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Case Studies of Developing Creativity through Integrating Algorithmic Teaching into Mathematical Activities

  • Peng Aihui
    • Research in Mathematical Education
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    • v.9 no.4 s.24
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    • pp.341-350
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    • 2005
  • In this increasingly technological world, the creativity development has been highlighted much in many countries. In this paper, two mathematical activities with Chinese characteristics are presented to illustrate how to integrate algorithmic teaching into mathematical activities to develop students' creativity. Case studies show that the learning of algorithm can be transferred into creative learning when students construct their own algorithms in Logo environment rather than being indoctrinated the existing algorithms. Creativity development in different stages of mathematical activities and creativity development in programming are also discussed.

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Flood Monitoring and Assessment by Remote Sensing and GIS in China

  • Jiren, Li;Silong, Zhang;Sun, Chun-Peng
    • Proceedings of the KSRS Conference
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    • 2002.10a
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    • pp.175-182
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    • 2002
  • The paper introduces the application of flood monitoring and assessment by remote sensing and GIS in china and describes the frame of operational system for practical performance of flood disaster mitigation. In addition, The operational system for flood monitoring and assessment in RSTAC/ MWR and its application in the floods of 1998,1999 in china are introduced.

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ON STABLE MINIMAL SURFACES IN THREE DIMENSIONAL MANIFOLDS OF NONNEGATIVE SCALAR CURVATURE

  • Lee, Chong-Hee
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.175-177
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    • 1989
  • The following is the basic problem about the stability in Riemannian Geometry; given a Riemannian manifold N, find all stable complete minimal submanifolds of N. As answers of this problem, do Carmo-Peng [1] and Fischer-Colbrie and Schoen [3] showed that the stable minimal surfaces in R$^{3}$ are planes and Schoen-Yau [5] and Fischer-Colbrie and Schoen [3] gave a solution for the case where the ambient space is a three dimensional manifold with nonnegative scalar curvature. In this paper we will remove the assumption of finite absolute total curvature in [3, Theorem 3].

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ON THE EXTENSION DIMENSION OF MODULE CATEGORIES

  • Peng, Yeyang;Zhao, Tiwei
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1389-1406
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    • 2020
  • Let Λ be an Artin algebra and mod Λ the category of finitely generated right Λ-modules. We prove that the radical layer length of Λ is an upper bound for the radical layer length of mod Λ. We give an upper bound for the extension dimension of mod Λ in terms of the injective dimension of a certain class of simple right Λ-modules and the radical layer length of DΛ.

CONNECTEDNESS AND COMPACTNESS OF WEAK EFFICIENT SOLUTIONS FOR VECTOR EQUILIBRIUM PROBLEMS

  • Long, Xian Jun;Peng, Jian Wen
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1225-1233
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    • 2011
  • In this paper, without assumption of monotonicity, we study the compactness and the connectedness of the weakly efficient solutions set to vector equilibrium problems by using scalarization method in locally convex spaces. Our results improve the corresponding results in [X. H. Gong, Connectedness of the solution sets and scalarization for vector equilibrium problems, J. Optim. Theory Appl. 133 (2007), 151-161].