• Title/Summary/Keyword: multiply

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Liquid crystal alignment on the multiply photo-treated layers by the interfered laser light

  • Lee, Eun-Kyu;Kim, Jong-Hyun
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.838-841
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    • 2006
  • Orientational alignment patterns proved that they are very useful for realizing diverse properties of liquid crystals. Here we tried to produce the patterns combining interfered laser light and double irradiations. A photo-isomerizable polymer doped with azo dye, which induce uniform liquid crystal alignment to the uniform laser irradiation, was used as the alignment layer. Double irradiations into two orthogonal directions brought the orientation patterns similar to the checkerboard. It indicates the possibility of bistability on those patterns.

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40 GHz Pulse Train Generation by Spectral Filtering for Repetition Rate Quadruplication

  • Luan, Wanyong;Kang, Kyong-Tae;Seo, Dong-Sun
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.415-416
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    • 2008
  • We demonstrate a simple method to multiply the repetition rate of an optical pulse train by a fiber Fabry-Parot interferometer (FFPI) spectral filtering. A stable 40 GHz pulse train at 1550 nm is successfully generated by removing unwanted spectral components of a 10 GHz actively mode-locked laser source by passing a high finesse FFPI.

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COMPUTATION OF HANKEL MATRICES IN TERMS OF CLASSICAL KERNEL FUNCTIONS IN POTENTIAL THEORY

  • Chung, Young-Bok
    • Journal of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.973-986
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    • 2020
  • In this paper, we compute the Hankel matrix representation of the Hankel operator on the Hardy space of a general bounded domain with respect to special orthonormal bases for the Hardy space and its orthogonal complement. Moreover we obtain the compact form of the Hankel matrix for the unit disc case with respect to these bases. One can see that the Hankel matrix generated by this computation turns out to be a generalization of the case of the unit disc from the single simply connected domain to multiply connected domains with much diversities of bases.

An Application of Fault Tree Analysis in Industrial Safety System (산업 안전시스템에 있어서 Fault Tree Analysis의 적용)

  • 김진규
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.13 no.21
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    • pp.43-50
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    • 1990
  • Fault tree analysis(FTA) is available to the engineer for determining reliability of complex industrial safety system. Therefore quantitative aspects of FTA greatly multiply its power this paper proceeds of presenting the methodology of FTA, including an approach to constructing in fault tree. A working guide to the use of FTA for the purpose of cost/benefit determination in industrial safety system is given. Finally, an analytic method for uncertainty analysis of the top event of a complex system is described.

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Synthesis of Sulfide-based Phosphors by Multiply Combined Methods Based Upon Inorganic Chemistry

  • Kakihana, Masato;Petrykin, Valery
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.121-124
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    • 2009
  • We developed a panel of innovative solution-based approaches for synthesis of multicomponent sulfide phosphor materials. The application of these synthesis strategies allowed for preparation of high-purity and high-brightness $BaAl_2S_4:Eu$ and $Ba_2SiS_4:Eu$ phosphors and led to the discovery of new phosphors suitable for application in the LED-based lighting including $Sr_2ZnS_3:Eu$, $CaBaSiS_4:Eu$ and $(Ba,Sr)_2ZnS_3:Eu$.

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A Study on Natural Convection from Two Cylinders in a Cavity

  • Mochimaru Yoshihiro;Bae Myung-Whan
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1773-1778
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    • 2006
  • Steady-state natural convection heat transfer characteristics from cylinders in a multiply-connected bounded region are clarified. A spectral finite difference scheme (spectral decomposition of the system of partial differential equations, semi-implicit time integration) is applied in numerical analysis, with a boundary-fitted conformal coordinate system through a Jacobian elliptic function with a successive transformation to formulate a system of governing equations in terms of a stream function, vorticity and temperature. Multiplicity of the domain is expressed explicitly.

THE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENT HAVING FINITE DEFICIENT VALUE

  • Zhang, Guowei
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1495-1506
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    • 2021
  • The growth of solutions of second order complex differential equations f" + A(z)f' + B(z)f = 0 with transcendental entire coefficients is considered. Assuming that A(z) has a finite deficient value and that B(z) has either Fabry gaps or a multiply connected Fatou component, it follows that all solutions are of infinite order of growth.

Square-and-Divide Modular Exponentiation (제곱-나눗셈 모듈러 지수연산법)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.18 no.4
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    • pp.123-129
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    • 2013
  • The performance and practicality of cryptosystem for encryption, decryption, and primality test are primarily determined by the implementation efficiency of the modular exponentiation of $a^b$ (mod m). To compute $a^b$ (mod m), the standard binary squaring (square-and-multiply) still seems to be the best choice. However, in large b bits, the preprocessed n-ary, ($n{\geq}2$ method could be more efficient than binary squaring method. This paper proposes a square-and-divide and unpreprocessed n-ary square-and-divide modular exponentiation method. Results confirmed that the square-and-divide method is the most efficient of trial number in a case where the value of b is adjacent to $2^k+2^{k-1}$ or to. $2^{k+1}$. It was also proved that for b out of the beforementioned range, the unpreprocessed n-ary square-and-divide method yields higher efficiency of trial number than the general preprocessed n-ary method.

Fold Cracking of High Grammage Coated Paper Depending on Pulp Composition and Structure of Base Paper (도공원지의 원료 조성 및 구조에 따른 고평량 도공지의 접힘 터짐)

  • Sim, Kyujeong;Youn, Hye Jung;Oh, Kyudeok;Lee, Hak Lae;Yeu, Seung Uk;Lee, Yong Min
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.47 no.4
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    • pp.38-45
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    • 2015
  • Fold cracking is one of quality troubles of coated papers. In this study, the fold cracking of high grammage ($250g/m^2$) coated paper made with the different pulp composition and layer structure of base paper was investigated. The single layered, high grammage base paper was prepared by mixing of hardwood and softwood bleached kraft pulp fibers with the different ratios. The high grammage coated paper showed the higher fold cracking than low grammage coated paper because of the increase in thickness. The increase in the content of softwood pulp fibers reduced the fold cracking in the case of high grammage coated paper. When the creasing process was conducted before folding process, the fold cracking of coated paper decreased. By manufacturing the base paper with multiply structure, the fold cracking of coated paper could be reduced significantly, especially when the BCTMP and OCC were used as a middle layer and the creasing process was carried out. The delamination of layers in base paper affected the fold cracking positively.