• Title/Summary/Keyword: Variety of function

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SOME IDENTITIES INVOLVING THE LEGENDRE'S CHI-FUNCTION

  • Choi, June-Sang
    • Communications of the Korean Mathematical Society
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    • v.22 no.2
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    • pp.219-225
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    • 2007
  • Since the time of Euler, the dilogarithm and polylogarithm functions have been studied by many mathematicians who used various notations for the dilogarithm function $Li_2(z)$. These functions are related to many other mathematical functions and have a variety of application. The main objective of this paper is to present corrected versions of two equivalent factorization formulas involving the Legendre's Chi-function $\chi_2$ and an evaluation of a class of integrals which is useful to evaluate some integrals associated with the dilogarithm function.

A Study on the Typology of Mixing Activities and Space Organization in Public Library Buildings (공공도서관의 공간구성과 복합화 유형에 관한 연구)

  • 김정희;이상호
    • Korean Institute of Interior Design Journal
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    • no.41
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    • pp.146-154
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    • 2003
  • The purpose of this study is, According to society changing fast, human life is changing in the direction of complexity and variety, the middle class and multiple structure have been generated in relation between architecture and function. Accordingly, considering the analyzed elements of the main floor space planning and relation of the factors in space planning of Seoul s public libraries. The Public Library is variety of function is abstracted to the plan for Space Composition Form from future public library, analysis of “This point of user, how to composition is the space of different function” and “How to is the connection between the educational function and the other function, complexity of space.” With above distinctive themes and the research, the typology of public library in seoul city, At the first, the research shows that the public library is 8 type, and high in typology of “TYPE 7 (A3-B2-Cl)”. Secondary, There appears public library, such as in the satisfaction of the One-Function-User is high in “TYPE 3 (A1-B2-C3)”, in the satisfaction over the Two-Function-User is high in “TYPE 6 (A3-B1-C1)”

Asymptotic Relative Efficiency for New Scores in the Generalized F Distribution

  • Choi, Young-Hun
    • Communications for Statistical Applications and Methods
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    • v.11 no.3
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    • pp.435-446
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    • 2004
  • In this paper we introduced a new score generating function for the rank dispersion function in a multiple linear model. Based on the new score function, we derived the asymptotic relative efficiency, ARE(11, rs), of our score function with respect to the Wilcoxon scores for the generalized F distributions which show very flexible distributions with a variety of shape and tail behaviors. We thoroughly explored the selection of r and s of our new score function that provides improvement over the Wilcoxon scores.

Tankyrase: Function and Tankyrase Inhibitor in Cancer

  • Kim, Mi Kyung
    • Biomedical Science Letters
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    • v.24 no.3
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    • pp.150-156
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    • 2018
  • Tankyrases are multifunctional poly (ADP-ribose) polymerases that regulate a variety of cellular processes including WNT signaling, telomere maintenance, regulation of mitosis, and many others. Tankyrases interact with target proteins and regulate their interactions and stability through poly (ADP-ribosyl) ation. In addition to their roles in telomere maintenance and regulation of mitosis, tankyrase proteins regulate tumor suppressors such as AXIN, PTEN, and AMOT. Therefore, tankyrases can be effective targets for cancer treatment. Tankyrase inhibitors could affect a variety of pathways that are carcinogenic (essential for the unlimited proliferation of human cancer cells), including WNT, AKT, YAP, telomere maintenance, and regulation of mitosis. Recently, new aspects of the function and mechanism of tankyrases have been reported and several tankyrase inhibitors have been identified. Also, it has been proposed that the combination of conventional chemotherapy agents with tankyrase inhibitors may have synergistic anti-cancer effects. Based on this, it is expected that more advanced and improved tankyrase inhibitors will be developed, enabling new therapeutic strategies against cancer and other tankyrase linked diseases. This review discusses tankyrase function and the role of tankyrase inhibitors in the treatment of cancer.

Effect of Methanol Extract from Mulberry Fruit on the Lipid Metabolism and Liver Function in Cholesterol-Induced Hyperlipidemia Rats (뽕나무 품종별 오디추출물의 섭취가 흰쥐의 지질대사 및 간장기능에 미치는 영향)

  • 김현복;김선여;류강선;이완주;문재유
    • Journal of Sericultural and Entomological Science
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    • v.43 no.2
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    • pp.104-108
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    • 2001
  • We conducted this study to investigate the effect of methanol extract from Mulberry Fruit on the lipid metabolism and liver function in cholesterol-induced hyperlipidemia rats. We used 5 Mulberry Fruit varieties, including Daeryukppong, Kuksang 20, Subongppong, Wild variety and Cataneo. The yield of methanol extract from freezing dried Mulberry Fruits was 43.5-64.6%. Animal treated with Wild variety from Mulberry Fruit showed the decrease in body weight, food efficiency ratios, serum triglyceride (85%), and GOT value (86%). Our results suggest the hypolipidemic action of Wild variety from Mulberry Fruit.

