• Title/Summary/Keyword: Differential transformation

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Oscillatory Behavior of Linear Neutral Delay Dynamic Equations on Time Scales

  • Saker, Samir H.
    • Kyungpook Mathematical Journal
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    • v.47 no.2
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    • pp.175-190
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    • 2007
  • By employing the Riccati transformation technique some new oscillation criteria for the second-order neutral delay dynamic equation $$(y(t)+r(t)y({\tau}(t)))^{{\Delta}{\Delta}}+p(t)y(\delta(t))=0$$, on a time scale $\mathbb{T}$ are established. Our results as a special case when $\mathbb{T}=\mathbb{R}$ and $\mathbb{T}=\mathbb{N}$ improve some well known oscillation criteria for second order neutral delay differential and difference equations, and when $\mathbb{T}=q^{\mathbb{N}}$, i.e., for second-order $q$-neutral difference equations our results are essentially new and can be applied on different types of time scales. Some examples are considered to illustrate the main results.

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The Differential Becoming and Transformation of a Region through the Life-world of Women-A Case Study of Seongnam City- (성남시 여성의 생활세계를 통해서 본 지역의 차별적 생성과 변화)

  • 이윤호
    • Journal of the Korean Geographical Society
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    • v.35 no.4
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    • pp.599-619
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    • 2000
  • 본 연구는 지난 30여 년 동안 두 번의 신도시개발 정책으로 인하여 이원적 도시구조를 지니게 된 성남시의 차별적 생성과 변화를 행위주체자로서 여성을 선택하여 그들의 생활세계-생활사, 사회.경제적 배경, 지역정체성, 지역사회의 관계, 일상과 생활공간-를 통하여 공간과 사회와의 관계에서 경험적으로 입증하고자 하였다. 그 결과 성남시는 차별성을 지닌 두 지역사회를 생성하게 되었으며, 각 장소의 행위주체자(여성)의 생활세계에 있어서도 차별적 특성을 나타내어 기존시가지 주부들은 신시가지에 <가까이 하려는> 경향을, 신시간지 주부들는 <구별짓기>의 경향을 나타내고 있었다. 또한 전업주부의 일상생활을 통해서 볼 때 기존시가지의 경우에는 오전에는 주로 부업활동에, 오후에는 주변 이웃과의 교제활동을 주로 함으로써 자신의 거주지를 생산현장으로서의 공간으로 형성해 가고 있는 반면 신시가지 주부들은 오전에는 사적인 생활 즉 여가활동에, 오후에는 자녀교육활동에 참여하는 등 자신의 거주지를 소비현장으로서의 공간으로 형성해 가고 있었다.

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White lesions of the oral mucosa (임상가를 위한 특집 3 - 구강점막의 백색 병소)

  • Yoon, Hye-Jung
    • The Journal of the Korean dental association
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    • v.50 no.12
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    • pp.732-742
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    • 2012
  • White lesions of the oral mucosa are a common clinical finding that often present first to general dentist. Some white lesion may have possibility of malignancy. Leukoplakia is the most common "potentially malignant disorder" of the oral mucosa. Leukoplakia is at present defined as "A white plaque of questionable risk having excluded (other) known disease or disorders that carry no increased risk for cancer.". Therefore, it is important for general dentist to be familiar to clinical differential diagnosis of leukoplakia from the known white lesions such as candidiasis, lichen planus, leukoedema, frictional keratosis, and so on. It is also important to decide whether such lesions require further investigation through the biopsy. As a result of biopsy, the presence of epithelial dysplasia in the leukoplakia is still the strongest predictor of future malignant transformation. In this article, oral white lesions that must be differentiated from potentially malignant disorders or early invasive squamous cell carcinoma will be reviewed together with presenting clinical cases.

ON THE OSCILLATION OF SECOND-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS ON TIME SCALES

  • Zhang, Quanxin;Sogn, Xia;Gao, Li
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.219-234
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    • 2012
  • By using the generalized Riccati transformation and the inequality technique, we establish some new oscillation criterion for the second-order nonlinear delay dynamic equations $$(a(t)(x^{\Delta}(t))^{\gamma})^{\Delta}+q(t)f(x({\tau}(t)))=0$$ on a time scale $\mathbb{T}$, here ${\gamma}{\geq}1$ is the ratio of two positive odd integers with $a$ and $q$ real-valued positive right-dense continuous functions defined on $\mathbb{T}$. Our results not only extend and improve some known results, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation.

Computational Method for Dynamic Analysis of Constrained Mechanical Systems Using Partial Velocity Matrix Transformation

  • Park, Jung-Hun;Yoo, Hong-Hee;Hwang, Yo-Ha
    • Journal of Mechanical Science and Technology
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    • v.14 no.2
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    • pp.159-167
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    • 2000
  • A computational method for the dynamic analysis of a constrained mechanical system is presented in this paper. The partial velocity matrix, which is the null space of the Jacobian of the constraint equations, is used as the key ingredient for the derivation of reduced equations of motion. The acceleration constraint equations are solved simultaneously with the equations of motion. Thus, the total number of equations to be integrated is equivalent to that of the pseudo generalized coordinates, which denote all the variables employed to describe the configuration of the system of concern. Two well-known conventional methods are briefly introduced and compared with the present method. Three numerical examples are solved to demonstrate the solution accuracy, the computational efficiency, and the numerical stability of the present method.

