• 제목/요약/키워드: properties generalization

검색결과 252건 처리시간 0.028초

GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Lee, Dong-Myung;Rathie, Arjun K.;Parmar, Rakesh K.;Kim, Yong-Sup
    • 호남수학학술지
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    • 제33권2호
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    • pp.187-206
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    • 2011
  • The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas transform formulas, recurrence relations, summation formula for these new generalization.

귀납적 일반화를 이용한 형태지식의 습득과 디자인에 관한 연구 (A Study on the Learning Shape Knowledge and Design with Inductive Generalization)

  • 차명열
    • 한국실내디자인학회논문집
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    • 제19권6호
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    • pp.20-29
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    • 2010
  • Art historians and critics have defined the style as common features appeared in a class of objects. Abstract common features from a set of objects have been used as a bench mark for date and location of original works. Commonalities in shapes are identified by relationships as well as physical properties from shape descriptions. This paper will focus on how the computer and human can recognize common shape properties from a class of shape objects to learn design knowledge. Shape representation using schema theory has been explored and possible inductive generalization from shape descriptions has been investigated. Also learned shape knowledge can be used. for new design process as design concept. Several design process such as parametric design, replacement design, analogy design etc. are used for these design processes. Works of Mario Botta and Louis Kahn are analyzed for explicitly clarifying the process from conceptual ideas to final designs. In this paper, theories of computer science, artificial intelligence, cognitive science and linguistics are employed as important bases.

NEW GENERALIZATION OF THE WRIGHT SERIES IN TWO VARIABLES AND ITS PROPERTIES

  • Belafhal, Abdelmajid;Chib, Salma;Usman, Talha
    • 대한수학회논문집
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    • 제37권1호
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    • pp.177-193
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    • 2022
  • The main aim of this paper is to introduce a new generalization of the Wright series in two variables, which is expressed in terms of Hermite polynomials. The properties of the freshly defined function involving its auxiliary functions and the integral representations are established. Furthermore, a Gauss-Hermite quadrature and Gaussian quadrature formulas have been established to evaluate some integral representations of our main results and compare them with our theoretical evaluations using graphical simulations.

A GENERALIZATION OF INSERTION-OF-FACTORS-PROPERTY

  • Hwang, Seo-Un;Jeon, Young-Cheol;Park, Kwang-Sug
    • 대한수학회보
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    • 제44권1호
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    • pp.87-94
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    • 2007
  • We in this note introduce the concept of g-IFP rings which is a generalization of IFP rings. We show that from any IFP ring there can be constructed a right g-IFP ring but not IFP. We also study the basic properties of right g-IFP rings, constructing suitable examples to the situations raised naturally in the process.

ON WEAK ARMENDARIZ IDEALS

  • Hashemi, Ebrahim
    • 대한수학회논문집
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    • 제23권3호
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    • pp.333-342
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    • 2008
  • We introduce weak Armendariz ideals which are a generalization of ideals have the weakly insertion of factors property (or simply weakly IFP) and investigate their properties. Moreover, we prove that, if I is a weak Armendariz ideal of R, then I[x] is a weak Armendariz ideal of R[x]. As a consequence, we show that, R is weak Armendariz if and only if R[x] is a weak Armendariz ring. Also we obtain a generalization of [8] and [9].

SOME APPLICATIONS FOR GENERALIZED FRACTIONAL OPERATORS IN ANALYTIC FUNCTIONS SPACES

  • Kilicman, Adem;Abdulnaby, Zainab E.
    • Korean Journal of Mathematics
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    • 제27권3호
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    • pp.581-594
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    • 2019
  • In this study a new generalization for operators of two parameters type of fractional in the unit disk is proposed. The fractional operators in this generalization are in the Srivastava-Owa sense. Concerning with the related applications, the generalized Gauss hypergeometric function is introduced. Further, some boundedness properties on Bloch space are also discussed.

코로나-19로 인한 스트레스 지각과 범주 응집성이 범주기반 귀납적 일반화에 미치는 효과 (The effects of stress perception due to COVID-19 and category coherence on category-based inductive generalization)

  • 이국희;도은영
    • 인지과학
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    • 제33권3호
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    • pp.135-154
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    • 2022
  • 본 연구는 코로나-19로 인한 스트레스를 높게 지각할 때, 스트레스를 낮게 지각할 때에 비하여 응집성이 낮은 사회적 범주에 대한 속성 일반화가 강해진다는 것을 확인하기 위해 이루어졌다. 이를 위해 본 연구는 응집성이 높은 범주(수녀, 군인, 비행기승무원)와 낮은 범주(웨딩플래너, 통역사, 플로리스트)를 선정하였고, 336명의 참가자를 모집하여 범주기반 속성 일반화 과제(범주 구성원 몇몇에게 반복 관찰되는 속성이 범주 구성원 전체에서 얼마나 나타날지 추론)를 수행하게 하였으며, 이들이 지각한 코로나-19 스트레스 정도를 측정하였다. 결과적으로, 사회적 범주의 응집성이 높을 때, 낮을 때에 비하여 속성 일반화가 강해지는 효과와 코로나-19로 인한 스트레스를 높게 지각하는 사람들에게서 낮게 지각하는 사람들보다 속성 일반화가 강해지는 효과를 관찰하였다. 더하여 본 연구는 코로나-19 스트레스를 높게 지각하는 사람들은 스트레스를 낮게 지각하는 사람들에 비해, 응집성이 낮은 범주에서도 반복 관찰되는 속성을 강하게 일반화하는 경향이 있음을 확인하였다. 본 연구는 코로나-19 발생 이후 고정관념과 편견이 심화되고, 차별적 행동이 증가하는 현상의 근본에 코로나-19 스트레스와 이로 인한 속성 일반화 경향 증가라는 인지적 기제가 존재함을 보여 준다는 측면에서 중요하다.

Efficient m-step Generalization of Iterative Methods

  • 김선경
    • 한국산업정보학회논문지
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    • 제11권5호
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    • pp.163-169
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    • 2006
  • In order to use parallel computers in specific applications, algorithms need to be developed and mapped onto parallel computer architectures. Main memory access for shared memory system or global communication in message passing system deteriorate the computation speed. In this paper, it is found that the m-step generalization of the block Lanczos method enhances parallel properties by forming in simultaneous search direction vector blocks. QR factorization, which lowers the speed on parallel computers, is not necessary in the m-step block Lanczos method. The m-step method has the minimized synchronization points, which resulted in the minimized global communications and main memory access compared to the standard methods.

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