• Title/Summary/Keyword: the duality

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ADMISSIBLE INERTIAL MANIFOLDS FOR INFINITE DELAY EVOLUTION EQUATIONS

  • Minh, Le Anh
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.669-688
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    • 2021
  • The aim of this paper is to prove the existence of an admissible inertial manifold for mild solutions to infinite delay evolution equation of the form $$\{{\frac{du}{dt}}+Au=F(t,\;u_t),\;t{\geq}s,\\\;u_s({\theta})={\phi}({\theta}),\;{\forall}{\theta}{\in}(-{{\infty}},\;0],\;s{\in}{\mathbb{R}},$$ where A is positive definite and self-adjoint with a discrete spectrum, the Lipschitz coefficient of the nonlinear part F may depend on time and belongs to some admissible function space defined on the whole line. The proof is based on the Lyapunov-Perron equation in combination with admissibility and duality estimates.

Design of H_$\infty$ state estimator using interpolation method (보간법을 이용한 H_$\infty$상태 추정기 설계)

  • 이금원
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1469-1472
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    • 1997
  • For system state estimation, existing LMS type esimators widely used. For example Kalman filter is one of them. In this paper, a state estimator is derived for the H$_{\infty}$ norm of the estimation error spectrum matrix to be minimized. For the solution of this problem classical NP interpolation problem is used. Also, by deriving the duality between the filter problem and the well-known H$_{\infty}$ control problem, another solution is obtained. The computer simuation results show that H$_{\infty}$ estimator has less estimation error and so this is better than the existing Kalman filter estimator.or.

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STRONG CONVERGENCE THEOREMS BY VISCOSITY APPROXIMATION METHODS FOR ACCRETIVE MAPPINGS AND NONEXPANSIVE MAPPINGS

  • Chang, Shih-Sen;Lee, H.W. Joseph;Chan, Chi Kin
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.59-68
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    • 2009
  • In this paper we present an iterative scheme for finding a common element of the set of zero points of accretive mappings and the set of fixed points of nonexpansive mappings in Banach spaces. By using viscosity approximation methods and under suitable conditions, some strong convergence theorems for approximating to this common elements are proved. The results presented in the paper improve and extend the corresponding results of Kim and Xu [Nonlinear Anal. TMA 61 (2005), 51-60], Xu [J. Math. Anal. Appl., 314 (2006), 631-643] and some others.

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AN ARTINIAN RING HAVING THE STRONG LEFSCHETZ PROPERTY AND REPRESENTATION THEORY

  • Shin, Yong-Su
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.401-415
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    • 2020
  • It is well-known that if char𝕜 = 0, then an Artinian monomial complete intersection quotient 𝕜[x1, …, xn]/(x1a1, …, xnan) has the strong Lefschetz property in the narrow sense, and it is decomposed by the direct sum of irreducible 𝖘𝖑2-modules. For an Artinian ring A = 𝕜[x1, x2, x3]/(x16, x26, x36), by the Schur-Weyl duality theorem, there exist 56 trivial representations, 70 standard representations, and 20 sign representations inside A. In this paper we find an explicit basis for A, which is compatible with the S3-module structure.

Efficient Equivalent Fault Collapsing Algorithm for Transistor Short Fault Testing in CMOS VLSI (CMOS VLSI에서 트랜지스터 합선 고장을 위한 효율적인 등가 고장 중첩 알고리즘)

  • 배성환
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.40 no.12
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    • pp.63-71
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    • 2003
  • IDDQ testing is indispensable in improving Duality and reliability of CMOS VLSI circuits. But the major problem of IDDQ testing is slow testing speed due to time-consuming IDDQ current measurement. So one requirement is to reduce the number of target faults or to make the test sets compact in fault model. In this paper, we consider equivalent fault collapsing for transistor short faults, a fault model often used in IDDQ testing and propose an efficient algorithm for reducing the number of faults that need to be considered by equivalent fault collapsing. Experimental results for ISCAS benchmark circuits show the effectiveness of the proposed method.

