• Title/Summary/Keyword: $Z_2$

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MINIMAL CLOZ-COVERS OF NON-COMPACT SPACES

  • Kim, Chang-Il
    • The Pure and Applied Mathematics
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    • v.4 no.2
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    • pp.151-159
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    • 1997
  • Observing that for any dense weakly Lindelof subspace of a space Y, X is $Z^{#}$ -embedded in Y, we show that for any weakly Lindelof space X, the minimal Cloz-cover ($E_{cc}$(X), $z_{X}$) of X is given by $E_{cc}$(X) = {(\alpha, \chi$) : $\alpha$ is a G(X)-ultrafilter on X with $\chi\in\cap\alpha$}, $z_{X}$=(($\alpha, \chi$))=$\chi$, $z_{X}$ is $Z^{#}$ -irreducible and $E_{cc}$(X) is a dense subspace of $E_{cc}$($\beta$X).

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Design and Implementation of Information Retrieval Standard Protocol Z39.50 Server (정보검색 표준 프로토콜 Z39.50 서버의 설계 및 구현)

  • Son, Chung-Beom;Song, Seok-Il;Choe, Gil-Seong;Jo, Gi-Hyeong;Yu, Jae-Su
    • Journal of KIISE:Computing Practices and Letters
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    • v.5 no.1
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    • pp.99-108
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    • 1999
  • 정보검색 프로토콜 Z39.50은 시스템마다 다른 환경의 차이에서 생긴 정보검색상의 문제점을 해결하기 위해 제시되었다. 본 논문에서는 Z39.50 프로토콜 버전 3의 기능을 지원하는 Z39.50서버를 설계하고 구현한다. 또한 상용검색엔진인 Verity 와 연동하여 하나의 완전한 정보검색 시스템인 Zverity를 구축한다. 구현한 시스템은 버전 2의 기본적인 서비스 외에 검색어를 조회하는 스캔서비스, 대용량의 데이터를 전송하기 위한 분할 서비스, 서버의 구현정보를 제공하는 설명 기능을 지원한다.

Comparative Study of CL Z-map Modeling for 3-Axis NC Machining (3축 NC 가공을 위한 CL Z-map 모델링 방법의 비교 연구)

  • Park, Jung-Whan;Chung, Yun-Chan;Choi, Byoung-Kyu
    • Journal of Korean Institute of Industrial Engineers
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    • v.26 no.4
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    • pp.325-335
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    • 2000
  • Gouge-free tool-path generation is an important issue in mold & die machining and researches on cutter interference avoidance can be found in many articles. One of the various methods is construction of tool-offset surface of cutter-location (CL) surface on which the cutter-center point (CL-point) locates. Provided that the CL surface is represented in a suitable form, cutter-interference avoidance can be performed without the burden of computing CL data for every cutter-contact (CC) point. In the paper, various methods of constructing a CL surface in the z-map form are presented, where z-map is a special form of discrete nonparametric representation in which the height values at grid points on the xy-plane are stored as a 2D array z[i,j].

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ON AN ADDITIVE FUNCTIONAL INEQUALITY IN NORMED MODULES OVER A $C^*$-ALGEBRA

  • An, Jong-Su
    • The Pure and Applied Mathematics
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    • v.15 no.4
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    • pp.393-400
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    • 2008
  • In this paper, we investigate the following additive functional inequality (0.1) ||f(x)+f(y)+f(z)+f(w)||${\leq}$||f(x+y)+f(z+w)|| in normed modules over a $C^*$-algebra. This is applied to understand homomor-phisms in $C^*$-algebra. Moreover, we prove the generalized Hyers-Ulam stability of the functional inequality (0.2) ||f(x)+f(y)+f(z)f(w)||${\leq}$||f(x+y+z+w)||+${\theta}||x||^p||y||^p||z||^p||w||^p$ in real Banach spaces, where ${\theta}$, p are positive real numbers with $4p{\neq}1$.

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A GENERALIZATION OF A RESULT OF CHOA ON ANALYTIC FUNCTIONS WITH HADAMARD GAPS

  • Stevic Stevo
    • Journal of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.579-591
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    • 2006
  • In this paper we obtain a sufficient and necessary condition for an analytic function f on the unit ball B with Hadamard gaps, that is, for $f(z)\;=\;{\sum}^{\infty}_{k=1}\;P_{nk}(z)$ (the homogeneous polynomial expansion of f) satisfying $n_{k+1}/n_{k}{\ge}{\lambda}>1$ for all $k\;{\in}\;N$, to belong to the weighted Bergman space $$A^p_{\alpha}(B)\;=\;\{f{\mid}{\int}_{B}{\mid}f(z){\mid}^{p}(1-{\mid}z{\mid}^2)^{\alpha}dV(z) < {\infty},\;f{\in}H(B)\}$$. We find a growth estimate for the integral mean $$\({\int}_{{\partial}B}{\mid}f(r{\zeta}){\mid}^pd{\sigma}({\zeta})\)^{1/p}$$, and an estimate for the point evaluations in this class of functions. Similar results on the mixed norm space $H_{p,q,{\alpha}$(B) and weighted Bergman space on polydisc $A^p_{^{\to}_{\alpha}}(U^n)$ are also given.

