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A New Approach to Risk Comparison via Uncertain Measure

  • Li, Shengguo;Peng, Jin
    • Industrial Engineering and Management Systems
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    • v.11 no.2
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    • pp.176-182
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    • 2012
  • This paper presents a new approach to risk comparison in uncertain environment. Based on the uncertainty theory, some uncertain risk measures and risk comparison rules are proposed. Afterward the bridges are built between uncertain risk measures and risk comparison rules. Finally, several comparable examples are given.

Interface characteristics of RC beams strengthened with FRP plate

  • Peng, Minglan;Shi, Zhifei
    • Structural Engineering and Mechanics
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    • v.18 no.3
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    • pp.315-330
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    • 2004
  • A four-point bending RC beam strengthened with FRP plate is investigated based on the theory of elasticity. Taking the adhesive layer into account but ignoring some secondary parameters, the analytical solutions of the normal stress and shear stress on concrete-adhesive interface are obtained and discussed. Besides, the pure bending region of the beam is analyzed and the ultimate load of the beam is predicted. The results obtained in the present paper agree very well with both the results of FEM and the experimental findings.

SPIRAL WAVE GENERATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TWO TIME DELAYS

  • GAN, WENZHEN;ZHU, PENG
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.1113-1122
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    • 2015
  • This paper is concerned with the pattern formation of a diffusive predator-prey model with two time delays. Based upon an analysis of Hopf bifurcation, we demonstrate that time delays can induce spatial patterns under some conditions. Moreover, by use of a series of numerical simulations, we show that the type of spatial patterns is the spiral wave. Finally, we demonstrate that the spiral wave is asymptotically stable.

Application of Xinanjiang Model in Flood Forecasting (신안강모형(新安江模型)에 의한 홍수예보(洪水豫報))

  • Qiong, Wang;Peng, Jia;An, Shan Fu;Jee, Hong-Kee
    • 한국방재학회:학술대회논문집
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    • 2007.02a
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    • pp.583-586
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    • 2007
  • 본 논문에서는 삼수원신안강모형(三水源新安江模型)으로 한국 위천유역에 대하여 홍수예보를 모의하였다. 결과 신안강모형(新安江模型)은 위천유역의 홍수를 비교적 정확하게 모의하였고 평균 모형 효율성 계수는 0.93이나 되었으므로 홍수예보를 적용하는데 적합하다. 신안강모형(新安江模型)은 습윤 반습윤지구의 축만유출(蓄滿流出)의 모형으로서 초기 토양함수량이 풍부한 흥수에 대해서는 정확도가 매우 높다. 그러므로 홍수예보를 하는데 있어서 신안강모형(新安江模型)이 광범한 실용가치가 있다고 예상된다.

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TWO INEQUALITIES INVOLVING HADAMARD PRODUCTS OF POSITIVE SEMI-DEFINITE HERMITIAN MATRICES

  • Cao, Chong-Guang;Yang, Zhong-Peng;Xian Zhang
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.101-109
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    • 2002
  • We extend two inequalities involving Hadamard Products of Positive definite Hermitian matrices to positive semi-definite Hermitian matrices. Simultaneously, we also show the sufficient conditions for equalities to hold. Moreover, some other matrix inequalities are also obtained. Our results and methods we different from those which are obtained by S. Liu in [J. Math. Anal. Appl. 243:458-463(2000)] and B.-Y Wang et al in [Lin. Alg. Appl. 302-303: 163-172(1999)] .

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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