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SAVITZKY-GOLAY DERIVATIVES : A SYSTEMATIC APPROACH TO REMOVING VARIABILITY BEFORE APPLYING CHEMOMETRICS

  • Hopkins, David W.
    • 한국근적외분광분석학회:학술대회논문집
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    • 한국근적외분광분석학회 2001년도 NIR-2001
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    • pp.1041-1041
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    • 2001
  • Removal of variability in spectra data before the application of chemometric modeling will generally result in simpler (and presumably more robust) models. Particularly for sparsely sampled data, such as typically encountered in diode array instruments, the use of Savitzky-Golay (S-G) derivatives offers an effective method to remove effects of shifting baselines and sloping or curving apparent baselines often observed with scattering samples. The application of these convolution functions is equivalent to fitting a selected polynomial to a number of points in the spectrum, usually 5 to 25 points. The value of the polynomial evaluated at its mid-point, or its derivative, is taken as the (smoothed) spectrum or its derivative at the mid-point of the wavelength window. The process is continued for successive windows along the spectrum. The original paper, published in 1964 [1] presented these convolution functions as integers to be used as multipliers for the spectral values at equal intervals in the window, with a normalization integer to divide the sum of the products, to determine the result for each point. Steinier et al. [2] published corrections to errors in the original presentation [1], and a vector formulation for obtaining the coefficients. The actual selection of the degree of polynomial and number of points in the window determines whether closely situated bands and shoulders are resolved in the derivatives. Furthermore, the actual noise reduction in the derivatives may be estimated from the square root of the sums of the coefficients, divided by the NORM value. A simple technique to evaluate the actual convolution factors employed in the calculation by the software will be presented. It has been found that some software packages do not properly account for the sampling interval of the spectral data (Equation Ⅶ in [1]). While this is not a problem in the construction and implementation of chemometric models, it may be noticed in comparing models at differing spectral resolutions. Also, the effects on parameters of PLS models of choosing various polynomials and numbers of points in the window will be presented.

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치근면 구연산 도포가 치주인대세포의 부착과 전개에 미치는 영향 (THE EFFECTS OF CITRIC ACID TREATED ROOT SURFACES ON THE ATTACHMENT AND PROLIFERATION OF PERIDONTAL LIGAMENT CELLS)

  • 이상구;서조영;박준봉
    • Journal of Periodontal and Implant Science
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    • 제23권1호
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    • pp.77-96
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    • 1993
  • 정상치아와 이환치아 및 구연산에 의하여 탈회한 치근면에대한 치주인대세포의 부착상태를 비교관찰 하기 위하여 정상치아와 이환치아를 취하여 정상군, 이환치근의 치근면활택술군 및 구연산처리군으로 분류하고 시험관적 실험을 통하여 관찰하였다. 세포부착실험전 각 군의 치근면의 형태를 주사전자현미경을 이용하여 관찰하였으며, 사람의 정상소구치에서부터 얻어진 치주인대세포를 배야하여 각 군의 절편을 함유한 조직배양기에 ml당 $4.5{\times}\;10^4$개의 세포를 가진 배양액 1ml씩을 넣고 동일조건하에서 30분, 1시간, 2시간, 6시간, 12시간 및 24시간 동안 배양한 후 세포의 부착이 일어난 후 상태를 주사전자현미경을 이용하여 관찰하였고, 세포증식정도를 알아보기 위하여 각 절편에 $5{\times}10^4$개의 세포가 함유된 배양액 1ml씩을 넣고 6시간동안 배양 후, 새 배양기에 옮기고 24, 48, 72시간동안 배양하여 trypsin 처리로 세포를 분리시킨 후 광학위상차 현미경을 이용, 치근단위면적당 증식된 세포수를 측정하여 다음과 같은 결과를 얻었다. 세포부착실험전 각 군의 치근면 형태를 관찰하였을 때 구연산처리군에서는 교원섬유의 노출부위라고 여겨지는 미세한 돌출구조들을 관찰할 수 있었으며 상아세관의 노출부위라고 여겨지는 함몰양상이 치근활택술군에 비하여 현저하였고 정상치아군에서는 이러한 양상을 관찰할 수 없었다. 실험 각 군 및 대조군 사이에서 세포들의 형태적인 차이점은 분명하지 않았으나 구연산처리군에서 다른 군들보다 초기의 세포부착양상이 다소 빠르게 진행 됨이 관찰되었다. 세포배양 개시 후 6시간이 경과 한 후에는 모든 군에서 공히 세포의 형태가 초기의 구형의 형태에서 편평한 세포의 형태로 변화되기 시작함이 관찰 되었고 24시간 이후에는 모든 군에서 세포들이 치근면에 납작하게 부착되고 일반적인 섬 유아세포의 형태로 변화되어 셰포의 전개가 완성된 양상이 보였다. 세포증식율의 실험에서는 24시간 후 증식된 세포 수는 치근면활택술군에서 가장높게 나타났으며 정상군에서 가장 낮은 수치를 보였으며 48시간 및 72시간후 측정에서는 구연산처리군이 다른 군들에 비해 더 많은 수의 세포증식을 관찰할 수 있었으며 각 군간의 차이는 통계학적으로 유의하였다.

