• Title/Summary/Keyword: $k_p$

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A Design System for Group Management and Maintenance of Reliability In Hybrid P2P (Hybrid P2P의 그룹관리와 신뢰성을 위한 시스템 설계)

  • Lee, Seok-Hee;Hyun, Jeung-Sik;Lee, Tae-Hee;Cho, Sang
    • Proceedings of the Korean Information Science Society Conference
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    • 2002.04a
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    • pp.412-414
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    • 2002
  • 현재 많이 사용되고 있는 P2P개념으로는 순수 P2P와 변경 P2P구조가 있다[3]. 순수 P2P의 모델에는 Gnutella와 stella등의 형태가 존재하고 변형 P2P로는 무수히 많은 형태가 존재한다. 이 변형 P2P모델들 중파일 공유 모델들이 존재하는데 이 모델들은 파일의 공유를 위한 그룹 관리와 검색, 색인 등의 기능을 제공한다. 파일공유 모델의 Peer들에 대해 연결성 유지를 위한 많은 부하와 사용자에 있어서 그룹에 대한 형태의 문제점 그리고 서버의 Fail에 대한 비연결성에 관한 문제점을 해결하기 위해 본 논문에서는 라우팅 기법에서의 접근을 통해 과일공유모델에 계층적 구조를 적용하고 Backup시스템을 설계하여 사용자에 의한 효율적인 그룹관리와 연결의 신뢰성을 유지하기 위해 시스템을 설계하였다.

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SOME GROWTH ASPECTS OF COMPOSITE P-ADIC ENTIRE FUNCTIONS IN THE LIGHT OF THEIR (p, q)-TH RELATIVE ORDER AND (p, q)-TH RELATIVE TYPE

  • Biswas, Tanmay
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.4
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    • pp.429-460
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    • 2018
  • Let us consider that ${\mathbb{K}}$ be a complete ultrametric algebraically closed field and ${\mathcal{A}}({\mathbb{K}})$ be the ${\mathbb{K}}-algebra$ of entire functions on ${\mathbb{K}}$. In this paper we introduce the notions of (p, q)-th relative order and (p, q)-th relative type of p adic entire functions where p and q are any two positive integers and then study some growth properties of composite p adic entire functions in the light of their (p, q)-th relative order and (p, q)-th relative type. After that we show that (p, q) th relative order and (p, q)-th relative type are remain unchanged for derivatives under some certain conditions.

A Design of P2P Cloud System Using The Super P2P

  • Jung, Yean-Woo;Cho, Seongsoo;Lee, Jong-Yong;Jeong, KyeDong
    • International Journal of Internet, Broadcasting and Communication
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    • v.7 no.1
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    • pp.42-48
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    • 2015
  • Generally, the current commercial cloud system is hosted by the centralization large datacenter. However, the other clouding forms existed and one of them is the P2P cloud. The P2P Cloud is a distributed systems, is freedom to join and leave and is possible to provide the IaaS. Commonly, P2P Cloud System is based on Pure-P2P System. Since a number of connection paths exist, it has a high reliability and easily scalability of the network. However, there are disadvantages of the slow rate of route because of looking up the all peers in order to search for the peer. In this paper, it proposes the P2P cloud system based on super-peer P2P. Super-peer P2P system has fast routing time, because of searching for cluster unit and it also can has high reliability and high scalability. We designs the super Peer cloud service and proposes the system model and Resource Allocation Algorithm for IaaS in Super peer P2P environment.

A remark on p-adic q-bernoulli measure

  • Kim, Han-Soo;Lim, Pil-Sang;Kim, Taekyun
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.39-44
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    • 1996
  • Throughout this paper $Z^p, Q_p$ and C_p$ will denote the ring of p-adic rational integers, the field of p-adic rational numbers and the completion of the algebraic closure of $Q_p$, respectively. Let $v_p$ be the normalized exponential valuation of $C_p$ with $$\mid$p$\mid$_p = p^{-v_p (p)} = p^{-1}$. We set $p^* = p$ for any prime p > 2 $p^* = 4 for p = 2$.

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Expression of p21, p27 in Osteosarcoma and Its Prognostic Significance (p21, p27 단백질의 발현과 골육종 예후와의 관련성)

  • Oh, Joo-Han;Lee, Sang-Hoon;Cho, Whan-Seong;Yoo, Kwang-Hyun;Kim, Jin-Sam;Gong, Hyun-Sik;Suh, Sung-Wook;Kim, Ji-Eun;Kim, Han-Soo
    • The Journal of the Korean bone and joint tumor society
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    • v.9 no.2
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    • pp.169-177
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    • 2003
  • Purpose: The purpose of the current study is to evaluate the correlation between the expressions of p21 and p27 in osteosarcoma, and prognostic impact such as local recurrence, distant metastasis and survival rate. Materials and methods: Between 1988 and 2001, forty patients who underwent surgery, followed more than 12 months, and whose pathologic blocks were available, were evaluated retrospectively. Their formalin-fixed and paraffin-embedded tumor specimens were investigated. The correlation between expressions of p21, p27, local recurrence, distant metastasis and survival rate was statistically evaluated. Results: p21 protein was expressed in 38 (95%) patients. p27 protein was expressed in 14 (35%) patients. Patients with high expression of p21 had more frequent metastasis and poorer results (p=0.024). In contrast with these findings, patients with positive staining of the p27 had the significant lower distant metastasis (p=0.028). Conclusion: The prognosis of the osteosarcoma according to the expression level of p21 and p27 had inverse relationship which had unknown mechanism. Further work will be needed to define the relationship between p21 and p27.