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Improved An RFID Mutual Authentication Protocol Based on Hash Function (개선된 해시기반의 RFID 상호인증 프로토콜)

  • Shin, Ju-Seok;Oh, Se-Jin;Jeong, Cheol-Ho;Chung, Kyung-Ho;Ahn, Kwang-Seon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37 no.3C
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    • pp.241-250
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    • 2012
  • In 2010, Jeon-Kim proposed HMAP(Hash-based Mutual Authentication Protocol for RFID Environment) to resolve a variety of problem related to security using Mutual authentication scheme, the hash function and secret key is used to update in RFID system. Jeon-Kim proved RMAP was safe for a variety of attacks including eavesdropping attacks through safety analysis. However, unlike the claims of the proposed protocol is vulnerable to next session of the secret key exposure due to eavesdropping. In this paper, we analyze the problem of RMAP and proves it through security analysis. And we also propose improved an RFID Mutual Authentication Protocol based on Hash Function to solve problems of HMAP.

SEVERAL RESULTS ASSOCIATED WITH THE RIEMANN ZETA FUNCTION

  • Choi, Junesang
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.467-480
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    • 2009
  • In 1859, Bernhard Riemann, in his epoch-making memoir, extended the Euler zeta function $\zeta$(s) (s > 1; $s{\in}\mathbb{R}$) to the Riemann zeta function $\zeta$(s) ($\Re$(s) > 1; $s{\in}\mathbb{C}$) to investigate the pattern of the primes. Sine the time of Euler and then Riemann, the Riemann zeta function $\zeta$(s) has involved and appeared in a variety of mathematical research subjects as well as the function itself has been being broadly and deeply researched. Among those things, we choose to make a further investigation of the following subjects: Evaluation of $\zeta$(2k) ($k {\in}\mathbb{N}$); Approximate functional equations for $\zeta$(s); Series involving the Riemann zeta function.

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CERTAIN FORMULAS INVOLVING A MULTI-INDEX MITTAG-LEFFLER FUNCTION

  • Bansal, Manish Kumar;Harjule, P.;Choi, Junesang;Mubeen, Shahid;Kumar, Devendra
    • East Asian mathematical journal
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    • v.35 no.1
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    • pp.23-30
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    • 2019
  • Since Mittag-Leffler introduced the so-called Mittag-Leffler function, a number of its extensions have been investigated due mainly to their applications in a variety of research subjects. Shukla and Prajapati presented a lot of formulas involving a generalized Mittag-Leffler function in a systematic manner. Motivated mainly by Shukla and Prajapati's work, we aim to investigate a generalized multi-index Mittag-Leffler function and, among possible numerous formulas, choose to present several formulas involving this generalized multi-index Mittag-Leffler function such as a recurrence formula, derivative formula, three integral transformation formulas. The results presented here, being general, are pointed out to reduce to yield relatively simple formulas including known ones.

Improved Estimation of Poisson Menas under Balanced Loss Function

  • Chung, Younshik
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.767-772
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    • 2000
  • Zellner(1994) introduced the notion of a balanced loss function in the context of a general liner model to reflect both goodness of fit and precision of estimation. We study the perspective of unifying a variety of results both frequentist and Bayesian from Poisson distributions. We show that frequentist and Bayesian results for balanced loss follow from and also imply related results for quadratic loss functions reflecting only precision of estimation. Several examples are given for Poisson distribution.

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Functional Architecture Modeling of the Product Family (제품가족의 기능적 구조 모델링)

  • Kim, Tai-Oun
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.3
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    • pp.256-262
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    • 2007
  • In mass customization, the focus is variety and customization through flexibility and quick responsiveness. Mass customizers seek to provide personalized, custom-designed products at low prices to give customers exactly what they want and to provide sufficient variety in products and services. The idea of the product family is the most adequate approach to realize mass customization. An understanding of customer needs using functional decomposition becomes necessary to enhance the performance of the product family. This paper focuses on functional architecture modeling based on customer need regarding sub-functions for the product family. A quantitative functional model captures product functionality and customer need. Based on customer need ratings and sub-function, a product-function matrix was created. Additionally, a product-product matrix was generated to provide a similarity index among product families. A case study for implementing the functional architecture modeling was performed on the single use cameras.