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우수거 설계를 위한 인천지방에서의 확률강우강도식의 산정 (Determination of Probable Rainfall Intensity Formulas for Designing Storm Sewer Systems at Incheon District)

  • 안태진;김경섭
    • 상하수도학회지
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    • 제12권3호
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    • pp.99-106
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    • 1998
  • This paper presents a procedure for determining the design rainfall depth and the design rainfall intensity at Incheon city area in Korea. In this study the eight probability distributions are considered to estimate the probable rainfall depths for 11 different durations. The Kolmogorov - Smirnov test and the Chi-square test are adopted to test each distribution. The probable rainfall intensity formulas are then determined by i) the least squares (LS) method, ii) the least median squares (LMS) method, iii) the reweighted least squares method based on the LMS (RLS), and iv) the constrained regression (CR) model. The Talbot, the Sherman, the Japanese, and the Unified type are considered to determine the best type for the Incheon station. The root mean squared (RMS) errors are computed to test the formulas derived by four methods. It is found that the Unified type is the most reliable and that all methods presented herein are acceptable for determining the coefficients of rainfall intensity formulas from an engineering point of view.

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재료의 3차원 파괴거동에 대한 연구 (변위일정하의 관통균열인 경우) (Study on 3-Dimensional Fracture Behavior of Material)

  • 박정도;장영석;류홍열
    • 비파괴검사학회지
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    • 제11권1호
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    • pp.13-22
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    • 1991
  • In this paper, 3-dimensional fracture phenomena in the local area near a through notch tip located between the surface and the canter were investigated by using embedded dyeing grids with the pitch of $50.8{\mu}$. It was confirmed that displacement V and square root of distance from notch tip $y^{1/2}$ are not proportional in the local area of $\sqrt{{\mid}y{\mid}}\;<\;0.3mm^{1/2}$ and the maximum shea strain ${\varepsilon}_{xymax}$ near a notch tip occurred at the curvature beginning point of the notch curve. It was also noted that the maximum strain ${\varepsilon}_{xymax}$ in the thickness direction occurred at the interior, where the ratio of the distance measured from surface to the half of thickness of specimen is 0.3.

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제 3 대구치 발육의 연령감정에서의 응용에 관한 연구 (A Study on Development of the Third Molar as an Aid in Age Determination)

  • 이주장;김종열
    • Journal of Oral Medicine and Pain
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    • 제10권1호
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    • pp.53-62
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    • 1985
  • This study was undertaken to obtain the data for age determination following the calcification degree of the third molar in the point of forensic odontology. The orthopantomograms of 1399 male and 2517 female ranging from 7 to 22 years of age were studied. The developmental state of the third molar was divided into 12 stages following the calcification degree and the mean ages of stage was obtained and statistically analyzed. The results were as follows : 1. There was remarkable correlation between the development of the third molar and age. 2. There was no significant developmental difference between the right and left third molar. 3. The development of the third molar presents difference between the male and female in the crown formation stages, but it was retarded in female than male in the root formation stages. 4. At the age under 20 years, we can determine the age within the range of * 2 years by means of orthopantomogram.

