• Title/Summary/Keyword: extensions

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q-EXTENSION OF A GENERALIZATION OF GOTTLIEB POLYNOMIALS IN THREE VARIABLES

  • Choi, June-Sang
    • Honam Mathematical Journal
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    • v.34 no.3
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    • pp.327-340
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    • 2012
  • Gottlieb polynomials were introduced and investigated in 1938, and then have been cited in several articles. Very recently Khan and Akhlaq introduced and investigated Gottlieb polynomials in two and three variables to give their generating functions. Subsequently, Khan and Asif investigated the generating functions for the $q$-analogue of Gottlieb polynomials. Very recently, Choi defined a $q$-extension of the generalized two variable Gottlieb polynomials ${\varphi}^2_n({\cdot})$ and presented their several generating functions. Also, by modifying Khan and Akhlaq's method, Choi presented a generalization of the Gottlieb polynomials in m variables to give two generating functions of the generalized Gottlieb polynomials ${\varphi}^m_n({\cdot})$. Here, in the sequel of the above results for their possible general $q$-extensions in several variables, again, we aim at trying to define a $q$-extension of the generalized three variable Gottlieb polynomials ${\varphi}^3_n({\cdot})$ and present their several generating functions.

A NOTE ON THE WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS WITH THEIR INTERPOLATION FUNCTION

  • Arac, Serkan;Ackgoz, Mehmet;Seo, Jong-Jin
    • Honam Mathematical Journal
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    • v.34 no.1
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    • pp.11-18
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    • 2012
  • Recently, T. Kim has introduced and analysed the q-Bernoulli numbers and polynomials with weight ${\alpha}$ cf.[7]. By the same motivaton, we also give some interesting properties of the q-Genocchi numbers and polynomials with weight ${\alpha}$. Also, we derive the q-extensions of zeta type functions with weight from the Mellin transformation of this generating function which interpolates the q-Genocchi polynomials with weight at negative integers.

An Enhanced Role-Based Access Control Model using Static Separation of Duty Concept

  • Yenmunkong, Burin;Sathitwiriyawong, Chanboon
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1350-1354
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    • 2004
  • This paper proposes a simple but practically useful model for preventing fraud of users called "ERBAC03". The new model consists of qualified mandatory and discretionary features for roles and locations, including the assignment of permissions for the appropriate roles and the assignment of roles for the appropriate locations. Moreover, a static separation of duty (SSoD) principle is applied to the new model for integrity requirements of security systems. The paper also explores some extensions of ERBAC03 including the new model using the SSoD concept from some experiments. The experimental results prove the efficiency improvement of the proposed model that can make benefits for large enterprises.

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Access Policy Transfer Between Active Nodes Using Identities

  • Kim, Young-Soo;Han, Jong-Wook;Seo, Dong-Il;Sohn, Seung-Won
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2178-2181
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    • 2003
  • Active networks allow active node’s functionality to be extended dynamically through the use of active extensions. This flexible architecture facilitates the deployment of new network protocols and services. However, the active nature of a network also raises serious safety and security concerns. These concerns must be addressed before active networks can be deployed. In this paper we look at how we can control active extension’s access to different active nodes. Specifically, the authentication between active nodes is very important in this case. We use unique identity each node has for transferring access policies between active nodes. In this paper, we suggest a new method of transferring access policies performing authentications using identities between active nodes.

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A Study on Secure Interaction of DHCP Server with DNS Server

  • Ham Young Hwan;Chung Byung Ho;Chung Kyo Il
    • Proceedings of the IEEK Conference
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    • 2004.08c
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    • pp.544-548
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    • 2004
  • DHCP(Dynamic Host Configuration Protocol) is a protocol which dynamically allocates an IP address and/or host configuration parameters to a host. The DHCP client's address can be changed dynamically any time. For the possible communication with other system, the DHCP client has to inform its address to the DNS system with dynamic update facility. But the DNS dynamic update has a problem related to the security. So we proposed the efficient mechanism for the secure integration of DHCP and DNS by using DNS security extensions. The system also uses the DNS server as the certificate repository for the storing & retrieval of each other's certificate.

