• 제목/요약/키워드: determinant

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A RELATIONSHIP BETWEEN CAYLEY-DICKSON PROCESS AND THE GENERALIZED STUDY DETERMINANT

  • Putri, Pritta Etriana;Wijaya, Laurence Petrus
    • 대한수학회논문집
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    • 제36권3호
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    • pp.413-422
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    • 2021
  • The Study determinant is known as one of replacements for the determinant of matrices with entries in a noncommutative ring. In this paper, we give a generalization of the Study determinant and show its relationship with the Cayley-Dickson process. We also give some properties of a non-associative ring obtained by the Cayley-Dickson process with a not necessarily commutative, but associative ring as the initial ring.

ON GRAMS DETERMINANT IN 2-INNER PRODUCT SPACES

  • Cho, Y.J.;Matic, M.;Pecaric, J.
    • 대한수학회지
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    • 제38권6호
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    • pp.1125-1156
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    • 2001
  • An analogue of Grams inequality for 2-inner product spaces is given. Further, a number of inequalities involving Grams determinant are stated and proved in terms of 2-inner products.

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SHARPENED FORMS OF ANALYTIC FUNCTIONS CONCERNED WITH HANKEL DETERMINANT

  • Ornek, Bulent Nafi
    • Korean Journal of Mathematics
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    • 제27권4호
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    • pp.1027-1041
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    • 2019
  • In this paper, we present a Schwarz lemma at the boundary for analytic functions at the unit disc, which generalizes classical Schwarz lemma for bounded analytic functions. For new inequalities, the results of Jack's lemma and Hankel determinant were used. We will get a sharp upper bound for Hankel determinant H2(1). Also, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained.

UPPER BOUND ON THE THIRD HANKEL DETERMINANT FOR FUNCTIONS DEFINED BY RUSCHEWEYH DERIVATIVE OPERATOR

  • Yavuz, Tugba
    • 대한수학회논문집
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    • 제33권2호
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    • pp.437-444
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    • 2018
  • Let S denote the class of analytic and univalent functions in the open unit disk $D=\{z:{\mid}z{\mid}<1\}$ with the normalization conditions f(0) = 0 and f'(0) = 1. In the present article, an upper bound for third order Hankel determinant $H_3(1)$ is obtained for a certain subclass of univalent functions generated by Ruscheweyh derivative operator.

SOME PROPERTIES OF A CERTAIN PATTERNED MATRIX

  • Park, Jong-Tae
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.485-493
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    • 2004
  • This paper presents the interesting properties of a certain patterned matrix that plays an significant role in the statistical analysis. The necessary and sufficient condition on the existence of the inverse of the patterned matrix and its determinant are derived. In special cases of the patterned matrix, explicit formulas for its inverse, determinant and the characteristic equation are obtained.

환경평가를 위한 지표의 가중치 산정방법 결정 모형 (A Determinant Model for Methods to Calculate the Weighted Value of Each Indicator for Environmental Evaluation)

  • 이관규;양병이
    • 환경영향평가
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    • 제10권1호
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    • pp.59-71
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    • 2001
  • This study aims to propose a determinant model to select a method on calculating weight of each indicator for environmental evaluation. According to analyzing and comparing with three types of methods for calculating weights which are usually used to evaluate environment with indicators, the weights which were obtained by each type were all different from each other. This means that a differential weighting method must be applied to each of environmental evaluation studies. Therefore, a determinant model is required to determine weight-calculating methods. Three types of weighting methods, such as weighting by importance degree, weighting by eigen-value and weighting by analytic hierarchy process, were compared. Under the necessity, a determinant model was drawn for selecting a compatible method to calculate weights of indicators in environmental evaluation.

