• Title, Summary, Keyword: Determinant

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ON GRAMS DETERMINANT IN 2-INNER PRODUCT SPACES

  • Cho, Y.J.;Matic, M.;Pecaric, J.
    • Journal of the Korean Mathematical Society
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    • v.38 no.6
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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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UPPER BOUND ON THE THIRD HANKEL DETERMINANT FOR FUNCTIONS DEFINED BY RUSCHEWEYH DERIVATIVE OPERATOR

  • Yavuz, Tugba
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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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.

SHARPENED FORMS OF ANALYTIC FUNCTIONS CONCERNED WITH HANKEL DETERMINANT

  • Ornek, Bulent Nafi
    • Korean Journal of Mathematics
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    • v.27 no.4
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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.

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

  • Lee, Gwan-Gue;Yang, Byoung-E
    • Journal of Environmental Impact Assessment
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    • v.10 no.1
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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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    • v.13 no.7
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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.

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

  • Cho, sung-Hak
    • Journal of the Korean housing association
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    • v.28 no.2
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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.

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

  • Park, Jin-Woo
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.8
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    • pp.801-806
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    • 2016
  • The purpose of this study was to examine the relationship between the determinant factors of social TV resistance to innovation and intention to use focused on college students. The results were as follows. First, complexity, trialability and observability among the determinant factors of social TV usage influenced positively on resistance to innovation of social TV, and complexity influenced negatively on resistance to innovation of social TV. Second, only observability among the determinant factors of social TV usage influenced positively on intention to use. Third, resistance to innovation of social TV usage influenced negatively on intention to use.

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

  • Kim, Soung-Hun;Ryu, In-Hwan;Lee, Ki-Young;Lee, Jae-Woong
    • Korean Journal of Organic Agriculture
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    • v.24 no.2
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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.

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.