• 제목/요약/키워드: Delta function

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시각기능 개선을 위한 시기능훈련이 시지각에 미치는 영향 (Effect of Visual Perception by Vision Therapy for Improvement of Visual Function)

  • 이승욱;이현미
    • 한국안광학회지
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    • 제20권4호
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    • pp.491-499
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    • 2015
  • 목적: 시각이상을 가진 아동을 대상으로 시기능훈련을 통한 시각기능이상의 개선 전후 시지각점수의 변화를 살펴보고 시지각에 미치는 영향을 알아보고자 한다. 방법: 시각기능이상을 가진 13세 미만($8.75{\pm}1.66$)의 아동 23명을 대상으로 시기능훈련 전후에 시지각기능검사(TVPS_R; test of visual perceptual skills-revised)를 실시하여 시기능훈련에 따른 시각기능의 변화와 시지각 평가점수의 변화를 분석하였다. 결과: 시기능훈련을 통해서 원거리 PRC(positive relative convergence) 분리점은 평균 $3.39{\pm}2.59{\Delta}$(prism)에서 $13.87{\pm}6.04{\Delta}$로 증가되었고, 근거리 P.R.C 분리점은 평균 $5.48{\pm}3.42{\Delta}$에서 $18.44{\pm}7.58{\Delta}$로 증가하였다. NPC(near point of convergence)는 $25.87{\pm}7.33cm$에서 $7.48{\pm}2.83cm$로 개선되었고, NPA(near point of accommodation)는 $19.57{\pm}7.16cm$에서 $7.09{\pm}1.88cm$로 개선되었다. 시지각평가에서 시각기억분야를 제외하고는 대응차가 시각완성에서 $17.74{\pm}16.94$(p=0.000), 시각적순차기억에서 $15.65{\pm}17.11$(p=0.000), 배경식별에서 $13.65{\pm}16.63$(p=0.001), 형태향상성에서 $12.74{\pm}18.41$(p=0.003), 시각구별에서 $6.49{\pm}10.07$(p=0.005), 시각적공간지각에서 $4.17{\pm}9.33$(p=0.043) 순으로 개선되었고, 이를 종합한 시지각점수는 대응차가 $15.22{\pm}8.66$(p=0.000)로서 더욱 더 유의한 결과를 나타내었다. 결론: 시기능훈련을 통해서 시각기능의 개선과 시각기억분야를 제외한 시지각점수의 향상이 시각완성, 시각적순차기억, 배경식별, 형태향상성, 시각구별, 시각적공간지각 순으로 유의하게 나타났다. 따라서 시각기능향상을 위한 시기능훈련은 시각의 기능뿐만 아니라 시지각의 기능까지 영향을 미치는 것을 확인 할 수 있으며 시각훈련의 중요성을 인식 할 수 있었다.

STABLE APPROXIMATION OF THE HEAT FLUX IN AN INVERSE HEAT CONDUCTION PROBLEM

  • Alem, Leila;Chorfi, Lahcene
    • 대한수학회논문집
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    • 제33권3호
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    • pp.1025-1037
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    • 2018
  • We consider an ill-posed problem for the heat equation $u_{xx}=u_t$ in the quarter plane {x > 0, t > 0}. We propose a new method to compute the heat flux $h(t)=u_x(1,t)$ from the boundary temperature g(t) = u(1, t). The operator $g{\mapsto}h=Hg$ is unbounded in $L^2({\mathbb{R}})$, so we approximate h(t) by $h_{\delta}(t)=u_x(1+{\delta},\;t)$, ${\delta}{\rightarrow}0$. When noise is present, the data is $g_{\epsilon}$ leading to a corresponding heat $h_{{\delta},{\epsilon}}$. We obtain an estimate of the error ${\parallel}h-h_{{\delta},{\epsilon}}{\parallel}$, as well as the error when $h_{{\delta},{\epsilon}}$ is approximated by the trapezoidal rule. With an a priori choice rule ${\delta}={\delta}({\epsilon})$ and ${\tau}={\tau}({\epsilon})$, the step size of the trapezoidal rule, the main theorem gives the error of the heat flux as a function of noise level ${\epsilon}$. Numerical examples show that the proposed method is effective and stable.

