• Title/Summary/Keyword: DX

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ANALYTIC OPERATOR-VALUED GENERALIZED FEYNMAN INTEGRALS ON FUNCTION SPACE

  • Chang, Seung Jun;Lee, Il Yong
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.1
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    • pp.37-48
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    • 2010
  • In this paper we use a generalized Brownian motion process to defined an analytic operator-valued generalized Feynman integral. We then obtain explicit formulas for the analytic operatorvalued generalized Feynman integrals for functionals of the form $$F(x)=f\({\int}^T_0{\alpha}_1(t)dx(t),{\cdots},{\int}_0^T{\alpha}_n(t)dx(t)\)$$, where x is a continuous function on [0, T] and {${\alpha}_1,{\cdots},{\alpha}_n$} is an orthonormal set of functions from ($L^2_{a,b}[0,T]$, ${\parallel}{\cdot}{\parallel}_{a,b}$).

BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR NONLOCAL SOURCE

  • Zhou, Jun;Mu, Chunlai
    • Communications of the Korean Mathematical Society
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    • v.23 no.4
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    • pp.529-540
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    • 2008
  • This paper deals the global existence and blow-up properties of the following non-Newton polytropic filtration system, $${u_t}-{\triangle}_{m,p}u=u^{{\alpha}_1}\;{\int}_{\Omega}\;{\upsilon}^{{\beta}_1}\;(x,\;t)dx,\;{\upsilon}_t-{\triangle}_{n,p}{\upsilon}={\upsilon}^{{\alpha}_2}\;{\int}_{\Omega}\;u^{{\beta}_2}\;(x,{\;}t)dx,$$ with homogeneous Dirichlet boundary condition. Under appropriate hypotheses, we prove that the solution either exists globally or blows up in finite time depends on the initial data and the relations of the parameters in the system.

Directivity Synthesis Simulation of Ultrasonic Transducer Using Gauss Elimination Method (GAUSS 소거법을 이용한 초음파 트랜스듀서의 지향성합성 SIMULATION)

  • 이정남;조기량;이진선;이문수
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.6 no.4
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    • pp.20-27
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    • 1995
  • A numerical simulation is carried out on the directivity synthesis of ultrasonic transducers by point source array. Gauss elimination method is practiced by means of a directive method to realize the desired directivity. Desired directivity is chosen to be that of a directivity of line source, a beam width and a direction arbitrary specified. On the numerical result, Gauss elimination method is showed high speed ca- lculative simulation and stability of system more than iterative method(LMS, DFP). Numerical simulations are carried out by PC(CPU:80486 DX2, RAM 16Mbyte).

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Survey of Ehrlichia canis and Borrelia burgdorferi antibodies in dogs (German shepherd) reared in Korea

  • Lee, Sang-Eun;Song, Kun-Ho;Lee, Suk-Hoon
    • Korean Journal of Veterinary Research
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    • v.47 no.3
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    • pp.281-283
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    • 2007
  • This study was conducted to survey of Ehrlichia (E.) canis and Borrelia (B.) burgdorferi antibodies among clinically healthy German shepherd dogs (116 females and 120 males) using a ELISA kit (SNAP 3Dx; IDEXX Laboratories, USA) in Korea. Whole blood samples are collected from the 236 dogs and are tested to detect E. canis and B. burgdorferi antibodies by using ELISA kit (SNAP 3Dx; IDEXX Laboratories, USA). Confidence interval comparisions revealed that dogs of 4-6 years have higher prevalence with a seropositive result (CI=0.17-0.45) in E. canis than the other age groups but there are no differences among age groups in B. burgdorferi. Also, no differences with a seropositive result were found among different regions in E. canis and B. burgdorferi antibodies. In conclusion, this study was the first large scale survey of canine E. canis and B. burgdorferi antibodies in Korea and provide an useful reference for clinicians.

