• Title/Summary/Keyword: positive real

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Behavior of Solutions of a Fourth Order Difference Equation

  • Abo-Zeid, Raafat
    • Kyungpook Mathematical Journal
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    • v.56 no.2
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    • pp.507-516
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    • 2016
  • In this paper, we introduce an explicit formula for the solutions and discuss the global behavior of solutions of the difference equation $$x_{n+1}={\frac{ax_{n-3}}{b-cx_{n-1}x_{n-3}}}$$, $n=0,1,{\ldots}$ where a, b, c are positive real numbers and the initial conditions $x_{-3}$, $x_{-2}$, $x_{-1}$, $x_0$ are real numbers.

Implementation of a Real-Time Data Acquisition System Based on Wireless Communication for Urban Rail Transit Substation (도시철도 변전소의 네트워크 기반 실시간 데이터 취득 시스템 구현)

  • Jung, Ho-Sung;Park, Young;Kim, Hyung-Chul
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.59 no.1
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    • pp.71-76
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    • 2010
  • This paper is focused on implementing a real-time data acquisition system that checks power facility status by applying network based technology to Urban Transit substation power facilities and the results of its on-field tests. This system is composed of a sensor part, a measurement part, a transceiver part, a host computer, and a power source part. The system is designed to collect, save, analyze, and display the online state power facility AI (Analog Input). This system measures voltage and current from positive feeders and negative feeders where it is possible to check abnormalities of the substation‘s main power facilities. By monitoring abnormal data of the Urban Transit power facilities real-time and analyzing stored data, establishing procedures of optimized maintenance is possible.

EXPANSIONS OF REAL NUMBERS IN NON-INTEGER BASES

  • Chunarom, Danita;Laohakosol, Vichian
    • Journal of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.861-877
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    • 2010
  • The works of Erd$\ddot{o}$s et al. about expansions of 1 with respect to a non-integer base q, referred to as q-expansions, are investigated to determine how far they continue to hold when the number 1 is replaced by a positive number x. It is found that most results about q-expansions for real numbers greater than or equal to 1 are in somewhat opposite direction to those for real numbers less than or equal to 1. The situation when a real number has a unique q-expansion, and when it has exactly two q-expansions are studied. The smallest base number q yielding a unique q-expansion is determined and a particular sequence is shown, in certain sense, to be the smallest sequence whose corresponding base number q yields exactly two q-expansions.

COUNTING REAL J-HOLOMORPHIC DISCS AND SPHERES IN DIMENSION FOUR AND SIX

  • Cho, Cheol-Hyun
    • Journal of the Korean Mathematical Society
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    • v.45 no.5
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    • pp.1427-1442
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    • 2008
  • We provide another proof that the signed count of the real J-holomorphic spheres (or J- holomorphic discs) passing through a generic real configuration of k points is independent of the choice of the real configuration and the choice of J, if the dimension of the Lagrangian submanifold L (fixed point set of involution) is two or three, and also if we assume L is orient able and relatively spin. We also assume that M is strongly semi-positive. This theorem was first proved by Welschinger in a more general setting, and we provide more natural approach using the signed degree of an evaluation map.

A diagnosis of equine herpesvirus type 1 (EHV-1) myeloencephalopathy using real-time PCR (Real-time PCR에 의한 equine herpesvirus type 1 (EHV-1) myeloencephalopathy의 진단)

  • Choi, Seong-Kyoon;Kim, Joo-Hyung;Cho, Gil-Jae
    • Korean Journal of Veterinary Service
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    • v.37 no.1
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    • pp.59-65
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    • 2014
  • Equine herpesvirus myeloencephalopathy, out of symptoms by equine herpesvirus type 1 (EHV-1) infection, can cause devastating losses on individual farms. Although myeloencephalopathy syndromes of horses in Korea have been recognized for a couple of years in horse populations, there is little study regarding the occurrence of EHV-1 infections. The present study was performed to detect the viral infection of horses with neurological syndrome using real-time PCR. Fifteen horses (27.3%) out of 55 horses with neurological deficiency were positive for EHV-1 viral antigen. Among these 7 horses, 4 horses were detected genotype of A2254/N752 and 3 horses G2254/D752 strain, respectively.

