-based PVC plasticizers to replace DOP.

SUBSERIES CONVERGENCE AND SEQUENCE-EVALUATION CONVERGENCE

  • Cho, Min-Hyung;Hwang, Hong Taek;Yoo, Won Sok
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.331-339
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    • 1998
  • We show a series of improved subseries convergence results, e.g., in a sequentially complete locally convex space X every weakly $c_0$-Cauchy series on X must be $c_0$-convergent. Thus, if X contains no copy of $c_0$, then every weakly $c_0$-Cauchy series on X must be subseries convergent.

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A SELF SCALING MULTI-STEP RANK ONE PATTERN SEARCH ALGORITHM

  • Moghrabi, Issam A.R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.15 no.4
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    • pp.267-275
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    • 2011
  • This paper proposes a new quickly convergent pattern search quasi-Newton algorithm that employs the multi-step version of the Symmetric Rank One (SRI). The new algorithm works on the factorizations of the inverse Hessian approximations to make available a sequence of convergent positive bases required by the pattern search process. The algorithm, in principle, resembles that developed in [1] with multi-step methods dominating the dervation and with numerical improvements incurred, as shown by the numerical results presented herein.

COMMON FIXED POINTS FOR TWO MAPPINGS WITH EXPANSIVE PROPERTIES ON COMPLEX VALUED METRIC SPACES

  • Piao, Yong-Jie
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.1
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    • pp.13-28
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    • 2015
  • In this paper, we use two mappings satisfying certain expansive conditions to construct convergent sequences in complex valued metric spaces, and then we prove that the limits of the convergent sequences are the points of coincidence or common fixed points for the two mappings. The main theorems in this paper are the generalizations and improvements of the corresponding results in real metric spaces, cone metric spaces and topological vector space-valued cone metric spaces.

A Convergent Synthesis of Bis-2-oxo Amide Triacylglycerol Analogues as Potent Lipase Inhibitors Using Acyl Cyanophosphorane Methodology

  • Lee, Kie-Seung
    • Bulletin of the Korean Chemical Society
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    • v.23 no.2
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    • pp.351-354
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    • 2002
  • A number of bis-2-oxo amide triacylglycerol analogues, a recently reported potent human gastric lipase inhibitor and its new analogues, have been prepared starting from 1,3-dibromo-2-propanol utilizing acyl cyanophosphorane methodology as a key step in a convergent manner. The key coupling reaction has been accomplished at -$78^{\circ}C$ between 1,3-diamino-2-propanol derivative and the labile diketo nitriles, derived from acyl cyanotriphenylphosphoranes upon oxidizing with $O_3$, under mild condition in moderate yields.