• Journal of applied mathematics & informatics
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• v.41 no.3
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• pp.591-601
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• 2023

In this note, we give a proof of the p-adic analogue of mild generalization of classical zeta functions by modifying Osipov's method. In addition, we obtain some identities for the p-adic integration, from which, some classical formulas for Euler numbers and polynomials have been deduced.

• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.461-473
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• 2022

In this paper, we study differential equations arising from the generating functions of the geometric polynomials. We give explicit identities for the geometric polynomials. Finally, we investigate the zeros of the geometric polynomials by using computer.

• The Mathematical Education
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• v.44 no.4 s.111
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• pp.603-625
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• 2005

Identity is the concept which approaches individuals' affective problems with the social and cultural view. The previous studies on the problems, studied the attitudes, beliefs, or emotions while they restricted the problems to teachers or students' private problems. Otherwise, identities focus on individuals which participate to any community and share its social practices(Mclead, 1994). This study purposed to get an understanding on the teaching and learning mathematics in elementary mathematics classroom with an ethnographic view, while we consider mathematics as a kind of social practices, and mathematics classrooms as communities of practice. We analysed teacher's identities on mathematics and teaching mathematics depending on her responses of the questions as following: How does she think about mathematics, what are the instructional goals in her mathematics classroom, how do students learn mathematics in her mathematics classroom. In addition, we analysed students' identities on mathematics and learning mathematics depending on their responses of the questions as following: What do students think of mathematics, do they like mathematics, why do they study mathematics, how do they feel their mathematics classroom(describe your classroom) and themselves in it(describe yourselves in your classroom), what are their duties and what do they do actually in their mathematics classroom.

• Journal for History of Mathematics
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• v.28 no.6
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• pp.301-310
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• 2015

Since Jiuzhang Suanshu, the main tools in the theory of right triangles, known as Gougushu in East Asia were algebraic identities about three sides of a right triangle derived from the Pythagorean theorem. Using tianyuanshu up to siyuanshu, Song-Yuan mathematicians could skip over those identities in the theory. Chinese Mathematics in the 17-18th centuries were mainly concerned with the identities along with the western geometrical proofs. Jeong Yag-yong (1762-1836), a well known Joseon scholar and writer of the school of Silhak, noticed that those identities can be derived through algebra and then wrote Gugo Wonlyu (勾股源流) in the early 19th century. We show that Jeong reveals the algebraic structure of polynomials with the three indeterminates in the book along with their order structure. Although the title refers to right triangles, it is the first pure algebra book in Joseon mathematics, if not in East Asia.

• Asia-Pacific Journal of Business
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• v.14 no.1
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• pp.171-194
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• 2023

Purpose - This study starts with the question of whether the capital market is likely to give positive valuations to companies that pursue diversity in their management and corporate governance structure. In this study, minority gender identity is considered as a diversity issue in management that has a socially negative perception. Design/methodology/approach - This study analyzed the relationship between corporate value in the capital market and the policies of companies that advocated minority gender identities, based on listed U.S. company data. Findings - This study finds that companies that support minority gender identities had a lower Tobin's q value than companies that did not. However, in the case of authenticity in terms of corporate governance diversity, the study finds that companies that advocate minority gender identities rather receive high firm valuation. In particular, companies with a high percentage of female directors show high corporate value even when implementing policies that support minority gender identities. Research implications or Originality - This study explores the capital market's response to diversity using past data in the U.S., but provides more practical implications for how companies should respond to a situation where an advocacy policy, based on more social recognition, for LGBT groups is established in Korea.

• The Plant Pathology Journal
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• v.16 no.4
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• pp.231-235
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• 2000

The 3,000 nucleotides of 3'-terminal region of the genomic RNA of a new isolate of carlavirus from a Korean native lily (Lilum lancitoium) was cloned and its nucleotide sequences were determined. The coat protein (CP) gene of the virus showed 72.0% to 72.8% nucleotide sequence identities and 86.9% to 88.0% amino acid sequence identities with those of the four strains (two Korean, one Dutch, and one Japanese isolates) of lily symptomless virus (LSV). Interestingly, different amino acid sequences between the new isolate and LSV strains were located at the N-terminal region of the CP. Pairwise amino acid sequence comparison of the CP gene revealed sequence identities of 22.0% to 71.1% between the virus and other 9 carlavirus species. The 25 kDa and 12 kDa proteins genes of the virus share 30.7% to 76.3% and 31.1% to 85.8% amino acid sequence identities, respectively, with those of 8 other carlaviruses. The 16 kDa protein gene of the virus shares 16.7% to 72.9% amino acid sequence identities with that of 9 other carlaviruses. These data indicate that the virus, designated as lily latent virus (LiLV), is a distinct of the Carlavirus genus and distinguished from the known strains of LSV.

• KIPS Transactions on Computer and Communication Systems
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• v.5 no.10
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• pp.361-372
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• 2016

Identity Privacy issues such as exposures of IMSIs(International Mobile Subscriber Identities) in access network have been consistently raised throughout GSM, UMTS, LTE in 3GPP. The 3GPP specification uses temporary identities instead of IMSI to ensure anonymity of the user. Even if temporary identities are disclosed, Identity Privacy may be maintained at a safe level by security policies such as no linkability and periodic update. But in case of IMSI, it cannot be changed even though it is exposed. There still exist some situations that IMSI is used in clear text for the authentication. Therefore, a protective mechanism for the identity confidentiality is needed. In this paper we propose a protocol based on IBE(Identity-based Encryption) to protect permanent identities in access network. By simplifying the scheme, this protocol has minimized the system impact on current 3GPP environment. And this scheme can be applied to all kind of permanent identities and 3GPP AKA(Authentication and Key Agreement) protocols in access network.

• Communications of the Korean Mathematical Society
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• v.17 no.1
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• pp.165-173
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• 2002

We first review Ramaswami's find Apostol's identities involving the Zeta function in a rather detailed manner. We then present corrected, or generalized formulas, or a different method of proof for some of them. We also give closed-form evaluation of some series involving the Riemann Zeta function by an integral representation of ζ(s) and Apostol's identities given here.

• Asian Journal for Public Opinion Research
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• v.3 no.4
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• pp.176-197
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• 2016

Despite being a key concept of International Relations theory, there is no consensus about what the national interest is. It is almost impossible for political leaders of democratic states to make a crucial decision in foreign policies when considering only the national interest without public support. Rather, we are unable to imagine the national interest without public opinion. In general, international crises galvanize people who held different opinions and unify social cleavages, such as secular-religious identities, into a nation that acts in its national interest. The author proposes a method to operationalize the key concept and describes a relationship between the national interest and religious identities in a democratic state. The selected case is the state of Israel. It is believed that Israel is a good example to think about the association between foreign affairs and political attitudes since it is characterized as a socio-religious divided society and has often waged war against Arab military forces.

• Bulletin of the Korean Mathematical Society
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• v.50 no.5
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• pp.1673-1681
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• 2013

The main objective of this paper is to show how one can obtain eleven new and interesting hypergeometric identities in the form of a single result from the old ones by mainly employing the known beta integral method which was recently introduced and used in a systematic manner by Krattenthaler and Rao [6]. The results are derived with the help of a generalization of a well-known hypergeometric transformation formula due to Kummer. Several identities including one obtained earlier by Krattenthaler and Rao [6] follow as special cases of our main results.