Word Sense Distinction of Middle Verbs for Korean Verb Wordnet (한국어 동사의 어휘의미망 구축을 위한 중립동사의 의미분할)

  • Lee, Eunr-Young;Yoon, Ae-Sun
    • Language and Information
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    • v.9 no.2
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    • pp.23-48
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    • 2005
  • This study aims to discuss the word sense distinction of Korean middle verbs for restructuring KorLexVerb 1.0. Despite the duality of its meaning and syntactic structure, the word senses of middle verb are not clearly distinguished in current dictionaries. The underspecification causes very often mismatches that a same Korean word sense is used for two different English verb senses. A close examination on the syntactic and semantic properties of middle verb shows us that the word sense distinction and the reconstruction of hierarchical structure are indispensable. Finally, by doing this fine grained word sense distinction, we propose an alternative way of classification and description of the verb polysemy for KorLexVerb 1.0 as well as for dictionary-like language resources.

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A Basic Study on Evaluation Method and Performance of Membrane Waterproofing Layer (멤브레인 방수층 성능 및 평가방법에 관한 기초적 연구)

  • 오미현;권시원;강효진;정희원;최인성;오상근
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2003.05a
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    • pp.17-21
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    • 2003
  • This study is mainly acceptive for physical material performance than waterproofing layer performance on the external condition after construction. The reason are legalized only for material performance duality standard even though it is existed waterproofing materials for membrane. In actuality, waterproofing layer are greatly occurred in performance a decreased developing essential element that are human footprints as a result physical perimeter environment after construction and on the construction. As the result, this present paper purpose for evaluation and performance of the membrane waterproofing layer on the construction.

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Comparison of Temperature History of Concrete with the Combination of the Various Surface Curing Sheets at Hot Weather Condition (표면 양생시트 조합에 의한 서중콘크리트 표면온도 이력 비교)

  • Lee, Ju-Suck;Kim, Jong-Back;Kim, Jong;Han, Min-Cheol;Han, Cheon-Goo
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2006.11a
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    • pp.87-90
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    • 2006
  • This study investigates the temperature history of slab mock-up specimens for hot weather concreting applying various surface insulating methods, in order to improve concrete quality at hot weather condition. Test showed that the use of insulating blanket or a bubble sheet on upper section of slab prevented from abrupt increase of temperature and vaporization of moisture during early curing at hot weather circumstance. In addition, it secured higher strength at early age. Therefore it is concluded that concrete construction insulating with the bubble sheet will reduce the plastic and drying shrinkage as well as improve strength at early age, thus securing concrete duality.

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Analysis of Previous Make-up Study (화장에 관한 기존연구 유형의 분석)

  • 백경진;김미영
    • The Research Journal of the Costume Culture
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    • v.12 no.1
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    • pp.182-198
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    • 2004
  • The purpose of this study was to analyze the previous make-up studies. A number of publications and journals were reviewed and analyzed carefully. The results of review and analysis were as follows: There were many different subjects in make-up studies and They can be divided into ten types : cosmetics purchase behavior, change of make-up culture and comparison, make-up trend by era, cosmetics industry's standing of today and strategy, art trend in make-up, brand preference of cosmetics, make up attitude, recognition about imported cosmetics and purchase behavior, color preference of cosmetics, the relationship between self-concept and make-up. In general, the cosmetic purchase behavior studies are conducted most actively. According to result that analyze existent study, special duality of cosmetics purchase action appears very variously according to standard of classification of study target and study target. But, study target and method of study are not various, and purchase behavior study collected with make-un and clothes is yew lacking. Therefore, in this study, wished to discover problem of virtue study because analyzes studies about previous make-up and present forward study direction.

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Evaluating the Causal Relationships among Organizational Support, Organizational Commitment, Job Satisfaction, and Service Quality in the Hotel F & B Department (호텔 식음료부서에서 조직지원, 조직몰입, 직무만족과 서비스품질의 인과관계 평가)

  • 강종헌
    • Korean journal of food and cookery science
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    • v.19 no.2
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    • pp.155-164
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    • 2003
  • The purpose of this study was to examine, in a service context, construct validity and generalizability of widely used and accepted measures of perceived organizational support, job satisfaction, organizational commitment, and service duality, and to test each measures' predictive utility in this context with path analysis. Of 350 subjects, 309 subjects participated in the analysis. Descriptive statistics (frequencies), exploratory factor analysis, reliability analysis, zero-order partial correlation analysis, and confirmatory factor analysis were used for this study. The findings from this study are as follows. First, perceived organizational support significantly influenced job satisfaction, organizational commitment. and service quality. Second, Job satisfaction had a directional impact upon organizational commitment and service quality. Third, organizational commitment showed to have a predictive impart on service quality. Finally, the results of the study provide some insight into the types of internal marketing strategies that can be applied successfully by operators of hotel F & B departments.