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The influence of different support movements and heights of piers on the dynamic behavior of bridges -Part I: Earthquake acting transversely to the deck

  • Michaltsos, George T.;Raftoyiannis, Ioannis G.
    • Interaction and multiscale mechanics
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    • v.2 no.4
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    • pp.431-454
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    • 2009
  • This paper presents a simple model for studying the dynamic response of multi-span bridges resting on piers with different heights and subjected to earthquake forces acting transversely to the bridge, but varying spatially along its length. The analysis is carried out using the modal superposition technique, while the solution of the resulting integral-differential equations is obtained via the Laplace transformation. It has been found that the piers' height and the quality of the foundation soil can affect significantly the dynamic behavior of such bridges. Typical examples showing the effectiveness of the method are presented with useful results listed.

Procedures for determination of elastic curve of simply and multiple supported beams

  • Biro, Istvan;Cveticanin, Livija
    • Structural Engineering and Mechanics
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    • v.60 no.1
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    • pp.21-30
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    • 2016
  • In this paper two procedures for determination of the elastic curve of the simply and multiple supported beams are developed. Determination of the elastic curve is complex as it requires to solve a strong nonlinear differential equation with given boundary conditions. For numerical solution the initial guess of the slope at the end of the beam is necessary. Two procedures for obtaining of the initial guess are developed: one, based on transformation of the supported beam into a clamped-free one, and second, on the linearization of the problem. Procedures are applied for calculating of elastic curve of a simply supported beam and a beam with three supports. Obtained results are compared. Advantages and disadvantages of both methods are discussed. It is proved that both suggested procedures give us technically accurate results.

A study on the solution of inverse jacobian for TOP-1 (TOP-1 로보트의 Inverse Jacobian의 해)

  • 우상래;이재섭;김형래
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.304-309
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    • 1986
  • This paper is about the Inverse Jacobian for the TOP-1 robot. The robot Jacobian is used for the movement in accordance with differental changes. A Matrix and Homogeneous Transformation Matrix, Differential Motion Vector D are applied to Jacobian equation for the movement of the robot in accordance with the minut changes. The solution of Jacobian equation is acquired and applied for the subtle movement of each arms of the robot. The interface with APPLE-II Micro-computer is searched out too. The Software and the interface resulted from this paper are considered to be higly useful in the accurate control on the robot when they are linked with dynamics of robot.

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On Using the Human Visual System Model for Subband Coding (시각 시스템 모델을 이용한 Subband 코딩)

  • 박용철;김근숙;차일환;윤대희
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.6
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    • pp.937-943
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    • 1990
  • In this paper, a subband coding scheme using the human visual system(HVS) model for encoding monochrome images is proposed to produce perceptually higher quality images compared with the regular subband coding scheme. The proposed approach first transforms the intensity image to the density image by a point nonlinear transformation. A frequency band dexomposition of the density image is carried out by means of 2-D seaprable quadrature mirror filters, which split the density image spectrum into 16 equall rate subbands. Bits are allocated among the subbands to minimize the weighted mean squar error (WMSE) for differential pulse code modulation(DPCM) coding of the subbands. The weight for each subband is calculated from the modulation transfer function (MTF) of the HVS model at corresponding frequencies. The performances of the proposed approach are evaluated for 256 * 256 monochrome images at the bit rates of 0.5, 0.75 and 1.0 bita per pixel. Computer simulation results indicate that using the HVS model yields more pleasing reconstructed images than regular subband coding approach which does not use HVS model.

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Heat Treatment Analysis on Low-Alloy Steel (저합금강 소재의 열처리해석 기술개발)

  • Choi Y. S.;Kwak S. Y.;Choi J. K.;Kim J. T.
    • Transactions of Materials Processing
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    • v.14 no.3 s.75
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    • pp.215-223
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    • 2005
  • A numerical analysis program is developed by FDM scheme for the prediction of microstructural transformation during heat treatment of steels. In this study, multi-phase model was used fur description of diffusional austenite transformations in low-alloy hypoeutectoid steels during cooling after austenitization. A fundamental property of the model consisting of coupled differential equations is that by taking into account the rate of austenite grain growth, it permits the prediction of the progress of ferrite, pearlite, and bainite transformations simultaneously during quenching and estimate the amount of martensite also by using K-M eq. In order to simulate the microstructural evolution during tempering process, another Avrami-type eq. was adopted and method for vickers hardness prediction was also proposed. To verify the developed program, the calculated results are compared with experimental ones of casting product. Based on these results, newly designed heat treatment process is proposed and it was proved to be effective for industry.