균열닫힘현상을 고려한 피로균열전파식 (Fatigue Crack Growth Rate Equation by Crack Closure)

  • 김용수;강동명;신근하
    • 한국안전학회지
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    • 제6권4호
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    • pp.81-87
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    • 1991
  • We propose the crack growth rate equation which will model fatigue crack growth rate behavior such that constant stress amplitude fatigue crack growth behavior can be predicted. Constant stress amplitude fatigue tests are conducted for four materials under three stress ratios of R=0.2, R=0.4 and R=0.6. Materials which have different mechanical properties i.e. stainless steel, low carbon steel, medium carbon steel and aluminum alloy are used. Through constant stress amplitude fatigue test by using unloading elastic compliance method, it is confirmed that crack closure is a close relationship with fatigue crack propagation. We describe simply fatigue crack propagation behavior as a function of the effective stress intensity factor range ($\Delta$ $K_{eff}$=U .$\Delta$K) for all three regions (threshold region, stable region). The fatigue crack growth rate equation is given by da / dN=A($\Delta$ $K_{eff}$­$\Delta$ $K_{o}$ )$^{m}$ / ($\Delta$ $K_{eff}$­$\Delta$K) Where, A and m are material constants, and $\Delta$ $K_{o}$ is stress intensity factor range at low $\Delta$K region. $K_{cf}$ is critical fatigue stress intensity factor.actor.

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CONSTANTS FOR HARMONIC MAPPINGS

  • Jun, Sook Heui
    • 충청수학회지
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    • 제17권2호
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    • pp.163-167
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    • 2004
  • In this paper, we obtain some coefficient estimates of harmonic, orientation-preserving, univalent mappings defined on ${\Delta}$ = {z : |z| > 1}.

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무정형 고분자 재료의 비선형 유전특성 (Nonlinear Dielectric Properties of Amorphous copolymers)

  • 노일수;황중연;강대하;이덕출
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 D
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    • pp.1563-1565
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    • 1999
  • Linear and nonliear complex permittivities have been measured for amorphous copolymers of vinylidene cyanide (VDCN) with vinyl acetate (VAc), vinyl propionate (VPr), vinyl benzoate (VBz), styrene (St) and methyl methacrylate (MMA). It is found that the third order permittivity ${\varepsilon}_3$ depends upon frequency according to a function ${\Delta}_{{\varepsilon}_3}/(1+i{\omega}{\tau}_^3)$ while the linear permittivity obeys a Debye function ${\Delta}_{{\varepsilon}_1}/(1+i{\omega}{\tau}_1)$. Experimental results are well fitted by the above predicted functions except at low frequencies where dc conduction dominates. The ${\tau}_1$ and ${\tau}_3$ are nearly equal, and depend upon temperature according to a WLF form. The relaxation strength ${\Delta}_{{\varepsilon}_1}$ depends upon comonomers ranging from $130_{{\varepsilon}_0}$(VAc) to $20{{\varepsilon}_0}$(MMA). The ${\Delta}_{{\varepsilon}_3}$ is negative and depends more strongly upon comonomers. Combined knowledge about linear and nonlinear permittivities predicts very large correlation factors which indicates strongly cooperative dipolar motions in those amorphous copolymers.

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Proteasome Function Is Inhibited by Polyglutamine-expanded Ataxin-1, the SCA1 Gene Product

  • Park, Yongjae;Hong, Sunghoi;Kim, Sung-Jo;Kang, Seongman
    • Molecules and Cells
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    • 제19권1호
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    • pp.23-30
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    • 2005
  • Spinocerebellar ataxia type 1 (SCA1) is an autosomal-dominant neurodegenerative disorder caused by expansion of the polyglutamine tract in the SCA1 gene product, ataxin-1. Using d2EGFP, a short-lived enhanced green fluorescent protein, we investigated whether polyglutamine-expanded ataxin-1 affects the function of the proteasome, a cellular multicatalytic protease that degrades most misfolded proteins and regulatory proteins. In Western blot analysis and immunofluorescence experiments, d2EGFP was less degraded in HEK 293T cells transfected with ataxin-1(82Q) than in cells transfected with lacZ or empty vector controls. To test whether the stability of the d2EGFP protein was due to aggregation of ataxin-1, we constructed a plasmid carrying $ataxin-1-{\Delta}114$, lacking the self-association region (SAR), and examined degradation of the d2EGFP. Both the level of $ataxin-1-{\Delta}114$ aggregates and the amount of d2EGFP were drastically reduced in cells containing $ataxin-1-{\Delta}114$. Furthermore, d2EGFP localization experiments showed that polyglutamine-expanded ataxin-1 inhibited the general function of the proteasome activity. Taken together, these results demonstrate that polyglutamine-expanded ataxin-1 decreases the activity of the proteasome, implying that a disturbance in the ubiquitin-proteasome pathway is directly involved in the development of spinocerebellar ataxia type1.

