• Title/Summary/Keyword: duality

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ITERATION PROCESSES WITH ERRORS FOR NONLINEAR EQUATIONS INVOLVING $\alpha$-STRONGLY ACCRETIVE OPERATORS IN BANACH SPACES

  • Jung, Jong-Soo
    • East Asian mathematical journal
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    • v.17 no.2
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    • pp.349-365
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    • 2001
  • Let X be a real Banach space and $A:X{\rightarrow}2^X$ be an $\alpha$-strongly accretive operator. It is proved that if the duality mapping J of X satisfies Condition (I) with additional conditions, then the Ishikawa and Mann iteration processes with errors converge strongly to the unique solution of operator equation $z{\in}Ax$. In addition, the convergence of the Ishikawa and Mann iteration processes with errors for $\alpha$-strongly pseudo-contractive operators is given.

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GENERALIZED LOCAL COHOMOLOGY AND MATLIS DUALITY

  • Abbasi, Ahmad
    • Honam Mathematical Journal
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    • v.30 no.3
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    • pp.513-519
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    • 2008
  • Let (R, m) be a Noetherian local ring with maximal ideal m, E := $E_R$(R/m) and let I be an ideal of R. Let M and N be finitely generated R-modules. It is shown that $H^n_I(M,(H^n_I(N)^{\vee})){\cong}(M{\otimes}_RN)^{\vee}$ where grade(I, N) = n = $cd_i$(I, N). We also show that for n = grade(I, R), one has $End_R(H^n_I(P,R)^{\vee}){\cong}Ext^n_R(H^n_I(P,R),P^*)^{\vee}$.

Duality of Light (빛의 이중성)

  • 김기식
    • Korean Journal of Optics and Photonics
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    • v.4 no.1
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    • pp.120-131
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    • 1993
  • The wave-particle duality of light is studied in connection with the development of thoghts in physics. The various ideas from Einstein to quantum optics are traced and the experimental evidences for each idea are enumerated. Moreover, the delicate features in quantum mechanics are pointed out and the conceptual bases of those features are stated.

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MODIFIED LAGRANGE FUNCTIONAL FOR SOLVING ELASTIC PROBLEM WITH A CRACK IN CONTINUUM MECHANICS

  • Namm, Robert V.;Tsoy, Georgiy I.;Woo, Gyungsoo
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1353-1364
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    • 2019
  • Modified Lagrange functional for solving an elastic problem with a crack is considered. Two formulations of a crack problem are investigated. The first formulation concerns a problem where a crack extending to the outer boundary of the domain. In the second formulation, we consider a problem with an internal crack. Duality ratio is established for initial and dual problem in both cases.

D2D Tx-Rx Pair Assignment: Duality Perspective (쌍대적 관점에서 D2D 송수신 단말쌍 할당)

  • Oh, Changyoon
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2019.01a
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    • pp.87-88
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    • 2019
  • 본 논문에서는 D2D 송수신 단말쌍을 결정하는 방법을 쌍대적 관점에서 살펴보기로 한다. 주어진 D2D 송신단말 그룹과 수신단말 그룹에서 에너지 최적화를 위한 D2D 송수신 단말쌍 할당은 송신단말 그룹이 수신단말 그룹이 되고, 수신단말 그룹이 송신단말 그룹이 되는 환경에서도 동일한 송수신 단말쌍이 할당되는 쌍대적 특성이 있음을 증명하도록 한다.

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An Dynamic Analysis of Quality Control in Korean Manufacturing Industry (한국제조기업 품질관리활동의 동적 분석)

  • 이순룡;이광재
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.10 no.16
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    • pp.183-195
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    • 1987
  • The effectiveness of quality control is contingent to adaptability to the present circumstance. The objectives of this study are to provide empirical data to carry out qualify control effectively. To accomplish this purpose, an empirical study was made by questionaire (mailing survey method, Feb. to Mar. in 1987). The sample is the 167 companies in Korean manufacturing industry. The main findings out of the analysis are as follows the stage of quality control is concentrated in appraisal phase, the company standard is equiped gradually in non-KS marked company and the need of economic evaluation about quality control is increased gradually. With a view to analysing of relationship between quality control and it's effect factors (company standard, KS mark, computer based information system), the methods of $\chi$$^2$ test are used. The company standard have a significant difference in top manager's altitude to duality control, operation stage of quality control. operation scope of qualify control and quality budgeting system but is insignificant with economic evaluation about duality control. Otherwise, KS mark is insignificant with the equality control activity except for operation scope. The quality information system based in computer have a significant difference in operation stage, operation scope and economic evaluation. Therefor, for the purpose of attaining effectiveness of quality control through the economic evaluation about quality control, the company standard and computer based duality information system must be utilized in quality control activity.