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A NOTE ON (p, q)-TH RELATIVE ORDER AND (p, q)-TH RELATIVE TYPE OF P-ADIC ENTIRE FUNCTIONS

  • Biswas, Tanmay
    • Honam Mathematical Journal
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    • v.40 no.4
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    • pp.621-659
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    • 2018
  • Let us consider that ${\mathbb{K}}$ be a complete ultrametric algebraically closed field and A (${\mathbb{K}}$) be the ${\mathbb{K}}$-algebra of entire functions on ${\mathbb{K}}$. In this paper we introduce the notions of (p, q)-th relative order and (p, q)-th relative type of entire functions on ${\mathbb{K}}$ where p and q are any two positive integers and then study some basic properties of p-adic entire functions on the basis of their (p, q)-th relative order and (p, q)-th relative type.

A REFINED ENUMERATION OF p-ARY LABELED TREES

  • Seo, Seunghyun;Shin, Heesung
    • Korean Journal of Mathematics
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    • v.21 no.4
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    • pp.495-502
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    • 2013
  • Let $\mathcal{T}^{(p)}_n$ be the set of p-ary labeled trees on $\{1,2,{\ldots},n\}$. A maximal decreasing subtree of an p-ary labeled tree is defined by the maximal p-ary subtree from the root with all edges being decreasing. In this paper, we study a new refinement $\mathcal{T}^{(p)}_{n,k}$ of $\mathcal{T}^{(p)}_n$, which is the set of p-ary labeled trees whose maximal decreasing subtree has k vertices.

ON CONGRUENCES INVOLVING THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS

  • Koparal, Sibel;Omur, Nese
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.649-658
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    • 2019
  • In this paper, we prove some congruences involving the generalized Catalan numbers and harmonic numbers modulo $p^2$, one of which is $$\sum\limits_{k=1}^{p-1}k^2B_{p,k}B_{p,k-d}{\equiv}4(-1)^d\{{\frac{1}{3}}d(2d^2+1)(4pH_d-1)-p\({\frac{26}{9}}d^3+{\frac{4}{3}}d^2+{\frac{7}{9}}d+{\frac{1}{2}}\)\}\;(mod\;p^2)$$, where a prime number p > 3 and $1{\leq}d{\leq}p$.

On Generalized Integral Operator Based on Salagean Operator

  • Al-Kharsani, Huda Abdullah
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.359-366
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    • 2008
  • Let A(p) be the class of functions $f\;:\;z^p\;+\;\sum\limits_{j=1}^{\infty}a_jz^{p+j}$ analytic in the open unit disc E. Let, for any integer n > -p, $f_{n+p-1}(z)\;=\;z^p+\sum\limits_{j=1}^{\infty}(p+j)^{n+p-1}z^{p+j}$. We define $f_{n+p-1}^{(-1)}(z)$ by using convolution * as $f_{n+p-1}\;*\;f_{n+p-1}^{-1}=\frac{z^p}{(1-z)^{n+p}$. A function p, analytic in E with p(0) = 1, is in the class $P_k(\rho)$ if ${\int}_0^{2\pi}\|\frac{Re\;p(z)-\rho}{p-\rho}\|\;d\theta\;\leq\;k{\pi}$, where $z=re^{i\theta}$, $k\;\geq\;2$ and $0\;{\leq}\;\rho\;{\leq}\;p$. We use the class $P_k(\rho)$ to introduce a new class of multivalent analytic functions and define an integral operator $L_{n+p-1}(f)\;\;=\;f_{n+p-1}^{-1}\;*\;f$ for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.

A Review of the Games Phalonidia (Lepidoptera, Tortricidae) in Korea (한국산 Phalonidia속 (나비목, 잎말이나방과)의 분류학적 정리)

  • B. K. Byun;K. T. Park
    • Korean journal of applied entomology
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    • v.34 no.4
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    • pp.378-390
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    • 1995
  • Among 15 recognized species of the genus Phalonidia from Korea, following 9 species are reported for the first time from Korea: Phalonidia aliena Kuznetsov, P. lydiae Filipijev, P. scabra Liu et Ge, P. zygota Razowski, P. alismana (ragonot), P. luridana (Gregson), P. permixtana ([Denis et Schiffemuller]), P. rubricana (Peyerimhoff), and P. silvestris Kuznetsov.

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