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A study on Extensions to Music Player MAF for Multiple JPEG images and Text data with Synchronization (다중 영상 및 텍스트 동기화를 고려한 Music Player MAF 의 확장 포맷 연구)

  • Yang, Chan-Suk;Lim, Jeong-Yeon;Kim, Mun-Churl
    • Proceedings of the IEEK Conference
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    • 2005.11a
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    • pp.967-970
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    • 2005
  • The Music Player MAF Player Format of ISO/IEC 23000-2 FDIS consists of MP3 data, MPEG-7 metadata and one optional JPEG image data based on MPEG-4 File Format. However, the current Music Player MAF format does not allow multiple JPEG image data or timed text data. It is helpful to use timed text data and multiple JPEG images in the various multimedia applications. For example, listening material for the foreign language needs an additional book which has text and images, the audio contents which can get image and text data can be helpful to understand the whole story and situations well. In this paper, we propose the detailed file structure in conjunction with MPEG-4 File Format in order to improve the functionalities, which carry multiple image data and text data with synchronization information between MP3 data and other resources.

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INCOMPLETE EXTENDED HURWITZ-LERCH ZETA FUNCTIONS AND ASSOCIATED PROPERTIES

  • Parmar, Rakesh K.;Saxena, Ram K.
    • Communications of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.287-304
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    • 2017
  • Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function [Integral Transforms Spec. Funct. 23 (2012), 659-683] by means of the incomplete Pochhammer symbols $({\lambda};{\kappa})_{\nu}$ and $[{\lambda};{\kappa}]_{\nu}$, we first introduce incomplete Fox-Wright function. We then define the families of incomplete extended Hurwitz-Lerch Zeta function. We then systematically investigate several interesting properties of these incomplete extended Hurwitz-Lerch Zeta function which include various integral representations, summation formula, fractional derivative formula. We also consider an application to probability distributions and some special cases of our main results.

Involutive Micanorm Logics with the n-potency axiom (N-멱등 공리를 갖는 누승적 미카놈 논리)

  • Yang, Eunsuk
    • Korean Journal of Logic
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    • v.20 no.2
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    • pp.273-292
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    • 2017
  • In this paper, we deal with some axiomatic extensions of the involutive micanorm logic IMICAL. More precisely, first, the two involutive micanorm-based logics $P_nIMICAL$ and $FP_nIMICAL$ are introduced. Their algebraic structures are then defined, and their corresponding algebraic completeness is established. Next, standard completeness is established for $FP_nIMICAL$ using construction in the style of Jenei-Montagna.

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Robustness, Data Analysis, and Statistical Modeling: The First 50 Years and Beyond

  • Barrios, Erniel B.
    • Communications for Statistical Applications and Methods
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    • v.22 no.6
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    • pp.543-556
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    • 2015
  • We present a survey of contributions that defined the nature and extent of robust statistics for the last 50 years. From the pioneering work of Tukey, Huber, and Hampel that focused on robust location parameter estimation, we presented various generalizations of these estimation procedures that cover a wide variety of models and data analysis methods. Among these extensions, we present linear models, clustered and dependent observations, times series data, binary and discrete data, models for spatial data, nonparametric methods, and forward search methods for outliers. We also present the current interest in robust statistics and conclude with suggestions on the possible future direction of this area for statistical science.

ON QUASI-COMMUTATIVE RINGS

  • Jung, Da Woon;Kim, Byung-Ok;Kim, Hong Kee;Lee, Yang;Nam, Sang Bok;Ryu, Sung Ju;Sung, Hyo Jin;Yun, Sang Jo
    • Journal of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.475-488
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    • 2016
  • We study the structure of central elements in relation with polynomial rings and introduce quasi-commutative as a generalization of commutative rings. The Jacobson radical of the polynomial ring over a quasi-commutative ring is shown to coincide with the set of all nilpotent polynomials; and locally finite quasi-commutative rings are shown to be commutative. We also provide several sorts of examples by showing the relations between quasi-commutative rings and other ring properties which have roles in ring theory. We examine next various sorts of ring extensions of quasi-commutative rings.