• 제목/요약/키워드: Connection Relations

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Certain Models of the Lie Algebra 𝒦5 and Their Connection with Special Functions

  • Yadav, Sarasvati;Rani, Geeta
    • Kyungpook Mathematical Journal
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    • 제58권4호
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    • pp.615-625
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    • 2018
  • In this paper, we discuss the connection between the 5-dimensional complex Lie algebra ${\mathcal{K}} _5$ and Special functions. We construct certain two variable models of the irreducible representations of ${\mathcal{K}}_5$. We also use an Euler type integral transformation to obtain the new transformed models, in which the basis function appears as $_2F_1$. Further, we utilize these models to get some generating functions and recurrence relations.

THE INDUCED AND INTRINSIC CONNECTIONS OF BERWALD TYPE IN A FINSLERIAN HYPERSURFACE

  • Ha Yong Park;Hong Suh Park
    • 대한수학회논문집
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    • 제12권2호
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    • pp.383-391
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    • 1997
  • The main purpose of the present paper is to derive the induced (Finsler) connections on the hypersurface from the Finsler connections of Berwald type (a Berwald h-recurrent connection and a $F\Gamma$' connection) of a Finsler space and to seek the necessary and sufficient conditions that the induced connections coincide with the intrinsic connections. And we show the quantities and relations with respect to the respective induced connections. Finally we show some examples.

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가구형태와 사회적 관계의 객관적·주관적 측면이 우울에 미치는 영향 : 1인 가구와 다인 가구의 비교를 중심으로 (The impact of household types and social relationships on depression : based on the comparison between single-person households and multi-person households)

  • 최유정;이명진;최샛별
    • 한국가족관계학회지
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    • 제21권2호
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    • pp.25-51
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    • 2016
  • Objectives: This research started with the attempt to comprehend the relationship between household types and psychological stability by linking single-person households to the emotional index "depression." Method: For this purpose, we first compare to see if there is a difference in socio-demographic variables, social relationships, the degree of depression between single households and multi-person households, and to comprehend the relative influence that household types have on depression by taking other factors under consideration. Results: Then based on the results, we compare and analyze the factors that affect the degree of depression on single-person households and multi-person households, respectively. To summarize the results, first of all, residents in single-person households are somewhat older but show lower level of income, education, and health condition compared to peers inmulti-person households. They also had a consistently high level not only in the frequency of contact and emotional connection with families, relatives, and friends, but also in the degree of depression when compared to multi-person households. Secondly, for depression, considering the various factors targeting all the households, the following had a strong influence in the order of "health condition compared to peers," "emotional connection with family," "household types," "emotional connection with colleagues," "frequency of contact with neighbors," "gender," and "age."The degree of depression increases in the following conditions: if the health condition is worse, lower emotional connection with family, single-person household, lower emotional connection with colleagues, lower the frequency of contact with neighbors, female, and older the age. Thirdly, comparing the factors that affect depression by dividing single-person households and multi-person households, "health condition compared to peers" and "emotional connection with family" had the largest effect in common, respectively. In cases of living alone, regardless of other factors, the degree of depression increases with "health condition compared to peers" and "emotional connection with family." Conclusions: On the contrary, in multi-person households, "health condition compared to peers," "emotional connection with family," "emotional connection with colleagues," "income," and "gender" are important.

Estimation of semi-rigid joints by cross modal strain energy method

  • Wang, Shuqing;Zhang, Min;Liu, Fushun
    • Structural Engineering and Mechanics
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    • 제47권6호
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    • pp.757-771
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    • 2013
  • We present a semi-rigid connection estimation method by using cross modal strain energy method. While rigid or pinned assumptions are adopted for steel frames in traditional modeling via finite element method, the actual behavior of the connections is usually neither. Semi-rigid joints enable connections to be modeled as partially restrained, which improves the quality of the model. To identify the connection stiffness and update the FE model, a newly-developed cross modal strain energy (CMSE) method is extended to incorporate the connection stiffness estimation. Meanwhile, the relations between the correction coefficients for the CMSE method are derived, which enables less modal information to be used in the estimation procedure. To illustrate the capability of the proposed parameter estimation algorithm, a four-story frame structure is demonstrated in the numerical studies. Several cases, including Semi-rigid joint(s) on single connection and on multi-connections, without and with measurement noise, are investigated. Numerical results indicate that an excellent updating is achievable and the connection stiffness can be estimated by CMSE method.

SOME PROPERTIES OF EXTENDED τ-HYPERGEOMETRIC FUNCTION

  • Jana, Ranjan Kumar;Maheshwari, Bhumika;Shukla, Ajay Kumar
    • 대한수학회논문집
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    • 제33권4호
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    • pp.1159-1170
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    • 2018
  • Recently, Parmar [5] introduced a new extension of the ${\tau}$-Gauss hypergeometric function $_2R^{\tau}_1(z)$. The main object of this paper is to study this extended ${\tau}$-Gauss hypergeometric function and obtain its properties including connection with modified Bessel function of third kind and extended generalized hypergeometric function, several contiguous relations, differential relations, integral transforms and elementary integrals. Various special cases of our results are also discussed.

