• Imaging Science in Dentistry
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• 제46권1호
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• pp.1-7
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• 2016

Purpose: This study assessed the accuracy of age estimates produced by a regression equation derived from lower third molar development in a Thai population. Materials and Methods: The first part of this study relied on measurements taken from panoramic radiographs of 614 Thai patients aged from 9 to 20. The stage of lower left and right third molar development was observed in each radiograph and a modified Gat score was assigned. Linear regression on this data produced the following equation: Y=9.309+1.673 mG+0.303S (Y=age; mG=modified Gat score; S=sex). In the second part of this study, the predictive accuracy of this equation was evaluated using data from a second set of panoramic radiographs (539 Thai subjects, 9 to 24 years old). Each subject's age was estimated using the above equation and compared against age calculated from a provided date of birth. Estimated and known age data were analyzed using the Pearson correlation coefficient and descriptive statistics. Results: Ages estimated from lower left and lower right third molar development stage were significantly correlated with the known ages (r=0.818, 0.808, respectively, $P{\leq}0.01$). 50% of age estimates in the second part of the study fell within a range of error of ${\pm}1year$, while 75% fell within a range of error of ${\pm}2years$. The study found that the equation tends to estimate age accurately when individuals are 9 to 20 years of age. Conclusion: The equation can be used for age estimation for Thai populations when the individuals are 9 to 20 years of age.

• 대한기계학회논문집A
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• 제27권5호
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• pp.789-797
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• 2003

In the procedure of the hydraulic control system design, a linearized approximate equation described by the first order terms of Taylor series has been widely used. Such a linearized equation is effective just near the operating point, However, pressure and flowrate in actual hydraulic systems are usually not confined near an operating point. This study suggests a new linearized flow equation for a servovalve as a modified form of the conventional linearized flow equation. Subsequently, a procedure to determine effective operating point for the new linearized equation is proposed. From the evaluations of time responses and frequency responses obtained from simulations for a hydraulic control system, the effectiveness of the new linearized equation and the procedure to determine effective operating point is confirmed.

• 충청수학회지
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• 제10권1호
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• pp.109-116
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• 1997

In this paper, we prove a generalization of the stability by s. M. Jung[3] of the functional equation $f(x^2-y^2+rxy)=f(x^2)-f(y^2)+rf(xy)$, which can be considered as a variation of the Hosszu's functional equation.

• Journal of applied mathematics & informatics
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• 제29권5_6호
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• pp.1477-1487
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• 2011

We propose a numerical method for solving Allen-Cahn equation, in both one-dimensional and two-dimensional cases. The new scheme that is explicit, stable, and easy to compute is obtained and the proposed method provides a straightforward and effective way for nonlinear evolution equations.

• Journal of applied mathematics & informatics
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• 제29권1_2호
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• pp.23-37
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• 2011

In this paper, we use a modified Tikhonov regularization method to solve the Fredholm integral equation of the first kind. Under the assumption that measured data are contaminated with deterministic errors, we give two error estimates. The convergence rates can be obtained under the suitable choices of regularization parameters and the number of measured points. Some numerical experiments show that the proposed method is effective and stable.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집A
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• pp.628-635
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• 2001

Hydrodynamic behavior and response of vertical-cylindrical liquid-storage tank is considered. The equation of the liquid motion is shown by Laplace's differential equation with the fluid velocity potential. The solution of the Laplace's differential equation of the liquid motion is expressed with the modified Bessel functions. Only rigid tank is studied. The effective masses and heights for the tank contents are presented for engineering design model.

• Tribology and Lubricants
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• 제31권3호
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• pp.109-124
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• 2015

This paper presents a wear analysis procedure for the journal bearings on a stripped-down single-cylinder engine during start-up and coast-down by motoring. A journal bearing is in the mixed elastohydrodynamic (EHL) lubrication region when the shaft speed is less than the corresponding lift-off speed. Below the lift-off speed, a wear scar can form on bearing surfaces. In part 1 of this paper, we develop the appropriate formulations and the calculation procedure for the analysis. Specifically, we formulate an equation for modified film thickness in a journal bearing considering the additional wear volume. In order to obtain the modified specific wear rate induced by the modified Archard’s wear coefficient, we utilized the extended non-dimensional diagram for the specific wear rate, k, the fractional film defect coefficient, Ψ and the asperity load sharing factor, γ₂. This asperity load sharing factor is newly calculated by setting the Zhao-Maietta-Chang (ZMC) asperity contact pressure equation coupled with the central film thickness equation derived by using the ZMC asperity contact model equal to the modified central contact pressure derived by using the central (or maximum) contact pressure at the dry rough line-contact configuration. We can use the procedure introduced in this paper to determine the lifetime (or longterm) linear wear in radial journal bearings that is a result of repeated stop-start cycles.

