• Title/Summary/Keyword: Uniqueness Theory

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SOME RESULTS RELATED TO DIFFERENTIAL-DIFFERENCE COUNTERPART OF THE BRÜCK CONJECTURE

  • Md. Adud;Bikash Chakraborty
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.117-125
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    • 2024
  • In this paper, our focus is on exploring value sharing problems related to a transcendental entire function f and its associated differential-difference polynomials. We aim to establish some results which are related to differential-difference counterpart of the Brück conjecture.

A Study on Cross-border Online Shoppers for Fashion Products by Benefit Sought

  • An, Sangheuk;Jung, Jihoon;Lee, Hyun-Hwa
    • International Journal of Costume and Fashion
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    • v.16 no.2
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    • pp.25-50
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    • 2016
  • The purpose of the study was to identify dimensions of benefit sought where consumer cross-border online shoppers seek and to examine the effects of the dimensions on expectancy, perceived performance, disconformity and satisfaction with cross-border online shopping. A total of 258 data were gathered and analyzed using SPSS 22.0. The results of the study identified that six dimensions of benefit sought of cross-border online shopping, which were economic-efficiency, convenience, uniqueness, scarcity, superiority and conformity seeking. There were significant effects of economic-efficiency, scarcity and uniqueness seeking on the expectancy, perceived performance, and satisfaction. In addition, consumers were segmented as four clusters classified using benefit sought of cross-border online shopping. The four clusters were labeled as "high interest type", "disinterested type", "unique scarcity type", and "price-first unfussy type". The significant differences were found among the clusters in the research constructs of expectancy and disconfirmation theory. The findings of the study suggested practical and managerial implications.

The Eum-Yang Body-Function Perspective(陰陽體用觀) in the Saenggitongcheonron Chapter of the "Hwangjenaegyeong"(${\ll}$黃帝內經素問.生氣通天論${\gg}$) (${\ll}$ 제내경소문(黃帝內經素問).생기통천론(黃帝內經素問)${\gg}$의 음양체용관(陰陽體用觀)에 대한 시론(試論))

  • Jang, Woo-Chang
    • Journal of Korean Medical classics
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    • v.23 no.6
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    • pp.73-85
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    • 2010
  • The chapter holds great importance in understanding the fundamental aspect of disease occurrence, for it contains key concepts of disease of Naegyeong medicine. For this reason, prominent doctors from Jang Gyeong-ak(張景岳) of Ming to Lee Gyujun (李奎晙) of late Josun have based their Yang Gi-centered medical theories on this chapter. However, doctors such as Ju Jinhyeong(朱震亨) who have stressed the importance of Eum, also used the contents of this chapter to support their perspective on disease, which means that the main voice of this chapter is still unclear. Based on the previous chapter, it is valid to say that uses the Eum-Yang Body-Function Perspective(陰陽體用觀) to establish the fundamentals of life and parallels the uniqueness of each kind of Gi, Eum and Yang, in leading Gi activity in mankind. This philosophy based on the uniqueness of the activity of Eum/Yang Gi expands its target from human to disease in general, becoming actualized as a theory of external/internal body-function perspective. Cultivation methods based on this uniqueness is also being suggested.

Theoretical formulations of current and unique Rayleigh waves with impedance boundary condition embedding normal stress

  • Nguyen, Xuan Quynh;Lee, Dongkyu
    • Smart Structures and Systems
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    • v.29 no.2
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    • pp.279-286
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    • 2022
  • In this article, a novel propagation formulation of Rayleigh waves in a compressible isotropic half-space with impedance boundary condition is proposed by embedding the normal stress. In a two-dimensional case, it is assumed that a design boundary is free of normal traction and a shear traction depends on linearly a normal component of displacements multiplied by frequencies. Therefore, impedance boundary conditions affect the normal stress, where the impedance parameters correspond to dimensions of stresses over velocity. On the other hand, vanished impedance values are traction-free boundary conditions. The main purpose of this article is to present theoretically the existence and uniqueness of a Rayleigh wave formulation relying on secular equation's mathematical analyses. Its velocity varies along with the impedance parameters. Moreover, numerical experiments with different values for the velocity of Rayleigh waves are carried out. The present Rayleigh waves study is a fundamental step in analyzing the cause and effect of physical states such as building or structure damages resulting from natural dynamics. The results of the study generate a basic design formulation theory to test the effects of Rayleigh waves affecting structures when an earthquake occurs. The presence and uniqueness of the proposed formulation is verified by mutual comparisons of several numerical examples.