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LSB Image Steganography Based on Blocks Matrix Determinant Method

  • Shehzad, Danish;Dag, Tamer
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권7호
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    • pp.3778-3793
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    • 2019
  • Image steganography is one of the key types of steganography where a message to be sent is hidden inside the cover image. The most commonly used techniques for image steganography rely on LSB steganography. In this paper, a novel image steganography technique based on blocks matrix determinant method is proposed. Under this method, a cover image is divided into blocks of size $2{\times}2$ pixels and the determinant of each block is calculated. The comparison of the determinant values and corresponding data bits yields a delicate way for the embedment of data bits. The main aim of the proposed technique is to ensure concealment of secret data inside an image without affecting the cover image quality. When the proposed steganography method is compared with other existing LSB steganography methods, it is observed that it not only provides higher PSNR, lower MSE but also guarantees better quality of the stego image.

주거단지계획 기본구상 결정요인에 관한 연구 - 물리적 계획요소를 중심으로 - (The Determinant Factors of Basic Concept in the Residential Site Planning - Focus on Physical Planning Elements -)

  • 조성학
    • 한국주거학회논문집
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    • 제28권2호
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    • pp.67-74
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    • 2017
  • The purpose of this study is to present basic data of basic concept that planners should consider in planning process. For this purpose, we have proposed the determinant factors of basic concept. In particular, this study focuses on the physical planning elements among the various planning elements that determine the basic concept. The research method is the case study and analysis for the competitions of LH for the past four years. After dividing the residential environment area, the planning elements was derived and the planning direction is arranged for the case district. The determinants factor were determined by the structure of each area. Three area, including the degree of urban context, were found to be the main determinants of the basic idea. The results of the study are as follows. (1) The degree of reflection of urban context, the degree of effort to resolve environmental influences are determinant factors of basic concept. (2) The degree of connection between urban and site area, the degree of overlapping of the boundaries, and street are determinant factors of basic concept. (3) The degree of appropriateness of the residential layout, the degree of rationality of the moving plan, the adequacy of the community space plan are determinant factors of basic concept.

소셜TV 혁신저항 결정요인과 이용의도의 관계 (Relationship between the determinant factors of social TV resistance to innovation and intention to use)

  • 박진우
    • 한국전자통신학회논문지
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    • 제11권8호
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    • pp.801-806
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    • 2016
  • 본 연구는 대학생들을 대상으로 소셜TV 혁신저항 결정요인과 이용의도의 관계를 살펴보았다. 주요 결과를 제시하면 다음과 같다. 첫째, 소셜TV 이용에 대한 적합성과 시험가능성, 관찰가능성은 혁신저항에 통계적으로 유의한 부적 영향을 미치는 것으로 나타난 반면에 복잡성은 혁신저항에 통계적으로 유의한 정적 영향을 미치는 것으로 나타났다. 둘째, 소셜TV 이용에 대한 적합성, 복잡성, 시험가능성, 관찰가능성 중 관찰가능성만이 이용의도에 통계적으로 유의한 정적 영향을 미치는 것으로 나타났다. 셋째, 소셜TV에 대한 혁신저항은 이용의도에 통계적으로 유의한 부적 영향을 미치는 것으로 나타났다.

친환경 채소의 소비자 선택 속성에 관한 연구: 당근과 참외를 대상으로 (Study about the Determinant Factors of Consumers about Environment-friendly vegetables : Focusing on Carrot and Oriental Melon)

  • 김성훈;류인환;이기영;이재웅
    • 한국유기농업학회지
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    • 제24권2호
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    • pp.149-168
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    • 2016
  • Even though Korean consumers have shown the strong preference for environment-friendly agricultural products, the real market of environment-friendly agricultural products may reach a plateau. In order to overcome this problem, researchers should find the more specific consumers' needs, including taste, flavor, shape, and others. and offer some implications to farmers and marketers. The object of this paper is to analyze the determinant factors of Korean consumers about environment-friendly carrot and oriental melon, through survey and fuzzy multi-criteria decision making approach. The results of analyses present that Korean consumers have the unique determinant factors about environment-friendly carrot and oriental melon, which are different from conventional carrot and oriental melon. Korean consumers' experience of the buying of environment-friendly vegetable is also influential in the determinant factors. Findings and implications from this research may be useful to Korean producers and other researchers.