(m, n)-CLOSED δ-PRIMARY IDEALS IN AMALGAMATION

  • Mohammad Hamoda;Mohammed Issoual
    • 대한수학회논문집
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    • 제39권3호
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    • pp.575-583
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    • 2024
  • Let R be a commutative ring with 1 ≠ 0. Let Id(R) be the set of all ideals of R and let δ : Id(R) → Id(R) be a function. Then δ is called an expansion function of the ideals of R if whenever L, I, J are ideals of R with J ⊆ I, then L ⊆ δ (L) and δ (J) ⊆ δ (I). Let δ be an expansion function of the ideals of R and m ≥ n > 0 be positive integers. Then a proper ideal I of R is called an (m, n)-closed δ-primary ideal (resp., weakly (m, n)-closed δ-primary ideal ) if am ∈ I for some a ∈ R implies an ∈ δ(I) (resp., if 0 ≠ am ∈ I for some a ∈ R implies an ∈ δ(I)). Let f : A → B be a ring homomorphism and let J be an ideal of B. This paper investigates the concept of (m, n)-closed δ-primary ideals in the amalgamation of A with B along J with respect to f denoted by A ⋈f J.

MULTIPLICITY OF SOLUTIONS FOR BIHARMONIC ELLIPTIC SYSTEMS INVOLVING CRITICAL NONLINEARITY

  • Lu, Dengfeng;Xiao, Jianhai
    • 대한수학회보
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    • 제50권5호
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    • pp.1693-1710
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    • 2013
  • In this paper, we consider the biharmonic elliptic systems of the form $$\{{\Delta}^2u=F_u(u,v)+{\lambda}{\mid}u{\mid}^{q-2}u,\;x{\in}{\Omega},\\{\Delta}^2v=F_v(u,v)+{\delta}{\mid}v{\mid}^{q-2}v,\;x{\in}{\Omega},\\u=\frac{{\partial}u}{{\partial}n}=0,\; v=\frac{{\partial}v}{{\partial}n}=0,\;x{\in}{\partial}{\Omega},$$, where ${\Omega}{\subset}\mathbb{R}^N$ is a bounded domain with smooth boundary ${\partial}{\Omega}$, ${\Delta}^2$ is the biharmonic operator, $N{\geq}5$, $2{\leq}q$ < $2^*$, $2^*=\frac{2N}{N-4}$ denotes the critical Sobolev exponent, $F{\in}C^1(\mathbb{R}^2,\mathbb{R}^+)$ is homogeneous function of degree $2^*$. By using the variational methods and the Ljusternik-Schnirelmann theory, we obtain multiplicity result of nontrivial solutions under certain hypotheses on ${\lambda}$ and ${\delta}$.

On Some New Generalized Di erence Statistically Convergen Sequence Spaces De ned by a Sequence of Orlicz Function

  • Bekt, Cigdem Asma;Atici, Gulcan
    • Kyungpook Mathematical Journal
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    • 제50권3호
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    • pp.389-397
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    • 2010
  • In this paper we introduce the new generalized difference sequence space $\ell_\infty$($\Delta_v^n$, M,p,q,s), $\bar{c}$($\Delta_v^n$,M,p,q,s), $\bar{c_0}$($\Delta_v^n$,M,p,q,s), m($\Delta_v^n$,M,p,q,s) and $m_0$($\Delta_v^n$,M,p,q,s) defined over a seminormed sequence space (X,q). We study some of it properties, like completeness, solidity, symmetricity etc. We obtain some relations between these spaces as well as prove some inclusion result.

A 1.2-V 0.18-${\mu}m$ Sigma-Delta A/D Converter for 3G wireless Applications

  • Kim, Hyun-Joong;Jung, Tae-Sung;Yoo, Chang-sik
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2006년도 하계종합학술대회
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    • pp.627-628
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    • 2006
  • A low-voltage switched-capacitor $2^{nd}$-order $\Sigma\Delta$ modulator using full feed-forward is introduced. It has two advantages: the unity signal transfer function and reduced signal swings inside the $\Sigma\Delta$ loop. These features greatly relax the DC gain and output swing requirements for Op-Amp in the low-voltage $\Sigma\Delta$ modulator. Implemented by a 0.18-${\mu}m$ CMOS technology, the $\Sigma\Delta$ modulator satisfies performance requirements for WCDMA and CDMA2000 standards.

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