When Do Consumers Follow Majority Choice? - Different Effect of Purchase versus Usage Situation - (어떤 상황에서 소비자는 다수의 선택을 따를까? - 구매상황과 사용상황이 미치는 상이한 영향을 중심으로 -)

  • Kim, Moon Seop;Oh, Hyunmin;Kim, Jae Il
    • Asia Marketing Journal
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    • v.12 no.1
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    • pp.31-50
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    • 2010
  • People have competing desires. Hence, people not only chase others' choices due to the need for assimilation but also avoid others' choices due to the need for differentiation. This study attempts to uncover under which conditions consumers assimilate with or differentiate from others' choices. Specifically, the study extends previous research about the effect of others' choices by focusing on the effect of a choice situation (purchase vs. usage) based on the conformity theory and the uniqueness theory. It was found that purchase (vs. usage) situation makes people more conform to others in case of identity-irrelevant product (e.g., USB memory stick). Also, the effect of the choice situation was moderated by the perceived identity-relevance level in case of identity-relevant product (e.g., jeans).

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NONLOCAL BOUNDARY VALUE PROBLEMS FOR HILFER FRACTIONAL DIFFERENTIAL EQUATIONS

  • Asawasamrit, Suphawat;Kijjathanakorn, Atthapol;Ntouyas, Sotiris K.;Tariboon, Jessada
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.6
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    • pp.1639-1657
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    • 2018
  • In this paper, we initiate the study of boundary value problems involving Hilfer fractional derivatives. Several new existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating our results are also presented.

A TRACE-TYPE FUNCTIONAL METHOD FOR DETERMINATION OF A COEFFICIENT IN AN INVERSE HEAT CONDUCTION PROBLEM

  • WEN, JIN;CHENG, JUN-FENG
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.439-447
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    • 2017
  • This paper investigates the inverse problem of determining an unknown heat radiative coefficient, which is only time-dependent. This is an ill-posed problem, that is, small errors in data may cause huge deviations in determining solution. In this paper, the existence and uniqueness of the problem is established by the second Volterra integral equation theory, and the method of trace-type functional formulation combined with finite difference scheme is studied. One typical numerical example using the proposed method is illustrated and discussed.

EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF RAYLEIGH EQUATION WITH A DEVIATING ARGUMENT

  • Zhou, Qiyuan;Xiao, Bing;Yu, Yuehua;Liu, Bingwen;Huang, Lihong
    • Journal of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.673-682
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    • 2007
  • In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Rayleigh equation with a deviating argument of the form $x'+f(x'(t))+g(t,\;x(t-\tau(t)))=p(t)$.

A Study on the Risk Management in International Transaction of Digital Goods (디지털물(物) 국제법래(國際去來)의 리스크관리방안(管理方案)에 관한 연구(硏究))

  • Ahn, Byung-Soo
    • THE INTERNATIONAL COMMERCE & LAW REVIEW
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    • v.29
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    • pp.143-172
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    • 2006
  • This study focuses on the risk management of "Digital Goods" appeared with the progress of information technology(IT) in international transaction. As a result of that digital goods have a lot of uncertainty between the general goods or service which have been deal with object of international transaction broadly because digital goods hold uniqueness. In this study, the author give a definition of "Digital Goods" and make an examination of uniqueness of that in international transaction. Next, six risks are defined base on risk theory and risk analysis matrix applying risk mapping model is made. Conclusionally, risk transfer as insurance is adequate to manage business risk, security risk, credit risk and legal risk. Meanwhile, risk avoidance is adequate to manage reputation risk and market risk. But, this study have following three limits. Firstly, concerning definition of the risk, real case is not applied owing to lack of transaction data. Secondly, measuring of the risk is not based on absolute data but relative data. Lastly, suggesting way of risk management is not concrete and practical to international trader of digital goods.

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ON THE STUDY OF SOLUTION UNIQUENESS TO THE TASK OF DETERMINING UNKNOWN PARAMETERS OF MATHEMATICAL MODELS

  • Avdeenko, T.V.;Je, Hai-Gon
    • East Asian mathematical journal
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    • v.16 no.2
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    • pp.251-266
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    • 2000
  • The problem of solution uniqueness to the task of determining unknown parameters of mathematical models from input-output observations is studied. This problem is known as structural identifiability problem. We offer a new approach for testing structural identifiability of linear state space models. The approach compares favorably with numerous methods proposed by other authors for two main reasons. First, it is formulated in obvious mathematical form. Secondly, the method does not involve unfeasible symbolic computations and thus allows to test identifiability of large-scale models. In case of non-identifiability, when there is a set of solutions to the task, we offer a method of computing functions of the unknown parameters which can be determined uniquely from input-output observations and later used as new parameters of the model. Such functions are called parametric functions capable of estimation. To develop the method of computation of these functions we use Lie group transformation theory. Illustrative example is given to demonstrate applicability of presented methods.

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