• Title/Summary/Keyword: [p, q]-order

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SPATIAL DISTRIBUTION OF THE SPIN VECTORS OF THE DISK GALAXIES IN THE VIRGO CLUSTER

  • YUAN Q. R.;HU F. X.;HE X. T.
    • Journal of The Korean Astronomical Society
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    • v.29 no.spc1
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    • pp.55-56
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    • 1996
  • In order to investigate the spatial orientation of the spin vectors of galaxies in the Virgo cluster, we carried out a detailed identification of all the certain and possible member disk galaxies with four UK Schmidt Telescope (UKST) III a-j direct plates digitized by the Automated Plate Measuring System (APM). As a result, a relatively large and complete database with no selection effect of the member galaxies has been established. We provide the APM measured values of the position angle (P.A.) and diameters at the isophotal level of 24.5 $m_j / arcsec^2$. Based on this newly generated database, an initial study on the spatial orientation of the spin vectors of galaxies in the Virgo cluster is shown.

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ON STABILITY OF A POLYNOMIAL

  • KIM, JEONG-HEON;SU, WEI;SONG, YOON J.
    • Journal of applied mathematics & informatics
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    • v.36 no.3_4
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    • pp.231-236
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    • 2018
  • A polynomial, $p(z)=a_0z^n+a_1z^{n-1}+{\cdots}+a_{n-1}z+a_n$, with real coefficients is called a stable or a Hurwitz polynomial if all its zeros have negative real parts. We show that if a polynomial is a Hurwitz polynomial then so is the polynomial $q(z)=a_nz^n+a_{n-1}z^{n-1}+{\cdots}+a_1z+a_0$ (with coefficients in reversed order). As consequences, we give simple ratio checking inequalities that would determine unstability of a polynomial of degree 5 or more and extend conditions to get some previously known results.

MARK SEQUENCES IN 3-PARTITE 2-DIGRAPHS

  • Merajuddin, Merajuddin;Samee, U.;Pirzada, S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.1
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    • pp.41-56
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    • 2007
  • A 3-partite 2-digraph is an orientation of a 3-partite multi-graph that is without loops and contains at most two edges between any pair of vertices from distinct parts. Let D(X, Y, Z) be a 3-partite 2-digraph with ${\mid}X{\mid}=l,\;{\mid}Y{\mid}=m,\;{\mid}Z{\mid}=n$. For any vertex v in D(X, Y, Z), let $d^+_{\nu}\;and\;d^-_{\nu}$ denote the outdegree and indegree respectively of v. Define $p_x=2(m+n)+d^+_x-d^-_x,\;q_y=2(l+n)+d^+_y-d^-_y\;and\;r_z=2(l+m)+d^+_z-d^-_z$ as the marks (or 2-scores) of x in X, y in Y and z in Z respectively. In this paper, we characterize the marks of 3-partite 2-digraphs and give a constructive and existence criterion for sequences of non-negative integers in non-decreasing order to be the mark sequences of some 3-partite 2-digraph.

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Preparation and Piezoelectrical Properties of PMN-PZT Ceramics Prepared by High-Energy Ball Milling (고에너지볼밀법을 이용한 PMN-PZT 세라믹스의 제조와 압전특성)

  • Myoung, Seong-Jae;Koo, Bon-Keup
    • Journal of the Korean Ceramic Society
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    • v.42 no.10 s.281
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    • pp.685-690
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    • 2005
  • Pb(Zr,Ti)$O_{3}$Pb($Mn_{1/3}$$Nb_{2/3}$)$O_{3}$ powder was successfully synthesised by high-energy milling method, and the behavior of low­temperature sintering and piezoelectrical properties of Pb(Zr,Ti)$O_{3}$-Pb($Mn_{1/3}$$Nb_{2/3}$)$O_{3}$ ceramics were investigated as a function of mechanical alloying time. In order to confirm whether the Perovskite phase in this composition was formed by mechanical activation technique or not, we performed X-Ray Diffraction pattern analysis (XRD). The microstructure for the sintered samples were characterized using a Scanning Electronic Microscope (SEM). And the piezoelectrical properties ($k_{p}$ and $Q_{m}$) of the sintered samples was measured using HP 4194A impedance analyzer.

EIGENVALUE PROBLEMS FOR SYSTEMS OF NONLINEAR HIGHER ORDER BOUNDARY VALUE PROBLEMS

  • Rao, A. Kameswara;Rao, S. Nageswara
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.711-721
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    • 2010
  • Values of the parameter $\lambda$ are determined for which there exist positive solutions of the system of boundary value problems, $u^{(n)}+{\lambda}p(t)f(\upsilon)=0$, $\upsilon^{(n)}+{\lambda}q(t)g(u)=0$, for $t\;{\in}\;[a,b]$, and satisfying, $u^{(i)}(a)=0$, $u^{(\alpha)}(b)=0$, $\upsilon^{(i)}(a)=0$, $\upsilon^{(\alpha)}(b)=0$, for $0\;{\leq}\;i\;{\leq}\;n-2$ and $1\;{\leq}\;\alpha\;\leq\;n-1$ (but fixed). A well-known Guo-Krasnosel'skii fixed point theorem is applied.

