• Title/Summary/Keyword: Derivative values

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Identification of moving train loads on railway bridge based on strain monitoring

  • Wang, Hao;Zhu, Qingxin;Li, Jian;Mao, Jianxiao;Hu, Suoting;Zhao, Xinxin
    • Smart Structures and Systems
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    • v.23 no.3
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    • pp.263-278
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    • 2019
  • Moving train load parameters, including train speed, axle spacing, gross train weight and axle weights, are identified based on strain-monitoring data. In this paper, according to influence line theory, the classic moving force identification method is enhanced to handle time-varying velocity of the train. First, the moments that the axles move through a set of fixed points are identified from a series of pulses extracted from the second derivative of the structural strain response. Subsequently, the train speed and axle spacing are identified. In addition, based on the fact that the integral area of the structural strain response is a constant under a unit force at a unit speed, the gross train weight can be obtained from the integral area of the measured strain response. Meanwhile, the corrected second derivative peak values, in which the effect of time-varying velocity is eliminated, are selected to distribute the gross train weight. Hence the axle weights could be identified. Afterwards, numerical simulations are employed to verify the proposed method and investigate the effect of the sampling frequency on the identification accuracy. Eventually, the method is verified using the real-time strain data of a continuous steel truss railway bridge. Results show that train speed, axle spacing and gross train weight can be accurately identified in the time domain. However, only the approximate values of the axle weights could be obtained with the updated method. The identified results can provide reliable reference for determining fatigue deterioration and predicting the remaining service life of railway bridges.

Design and Synthesis of an Anticancer Diarylurea Derivative with Multiple-Kinase Inhibitory Effect

  • El-Gamal, Mohammed I.;Oh, Chang-Hyun
    • Bulletin of the Korean Chemical Society
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    • v.33 no.5
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    • pp.1571-1576
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    • 2012
  • A diarylurea compound 1 possessing pyrrolo[3,2-$c$]pyridine nucleus was designed and synthesized with structure similarity to Sorafenib. Compound 1 was tested over 60-cancer cell line panel at a single dose concentration of 10 ${\mu}M$ and showed high activity. It was further tested in a five-dose mode to determine its $IC_{50}$, TGI, and $LC_{50}$ values over the 60 cell lines. Compound 1 showed high potency and good efficacy, and was accordingly tested at a single dose concentration of 10 ${\mu}M$ over a panel of 40 kinases. At this concentration, it completely inhibited the enzymatic activities of a number of oncogenic kinases, including ABL, ALK, c-RAF, FLT3, KDR, and TrkB. The target compound was subsequently tested over these 6 kinases in 10-dose testing mode in order to determine its $IC_{50}$ values.

The Clinical Study of Delayed Growth(I) (성장장애(成長障碍)에 관(關)한 임상적(臨床的) 연구(硏究)(I))

  • Kim Jang-Hyun
    • The Journal of Pediatrics of Korean Medicine
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    • v.12 no.1
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    • pp.95-110
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    • 1998
  • I intended to be helpful to understand significant cause for treated patients comed to Dept of Pediatrics growth clinic in short stature of delayed growth and effect of oriental medical therapy. I studied at first 54 patients(36 men and 18 women) comed to Dept. of Pediatrics growth clinic of Dongguk Pundang Oriental Hospital and investigated characteristics, remidial value and side effect which 20 patients(1l men and 9 women) treated oriental medical therapy in short stature of delayed growth between June 1997 and October 1998. First study resulted the average was 8.37 year(chronological age), 6.96 year(bone age), 15.43 (height percentile by age), 164.2 cm(mid parental height) and the ratio of using the prescription was Bojunggunatang-derivative at first. second study resulted the distribusions of remedial values were improved(55.0%) and no improved(45.0%) patients. remedial values was affected by appetite.

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Stereo Matching Method using Directional Feature Vector (방향성 특징벡터를 이용한 스테레오 정합 기법)

  • Moon, Chang-Gi;Jeon, Jong-Hyun;Ye, Chul-Soo
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.1
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    • pp.52-57
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    • 2007
  • In this paper we proposed multi-directional matching windows combined by multi-dimensional feature vector matching, which uses not only intensity values but also multiple feature values, such as variance, first and second derivative of pixels. Multi-dimensional feature vector matching has the advantage of compensating the drawbacks of area-based stereo matching using one feature value, such as intensity. We define matching cost of a pixel by the minimum value among eight multi-dimensional feature vector distances of the pixels expanded in eight directions having the interval of 45 degrees. As best stereo matches, we determine the two points with the minimum matching cost within the disparity range. In the experiment we used aerial imagery and IKONOS satellite imagery and obtained more accurate matching results than that of conventional matching method.

Numerical Computation of Ultra-High-Degree Legendre Function

  • Kwon, Jay-Hyoun;Lee, Jong-Ki
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.25 no.1
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    • pp.63-68
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    • 2007
  • The computations of an ultra-high degree associated Legendre functions and its first derivative up to degree and order of 10800 are reported. Not only the magnitude of orders for the ultra-high degree calculation is presented but the numerical stability and accuracy of the computed values are described in detail. The accuracy on the order of $10^{-25}\;and\;10^{-15}$ was obtained for the values of Legendre function and the first derivatives of Legendre functions, respectively. The computable highest degree and order of Legendre function in terms of latitudes and the linear relationship between the magnitude of the function with respect to degrees and orders is found. It is expected that the computed Legendre functions contribute in many geodetic and geophysical applications for simulations as well as theoretical verifications.