Visual servoing for a mobile robot with an arm (팔 달린 이동로봇을 위한 비주얼 서보잉)

  • Lee, Hoo-Cheol;Kim, Young-Joong;Hong, Dae-Hie;Park, Sin-Suk;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2008.10b
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    • pp.347-348
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    • 2008
  • 본 논문에서는 P3-DX 모바일 로봇과 영상처리 시스템을 이용하여 비주얼 서보잉 시스템을 개발하였다. P2Arm 다이나믹을 이용해서 비주얼 서보잉을 위한 로봇 팔 제어를 연구하였고, 로봇을 제어하는 데 있어 보다 효율성과 정확성을 높이기 위해 Kalman 필터 알고리즘을 제안하였다. 비주얼 서보잉에 필수적인 영상정보를 얻기 위해 5자유도 P2Arm에 CCD카메라를 부착하였으며 그 영상정보를 바탕으로 P2Arm을 비롯하여 전체 로봇의 구동을 제어하는 시스템을 개발하였다. 본 논문에서는 P3-DX의 전체적인 구조와 P2Arm의 기구학적인 해석을 논하였고 물체 인식을 위한 영상처리 과정 및 제어알고리즘을 기술하였다. 또한 몇 가지 실험을 통해 본 시스템의 효율성을 검증하였다.

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EXISTENCE AND CONCENTRATION RESULTS FOR KIRCHHOFF-TYPE SCHRÖ DINGER SYSTEMS WITH STEEP POTENTIAL WELL

  • Lu, Dengfeng
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.2
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    • pp.661-677
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    • 2015
  • In this paper, we consider the following Kirchhoff-type Schr$\ddot{o}$dinger system $$\{-\(a_1+b_1{\int}_{\mathbb{R^3}}{\mid}{\nabla}u{\mid}^2dx\){\Delta}u+{\gamma}V(x)u=\frac{2{\alpha}}{{\alpha}+{\beta}}{\mid}u{\mid}^{\alpha-2}u{\mid}v{\mid}^{\beta}\;in\;\mathbb{R}^3,\\-\(a_2+b_2{\int}_{\mathbb{R^3}}{\mid}{\nabla}v{\mid}^2dx\){\Delta}v+{\gamma}W(x)v=\frac{2{\beta}}{{\alpha}+{\beta}}{\mid}u{\mid}^{\alpha}{\mid}v{\mid}^{\beta-2}v\;in\;\mathbb{R}^3,\\u,v{\in}H^1(\mathbb{R}^3),$$ where $a_i$ and $b_i$ are positive constants for i = 1, 2, ${\gamma}$ > 0 is a parameter, V (x) and W(x) are nonnegative continuous potential functions. By applying the Nehari manifold method and the concentration-compactness principle, we obtain the existence and concentration of ground state solutions when the parameter ${\gamma}$ is sufficiently large.

VOLUME MEAN OPERATOR AND DIFFERENTIATION RESULTS ASSOCIATED TO ROOT SYSTEMS

  • Rejeb, Chaabane
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.1981-1990
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    • 2017
  • Let R be a root system in $\mathbb{R}^d$ with Coxeter-Weyl group W and let k be a nonnegative multiplicity function on R. The generalized volume mean of a function $f{\in}L^1_{loc}(\mathbb{R}^d,m_k)$, with $m_k$ the measure given by $dmk(x):={\omega}_k(x)dx:=\prod_{{\alpha}{\in}R}{\mid}{\langle}{\alpha},x{\rangle}{\mid}^{k({\alpha})}dx$, is defined by: ${\forall}x{\in}\mathbb{R}^d$, ${\forall}r$ > 0, $M^r_B(f)(x):=\frac{1}{m_k[B(0,r)]}\int_{\mathbb{R}^d}f(y)h_k(r,x,y){\omega}_k(y)dy$, where $h_k(r,x,{\cdot})$ is a compactly supported nonnegative explicit measurable function depending on R and k. In this paper, we prove that for almost every $x{\in}\mathbb{R}^d$, $lim_{r{\rightarrow}0}M^r_B(f)(x)= f(x)$.

Functional Identification of Ginkgo biloba 1-Deoxy-D-xylulose 5-Phosphate Synthase (DXS) Gene by Using Escherichia coli Disruptants Defective in DXS Gene

  • Kim, Sang-Min;Kuzuyama, Tomohisa;Chang, Yung-Jin;Kim, Soo-Un
    • Journal of Applied Biological Chemistry
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    • v.48 no.2
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    • pp.101-104
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    • 2005
  • DXS catalyzes the first step of MEP pathway. Escherichia coli disruptants defective in dxs were constructed by insertional mutation and characterized. Selected disruptant, DXM3, was auxotrophic for DX or ME. Putative class 1 DXS ORF from Ginkgo biloba was shown to rescue DXM3 grown without DX or ME supplementation. The putative ORF was thus confirmed as DXS1. The disruptant was demonstrated to be useful for DSX screening.