• Title/Summary/Keyword: almost convergence

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STRONG LAWS FOR WEIGHTED SUMS OF I.I.D. RANDOM VARIABLES

  • Cai, Guang-Hui
    • Communications of the Korean Mathematical Society
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    • v.21 no.4
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    • pp.771-778
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    • 2006
  • Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions on both the weights and the distribution. The result obtained extends and sharpens the result of Sung ([12]).

The measurement of p-n junction depth by SEM

  • Hur, Chang-Wu;Lee, Kyu-Chung
    • Journal of information and communication convergence engineering
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    • v.5 no.4
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    • pp.324-327
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    • 2007
  • In this paper, the p-n junction depth with nondestructive method by using scanning electron microscopy (SEM) is determined and conformed. By measuring the critical short circuit current on the p-n junction which induced by electron beam and calculating generation range, the diffusion depth can be obtained. It can be seen that values destructively measured by constant angle lapping and nondestructively by this study almost concur. As this result, it is purposed that diffusion depth of p-n junction can be easily measured by nondestruction. This nondestructive method can be recommended highly to the industrial analysis.

ON THE ALMOST SURE CONVERGENCE OF WEIGHTED SUMS OF NA RANDOM VARIABLES

  • Kim, T.S.;Ko, M.H.;Lee, Y.M.;Lin, Z.
    • Journal of the Korean Statistical Society
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    • v.33 no.1
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    • pp.99-106
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    • 2004
  • Let {X, $X_{n}, n\;{\geq}\;1$} be a sequence of identically distributed, negatively associated (NA) random variables and assume that $│X│^{r}$, r > 0, has a finite moment generating function. A strong law of large numbers is established for weighted sums of these variables.

Modeling of FBAR Devices with Bragg Reflectors

  • Lee, Jae-Young;Yoon, Gi-Wan;Linh, Mai
    • Journal of information and communication convergence engineering
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    • v.4 no.3
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    • pp.108-110
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    • 2006
  • Film bulk acoustic resonators for radio frequency wireless applications are presented. Various simulations and modeling were carried out. The impedance of a five-layered FBAR showed almost the same trend of the wideband characteristics as that of an ideal FBAR, but the characteristics of the higher modes appear to be much more suppressed. In addition, the wideband impedance decreased with increasing device size. The resonance characteristics depend strongly on the physical dimensions.

NUMERICAL METHOD FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION DIFFUSION EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

  • Raja, Velusamy;Tamilselvan, Ayyadurai
    • Communications of the Korean Mathematical Society
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    • v.34 no.3
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    • pp.1015-1027
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    • 2019
  • A class of systems of singularly perturbed convection diffusion type equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The suggested method is of almost first order convergence. An error estimate is derived in the discrete maximum norm. Numerical examples are presented to validate the theoretical estimates.

Failure Analysis of Filaments of Quadrupole Mass Spectrometer for Plasma Process Monitoring

  • Ha, Sung Yong;Kim, Dong Hoon;Joo, Junghoon
    • Applied Science and Convergence Technology
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    • v.24 no.5
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    • pp.142-150
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    • 2015
  • A failure analysis of tungsten filaments used in quadrupole mass spectrometer for plasma process monitoring was carried by using SEM and EDS. Failed at high temperature, filaments showed two kinds of failure modes. The one is that diameter of filament became thinner gradually and finally snapped. The other is that filament abruptly snapped almost at a right angle. The EDS analysis showed Fe and C, including W and Fe, on the surface of failed filament. when failed filaments were treated with plasma in mixture of Ar and $CF_4$, the amount of Fe and C decreased. The failure analysis of filament showed that the cause of filament failure is thermal evaporation and grain growth of tungsten at high temperature.

Self-Organizing Fuzzy Systems with Rule Pruning (규칙 제거 기능이 있는 자기구성 퍼지 시스템)

  • Lee, Chang-Wook;Lee, Pyeong-Gi
    • Journal of the Korean Society of Industry Convergence
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    • v.6 no.1
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    • pp.37-42
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    • 2003
  • In this paper a self-organizing fuzzy system with rule pruning is proposed. A conventional self-organizing fuzzy system having only rule generation has a drawback in generating many slightly different rules from the existing rules which results in increased computation time and slowly learning. The proposed self-organizing fuzzy system generates fuzzy rules based on input-output data and prunes redundant rules which are caused by parameter training. The proposed system has a simple structure but performs almost equivalent function to the conventional self-organizing fuzzy system. Also, this system has better learning speed than the conventional system. Simulation results on several numerical examples demonstrate the performance of the proposed system.

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Research on the Actual Condition of Risk of Remodeling Project (리모델링사업 리스크 실태조사 연구)

  • Lee, Teck-Wn
    • Journal of the Korean Society of Industry Convergence
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    • v.6 no.3
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    • pp.215-222
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    • 2003
  • When constructing buildings, planning, design, construction, using & maintenance as building life cycle. Due to industrialization in 1960s and development of new town from the late 1980s to the early 1990s, Korean housing supply rate reaches almost 100%. After construction companies confronted limit of new building construction, they recognized remodeling as a part of construction, and organized remodeling team or FM team to improve sustainable industrial area. However, since companies in Korea are lack of experience and research activities for remodeling, it makes obstacle to improvement of remodeling business. So the objective of this study is to help carry out remodeling business by suggesting the counterplan through investigation of a risk of apartment remodeling business.

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Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along Y Direction (Y방향을 따라 물성치구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장)

  • Lee, Kwang-Ho
    • Journal of the Korean Society of Industry Convergence
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    • v.9 no.1
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    • pp.37-44
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    • 2006
  • Stress and displacement fields of a Mode III crack propagating along the normal to gradient in an orthotropic functionally gradient materials (OFGM), which has (1) an exponential variation of shear modulus and density, and (2) linear variation of shear modulus with a constant density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields for a propagating crack at constant speed though an asymptotic analysis. The first three terms in expansion of stress and displacement are derived to explicitly bring out the influence of nonhomogeneity. When the FGM constant ${\zeta}$ is zero or $r{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

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