Output voltage characterstics of the cascade connected Quasi-Z-source AC-AC converter (Cascade 연결된 Quasi Z-source AC/AC Converter의 출력전압 특성)

  • Oum, Jun-Hyun;Jung, Young-Gook;Lim, Young-Cheol;Oh, Seung-Yeol
    • Proceedings of the KIPE Conference
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    • 2010.11a
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    • pp.192-193
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    • 2010
  • 본 논문에서는 Quasi Z-source AC/AC converter를 cascade로 연결한 시스템의 출력 전압 특성을 고찰 한다. 제안된 시스템은 Quasi Z-source AC/AC converter의 buck-boost와 boost의 출력특성을 기본으로 하고 있으며, 각각 출력 단이 절연된 단상 Quasi Z-source AC/AC converter 2대가 cascade로 연결된 구조이다. 제안된 시스템의 응용으로는 고전압 대용량의 교류전원 시스템과 고정 주파수의 가변전압과 같은 분야이다. 본 논문에서는 제안된 시스템에 대하여 PSIM 시뮬레이션을 통하여 출력 특성을 고찰하였다.

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Lp SOBOLEV MAPPING PROPERTIES OF THE BERGMAN PROJECTIONS ON n-DIMENSIONAL GENERALIZED HARTOGS TRIANGLES

  • Zhang, Shuo
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1355-1375
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    • 2021
  • The n-dimensional generalized Hartogs triangles ℍn𝐩 with n ≥ 2 and 𝐩 := (p1, …, pn) ∈ (ℝ+)n are the domains defined by ℍn𝐩 := {z = (z1, …, zn) ∈ ℂn : |z1|p1 < ⋯ < |zn|pn < 1}. In this paper, we study the Lp Sobolev mapping properties for the Bergman projections on the n-dimensional generalized Hartogs triangles ℍn𝐩, which can be viewed as a continuation of the work by S. Zhang in [25] and a higher-dimensional generalization of the work by L. D. Edholm and J. D. McNeal in [16].

IMPROVEMENT AND GENERALIZATION OF A THEOREM OF T. J. RIVLIN

  • Pritika, Mahajan;Devi, Khangembam Babina;Reingachan, N.;Chanam, Barchand
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.3
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    • pp.691-700
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    • 2022
  • Let p(z) be a polynomial of degree n having no zero inside the unit circle. Then for 0 < r ≤ 1, the well-known inequality due to Rivlin [Amer. Math. Monthly., 67 (1960) 251-253] is $$\max\limits_{{\mid}z{\mid}=r}{\mid}p(z){\mid}{\geq}{\(\frac{r+1}{2}\)^n}\max\limits_{{\mid}z{\mid}=1}{\mid}p(z){\mid}$$. In this paper, we generalize as well as sharpen the above inequality. Also our results not only generalize, but also sharpen some known results proved recently.

Temperature-dependent dielectric relaxation in ITO/Alq3/Al organic light-emitting diodes

  • Ahn, Joonho;Kim, Tae Wan;Lee, Won Jae
    • Journal of Ceramic Processing Research
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    • v.13 no.spc2
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    • pp.163-165
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    • 2012
  • Impedance spectroscopy informs electrical properties of materials as accumulated charges, contact status between electrode and organic materials. We carried out impedance spectroscopy of organic light-emitting diodes as ITO/Alq3(60 nm)/Al on temperatures from 10 K to 300 K. The result described Z'-Z" plot, cole-cole plot and dielectric relaxation time τ. Z'-Z" plot means that real and imaginary part of materials in organic and electrode by frequencies and temperature. Z' as real part of impedance by applied frequency depending on temperature shows the plateau in low frequency region as Rs+ Rp and over 100 kHz in high frequency region as Rs. Cole-cole plot shows resistance of materials in equivalent circuit of the device by temperatures. And equivalent circuit and dielectric relaxation could be accomplished by using the complex impedance analysis.

Development of Swirl Disc Nozzles for Knapsack Sprayers (배부식 방제기를 위한 디스크형 노즐 개발)

  • Gwak H.H.;Kim Y.J.;Rhee J.Y.
    • Journal of Biosystems Engineering
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    • v.31 no.3 s.116
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    • pp.153-160
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    • 2006
  • This study was performed to evaluate some geometrical characteristics of disc type swirl nozzles and to develop nozzles having improved spraying performance for knapsack sprayers. Considered geometrical characteristics of the nozzles were disc thickness, orifice diameter, swirl chamber diameter and shape of the swirl chamber (nozzle chamber). 3 types of nozzle cores were compared. Main results of this study were as follows. 1. Spraying angle (A) was increased with decreasing disc thickness (x), and with increasing orifice diameter (y) or spraying pressure (z). The equation was as a follow. $$A=3.95\frac{1}{x}+73.50\sqrt{y}+18.97\sqrt{z}-60.16$$ 2. Spraying flow rate (F) was increased with decreasing disc thickness (x), and with increasing orifice diameter (y) or spraying pressure (z). The equation was as a follow. $$F=-89.95x+611.09y+620.49\sqrt{z}-868.20$$ 3. Mean spraying droplet size (V) was decreased with decreasing disc thickness (x), with increasing orifice diameter (y) in low spraying pressure, with decreasing orifice diameter (y) in high spraying pressure, and with increasing spraying pressure (z). $$V=148.77x^4-746.85x^3+1311.76x^2-917.31x$$ 4. The spray pattern was compared using CV values. The CV value of the nozzle core type 1 was 26.7% in spraying pressure $3\;kgf/cm^2$, the CV value of the core type 2 was 23.6% in spraying pressure $2\;kgf/cm^2$, the CV value of the core type 3 was 20.6% in spraying pressure $1\;kgf/cm^2$. 5. Minimum spraying pressure was improved from $1.5\;kgf/cm^2\;to\;1.0\;kgf/cm^2$ by changes of nozzle core shape.