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Multibeam Satellite Frequency/Time Duality Study and Capacity Optimization

  • Lei, Jiang;Vazquez-Castro, Maria Angeles
    • Journal of Communications and Networks
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    • v.13 no.5
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    • pp.472-480
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    • 2011
  • In this paper, we investigate two new candidate transmission schemes, non-orthogonal frequency reuse (NOFR) and beam-hopping (BH). They operate in different domains (frequency and time/space, respectively), and we want to know which domain shows overall best performance. We propose a novel formulation of the signal-to-interference plus noise ratio (SINR) which allows us to prove the frequency/time duality of these schemes. Further, we propose two novel capacity optimization approaches assuming per-beam SINR constraints in order to use the satellite resources (e.g., power and bandwidth) more efficiently. Moreover, we develop a general methodology to include technological constraints due to realistic implementations, and obtain the main factors that prevent the two technologies dual of each other in practice, and formulate the technological gap between them. The Shannon capacity (upper bound) and current state-of-the-art coding and modulations are analyzed in order to quantify the gap and to evaluate the performance of the two candidate schemes. Simulation results show significant improvements in terms of power gain, spectral efficiency and traffic matching ratio when comparing with conventional systems, which are designed based on uniform bandwidth and power allocation. The results also show that BH system turns out to show a less complex design and performs better than NOFR system specially for non-real time services.

The Effects of Board Characteristics on Financial Reporting Timeliness: Empirical Evidence from Vietnam

  • NGUYEN, Anh Thi Mai;LE, Dai Son;TRAN, Canh Huu
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.11
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    • pp.235-242
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    • 2021
  • The paper aims to examine the relationship between the Board of Directors' characteristics and the timeliness of financial statements of listed firms in Vietnam. Accordingly, research data was collected from the FiinPro Platform database system, which included financial statements of 548 organizations listed on the Hochiminh Stock Exchange and the Hanoi Stock Exchange from 2013 to 2018. The paper employs the OLS regression method with a strong standard error method and FGLS to handle the problem of variable variance and autocorrelation. The research results show that the following three factors have significant impacts on the timeliness of financial statements: the duality of Chairman, the age of Chairman, and the change of members of the Board of Directors. The findings suggest that the duality of the Chairman of the Board of Directors will lead to a decrease in control effectiveness, adversely affecting the timeliness of the financial statements. In addition, the change of members in the Board of Directors will lead to a positive change in the timely provision of information. The age of the Chairman of the Board of Directors also positively impacts the timeliness of financial statements.

The Effect of Board of Directors and CEO on Audit Quality: Evidence from Listed Manufacturing Firms in Jordan

  • ALAWAQLEH, Qasim Ahmad;ALMASRIA, Nashat Ali;ALSAWALHAH, Jafer Maroof
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.2
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    • pp.243-253
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    • 2021
  • This study aims to examine (1) the association between the chief executive officer tenure and audit quality, (2) the relationship between chief executive officer duality and audit quality, (3) the association between board independence and audit quality, (4) the relationship between board size and audit quality, and (5) the role of controlling variables (client size, leverage debt, and business complexity) in controlling these relationships. The research sample includes 325 financial reports from manufacturing firms listed in Amman Stock exchange over the 2014-2018 period. The study relationships are tested by using logistic regression. The results revealed a negative relationship, but not significant between CEO tenure and independent directors with audit quality. In addition, the results showed there is a negative effect of CEO duality on audit quality; also the results revealed that there is a statistically significant effect on the board of directors (board size) on the AQ. In general, the coefficient estimates of controlling variables show that client size and leverage debt positively affect audit quality, and on the contrary, business complexity has an insignificant positive relationship with audit quality. The summary of the study findings play an active role to external auditor opinion on business practice in towered the corporate governance system.