• Title/Summary/Keyword: American school of topology

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R. L. Moore's Moore Method and its meaning in Korea (Robert Lee Moore의 교수법과 한국에서의 의미)

  • Lee, Sang-Gu;Ree, Sang-Wook;Kim, Duk-Sun
    • Journal for History of Mathematics
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    • v.21 no.1
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    • pp.79-96
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    • 2008
  • In early 21st century, universities in Korea has been asked the new roles according to the changes of educational and social environment. With Korea's NURI and Brain Korea 21 project support, some chosen research oriented universities now should produce "teacher of teachers". We look 100 years back America's mathematics and see many resemblances between the status of US mathematics at that time and the current status of Korean mathematics, and find some answer for that. E. H. Moore had produced many good research mathematicians through his laboratory teaching techniques. R. L. Moore was his third PhD students. He developed his Texas/Moore method. In this article, we analyze what R. L. Moore had done through his American School of Topology and Moore method. We consider the meaning that early University of Texas case gives us in PBL(Problem Based Learning) process.

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Optimum cost design of frames using genetic algorithms

  • Chen, Chulin;Yousif, Salim Taib;Najem, Rabi' Muyad;Abavisani, Ali;Pham, Binh Thai;Wakil, Karzan;Mohamad, Edy Tonnizam;Khorami, Majid
    • Steel and Composite Structures
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    • v.30 no.3
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    • pp.293-304
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    • 2019
  • The optimum cost of a reinforced concrete plane and space frames have been found by using the Genetic Algorithm (GA) method. The design procedure is subjected to many constraints controlling the designed sections (beams and columns) based on the standard specifications of the American Concrete Institute ACI Code 2011. The design variables have contained the dimensions of designed sections, reinforced steel and topology through the section. It is obtained from a predetermined database containing all the single reinforced design sections for beam and columns subjected to axial load, uniaxial or biaxial moments. The designed optimum beam sections by using GAs have been unified through MATLAB to satisfy axial, flexural, shear and torsion requirements based on the designed code. The frames' functional cost has contained the cost of concrete and reinforcement of steel in addition to the cost of the frames' formwork. The results have found that limiting the dimensions of the frame's beams with the frame's columns have increased the optimum cost of the structure by 2%, declining the re-analysis of the optimum designed structures through GA.