• Title/Summary/Keyword: Applied Mathematics

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OPTIMALITY FOR MULTIOBJECTIVE FRACTIONAL VARIATIONAL PROGRAMMING

  • JO, CHEONGLAI;KIM, DOSANG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.2
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    • pp.59-66
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    • 2000
  • We consider a multiobjective fractional variational programming problem (P) involving vector valued functions. By using the concept of proper efficiency, a relationship between the primal problem and parametric multiobjective variational problem is indicated.

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TEACHING APPLIED MATHEMATICS FOR ENGINEERS - A NEW TEACHING PARADIGM BASED ON INDUSTRIAL MATHEMATICS

  • Taavitsainen, Veli-Matti
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.2
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    • pp.31-40
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    • 2007
  • What is the "new paradigm"? It is impossible express it in one or two words, but if one had to; the closest might be the "holistic approach". The expression can be justified by the fact that the conclusions above lead to a greater intermixing of mathematics with engineering and natural sciences subjects, typically expressed in the form of examples of simplified real problems. They also lead to a greater intermixing of subjects within mathematics so that the courses should have less separation e.g. between symbolic and numerical mathematics. The conclusions also lead to the spreading the mathematics courses throughout all study years, not just the first two years. Of course, this should be done with great care in order to guarantee studies that are logically linked together. The new paradigm also means that the needs arising from industrial mathematics must be taken into account in the contents of engineering mathematics courses. Such topics are e.g. multivariate methods, statistics and use of mathematical software. What are we expected to gain from the paradigm shift? The primary benefit should be in obtaining more productive engineers equipped with a better degree of mathematical preparedness for engineering problems. But in addition, it should also promote more intensive use of applied mathematics and easier communication with professional mathematicians, often needed in complicated industrial problems.?Finally, it can be noted that the new paradigm is in harmony with the basic ideas of the CDIO (Conceive - Design - Implement - Operate) initiative for producing the next generation of engineers [1]. New ideas for engineering education can be found also in the homepage of SEFI (European Society for Engineering Education) [2].

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A STUDY OF SUM OF DIVISOR FUNCTIONS AND STIRLING NUMBER OF THE FIRST KIND DERIVED FROM LIOUVILLE FUNCTIONS

  • KIM, DAEYEOUL;KIM, SO EUN;SO, JI SUK
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.435-446
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    • 2018
  • Using the theory of combinatoric convolution sums, we establish some arithmetic identities involving Liouville functions and restricted divisor functions. We also prove some relations involving restricted divisor functions and Stirling numbers of the first kind for divisor functions.

Microstructural Analysis of Directionally Solidified Materials Obtained via Line-Scan SLS of Si Films

  • Chung, U.J.;Limanov, A.B.;Wilt, P.C. Van Der;Chitu, A.M.;Im, James S.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.1744-1749
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    • 2006
  • Line-scan SLS of thin Si films permits the attainment of low-defect-density Si films with a directionally solidified microstructure. This paper deals with: (1) identifying and examining the structural defects that are found in the resultant material, (2) how the spatial variations in the type and density of the observed defects may potentially affect the overall uniformity of the resulting devices, and (3) some technical options that may be applied in order to potentially alleviate the situation.

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Two-shot SLS of Si film for manufacturing of AMOLED displays

  • Limanov, A.B.;Chung, U.J.;Van Der Wilt, P.C.;Chitu, A.M.;Choi, J.B.;Turk, B.A.;Im, James S.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2008.10a
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    • pp.1267-1268
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    • 2008
  • The two-shot SLS method has recently been successfully implemented in volume manufacturing of advanced LTPS-based LCDs. In this presentation, we discuss how the approach is also well suited for being implemented in high-throughput and high-yield manufacturing of large AMOLED displays on large glass substrates.

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Uniformity Optimization of TFTs Fabricated on 2-shot SLS-Processed Si Films

  • Turk, Brandon A.;Wilt, P.C. Van Der;Crowder, M.A.;Voutsas, A.T.;Limanov, A.B.;Chung, U.J.;Im, James S.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.1750-1755
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    • 2006
  • Nonoptimal placement of short-channel-length TFTs in large-grained polycrystalline Si films with a periodic microstructure, as for instance obtained via 2-shot SLS, can potentially lead to degradation in the overall uniformity of the resultant devices. In this paper, we explain and demonstrate that by simply introducing a well-defined misorientation between the devices and the periodic microstructure, it is possible to significantly reduce (and potentially entirely eliminate) the device nonuniformity problem that can arise from such a cause.

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Excimer Laser-induced Crystallization of Si Films for Manufacturing LTPS TFT-based Displays

  • Chung, U.J.;Limanov, A.B.;Wilt, P.C. Van Der;Chitu, A.M.;Im, James S.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2007.08a
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    • pp.7-7
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    • 2007
  • Laser-irradiation-induced crystallization of as-deposited amorphous precursor films constitutes an integral step in fabricating LTPS TFTs. Consideration of various factors leads one to conclude that, for display manufacturers, choosing how to crystallize the films can be identified as being tactically and strategically significant. This paper will begin by reviewing the fundamental aspects of laser crystallization, and then present noteworthy advances and progress, which have recently been accomplished in the field. In particular, we will focus on communicating the evolving status associated with the sequential lateral solidification (SLS) method, which can be presently identified as the most strategically enabling crystallization method.

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DUALITY IN MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEMS INVOLVING (Hp, r)-INVEX FUNCTIONS

  • Jayswal, Anurag;Ahmad, I.;Prasad, Ashish Kumar
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.99-111
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    • 2014
  • In this paper, we have taken step in the direction to establish weak, strong and strict converse duality theorems for three types of dual models related to multiojective fractional programming problems involving ($H_p$, r)-invex functions.