• Title/Summary/Keyword: Mapping

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The Influences of the Role-playing Analogy in Chemistry Concept Learning on Mapping Understanding and Mapping Errors (화학 개념학습에서 역할놀이 비유가 대응 관계 이해도 및 대응 오류에 미치는 영향)

  • Kim, Kyung-Sun;Yang, Chan-Ho;Noh, Tae-Hee
    • Journal of The Korean Association For Science Education
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    • v.29 no.8
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    • pp.898-909
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    • 2009
  • In this study, we investigated the influences of the role-playing analogy in chemistry concept learning on mapping understanding and mapping errors by analogical reasoning ability level. Seventh-graders (N=151) at a middle school were assigned to the comparison group and the experimental group. The students of the experimental group were taught with the 'running in the circle' role-playing analogy. After the students were taught about 'the relation between volume and pressure of gas', the test of mapping understanding in the next class and the retention test four weeks later were administered. The students with typical mapping errors were also interviewed to investigate their mapping processes. The results revealed that the role-playing analogy in chemistry concept learning improved mapping understanding and its retention regardless of analogical reasoning ability level. It was also found that the students in the experimental group had fewer mapping errors than those in the comparison group. However, there were similar patterns of mapping errors in both groups, and there were no significant differences in the frequencies of each type of mapping errors by analogical reasoning ability level. Educational implication of these findings are discussed.

A Study on Effects of the Concept Mapping for Biology Learning (생물학습에 개념도를 이용한 효과에 관한 연구)

  • Song, Whan-Sung;Kim, Jin-Tae;Hur, Chin-Hyu
    • Journal of The Korean Association For Science Education
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    • v.19 no.3
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    • pp.479-486
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    • 1999
  • This study was to inquire the effectiveness of concept mapping on the learning of biology concept. In this study the achivement acquired by the students in the classes of individual concept mapping and cooperative concept mapping were compared with those of traditional lecture on "photosynthesis and plant respiration". The concept mapping teaching methods, by individuals and groups. were more effective than traditional one. The results of analysis of covariance (ANCOVA) showed that these difference were statistically significant; individual concept mapping was more effective than traditional class result(p<.008). Also the cooperative concept mapping was effective than traditional class result(p<.0001). And the cooperative concept mapping was more effective than the individual one(p<.04). So that cooperative concept mapping is the most effective method in biology class.

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Domain Mapping using Nonlinear Finite Element Formulation

  • Patro, Tangudu Srinivas;Voruganti, Hari K.;Dasgupta, Bhaskar;Basu, Sumit
    • International Journal of CAD/CAM
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    • v.8 no.1
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    • pp.29-36
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    • 2009
  • Domain mapping is a bijective transformation of one domain to another, usually from a complicated general domain to a chosen convex domain. This is directly useful in many application problems like shape modeling, morphing, texture mapping, shape matching, remeshing, path planning etc. A new approach considering the domain as made up of structural elements, like membranes or trusses, is developed and implemented using the nonlinear finite element formulation. The mapping is performed in two stages, boundary mapping and inside mapping. The boundary of the 3-D domain is mapped to the surface of a convex domain (in this case, a sphere) in the first stage and then the displacement/distortion of this boundary is used as boundary conditions for mapping the interior of the domain in the second stage. This is a general method and it develops a bijective mapping in all cases with judicious choice of material properties and finite element analysis. The consistent global parameterization produced by this method for an arbitrary genus zero closed surface is useful in shape modeling. Results are convincing to accept this finite element structural approach for domain mapping as a good method for many purposes.

A NEW GENERALIZED RESOLVENT AND APPLICATION IN BANACH MAPPINGS

  • Wang, Xian;Chen, Jun-Min;He, Zhen
    • East Asian mathematical journal
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    • v.30 no.1
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    • pp.69-77
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    • 2014
  • In this paper, we introduce a new generalized resolvent in a Banach space and discuss its some properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved.