Function Approximation Using an Enhanced Two-Point Diagonal Quadratic Approximation (개선된 이점 대각 이차 근사화를 이용한 함수 근사화)

  • Kim, Jong-Rip;Kang, Woo-Jin;Choi, Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.4
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    • pp.475-480
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    • 2004
  • Function approximation is one of the most important and active research fields in design optimization. Accurate function approximations can reduce the repetitive computational effort fur system analysis. So this study presents an enhanced two-point diagonal quadratic approximation method. The proposed method is based on the Two-point Diagonal Quadratic Approximation method. But unlike TDQA, the suggested method has two quadratic terms, the diagonal term and the correction term. Therefore this method overcomes the disadvantage of TDQA when the derivatives of two design points are same signed values. And in the proposed method, both the approximate function and derivative values at two design points are equal to the exact counterparts whether the signs of derivatives at two design points are the same or not. Several numerical examples are presented to show the merits of the proposed method compared to the other forms used in the literature.

HERMITE-TYPE EXPONENTIALLY FITTED INTERPOLATION FORMULAS USING THREE UNEQUALLY SPACED NODES

  • Kim, Kyung Joong
    • Communications of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.303-326
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    • 2022
  • Our aim is to construct Hermite-type exponentially fitted interpolation formulas that use not only the pointwise values of an 𝜔-dependent function f but also the values of its first derivative at three unequally spaced nodes. The function f is of the form, f(x) = g1(x) cos(𝜔x) + g2(x) sin(𝜔x), x ∈ [a, b], where g1 and g2 are smooth enough to be well approximated by polynomials. To achieve such an aim, we first present Hermite-type exponentially fitted interpolation formulas IN built on the foundation using N unequally spaced nodes. Then the coefficients of IN are determined by solving a linear system, and some of the properties of these coefficients are obtained. When N is 2 or 3, some results are obtained with respect to the determinant of the coefficient matrix of the linear system which is associated with IN. For N = 3, the errors for IN are approached theoretically and they are compared numerically with the errors for other interpolation formulas.

Comparative Studies of Methods for Continuation and Derivatives of Potential Fields (포텐셜장(場)의 상하향연속(上下向連續) 및 미분법(微分法)에 대(對)한 비교연구(比較硏究))

  • Kwon, Byung Doo
    • Economic and Environmental Geology
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    • v.14 no.2
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    • pp.93-102
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    • 1981
  • Studies of model potential fields continued upward and downward show differences depending on the method of continuation. Beginning with a magnetic field computed over a buried vertical cylinder, the field was continued to various levels by a method introduced by Henderson (Lagrangian interpolation) and by a spectral method (frequency domain analysis). Resultant fields show (1) no significant differences in upward continued values, (2) in downward continuation, accurate values are obtained with the spectral method over the central part of the anomaly, and (3) accurate values are obtained with Henderson's method on the flanks of the anomaly, while oscillations usually characterize the spectral method in this region. Essentially the same observations are made for derivative calculations. Field oscillations are empirically predicted at levels continued to approximately two-thirds of the depth of the source. Our spectral computer program output yields marked oscillations at one-half of the depth of the source. Henderson's method shows no oscillations at this depth and only minor oscillations at the top of the body (some negative values appear on the flanks of the anomaly). The Henderson output is a smooth field even if continued below the top of the body. These results suggest that the presence of oscillations cannot be used to identify the top of a buried source without careful consideration of the method used to continue the field. Use of the derivative to outline and isolate anomalies must similarly include consideration of the method of calculation.

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Automated Lineament Extraction and Edge Linking Using Mask Processing and Hough Transform.

  • Choi, Sung-Won;Shin, Jin-Soo;Chi, Kwang-Hoon;So, Chil-Sup
    • Proceedings of the KSRS Conference
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    • 1999.11a
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    • pp.411-420
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    • 1999
  • In geology, lineament features have been used to identify geological events, and many of scientists have been developed the algorithm that can be applied with the computer to recognize the lineaments. We choose several edge detection filter, line detection filters and Hough transform to detect an edge, line, and to vectorize the extracted lineament features, respectively. firstly the edge detection filter using a first-order derivative is applied to the original image In this step, rough lineament image is created Secondly, line detection filter is used to refine the previous image for further processing, where the wrong detected lines are, to some extents, excluded by using the variance of the pixel values that is composed of each line Thirdly, the thinning process is carried out to control the thickness of the line. At last, we use the Hough transform to convert the raster image to the vector one. A Landsat image is selected to extract lineament features. The result shows the lineament well regardless of directions. However, the degree of extraction of linear feature depends on the values of parameters and patterns of filters, therefore the development of new filter and the reduction of the number of parameter are required for the further study.

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Two-dimensional modelling of uniformly doped silicene with aluminium and its electronic properties

  • Chuan, M.W.;Wong, K.L.;Hamzah, A.;Rusli, S.;Alias, N.E.;Lim, C.S.;Tan, M.L.P.
    • Advances in nano research
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    • v.9 no.2
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    • pp.105-112
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    • 2020
  • Silicene is a two-dimensional (2D) derivative of silicon (Si) arranged in honeycomb lattice. It is predicted to be compatible with the present fabrication technology. However, its gapless properties (neglecting the spin-orbiting effect) hinders its application as digital switching devices. Thus, a suitable band gap engineering technique is required. In the present work, the band structure and density of states of uniformly doped silicene are obtained using the nearest neighbour tight-binding (NNTB) model. The results show that uniform substitutional doping using aluminium (Al) has successfully induced band gap in silicene. The band structures of the presented model are in good agreement with published results in terms of the valence band and conduction band. The band gap values extracted from the presented models are 0.39 eV and 0.78 eV for uniformly doped silicene with Al at the doping concentration of 12.5% and 25% respectively. The results show that the engineered band gap values are within the range for electronic switching applications. The conclusions of this study envisage that the uniformly doped silicene with Al can be further explored and applied in the future nanoelectronic devices.