• 제목/요약/키워드: delta function

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EXPONENTIAL STABILITY FOR THE GENERALIZED KIRCHHOFF TYPE EQUATION IN THE PRESENCE OF PAST AND FINITE HISTORY

  • Kim, Daewook
    • East Asian mathematical journal
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    • 제32권5호
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    • pp.659-675
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    • 2016
  • In this paper, we study the generalized Kirchhoff type equation in the presence of past and finite history $$\large u_{tt}-M(x,t,{\tau},\;{\parallel}{\nabla}u(t){\parallel}^2){\Delta}u+{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_0}^t}\;h(t-{\tau})div[a(x){\nabla}u({\tau})]d{\tau}\\\hspace{25}-{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{-{\infty}}}^t}\;k(t-{\tau}){\Delta}u(x,t)d{\tau}+{\mid}u{\mid}^{\gamma}u+{\mu}_1u_t(x,t)+{\mu}_2u_t(x,t-s(t))=0.$$ Under the smallness condition with respect to Kirchhoff coefficient and the relaxation function and other assumptions, we prove the expoential decay rate of the Kirchhoff type energy.

한국인 성인 남녀의 사위에 관한 연구 (A Study on the Phoria of Korean Male and Female Adults)

  • 성덕용
    • 한국안광학회지
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    • 제6권1호
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    • pp.59-63
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    • 2001
  • 성인 남자 53명, 여자 59명을 대상으로 (안과질환 및 사시환자를 제외) 사위의 종류 및 사위량을 측정한 결과 정위 31명(27.68%), 내사위 14명(12.50%), 외사위 54명(48.21%), 수직사위 4명(3.57%), 내사위이면서 수식사위 3명(2.68%), 외사위 이면서 수직사위 6명(5.36%)으로 나타났다. 대상자 112명중 81명(72.32%)이 수평 수직 사위로 나타났고, 수평사위량는 3 프리즘 디옵터 미만이 대부분을 차지하고, 최고 8프리즘 디옵터까지 측정되었다. 수직 사위량은 대부분 1 프리즘 디옵터 미만의 사위량이 측정되었고, 4프리즘 디옵터 이상이 9.3%로 조사되었다.

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Asymptotic Properties of the Stopping Times in a Certain Sequential Procedure

  • Kim, Sung-Lai
    • Journal of the Korean Statistical Society
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    • 제24권2호
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    • pp.337-347
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    • 1995
  • In the problem of some sequential estimation, the stopping times may be written in the form $N(c) = inf{n \geq n_0; n \geq c^2 S^2_n/\delta^2 (\bar{X}_n)}$ where ${s^2_n}$ and ${\bar{X}_n}$ are the sequences of sample variance and sample mean of the independently and identically distributed (i.i.d.) random variables with distribution $F_{\theta}(x), \theta \in \Theta$, respectively, and $\delta$ is either constant or any given positive real valued function. We obtain some asymptotic normality and asymptotic expectation of the N(c) in various limiting situations. Specially, uniform asymptotic normality and uniform asymptotic expectation of the N(c) are given.

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Investigation of Resonant Wavelength Separation in Microband-induced Fiber Gratings

  • Sohn Kyung-Rak;Shim Joon-Hwan;Kim Kwang-Taek
    • Journal of the Optical Society of Korea
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    • 제10권2호
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    • pp.63-66
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    • 2006
  • In microband-induced fiber gratings, polarization properties and birefringence are investigated as a function of an applied line force. With the transmission curves associated with the maximum and minimum resonant wavelengths, the polarization-dependent behaviors are analyzed. By increasing the transverse line force, the resonance wavelength for an incident light polarized to the same direction of the force is blue-shifted as much as 0.69 nm/(N/cm) while that for the other polarization is insensitive. Using the resonant wavelength separation corresponding to the force variation, the transverse effective index change or modal birefringence variation is obtained. The ratio of modal birefringence versus applied line force is ${\Delta}B/{\Delta}f_x={\sim}8.38{\times}10^{-7}$.

YIG 페라이트 소재에 대한 아이솔레이터 설계 및 분석 (Isolator Design and Analysis as a Function of YIG Ferrite Material Properties)

  • 전동석;이홍열;고경석;김동영;이상석
    • 전자통신동향분석
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    • 제18권6호통권84호
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    • pp.41-48
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    • 2003
  • 본 논문은 아이솔레이터의 소재 파라미터에 의한 삽입손실 영향에 대하여 서술하였다. 본 논문에서는 페리자성공명반치폭($\Delta$Η), 유전손실, 자계세기 그리고 포화자화에 대한 아이솔레이터 삽입손실의 관계를 알아 보았고, 또한 공진 아래 모드를 사용한 아이솔레이터의 온도안정화 연구 및 구조설계에 대하여알아 보았다. 아이솔레이터의 온도특성은 영구자석, YIG(Yttium Iron Garnet) 페라이트 그리고 공진기로사용되는 도체 등에 의한 변화에 대하여 본 논문에서는 실험시제품을 제작하여 측정 분석하였다. 측정결과 시뮬레이션 결과와 실험시제품 측정결과가 거의 일치하는 것을 알 수 있었다. 삽입손실 0.18~0.24dB, 반사손실 27dB, 아이솔레이션 27dB 그리고 대역폭 500MHz를 얻을 수 있었다. 이때 실험에 사용한 소재 파라미터는 포화자화 550G, 유전손실, $0.0004\Delta$Η20, 유전율 14로 하였다. 또한 온도안정화실험에서는 구조를 개선하여 온도안정화를 이루었다.