Design of a robot learning controller using associative mapping memory (연관사상 메모리를 이용한 로봇 머니퓰레이터의 학습제어기 설계)

  • 정재욱;국태용;이택종
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.936-939
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    • 1996
  • In this paper, two specially designed associative mapping memories, called Associative Mapping Elements(AME) and Multiple-Digit Overlapping AME(MDO-AME), are presented for learning of nonlinear functions including kinematics and dynamics of robot manipulators. The proposed associative mapping memories consist of associative mapping rules(AMR) and weight update rules(WUR) which guarantee generalization and specialization of input-output relationship of learned nonlinear functions. Two simulation results, one for supervised learning and the other for unsupervised learning, are given to demonstrate the effectiveness of the proposed associative mapping memories.

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A General Uniqueness Theorem concerning the Stability of AQCQ Type Functional Equations

  • Lee, Yang-Hi;Jung, Soon-Mo
    • Kyungpook Mathematical Journal
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    • v.58 no.2
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    • pp.291-305
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    • 2018
  • In this paper, we prove a general uniqueness theorem which is useful for proving the uniqueness of the relevant additive mapping, quadratic mapping, cubic mapping, quartic mapping, or the additive-quadratic-cubic-quartic mapping when we investigate the (generalized) Hyers-Ulam stability.

STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY MONOTONE MAPPINGS

  • He, Xin-Feng;Xu, Yong-Chun;He, Zhen
    • East Asian mathematical journal
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    • v.27 no.1
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    • pp.1-9
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    • 2011
  • In this paper, we consider an iterative scheme for finding a common element of the set of fixed points of a asymptotically quasi nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. Then we show that the sequence converges strongly to a common element of two sets. Using this result, we consider the problem of finding a common fixed point of a asymptotically quasi-nonexpansive mapping and strictly pseudocontractive mapping and the problem of finding a common element of the set of fixed points of a asymptotically quasi-nonexpansive mapping and the set of zeros of an inverse-strongly monotone mapping.

Rendering Performance Evaluation of 3D Games with Interior Mapping (Interior Mapping이 적용된 3D 게임의 렌더링 성능 평가)

  • Lee, Jae-Won;Kim, Youngsik
    • Journal of Korea Game Society
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    • v.19 no.6
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    • pp.49-60
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    • 2019
  • Interior Mapping has been used to reduce graphics resources. In this paper, rendering speed(FPS), the number of polygons, shader complexity and each resource size of Interior Mapping were compared to those of actual modeling in order to examine the performance of 3D games when the technology is adapted by utilizing Unreal Engine 4. In addition, for the efficient application, the difference in performance according to the resolution and detail of cube map texture was verified.

NEW HYBRID ALGORITHM FOR WEAK RELATIVELY NONEXPANSIVE MAPPING AND INVERSE-STRONGLY MONOTONE MAPPING IN BANACH SPACE

  • Zhang, Xin;Su, Yongfu;Kang, Jinlong
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.87-102
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    • 2011
  • The purpose of this paper is to prove strong convergence theorems for finding a common element of the set of fixed points of a weak relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping by a new hybrid method in a Banach space. We shall give an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping in Banach space $l^2$. Our results improve and extend the corresponding results announced by Ying Liu[Ying Liu, Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space, Appl. Math. Mech. -Engl. Ed. 30(7)(2009), 925-932] and some others.

MONOTONE CQ ALGORITHM FOR WEAK RELATIVELY NONEXPANSIVE MAPPINGS AND MAXIMAL MONOTONE OPERATORS IN BANACH SPACES

  • Kang, Jinlong;Su, Yongfu;Zhang, Xin
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.293-309
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    • 2011
  • The purpose of this article is to prove strong convergence theorems for weak relatively nonexpansive mapping which is firstly presented in this article. In order to get the strong convergence theorems for weak relatively nonexpansive mapping, the monotone CQ iteration method is presented and is used to approximate the fixed point of weak relatively nonexpansive mapping, therefore this article apply above results to prove the strong convergence theorems of zero point for maximal monotone operators in Banach spaces. Noting that, the CQ iteration method can be used for relatively nonexpansive mapping but it can not be used for weak relatively nonexpansive mapping. However, the monotone CQ method can be used for weak relatively nonexpansive mapping. The results of this paper modify and improve the results of S.Matsushita and W.Takahashi, and some others.