Excretory bladder: the source of cysteine proteases in Paragonimus westermani metacercariae

  • Yang, Hyun-Jong;Chung, Young-Bae;Kang, Shin-Yong;Kong, Yoon;Cho, Seung-Yull
    • Parasites, Hosts and Diseases
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    • v.40 no.2
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    • pp.89-92
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    • 2002
  • The cysteine proteases of Paragonimus westermani metacercariae are involved in metacercarial excystment, host immune modulation, and possibly in tissue penetration. In order to clarify the origin of the enzymes, 28 and 27 kDa cysteine proteases in metacercarial excretory-secretory products were purified through the FPLC system using Mono Q column chromatography. The polyclonal antibodies to the enzymes were produced in BALB/c mice. Immunolocalization studies revealed that both cysteine proteases were distributed at the linings of excretory bladder and excretory concretions of the metacercariae. It was suggested that the excretory epithelium of P. westermani undertake the secretory function of metacercarial cysteine proteases, in addition to its role as a route for eliminating waste products.

Isotropic Compression Triaxial Test of Deformation Modulus of Unsaturated soils (불포화토의 등방압축 삼축시험시 변형계수에 관한 연구)

  • Lee, Jong-Pil;Oh, Se-Boong;Kim, Tae-Kyung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.132-135
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    • 2009
  • In order study, experimental stress-strain relationships were achieved for various suctions by triaxial tests. A failure envelop was occurred on a plane in p-q-$\psi$ space, since the level of matric suction is in the small range. It was found that the failure criteria could be defined uniquely by the Bishop stress and were also independent of matric suctions. At the level of small strain, deformation moduli were evaluated according to matric suctions by fitting to Ramberg-Osgood model. It was found that deformation moduli increase as matric suctions increase.

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A Study on Evaluating of Voltage Stability Considering Line Flow Sensitivity (선로조류 감도계수를 고려한 전압안정도 평가에 관한 연구)

  • Kim, Sae-Young;Choi, Sang-Kyu;Song, Kil-Yeong
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.1118-1120
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    • 1997
  • This paper presents a simple method for evaluating of voltage stability using the line flow equation. Line flow equations ($P_{ij}$, $Q_{ij}$) are comprised of state variable, $V_i$, ${\delta}_i$, $V_j$ and ${\delta}_j$, and line parameter, r and x. Using the feature of polar coordinate, these becomes one equation with two variables, $V_i$ and $V_j$. Moreover, if bus j is slack or generater bus, which is specified voltage magnitude, it becomes one equation with one variable $V_i$, that is, may be formulated with the second-order equation for $V_i^2$. Therefore, multiple load flow solutions may be obtained with simple computation, and the formulated equation used for approximately evaluating of voltage stability limit considering line flow sensitivity. The proposed method was validated to 2-bus and IEEE 6-bus system.

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On the Variational Approach for Analyzing the Stability of Solutions of Evolution Equations

  • Abdel-Gawad, Hamdy I.;Osman, M.S.
    • Kyungpook Mathematical Journal
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    • v.53 no.4
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    • pp.661-680
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    • 2013
  • The eigenvalue problems arise in the analysis of stability of traveling waves or rest state solutions are currently dealt with, using the Evans function method. In the literature, it had been shown that, use of this method is not straightforward even in very simple examples. Here an extended "variational" method to solve the eigenvalue problem for the higher order dierential equations is suggested. The extended method is matched to the well known variational iteration method. The criteria for validity of the eigenfunctions and eigenvalues obtained is presented. Attention is focused to find eigenvalue and eigenfunction solutions of the Kuramoto-Slivashinsky and (K[p,q]) equation.

Optimum Design of Axial-Flow Fans Including Noise Parameters (소음파라메터를 고려한 축류송풍기의 최적설계)

  • Son, B.J.;Lee, S.H.;Yoon, S.J.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.7 no.1
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    • pp.1-12
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    • 1995
  • In order to seek various relationships among many design parameters employed in the design of the axial-flow fans the program which generates acoustic spectrum has been developed and its validity verified. Outputs of the program, with other outputs from a formerly developed performance prediction program, have been used to form a multi-objective function, for which an optimal design process was carried out. The present analysis shows that overall noise level and efficiency has contrasting trends, and the chord length turns out to be the most critical design variable. In the chosen design case of requirements $Q=2000m^2/min$, ${\Delta}P_s=67mmAq$, D=1.4m, the chord length of 0.2059m minimizes the overall noise level, while chord length of 0.1254m maximizes the efficiency. The resulting chord length in the balanced optimization is 0.1809m.

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