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NURBS 곡면과 면적 사상법을 이용한 압출 금형곡면의 표현 방법에 관한 연구 (Investigation on the Description Method of Extrusion Die Surface using NURBS Surface and Area Mapping Method)

  • 유동진;권혁홍;임종훈
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 춘계학술대회논문집
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    • pp.343-346
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    • 2003
  • In order to construct the extrusion die surface of arbitrarily shaped sections, an automatic surface construction method based on NURBS surface and area mapping method is proposed in the present work. In the present study, a center point for area mapping is determined by introducing the marring concept based on constant area proportionality between original billet and final product. The characteristic points of inlet profile is determined using the traditional area mapping method and the root finding numerical method. The inlet and outlet profiles are precisely described with NURBS curves using the characteristic points of entry and exit sections. For the construction of NURBS surface, an interpolation method for the pre-determined two section curves has been developed to be used in the generation of interior control points and weights. To show the validity of the proposed method, automatic die surface generation is carried out for the several kinds of shaped sections.

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Design of a Digital PWM Controller for a Soft Switching SEPIC Converter

  • Nashed, Maged N.F.
    • Journal of Power Electronics
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    • 제4권3호
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    • pp.152-160
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    • 2004
  • This paper presents analysis, modeling, and design of a low-harmonic, isolated, active-clamped SEPIC for future avionics applications. Simpler converter dynamics, high switching frequency, zero voltage-Transition-PWM switching, and a single-layer transformer construction result. This paper describes complete design of a digital controller for a high-frequency switching power supply. Guidelines for the minimum required resolution of the analog-to-digital converter, the pulse-width modulator, and the fixed-point computational unit is derived. A design example based on a SEPIC converter operating at the high switching frequency is presented. The controller design is based on direct digital design approach and standard root-locus techniques.

마늘 재배적지분석을 위한 기온자료 공간보간기법 비교 (Comparison between Spatial Interpolation Methods of Temperature Data for Garlic Cultivation)

  • 김용완;홍석영;장민원
    • 한국농공학회논문집
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    • 제53권5호
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    • pp.1-7
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    • 2011
  • The objective of this study is to decide a spatial interpolation method on temperature data for the suitability analysis of garlic cultivation. In Korea, garlic is the second most cultivated condiment vegetable after red pepper. Nowadays warm-temperate garlic faces potential shift of its arable area according to warmer temperature in the Korean Peninsula, and the change can be drawn with the precise temperature map derived from interpolation on point-measured data. To find the preferable interpolation method in cases of germination and vegetative period of the garlic, different approaches were tested as follows: Inverse Distance Weighted (IDW), Spline, Ordinary Kriging (OK), and Universal Kriging (UK). As a result, IDW and UK show the lowest root mean square errors as for the germination and vegetative seasons, respectively. However, statistically significant difference was not revealed among the applied methods regarding the germinating period. Eventually this will contribute to mapping the suitable lands for the cultivation of warm-temperate garlic reasonably.

Earthquake response spectra estimation of bilinear hysteretic systems using random-vibration theory method

  • Yazdani, Azad;Salimi, Mohammad-Rashid
    • Earthquakes and Structures
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    • 제8권5호
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    • pp.1055-1067
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    • 2015
  • A theoretical procedure to estimate spectral displacement of a hysteretic oscillator with bilinear stiffness excited by band-limited excitation is presented. The stochastic method of ground-motion simulation is combined with the random vibration theory to compute linear and nonlinear structural response. The response is obtained by computing the root-mean-square oscillator response using dissipation energy balancing by integrating over all energy levels of system weighting with the stationary probability density of the energy. The results are presented in a convenient form, and the accuracy of the procedure is assessed by comparison with results obtained with the time-domain method using the recorded data. The model shows little or no bias at the structural period of engineering interest.

임펄스전압에 의한 수중방전특성에 대한 연구 (The Study of Underwater Discharge Characteristics against impulse voltage)

  • 이복희;최종혁;박건춘;이봉;김회구;이강수;안창환
    • 한국조명전기설비학회:학술대회논문집
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    • 한국조명전기설비학회 2007년도 춘계학술대회 논문집
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    • pp.271-273
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    • 2007
  • This paper presents the experimental results of underwater discharges in 25 mm point-plane gap caused by impulse voltage. Discharge phenomena were observed by digital cameras and recorded by oscilloscope. As a result, discharge patterns in positive and negative polarity have different shapes according to applied voltage amplitudes. The positive discharge is like root but the negative discharge is similar to bush. As the voltage is increased, the discharge routs are thick and have more branches. Also the time to breakdown is inversely proportional to voltage.

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