• Title, Summary, Keyword: Applied Mathematics

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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.

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

  • Chitu, A.M.;Wilt, P.C. Van Der;Chung, U.J.;Turk, B.A.;McCreary, V.M.;Limanov, A.B.;Im, James S.
    • 한국정보디스플레이학회:학술대회논문집
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    • pp.763-767
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    • 2006
  • Directionally solidified Si films obtained via line-scan SLS can lead to attainment of high-mobility TFTs. The crystallographic texture of the resultant materials can potentially be an important factor because the spatial details thereof may impact the overall device uniformity. Here, we present EBSD analysis of these materials that reveal the existence of relatively large domains with different textures and differing amounts of defects, which in turn, may adversely affect device uniformity.

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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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    • 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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Analysis and comparison on the Contents including Calculator Use in Applied Mathematics Textbook (실용수학 교과서의 계산기 관련 단원 내용 비교 분석)

  • Hwang Hye-Jeang;Ko Yu-Mi
    • The Mathematical Education
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    • v.45 no.1
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    • pp.35-60
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    • 2006
  • In the seventh mathematics curriculum, the use of technological tools including calculator and computer are generally recommended through the seventh subjects related to mathematics emphasized, and especially in 'Applied Mathematics' subject, their use are more strongly emphasized and reflected. The total four kinds of textbooks of Applied Mathematics includes contents on their use. This study investigates what are contents on calculator use, how they are developed and constructed in Applied Mathematics Textbook. Furthermore, this study is focused on the analysis and comparison on those factors of four kinds of textbooks. Based on these results, this study ultimately hope to suggest how effectively calculator use be developed and constructed in textbook both in Applied Mathematics and the other mathematics subjects.

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(100) Textured Si Films with Controlled Microstructures Obtained via Hybrid SLS

  • Wilt, P.C. Van Der;Chitu, A.M.;Turk, B.A.;Chung, U.J.;Limanov, A.B.;Im, James S.
    • 한국정보디스플레이학회:학술대회논문집
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    • pp.768-771
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    • 2006
  • Uniformity and performance characteristics of LTPS TFTs are important parameters for making advanced active-matrix displays. In this paper, we describe an SLS-based crystallization approach for producing orientation-controlled Si films with reduced concentrations of planar defects that stand to potentially deliver unprecedented levels of device uniformity and performance. Specifically, a 2-step process referred to as hybrid SLS has been developed that produces a variety of high-quality {100} surface-oriented Si films.

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NUMERICAL STUDY FOR THE PARAMETER ESTIMATION OF THE MOISTURE TRANSFER COEFFICIENT : 2D CASE

  • Lee, Yong-Hun;Park, Yeon-Hee
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1257-1268
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    • 2011
  • The thermal behavior of wood exposed to the outdoors is influenced by solar absorptivity and longwave emissivity. However, it is difficult to measure that properties directly. Hence we estimate the values of the parameter by using the least-square optimization technique. Finally we report the results for the computation of the values of the parameters.

SOME INTEGRALS ASSOCIATED WITH MULTIINDEX MITTAG-LEFFLER FUNCTIONS

  • KHAN, N.U.;USMAN, T.;GHAYASUDDIN, M.
    • Journal of applied mathematics & informatics
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    • v.34 no.3_4
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    • pp.249-255
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    • 2016
  • The object of the present paper is to establish two interesting unified integral formulas involving Multiple (multiindex) Mittag-Leffler functions, which is expressed in terms of Wright hypergeometric function. Some deduction from these results are also considered.

BARRIER OPTION PRICING UNDER THE VASICEK MODEL OF THE SHORT RATE

  • Sun, Yu-dong;Shi, Yi-min;Gu, Xin
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1501-1509
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    • 2011
  • In this study, assume that the stock price obeys the stochastic differential equation driven by mixed fractional Brownian motion, and the short rate follows the Vasicek model. Then, the Black-Scholes partial differential equation is held by using fractional Ito formula. Finally, the pricing formulae of the barrier option are obtained by partial differential equation theory. The results of Black-Scholes model are generalized.