• Title/Summary/Keyword: Complex Functions

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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.

UPPER BOUND OF SECOND HANKEL DETERMINANT FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER

  • Mustafa, Nizami
    • Communications of the Korean Mathematical Society
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    • v.34 no.3
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    • pp.783-797
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    • 2019
  • In this paper, we introduce and investigate a subclass ${\Im}_{\Sigma}({\alpha},{\beta},{\gamma})$ of analytic and bi-univalent functions of complex order in the open unit disk U in complex plane. Here, we obtain an upper bound for the second Hankel determinant of the functions belonging to this class. Moreover, several interesting conclusions of the results obtained here are also discussed.

Organizational-Economic Mechanism of the Development of the Agro-Industrial Complex in Modern Conditions

  • Ivanko, Anatolii;Vasylenko, Nataliia;Bushovska, Lesia;Makedon, Halyna;Dvornyk, Inna
    • International Journal of Computer Science & Network Security
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    • v.22 no.2
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    • pp.107-114
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    • 2022
  • The main purpose of this study is to substantiate the theoretical and methodological foundations of the organizational and economic mechanism of development of the agro-industrial complex in modern conditions. Organizational and economic mechanism is presented as a complex organizational structure of the system type, which is aimed at performing specific functions, the characteristic feature of which is the constant support of process changes without which the organizational and economic mechanism can not exist. There are four components of the agro-industrial complex, represented by agriculture and the national economy, which ensure its operation, including industry, processing of agricultural products, its storage and transportation, sale and repair and maintenance of agricultural machinery and more. It is proved that the organizational and economic mechanism of development of agro-industrial complex in modern conditions it is expedient to consider: from the point of view of system and process approaches; as a set of economic levers and organizational measures to influence the agro-industrial complex; constituent components of organizational influence on the development of the complex; a set of components, elements that are integrated into the system of economic relations of the subjects of the agro-industrial complex; a set of purposeful stimulators of agro-industrial complex development. The functions of the organizational component of the mechanism of agro-industrial complex include: redistributive, planning, interaction, control, integration and regulatory functions, the functions of the economic component include consumer, investment and innovation, social, incentive, monitoring functions of the mechanism. The symbiosis of the functions of organizational and economic components ensure the effectiveness of the organizational and economic mechanism of the organizational and economic mechanism through its functionalities as a whole.

On Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure of Fuzzy Complex Valued Functions

  • Jang, Lee-Chae;Kim, Hyun-Mee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.3
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    • pp.224-229
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    • 2010
  • In this paper, using fuzzy complex valued functions and fuzzy complex valued fuzzy measures ([11]) and interval-valued Choquet integrals ([2-6]), we define Choquet integral with respect to a fuzzy complex valued fuzzy measure of a fuzzy complex valued function and investigate some basic properties of them.

INCLUSION AND NEIGHBORHOOD PROPERTIES OF CERTAIN SUBCLASSES OF p-VALENT ANALYTIC FUNCTIONS OF COMPLEX ORDER INVOLVING A LINEAR OPERATOR

  • Sahoo, Ashok Kumar;Patel, Jagannath
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.6
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    • pp.1625-1647
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    • 2014
  • By making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relationships associated with the (n, ${\delta}$)-neighborhoods of certain subclasses of p-valent analytic functions of complex order with missing coefficients, which are introduced here by means of the Saitoh operator. Special cases of some of the results obtained here are shown to yield known results.

SUFFICIENT CONDITIONS FOR UNIVALENCE OF A GENERAL INTEGRAL OPERATOR

  • Selvaraj, Chellian;Karthikeyan, Kadhavoor Ragavan
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.367-372
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    • 2009
  • In this paper, univalence of a certain integral operator and some interesting properties involving the integral operators on the classes of complex order are obtained. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out.

NORMALITY CRITERIA FOR A FAMILY OF HOLOMORPHIC FUNCTIONS CONCERNING THE TOTAL DERIVATIVE IN SEVERAL COMPLEX VARIABLES

  • Cao, Tingbin;Liu, Zhixue
    • Journal of the Korean Mathematical Society
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    • v.53 no.6
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    • pp.1391-1409
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    • 2016
  • In this paper, we investigate a family of holomorphic functions in several complex variables concerning the total derivative (or called radial derivative), and obtain some well-known normality criteria such as the Miranda's theorem, the Marty's theorem and results on the Hayman's conjectures in several complex variables. A high-dimension version of the famous Zalcman's lemma for normal families is also given.

SOME MAJORIZATION PROBLEMS ASSOCIATED WITH p-VALENTLY STARLIKE AND CONVEX FUNCTIONS OF COMPLEX ORDER

  • Altintas, Osman;Srivastava, H.M.
    • East Asian mathematical journal
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    • v.17 no.2
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    • pp.175-183
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    • 2001
  • The main object of this paper is to investigate several majorization problems involving two subclasses $S_{p,q}(\gamma)$ and $C_{p,q}(\gamma)$ of p-valently starlike and p-valently convex functions of complex order ${\gamma}{\neq}0$ in the open unit disk $\mathbb{u}$. Relevant connections of the results presented here with those given by earlier workers on the subject are also indicated.

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A Study on The Multi-Function of The Complex Cultural Center (공연문화공간의 복합기능 -예르바 부에나 센터와 토가무라 공연문화공간의 사례연구-)

  • 김선영
    • Korean Institute of Interior Design Journal
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    • no.25
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    • pp.84-93
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    • 2000
  • This study examines multiple functions of the complex cultural center. Recently, the importance of the complex cultural center has been growing, as peoples desire for cultural activities diversified. In order to effectively accommodate the general publics interests in various cultural activities, the complex cultural center tended to be multi-functional. At the same time, I argue that it is necessary to reexamine its functions in terms of how the multi-complex cultural center fits into local environment. Only when both peoples demand and local environment are fully integrated into its design, can the multi-complex cultural center accomplish the goal of multiple functions in a true sense.

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The Relationship of Spatial Characteristics and Social Functions of Elderly Center in Apartment Complex (아파트 단지 경로당의 공간 특성과 사회적 기능)

  • Yang, Sehwa;Ryu, Hyunjoo
    • Journal of the Korean housing association
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    • v.26 no.1
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    • pp.11-18
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    • 2015
  • The purpose of this research is to analyze the relationships between spatial characteristics and social functions of elderly center in apartment complex. The data for the analysis were collected from July 3 to 13, 2012 in Ulsan by interviewing 177 elderly persons from 56 elderly centers in apartment complex, and were analyzed with descriptive statistics, analysis of variance, and multiple regression analysis. The eleven questions for social functions of elderly center were developed by the researchers based on the related literatures and were categorized into four factors including kinship, social interaction, leisure activity, and community belonging. The social functions of elderly center were found to be evaluated moderately appropriate except for the community belonging. The results of the multiple regression analysis of total social functions of elderly center provide strong support for the model. Five variables (one-person household, health condition, location of the center, floor plan of the center, and user organization) are shown to be significantly related to total social functions of the elderly center.