Ultra Fast Real-Time PCR for Detection of Babesia gibsoni as Point of Care Test

  • Yang, Yong-Sung;Mun, Myung-Jun;Yun, Young-Min
    • Journal of Veterinary Clinics
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    • v.37 no.1
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    • pp.23-27
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    • 2020
  • Between May and November 2018, babesiosis was examined in 162 bloods samples obtained to an animal hospital in Jeju island for anemia and medical examination. Sixty-two of 162 (38.3%) were positive by PCR. The ultra fast real-time PCR test with blood directly analyzed without DNA extraction showed the same results. Accurate diagnosis, treatment and prognosis of babesiosis should be combined with clinical symptoms, blood tests, the babesia antibody test, and the PCR antigen test. Ultra fast real-time PCR, with these tests, is expected to be a point-of-care testing (POCT) for easy, fast and accurate diagnosis of babesiosis in the veterinary clinic.

Implementation of Interactive Self-portrait using Real-time News Stream

  • Lim, Sooyeon
    • International journal of advanced smart convergence
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    • v.7 no.4
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    • pp.147-153
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    • 2018
  • This study is about the interactive self-portrait which provides the experience of self-consciousness reflection of the viewer to modern people who are easily alienated in rapid social change. We proposed interactive self-portrait is implemented by an interactive mirror that reproduces the appearance of the viewer acquired using a webcam. The interactive mirror, which can directly project its own image, is drawn by searching news articles in real time and using the extracted characters as pixel information in real time. The viewer has the opportunity to experience a new style of active self-expression while watching his/herself composed of news characters that are issues of modern society. The virtual self-portrait designed with news characters can attract viewers' attention by visually expressing the interests of modern people and can act as an incentive to generate positive interaction.

Extreme Positive Operators from 2 × 2 to 3 × 3 Hermitian Matrices

  • Moon, Byung Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.4 no.1
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    • pp.11-38
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    • 1991
  • Let $E_n$ be the real ordered space of all $n{\times}n$ Hermitian Matrices and let T be a positive linear operator from $E_2$ to $E_3$. We prove in this paper that T is extreme if and only if T is unitarily equivalent to a map of the form $S_z$ for some $z{\in}C^2$ where $S_z$ is defined by $S_z(xx^*)=ww^*$, $w_i=x_iz_i$ for i = 1, 2 and $w_3=0$.

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HARNACK INEQUALITY FOR A NONLINEAR PARABOLIC EQUATION UNDER GEOMETRIC FLOW

  • Zhao, Liang
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.1587-1598
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    • 2013
  • In this paper, we obtain some gradient estimates for positive solutions to the following nonlinear parabolic equation $$\frac{{\partial}u}{{\partial}t}={\triangle}u-b(x,t)u^{\sigma}$$ under general geometric flow on complete noncompact manifolds, where 0 < ${\sigma}$ < 1 is a real constant and $b(x,t)$ is a function which is $C^2$ in the $x$-variable and $C^1$ in the$t$-variable. As an application, we get an interesting Harnack inequality.

GRADIENT ESTIMATES OF A NONLINEAR ELLIPTIC EQUATION FOR THE V -LAPLACIAN

  • Zeng, Fanqi
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.853-865
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    • 2019
  • In this paper, we consider gradient estimates for positive solutions to the following nonlinear elliptic equation on a complete Riemannian manifold: $${\Delta}_Vu+cu^{\alpha}=0$$, where c, ${\alpha}$ are two real constants and $c{\neq}0$. By applying Bochner formula and the maximum principle, we obtain local gradient estimates for positive solutions of the above equation on complete Riemannian manifolds with Bakry-${\acute{E}}mery$ Ricci curvature bounded from below, which generalize some results of [8].