• Bulletin of the Korean Mathematical Society
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• v.52 no.2
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• pp.603-618
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• 2015

We derive three identities of symmetry in two variables and eight in three variables related to generalized twisted Bernoulli polynomials and generalized twisted power sums, both of which are twisted by unramified roots of unity. The case of ramified roots of unity was treated previously. The derivations of identities are based on the p-adic integral expression, with respect to a measure introduced by Koblitz, of the generating function for the generalized twisted Bernoulli polynomials and the quotient of p-adic integrals that can be expressed as the exponential generating function for the generalized twisted power sums.

• Communications of the Korean Mathematical Society
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• v.35 no.2
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• pp.533-546
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• 2020

Since Sheffer introduced the so-called Sheffer polynomials in 1939, the polynomials have been extensively investigated, applied and classified. In this paper, by using matrix algebra, specifically, some properties of Pascal and Wronskian matrices, we aim to present certain interesting identities involving the 2-variable truncated exponential based Sheffer polynomial sequences. Also, we use the main results to give some interesting identities involving so-called 2-variable truncated exponential based Miller-Lee type polynomials. Further, we remark that a number of different identities involving the above polynomial sequences can be derived by applying the method here to other combined generating functions.

• Journal of the Korean Mathematical Society
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• v.51 no.5
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• pp.987-1028
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• 2014

In a recent systematic study, C. Sandon and F. Zanello offered 30 conjectured identities for partitions. As a consequence of their study of partition identities arising from Ramanujan's formulas for multipliers in the theory of modular equations, the present authors in an earlier paper proved three of these conjectures. In this paper, we provide proofs for the remaining 27 conjectures of Sandon and Zanello. Most of our proofs depend upon known modular equations and formulas of Ramanujan for theta functions, while for the remainder of our proofs it was necessary to derive new modular equations and to employ the process of duplication to extend Ramanujan's catalogue of theta function formulas.

• Journal of Families and Better Life
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• v.19 no.2
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• pp.97-109
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• 2001

The purpose of this was to investigate the relationship institutionalized childrens ego-identities and internal locus of control to behavior problems. The subjects were 119 5th and 6th graders(58 boys, 61 girls) who were institutionalized in Seoul. The major findings of this study were as follows: 1) The institutionalized childrens internal locus of control and ego-identity were not significant difference in gender, reason for entering the institution and duration in he institution. The institutionalized childrens internal locus of control was significantly related to their ego-identity. The more internal locus of control, the higher ego-identity. 2) The institutionalized childrens behavior problems were not significant difference in gender and duration in the institution, but were significant difference reason for entering the institution. The children who were institutionalized by parents absence were more likely to have behavior problems than children by economic problem or marital conflict. The institutionalized childrens behavior problems were significantly related to their ego-identities and internal locus of control. The less internal locus of control, the more behavior problems, and the less ego-identities, the more behavior problems.

• Electronics and Telecommunications Trends
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• v.34 no.3
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• pp.114-124
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• 2019

The Internet was designed for machines, not humans, and hence, nobody owns a digital identity. Instead, a digital identity is rented from a website and an application. This lack of unique and secure digital identities has resulted in confusion in the online/cyber world. Digital identities pose one of the oldest and most difficult problems with regard to the Internet. There is still no way to use digital credentials to prove, own, and control an online identity, namely a self-sovereign identity, in the same manner we do in the offline world, particularly without a trusted third party. This article discusses the current open standards for digital identities, proposes solutions pertaining to digital identities in the future, and introduces the concept of a blockchain-based self-sovereign digital identity without the need of trusted third parties.

• Korean Journal of Mathematics
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• v.30 no.2
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• pp.283-296
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• 2022

In 1985, Khan gave some sufficient conditions on semigroup identities to be preserved under epis of semigroups in conjunction with the general semigroup permutation identity. But determination of all identities which are preserved under epis in conjunction with the general permutation identity is an open problem in the category of all semigroups and hence, in the category of all posemigroups. In this paper, we first find some sufficient conditions on an identity to be preserved under epis of posemigroups in conjunction with any nontrivial general permutation identity. We also find some sufficient conditions on posemigroup identities to be preserved under epis of posemigroups in conjunction with the posemigroup permutation identity, not a general permutation identity.

• Communications of the Korean Mathematical Society
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• v.12 no.2
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• pp.203-210
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• 1997

We give some interesting identities involving the Hurwitz and Riemann zeta functions.

• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.1185-1189
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• 2008

In this paper we show that the polynomial of degree 9 called generalized algebraicity is a polynomial identity for $3{\times}3$ matrices. ([5])

• The Pure and Applied Mathematics
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• v.3 no.1
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• pp.41-46
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• 1996

We obtain some interesting identities involving factorials by using the theory of Bessel functions.

• Journal of Korean Theatre Studies Association
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• no.49
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• pp.209-238
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• 2013

In recent years, a Zainichi playwright Jeong Ui Sin has been very active in the Korean theatre scene. However, the production of Yakiniku Dragon-first performed in Korea in 2008-which received numerous awards both in Japan and Korea gave him the recognition of Koreans' that was long overdue. In this paper, I will look closely into his two plays-Ineo Jeonseol (1990) and Yakiniku Dragon (2008)-which was written twenty-eight years apart from each other and reveal both similarities and differences between them in terms of the formation of post-colonial Zainichi identities. And to do so, I will utilize various opinions from post-colonial theories, performance studies theories, ethnic studies theories and theories on Zainichi Koreans. In the first, introductory chapter, I will delineate the theories on which this paper is based and some common factors of Jeong Ui Sin's 1990s plays as a point of departure. Then, I will move into the second chapter in which the two plays and actual productions of them will be closely examined to reveal different types of Zainichi identities and their social and cultural place within Japan by using Millie Creighton's concept of uchi others. In the third chapter, the identities of double negative (not not) and nomadic identities that are relevant to three types of Zainichi identity formation will be discussed. The fourth chapter will debate about various scholars' speculations about the future of Zainichi Koreans' identities and, finally, illuminate the changes/shifts that Jeong Ui Sin shows in terms of his stance as a Zainichi subject. In conclusion, even though it is very hard to speculate exactly what will happen to the Zainichi identity and their existence in Japan, the differences between the two plays-especially the endings-can be interpreted as revealing the changes in Jeong Ui Sin's Zainichi identity and it certainly sheds positive light on the future of the Zainichi identity and existence.