ON PROPERTIES OF COMPLEX ORDER FOR THE CLASSES OF UNIVALENT FUNCTIONS

  • Park, Suk-Joo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제2권2호
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    • pp.115-126
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    • 1995
  • Let A be the class of univalent functions f(z)=z+${\alpha}$$_2$z$^2$${\alpha}$$_3$z$^3$+…(1.1) which are analytic in the unit disk $\Delta$= {z:│z│<1}. Let S*(p) be the subclass of A composing of functions which are starlike of order $\rho$. A function f(z) belonging to the class A is said to be starlike of order $\rho$ ($\rho$(equation omitted) 0) if and only if z$\^$-l/ f(z) (equation omitted) 0 (z$\in$$\Delta$) and (equation omitted (1.2).(omitted)

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Blind Signal Processing for Impulsive Noise Channels

  • Kim, Nam-Yong;Byun, Hyung-Gi;You, Young-Hwan;Kwon, Ki-Hyeon
    • Journal of Communications and Networks
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    • 제14권1호
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    • pp.27-33
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    • 2012
  • In this paper, a new blind signal processing scheme for equalization in fading and impulsive-noise channel environments is introduced based on probability density functionmatching method and a set of Dirac-delta functions. Gaussian kernel of the proposed blind algorithm has the effect of cutting out the outliers on the difference between the desired level values and impulse-infected outputs. And also the proposed algorithm has relatively less sensitivity to channel eigenvalue ratio and has reduced computational complexity compared to the recently introduced correntropy algorithm. According to these characteristics, simulation results show that the proposed blind algorithm produces superior performance in multi-path communication channels corrupted with impulsive noise.

피로균열전파저항에 미치는 시험편 두께의 영향에 관한 확률론적 연구 (A Probabilistic Study to the Effect of Specimen Thickness on Fatigue Crack Growth Resistance)

  • 김선진;오세규
    • 한국해양공학회지
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    • 제8권2호
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    • pp.47-55
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    • 1994
  • The purpose of the present study is to investigate the effect of specimen thickness on statistical properties of crack growth resistance. In this study, the resistance S$\delta$$_h$(x) to fatigue crack growth was treated as a spatial stochastic process. which varies randomly on the crack surface. The theoretical autocorrelation functions of the resistance to fatigue crack growth considering specimen thickness are discussed for several correlation lengths. The main results obtained are : (1) The theoretical autocorrelation functions of S$\delta$$_h$(x) are almost independent of specimen of specimen thickness except for the origin. (2) The variance increases with decreasing specimen thickness.

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신경망 회로를 이용한 필기체 숫자 인식에 관할 연구 (A Study Of Handwritten Digit Recognition By Neural Network Trained With The Back-Propagation Algorithm Using Generalized Delta Rule)

  • 이규한;정진현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 G
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    • pp.2932-2934
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    • 1999
  • In this paper, a scheme for recognition of handwritten digits using a multilayer neural network trained with the back-propagation algorithm using generalized delta rule is proposed. The neural network is trained with hand written digit data of different writers and different styles. One of the purpose of the work with neural networks is the minimization of the mean square error(MSE) between actual output and desired one. The back-propagation algorithm is an efficient and very classical method. The back-propagation algorithm for training the weights in a multilayer net uses the steepest descent minimization procedure and the sigmoid threshold function. As an error rate is reduced, recognition rate is improved. Therefore we propose a method that is reduced an error rate.

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방사선 조사에 따른 저밀도 폴리에틸렌의 유전특성에 관한 연구 (A study on dielectric characteristics of gamma irradiated LDPE)

  • 김기엽;이청;임기조;류부형
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2000년도 하계학술대회 논문집
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    • pp.169-172
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    • 2000
  • In this paper, we evaluated the mechanical and dielectric properties of LDPE depend on $Co_{60}$${\gamma}$-irradiation doses. The chemical analyses for FT-IR, gel content, the mechanical properties for elongation at break and the dielectric parameters for permittivity, tan$\delta$ were discussed as a function of irradiation doses. Test result presented that elongation at break of irradiated LDPE was inversely proportional to gel content. For dielectric analyses, permittivity showed a salient characteristic for various irradiation doses, it was related to polar groups caused radiation degradation and tan$\delta$ of irradiated LDPE increased with irradiation doses.

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