A NOTE ON MODULUS METHOD AND CAPACITY

  • CHUNG Bo-HYUN
    • Journal of applied mathematics & informatics
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    • 제20권1_2호
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    • pp.647-655
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    • 2006
  • We consider the applications of modulus to the boundary behavior of meromorphic functions in connection with the singularities. The proofs are based on the method of modulus. The relations between the moduli and the logarithmic capacities shall be introduced and we have shown that the conformal capacity is related to the modulus.

욕망화된 사물읽기: Thing Theory와 선정소설 (Reading Projected Objects: Thing Theory and Sensation Novels)

  • 김희선
    • 영미문화
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    • 제18권2호
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    • pp.51-78
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    • 2018
  • To put it simply, thing theory is a study of meaningful capacities of materiality. Although T. S. Eliot regarded pathetic fallacy as the bad example of objective correlatives in his modernism poetry theory, it is clear that many objects in literary works reflect diverse human desires. Among many, Victorian sensation novels are the most distinct genre where the various paraphernalia in them indicate the distorted and exaggerated greed of the industrial revolution era. Whereas the male protagonists are usually related with the norms objects of authority such as portrait and locket, the female characters' connection with cosmetics and white dress shows their oppressed and fragile position in the patriarchal and hierarchical society. In the (post)modern society, the ambiguity of things has grown rapidly due to the increasing discrepancy between objects and things. In special, the new journalism and the psychological realism novels often reveal the post-truth phenomenon because consumerized audience depend more upon the attraction and affect than the mere evidence and facts. For the individual, according to object relations theory, these alternative facts are rather internalized into their mind as the internal object when they are motivated by the non/contact with primary caregivers in their childhood. The dominant material imagery in (post)modern fiction becomes the site of resistance because of their reconstructed and extended meaning. The object relations theory and thing theory can be effectively used to uncover the complicated meanings of desired objects by using the human-object's meaningful relations and early mental images that are secretly alive still in the present.

인접 단어들의 접속정보를 이용한 일한 기계번역 시스템 (Japanese-Korean Machine Translation System Using Connection Forms of Neighboring Words)

  • 김정인
    • 한국멀티미디어학회논문지
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    • 제7권7호
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    • pp.998-1008
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    • 2004
  • 일본어와 한국어는 문법적으로 많은 유사점을 가지고 있다. 이러한 유사점을 잘 이용한다면 일한 기계번역 시스템에서 구문해석이나 의미해석의 상당한 부분을 생략할 수 있다. 몇 년 전부터 우리는 유사성을 이용하여 번역율을 높이는 방법으로 번역테이블을 이용한 일한기계번역 시스템을 연구해 왔다. 그러나 이 시스템은 활용어미의 번역, 다의성 단어의 처리 등 몇 가지 문제점을 가지고 있었다. 본 논문에서는 번역테이블을 이용하는 시스템을 개선하여 이웃 하는 단어들과의 관계 정보를 이용한 일한 기계번역 시스템을 제안한다. 현재 시스템의 문제점들을 해결하기 위하여 우선 조사, 조동사의 접속 정보를 최대한 이용한다. 또한, 번역 테이블을 엔트리테이블과 접속정보 테이블로 나누어 설계하여 번역의 효율을 높인다. 즉, 하나의 역어만 가지는 단어인 경우, 우리는 일한 직접 대응 방법을 이용하여 바로 번역하고 2개 이상의 역어로 번역되어야 할 경우만 접속 정보 값을 평가하여 가장 가능성이 높은 번역어를 선택하도록 한다.

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INCLUSION RELATIONS AND RADIUS PROBLEMS FOR A SUBCLASS OF STARLIKE FUNCTIONS

  • Gupta, Prachi;Nagpal, Sumit;Ravichandran, Vaithiyanathan
    • 대한수학회지
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    • 제58권5호
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    • pp.1147-1180
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    • 2021
  • By considering the polynomial function 𝜙car(z) = 1 + z + z2/2, we define the class 𝓢*car consisting of normalized analytic functions f such that zf'/f is subordinate to 𝜙car in the unit disk. The inclusion relations and various radii constants associated with the class 𝓢*car and its connection with several well-known subclasses of starlike functions is established. As an application, the obtained results are applied to derive the properties of the partial sums and convolution.

SOME EQUATIONS ON THE SUBMANIFOLDS OF A MANIFOLD GSXn

  • So, Keumsook
    • Korean Journal of Mathematics
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    • 제6권2호
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    • pp.281-289
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    • 1998
  • On a generalized Riemannian manifold $X_n$, we may impose a particular geometric structure by the basic tensor field $g_{\lambda\mu}$ by means of a particular connection ${\Gamma}{_\lambda}{^\nu}_{\mu}$. For example, Einstein's manifold $X_n$ is based on the Einstein's connection defined by the Einstein's equations. Many recurrent connections have been studied by many geometers, such as Datta and Singel, M. Matsumoto, and E.M. Patterson. The purpose of the present paper is to study some relations between a generalized semisymmetric $g$-recurrent manifold $GSX_n$ and its submanifold. All considerations in this present paper deal with the general case $n{\geq}2$ and all possible classes.

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