• Title/Summary/Keyword: functions

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BETWEEN PAIRWISE -α- PERFECT FUNCTIONS AND PAIRWISE -T- α- PERFECT FUNCTIONS

  • ALI A. ATOOM;FERAS BANI-AHMAD
    • Journal of applied mathematics & informatics
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    • v.42 no.1
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    • pp.15-29
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    • 2024
  • Many academics employ various structures to expand topological space, including the idea of topology, as a result of the importance of topological space in analysis and some applications. One of the most notable of the generalizations was the definition of perfect functions in bitopological spaces, which was presented by Ali.A.Atoom and H.Z.Hdeib. We propose the notion of α- pairwise perfect functions in bitopological spaces and define different types of this concept in this study. Pairwise -T - α- perfect functions, pairwise -α-irr-perfect functions, and pairwise -T - α- irr-perfect functions, are all characterized in addition to pairwise -α-perfect functions. We go through their primary characteristics and show how they interact. Finally, under these functions, we introduce the images and inverse images of certain bitopological features. About these concepts, some product theorems have been discovered.

New estimation methodology of six complex aerodynamic admittance functions

  • Han, Y.;Chen, Z.Q.;Hua, X.G.
    • Wind and Structures
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    • v.13 no.3
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    • pp.293-307
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    • 2010
  • This paper describes a new method for the estimation of six complex aerodynamic admittance functions. The aerodynamic admittance functions relate buffeting forces to the incoming wind turbulent components, of which the estimation accuracy affects the prediction accuracy of the buffeting response of long-span bridges. There should be two aerodynamic admittance functions corresponding to the longitudinal and vertical turbulent components, respectively, for each gust buffeting force. Therefore, there are six aerodynamic admittance functions in all for the three buffeting forces. Sears function is a complex theoretical expression for the aerodynamic admittance function for a thin airfoil. Similarly, the aerodynamic admittance functions for a bridge deck should also be complex functions. This paper presents a separated frequency-by-frequency method for estimating the six complex aerodynamic admittance functions. A new experimental methodology using an active turbulence generator is developed to measure simultaneously all the six complex aerodynamic admittance functions. Wind tunnel tests of a thin plate model and a streamlined bridge section model are conducted in turbulent flow. The six complex aerodynamic admittance functions, determined by the developed methodology are compared with the Sears functions and Davenport's formula.

The Differential Impacts of 'Communication'and 'Computing' Functions in Smartphones on Individuals' Performance and the Moderating Role of Organizational Roles

  • Kyung Young Lee;Minwoo Lee;Kimin Kim
    • Asia pacific journal of information systems
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    • v.27 no.4
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    • pp.191-215
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    • 2017
  • This study investigated the antecedents and the performance impact of two types of Smartphone functions (communication vs. computing functions) in organizational environment and the moderating impact of Smartphone users' organizational roles. More specifically, identifying two distinct types of Smartphone functions such as communication functions and computing functions (including informational, social network, and resource management functions), we investigated the impact of three antecedents (Smartphone dependency, task mobility, and perceived critical mass) on the use of the two Smartphone functions and how organizational workers' perceived performance gains differ by using these two different Smartphone functions for their workplace activities. We tested our hypotheses with survey data collected from 176 organizational workers. Our findings suggest that Smartphone dependency, task mobility and perceived critical mass of Smartphone use are significantly associated with the use of the two different functions, and that the use of computing functions is more strongly associated with perceived performance gain than the use of communication functions. We also found that managerial roles played by individual workers differently moderate the impact of Smartphone use on perceived performance gain. The present findings enable researchers and practitioners to better understand the impact of Smartphone use in workplaces.

