• Title/Summary/Keyword: Engineering Mathematics

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EXTENSIONS OF BANACH'S AND KANNAN'S RESULTS IN FUZZY METRIC SPACES

  • Choudhur, Binayak S.;Das, Krishnapada;Das, Pradyut
    • Communications of the Korean Mathematical Society
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    • v.27 no.2
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    • pp.265-277
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    • 2012
  • In this paper we establish two common fixed point theorems in fuzzy metric spaces. These theorems are generalisations of the Banach contraction mapping principle and the Kannan's fixed point theorem respectively in fuzzy metric spaces. Our result is also supported by examples.

CLOSED AND DENSE ELEMENTS OF BE-ALGEBRAS

  • Prabhakar, M.Bala;Vali, S.Kalesha;Sambasiva Rao., M.
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.1
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    • pp.53-67
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    • 2019
  • The notions of closed elements and dense elements are introduced in BE-algebras. Characterization theorems of closed elements and closed filters are obtained. The notion of dense elements is introduced in BE-algebras. Dense BE-algebras are characterized with the help of maximal filters and congruences. The concept of D-filters is introduced in BE-algebras. A set of equivalent conditions is derived for every D-filter to become a closed filter.

Weighted Sharing of Two Sets

  • Lahiri, Indrajit;Banerjee, Abhijit
    • Kyungpook Mathematical Journal
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    • v.46 no.1
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    • pp.79-87
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    • 2006
  • Using the notion of weighted sharing of sets we improve two results of H. X. Yi on uniqueness of meromorphic functions.

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Teaching differential equations based on pseudo-STEM (Pseudo-STEM에 기초한 미분방정식 교육)

  • Ha, Jun-Hong;Shim, Jae-Dong
    • Journal of Practical Engineering Education
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    • v.5 no.2
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    • pp.177-183
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    • 2013
  • In this paper we investigate the history of the education based on STEM which is one of the topics of teaching method of Mathematics and Science oriented to the student, Hand-on education be applying partly to college education and the case of the education of the subject "Mathematics and Science for Engineering" of Japan's college. The educational method based on STEM make the student to recognize by themselves the necessity of the mathematics in the study of the technological and engineering problem, and furthermore draw a conclusion which is the proper method to change from passive to positive the study attitude for the mathematics. But it is more or less unreasonable to apply directly to college education with not physical fusion but chemical fusion of S (science), T (technology), E (engineering) and M (mathematics). Therefore we make themselves to find T and E considered at graduation works. We propose Pseudo-STEM teaching method linking this recognition obtained through self-activity to the mathematics subject.

Interactive Engineering Mathematics Laboratory (SageMath를 활용한 '대화형 공학수학 실습실'의 개발과 활용)

  • Lee, Sang-Gu;Lee, Jae Hwa;Park, Jun H.;Kim, Eung-Ki
    • Communications of Mathematical Education
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    • v.30 no.3
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    • pp.281-294
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    • 2016
  • This study deals with the content that was developed by the authors and the utilization of the 'Interactive Engineering Math Laboratory (IEmath Lab).' IEmath Lab provides online review lectures as well as a wide range of examples and exercises from the curriculum of engineering mathematics courses. The lectures come with pre-coded Python-based SageMath cells through which students can run and modify the code directly from this free laboratory. IEmath Lab is accessible via mobile devices so that the students can use it anywhere, anytime for maximum learning effectiveness and achievement. IEmath Lab would be an ideal tool for the effective learning and teaching of engineering mathematics, which combines theory and practice.