• Title/Summary/Keyword: convergence properties

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CONVERGENCE THEOREMS FOR SET-VALUED DENJOY-PETTIS INTEGRABLE MAPPINGS

  • Park, Chun-Kee
    • Communications of the Korean Mathematical Society
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    • v.24 no.2
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    • pp.227-237
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    • 2009
  • In this paper, we introduce the Denjoy-Pettis integral of set-valued mappings and investigate some properties of the set-valued Denjoy-Pettis integral. Finally we obtain the Dominated Convergence Theorem and Monotone Convergence Theorem for set-valued Denjoy-Pettis integrable mappings.

CONVERGENCE PROPERTIES OF A CORRELATIVE POLAK-RIBIERE CONJUGATE GRADIENT METHOD

  • Hu Guofang;Qu Biao
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.461-466
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    • 2006
  • In this paper, an algorithm with a new Armijo-type line search is proposed that ensure global convergence of a correlative Polak-Ribiere conjugate method for the unconstrained minimization of non-convex differentiable function.

Convergence Properties of a Adaptive Learning Algorithm Employing a Ramp Threshold Function (Ramp 임계 함수를 적용한 적응 학습 알고리즘의 수렴성)

  • 박소희;조제황
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2000.08a
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    • pp.121-124
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    • 2000
  • 적응 학습 알고리즘으로 가중치를 변화시키는 단층 신경망의 출력부에 Ramp 임계 함수를 적용하여 입력이 zero-mean Gaussian random vector인 경우 가중치의 stationary point를 구하고, 적응 학습 알고리즘을 유도한다.

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Structural and Electrical Properties of Zn-Mn-O System Ceramics for the Application of Temperature Sensors (온도센서로의 응용을 위한 Zn-Mn-O계 세라믹의 구조적, 전기적 특성)

  • Kim, Kyeong-Min;Lee, Sung-Gap;Lee, Dong-Jin;Park, Mi-Ri;Kwon, Min-Soo
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.29 no.8
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    • pp.470-475
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    • 2016
  • In this study, $Zn_xMn_{3-x}O_4$ (x=0.95~1.20) specimens were prepared by using a conventional mixed oxide method. All specimens were sintered in air at $1,200^{\circ}C$ for 12 h and cooled at a rate of $2^{\circ}C/min$ to $800^{\circ}C$, subsequently quenching to room temperature. We investigated the structural and electrical properties of $Zn_xMn_{3-x}O_4$ specimens with variation of ZnO amount for the application of NTC thermistors. As results of X-ray diffraction patterns, all specimens showed the formation of a complete solid solution with tetragonal spinel phase. And, the second phase was observed by the solubility limit of Zn ions in $x{\geq}1.10$ composition. The average grain size was increased from $2.72{\mu}m$ to $4.18{\mu}m$ with increasing the compositional ratio of Zn ion from x=0.95 to 1.20, respectively. $Zn_{1.10}Mn_{1.90}O_4$ specimen showed the minimum electrical resistance of $57.5k{\Omega}$ at room temperature and activation energy of 0.392 eV.

The Effects of Advertisement Properties In Cosmetics Convergence Advertisement Using PPL On Brand Attitude and Purchasing Intention (PPL을 활용한 화장품 융합광고의 광고속성이 브랜드태도 및 구매의도에 미치는 영향)

  • Kim, Hye-jeong;Kang, Eun-Ju
    • Journal of Convergence for Information Technology
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    • v.8 no.4
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    • pp.87-97
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    • 2018
  • This study aimed to identify the effects of advertisement properties in PPL-used cosmetic convergence advertisements on brand attitude and purchasing intention and provide basic data that can be used for PPL marketing in cosmetics industry. For the purpose, this study interviewed female college students using a questionnaire and analysed 494 copies of the responses except 6 ones whose responses were insincere using SPSS v. 21.0. As a result, it was discovered that informativeness and entertainment as sub-factors of advertisement properties had statistically significant positive (+)effects on brand attitude while discomfort had statistically significant negative(-) effect on it. Also, informativeness and entertainment had statistically significant positive (+)effects on purchasing intention. Therefore, as PPL that breaks the contents and flow of dramas or movies decreases advertisement effects and purchasing intention, PPL advertisements should naturally present information on cosmetic products in dramas or movies.

Geometric Analysis of Convergence of FXLMS Algorithm (FXLMS 알고리즘 수렴성의 기하학적 해석)

  • Kang Min Sig
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.1
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    • pp.40-47
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    • 2005
  • This paper concerns on Filtered-x least mean square (FXLMS) algorithm for adaptive estimation of feedforward control parameters. The conditions for convergence in ensemble mean of the FXLMS algorithm are derived and the directional convergence properties are discussed from a new geometric vector analysis. The convergence and its directionality are verified along with some computer simulations.

STATISTICAL CONVERGENCE FOR GENERAL BETA OPERATORS

  • Deo, Naokant;Ozarslan, Mehmet Ali;Bhardwaj, Neha
    • Korean Journal of Mathematics
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    • v.22 no.4
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    • pp.671-681
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    • 2014
  • In this paper, we consider general Beta operators, which is a general sequence of integral type operators including Beta function. We study the King type Beta operators which preserves the third test function $x^2$. We obtain some approximation properties, which include rate of convergence and statistical convergence. Finally, we show how to reach best estimation by these operators.