• 폴리머
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• 제24권6호
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• pp.810-819
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• 2000

Poly(p-hydroxybenzoate) (PHB)/poly(ethylene terephthalate) (PET) 8/2 공중합 폴리에스터 액정고분자와 poly(ethylene 2,6-naphthalate) (PEN), PET를 용융방사하여 인장탄성률을 측정하고, 55$^{\circ}C$ ο-chlorophenol 에서 2시간 동안 모재인 PEN/PET부분을 용출시킨 후, 용출되지 않은 PHB 피브릴을 전자현미경으로 조사하였다. 모재고분자 속에 존재하는 피브릴이 단섬유일 때 적용하는 Halpin-Tsai식과 피브릴이 연속상일 경우 적용하는 혼합의 법칙을 사용하여 이론적인 탄성률을 계산하고, 측정된 탄성률과 비교하였다. 이론적 탄성률과 측정된 탄성률의 차이를 보정하기 위하여 무차원 점도비 상수 (K)를 정의하고, K를 적용하여 기존의 식을 변형하였다. 변형된 Halpin-Tsai식과 혼합의 법칙을 통해 계산된 이론적인 탄성률은 용융방사를 통해 제조된 복합재료의 탄성률 계산에 더 적합함을 확인하였다.

• 한국통신학회논문지
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• 제36권10A호
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• pp.809-815
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• 2011

본 논문에서는 고속 RS(Reed-Solomon) 복호기의 KES(Key Equation Solver) 블록 구현에 ME(Modified Euclidean) 알고리즘을 효율적으로 설계할 수 있는 구조를 제안하고 구현하였다. 제안된 구조에서는 각 PE(Processing Element) 블록을 제어하기 위해 새로운 상대변수를 정의하고 다항식으로 표현함으로써, 입출력 신호가 간단해지고, 차수계산회로가 필요 없기 때문에 회로의 복잡도를 줄일 수 있다. 또한, PE 회로가 오류 정정 능력 t와 무관하기 때문에, t가 증가함에 따라 KES 블록의 하드웨어 복잡도가 선형적으로 증가하는 장점을 가진다. 제안된 구조와 기존의 구조를 비교하기 위해, RS(255,239,8) 복호기에 대한 KES 블록을 구현하고, 0.13um CMOS cell library를 이용하여 합성하였다. 실험 결과로부터, 제안된 구조를 이용하여 적은 gate count로 고속 RS 복호기 구현이 가능함을 알 수 있다.

• 지질공학
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• 제15권3호
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• pp.269-280
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• 2005

Barton and Choubey(1977)가 제안한 표준 거 칠기 단면을 0.1mm 간격으로 수치화한 후 수정 분할자법을 이용하여 분할자 길이에 따른 단면의 길이를 측정하였다. 분할자 길이에 따른 단면의 길이를 log-log 그래프에 도시 한 후 직선회기 분석 을 통하여 표준 거 칠기 단면의 프랙탈 차원과 절편을 구하고, JRC와의 관계를 분석하였다. 정확한 프랙탈 차원을 계산할 수 있는 분할자의 길이 범위인 교차거리는 $0.3\sim2.4mm$ 내외이며, JRC는 프랙탈 차원보다는 절편과 더 높은 상관도를 보였다. 그러나 프랙탈 차원과 절편을 곱하였을 때 가장 좋은 상관도를 보였으며, 위의 결과를 이용하여 프랙탈 차원과 절편을 이 용한 새로운 IRC 추정식 을 도출하였다. 23개의 자연 암석 절리의 단면을 수치화하여 $Z_2$ 파라미터를 이용한 Tse and Cruden (1979) 식과 새로운 JRC 관계식으로 각 단면의 JRC를 계산하고 이를 비교하였다. 비교 결과 두 관계식으로 추정된 JRC는 매우 유사하여, 본 연구에 서 도출된 새로운 관계식은 IRC를 추정하는데 매우 유용할 것으로 판단된다.