• Title/Summary/Keyword: $Z_2$

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BEST APPROXIMATION SETS IN LINEAR 2-NORMED SPACES

  • Elumalai, S.;Cho, Y.J.;Kim, S.S
    • Communications of the Korean Mathematical Society
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    • v.12 no.3
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    • pp.619-629
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    • 1997
  • In this paper, we give some properties of the sets $D_z(x_o, G)P_{G, z}(x)$. We also provide the relation between $P_{G, z}(x)$ and G$\hat{a}$teaux derivatives.

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The Z based Framework for Network System Specification (네트워크 시스템 명세를 위한 Z 기반 프레임워크)

  • Shin, Jee-Hoon;Choi, Jin-Young
    • Proceedings of the Korean Information Science Society Conference
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    • 2011.06b
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    • pp.163-166
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    • 2011
  • 정형명세 언어인 Z는 상태기반의 명세언어로써 시스템의 기능성을 명세하고 검증하기 좋은 장점을 가지고 있다. 또한 Z에서 제공하는 스키마를 이용하여 복잡한 구조의 상태를 나타내기에 용이하다. 하지만 2개 이상의 시스템으로 구성된 네트워크 상의 통신을 나타내기가 힘든 단점이 있다. 본 논문에서는 Z를 이용하여 네트워크 프로토콜을 명세하기 위한 프레임워크를 제시하고 사례연구를 통해 적용가능성을 살펴본다. 본 연구결과를 토대로 네트워크로 구성된 안전 필수 시스템의 명세 가이드라인을 제시한다.

VALUE DISTRIBUTION OF SOME q-DIFFERENCE POLYNOMIALS

  • Xu, Na;Zhong, Chun-Ping
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.29-38
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    • 2016
  • For a transcendental entire function f(z) with zero order, the purpose of this article is to study the value distributions of q-difference polynomial $f(qz)-a(f(z))^n$ and $f(q_1z)f(q_2z){\cdots}f(q_mz)-a(f(z))^n$. The property of entire solution of a certain q-difference equation is also considered.

비즈니스 인사이드 - 한국HP, 세계 최초 울트라북 워크스테이션 출시

  • 대한인쇄문화협회
    • 프린팅코리아
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    • v.12 no.11
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    • pp.90-91
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    • 2013
  • 한국HP(대표 함기호, www.hp.co.kr)는 세계 최초 울트라북 워크스테이션인 HP ZBook 14와 업계 최초로 고속 데이터 전송 기술인 인텔 썬더볼트 및 최신 기능으로 무장한 워크스테이션 및 디스플레이를 포함한 Z시리즈 제품군을 공개했다. 이번에 선보인 Z시리즈는 매년 진행되는 HP 워크스테이션 솔루션 월드(HP Workstation Solution World)를 통해 공개됐으며, HP ZBook 모바일 워크스테이션 3종, 프로세서와 그래픽 성능이 향상된 HP Z데스크탑 워크스테이션 3종, 그리고 HP Z디스플레이(HP Z Displays) 신제품 2종이 포함됐다.

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CYCLIC CODES OF EVEN LENGTH OVER Z4

  • Woo, Sung-Sik
    • Journal of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.697-706
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    • 2007
  • In [8], we showed that any ideal of $\mathbb{Z}_4[X]/(X^{2^n}-1)$ is generated by at most two polynomials of the standard forms. The purpose of this paper is to find a description of the cyclic codes of even length over $\mathbb{Z}_4$ namely the ideals of $\mathbb{Z}_4[X]/(X^l\;-\;1)$, where $l$ is an even integer.

DISCUSSION ON THE ANALYTIC SOLUTIONS OF THE SECOND-ORDER ITERATED DIFFERENTIAL EQUATION

  • Liu, HanZe;Li, WenRong
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.4
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    • pp.791-804
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    • 2006
  • This paper is concerned with a second-order iterated differential equation of the form $c_0x'(Z)+c_1x'(z)+c_2x(z)=x(az+bx(z))+h(z)$ with the distinctive feature that the argument of the unknown function depends on the state. By constructing a convergent power series solution of an auxiliary equation, analytic solutions of the original equation are obtained.

HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION IN THREE VARIABLES

  • Lee, Sang Han;Park, Chun-Gil
    • Journal of the Chungcheong Mathematical Society
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    • v.16 no.2
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    • pp.11-21
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    • 2003
  • In this paper, we solve the following functional equation $$af\(\frac{x+y+z}{b}\)+af\(\frac{x-y+z}{b}\)+af\(\frac{x+y-z}{b}\)+af\(\frac{-x+y+z}{b}\)=cf(x)+cf(y)+cf(z)$$, and prove the Hyers-Ulam-Rassias stability of the functional equation as given above.

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ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTIONS

  • Kwon, Oh-Sang;Cho, Nak-Eun
    • East Asian mathematical journal
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    • v.5 no.1
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    • pp.57-67
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    • 1989
  • We introduce a class $L_{\sigma}*({\alpha},{\beta},{\gamma})$ of functions defined by $f*S_{\sigma}(z)$ of f(z) and $S_{\sigma}(z)=z/(1-z)^{2(1-{\sigma})}$. The present paper is to determine extreme point, coefficient inequalities., distortion Theorem and radius of starlikeness and convexity for functions in $L_{\sigma}*({\alpha},{\beta},{\gamma})$. And we give fractional calculus.

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A NOTE ON MEROMORPHIC SOLUTIONS OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS

  • Qi, Xiaoguang;Yang, Lianzhong
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.597-607
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    • 2019
  • In this article, we consider properties of transcendental meromorphic solutions of the complex differential-difference equation $$P_n(z)f^{(n)}(2+{\eta}_n)+{\cdots}+P_1(z)f^{\prime}(z+{\eta}_1)+P_0(z)f(z+{\eta}_0)=0$$, and its non-homogeneous equation. Our results extend earlier results by Liu et al. [9].

AN ASYMPTOTIC EXPANSION FOR THE FIRST DERIVATIVE OF THE HURWITZ-TYPE EULER ZETA FUNCTION

  • MIN-SOO KIM
    • Journal of applied mathematics & informatics
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    • v.41 no.6
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    • pp.1409-1418
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    • 2023
  • The Hurwitz-type Euler zeta function ζE(z, q) is defined by the series ${\zeta}_E(z,\,q)\,=\,\sum\limits_{n=0}^{\infty}{\frac{(-1)^n}{(n\,+\,q)^z}},$ for Re(z) > 0 and q ≠ 0, -1, -2, . . . , and it can be analytic continued to the whole complex plane. An asymptotic expansion for ζ'E(-m, q) has been proved based on the calculation of Hermite's integral representation for ζE(z, q).