Analysis of the Curative Meaning of Alcohol in 《Hwangjenaegyeong(黃帝內經)》 and 《Gyeongakjeonseo(景岳全書)》 (《황제내경(黃帝內經)》과 《경악전서(景岳全書)》에서 보이는 주(酒)의 양생적 의미에 대한 분석)

  • Jung, Dae Sung;Lee, Jae Heung;Bae, Jae Ryong
    • Journal of Korean Medical Ki-Gong Academy
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    • v.20 no.1
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    • pp.148-162
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    • 2020
  • Objective : The purpose of this study is not only to examine the negative functions of alcohol, but also to examine the positive functions and look at it with a balanced perspective. Methods : We investigated the number of times the word "酒"(alcohol) appears in 《Hwangjenaegyeong》 and 《Gyeongakjeonseo》. The meaning of alcohol was divided into seven categories. The number of positive and negative functions of alcohol was counted and the ratio was calculated. Results : 1. In the 《Hwangjenaegyeong》, the word alcohol appears 23 times, of which 9 times has positive functions, 10 times has negative functions, and the remaining 4 times does not correspond anywhere. The ratio of positive functions is 39.13% and negative functions 43.48%. 2. In the 《Gyeongakjeonseo》, the word alcohol appears 1,487 times, of which 1,140 times (76.66%) has positive functions, and 327 times (21.99%) has negative functions. Conclusions : 1. In 《Hwangjenaegyeong》, the number of comments about positive and negative functions of alcohol is similar. 2. 《Gyeongakjeonseo》 has commented a lot about the positive functions of alcohol. However, it has more mentions to negative functions of alcohol except for those related to herbs and prescriptions (48 to 64 chapter). 3. It is somewhat unreasonable to judge the emphasis on the positive and negative function of alcohol according to the number of references to alcohol in oriental medicine classics. But in these books, we can find a balanced approach between the two sides, not a one-sided biased view. 4. From a curative point of view, it is desirable to know and to use the positive and negative functions of alcohol, and drink alcohol as appropriate control.

A Development of Inequality Constrained Algorithm and Applying to Power System Analysis (부등호 제약조건 처리 알고리즘 개발 및 전력계통 해석 적용)

  • Yang, Minuk;Kim, Kern-Joong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.10
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    • pp.1349-1353
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    • 2013
  • The optimal analysis has objective functions, equality constraint functions and inequality functions. Objective functions may be used with inequality function, because occasionally variables are moved to non-analytic condition with calculating objective functions. But inequality constraint functions are very complicated problem in a optimal analysis. this paper suggest a method to solve inequality constraint functions.

STARLIKENESS AND SCHWARZIAN DERIVATIVES OF HIGHER ORDER OF ANALYTIC FUNCTIONS

  • Kwon, Ohsang;Sim, Youngjae
    • Communications of the Korean Mathematical Society
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    • v.32 no.1
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    • pp.93-106
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    • 2017
  • In this paper we apply the third-order differential subordination results to normalized analytic functions in the open unit disk. We obtain appropriate classes of admissible functions and find some sufficient conditions of functions to be starlike associated with Tamanoi's Schwarzian derivative of third order. Several interesting examples are also discussed.

GENERATING FUNCTIONS FOR THE EXTENDED WRIGHT TYPE HYPERGEOMETRIC FUNCTION

  • Jana, Ranjan Kumar;Maheshwari, Bhumika;Shukla, Ajay Kumar
    • Communications of the Korean Mathematical Society
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    • v.32 no.1
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    • pp.75-84
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    • 2017
  • In recent years, several interesting families of generating functions for various classes of hypergeometric functions were investigated systematically. In the present paper, we introduce a new family of extended Wright type hypergeometric function and obtain several classes of generating relations for this extended Wright type hypergeometric function.

COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF MEROMORPHIC AND BI-UNIVALENT FUNCTIONS

  • Panigrahi, Trailokya
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.1531-1538
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    • 2013
  • In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions $w=f(z)$ defined on $\tilde{\Delta}:=\{z{\in}\mathbb{C}:1<{\mid}z{\mid}<{\infty}\}$ whose inverse $f^{-1}(w)$ is also univalent meromorphic in $\tilde{\Delta}$. Estimates for the initial coefficients are obtained for the functions in these new subclasses.

THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA

  • Orhan, Halit;Zaprawa, Pawel
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.1
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    • pp.165-173
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    • 2018
  • In this paper we obtain the bounds of the third Hankel determinants for the classes $\mathcal{S}^*({\alpha})$ of starlike functions of order ${\alpha}$ and $\mathcal{K}({\alpha}$) of convex functions of order ${\alpha}$. Moreover,we derive the sharp bounds for functions in these classes which are additionally 2-fold or 3-fold symmetric.