• Title/Summary/Keyword: uniform extension

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Free-edge effect in cross-ply laminated plates under a uniform extension

  • Sheng, Hongyu;Ye, Jianqiao
    • Structural Engineering and Mechanics
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    • v.18 no.3
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    • pp.377-388
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    • 2004
  • Based on the basic equations of elasticity, free-edge effects on stresses in cross-ply laminated plates are found by using the state space method. The laminates are subjected to uniaxial-uniform extension plate, which is a typical example of general plane strain problem. The study takes into account material constants of all individual material layers and the state equation of a laminate is solved analytically in the through thickness direction. By this approach, a composite plate may be composed of an arbitrary number of orthotropic layers, each of which may have different material properties and thickness. The solution provides a continuous displacement and inter-laminar stress fields across all material interfaces and an approxiamte prediction to the singularity of stresses occurring in the boundary layer region of a free-edge. Numerical solutions are obtained and compared with the results obtained from an alternative numerical method.

ON HOMOMORPHISMS ON CSASZAR FRAMES

  • Chung, Se-Hwa
    • Communications of the Korean Mathematical Society
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    • v.23 no.3
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    • pp.453-459
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    • 2008
  • We introduce a concept of continuous homomorphisms between Csaszar frames and show that the Cauchy completion in CsFrm gives rise to a coreflection in the category PCsFrm (resp. UCsFrm) consisting of proximal Csaszar frames and uniform continuous homomor-phisms (resp. uniform Csaszar frames and uniform continuous homomor-phisms).

AUTOMORPHISMS OF UNIFORM LATTICES OF NILPOTENT LIE GROUPS UP TO DIMENSION FOUR

  • Lee, Jong Bum;Lee, Sang Rae
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.653-666
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    • 2020
  • In this paper, when G is a connected and simply connected nilpotent Lie group of dimension less than or equal to four, we study the uniform lattices Γ of G up to isomorphism and then we study the structure of the automorphism group Aut(Γ) of Γ from the viewpoint of splitting as a natural extension.

Two Pieces Extension of the Bass Diffusion Model (Bass 확산모형의 이분 확장)

  • Hong, Jung-Sik;Eom, Seok-Jun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.34 no.4
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    • pp.15-26
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    • 2009
  • Bass diffusion model have played a central role in studying the diffusion of the new products since 1969, the year of publication of Bass model. Almost 750 publications based on the Bass diffusion model have explored extensions and applications. Extension models can be divided into two types. One is the model containing marketing-mix variables and the other is the model containing additional parameters. This paper presents another extension model of the latter type. Our model allows the time varying coefficients of innovation and imitation. Two pieces approximation of time varying coefficients is introduced and it's parameters are estimated based on NLS(Non-Linear Mean Square) method. Empirical studies are performed and the results show that our model is superior to the basic Bass model and the NUI(Non-Uniform Influence) model which is the well-known extension of the Bass model. The model developed in this paper is, also, transformed into the Bass model with the ready potential adopters in order to enhance the descriptive power.

Common Fixed Point Theorems in Probabllistic Metric Spaces and Extension to Uniform Spaces

  • Singh, S.L.;Pant, B.D.
    • Honam Mathematical Journal
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    • v.6 no.1
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    • pp.1-12
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    • 1984
  • Let(X, $\Im$) be a probabilistic metric space with a t-norm. Common fixed point theorems and convergence theorems generalizing the results of Ćirić, Fisher, Sehgal, Istrătescu-Săcuiu and others are proved for three mappings P,S,T on X satisfying $F_{Pu, Pv}(qx){\geq}min\left{F_{Su,Tv}(x),F_{Pu,Su}(x),F_{Pv,Tv}(x),F_{Pu,Tv}(2x),F_{Pv,Su}(2x)\right}$ for every $u, v {\in}X$, all x>0 and some $q{\in}(0, 1)$. One of the main results is extended to uniform spaces. Mathematics Subject Classification (1980): 54H25.

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Interpolation Technique for 3-D Conformal Array (3차원 콘포멀 어레이에서의 인터폴레이션 기술의 적용)

  • Kang, Kyung-mook;Seol, Kyung-Eun;Jeon, Junghwan;Koh, Jinhwan
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.12
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    • pp.1748-1751
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    • 2016
  • In this correspondence, we studied 3D uniform rectangular array as an extension of interpolation technique to compensate the beam pattern of 3D conformal array. The simulation result shows outstanding performance comparing to 2D interpolations.

Parallelism for Nested Loops with Simple Subscripts

  • Jeong, Sam-Jin
    • International Journal of Contents
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    • v.4 no.4
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    • pp.1-6
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    • 2008
  • In this paper, we propose improved loop splitting method for maximizing parallelism of single loops with non-constant dependence distances. By using the iteration and distance for the source of the first dependence, and by our defined theorems, we present generalized and optimal algorithms for single loops with non-uniform dependences (MPSL). By the extension of the MPSL method, we also apply to exploit parallelism from nested loops with simple subscripts, based on cycle shrinking and loop interchanging method. The algorithms generalize how to transform general single loops with non-uniform dependences as well as nested loops with simple subscripts into parallel loops.

Mixed Mode Crack Extension in Orthotropic Materials (직방성 복합재료에서 혼합모드 균열의 진전)

  • Kang, Seok-Jin;Cho, Hyung-Seok;Lim, Won-Kyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.10
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    • pp.35-41
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    • 2005
  • The problem of an orthotropic composite material with a central crack inclined with respect to the principal axes of material symmetry is studied. The material is subjected to uniform biaxial loading along its outer boundaries. The normal stress ratio theory is applied to predict initial crack extension behavior in cracked composite materials. The dependence of the crack extension angle with respect to the biaxial loading and the principal axes of material symmetry is discussed. Our analysis shows significant effects of horizontal loading, crack angle and fiber angle on the crack extension.

Colloidal Self-Assembly Route to Flexible Cholesteric LCDs and Other High-Efficiency Displays

  • Chari, Krishnan
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.63-66
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    • 2006
  • We describe a unique process based on colloidal self-assembly that results in a uniform (almost hexagonally close-packed) layer of liquid crystal domains over large areas leading to single-substrate cholesteric LCDs with low switching voltages, excellent contrast, and high brightness. Extension to guest-host LCDs is also discussed.

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