• Title/Summary/Keyword: Linear formula

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Study on Channel-bed Fluctuation Using Aerial Photographs(II) -Analysis of spatial-temporal distribution on the deposits- (항공사진(航空寫眞)을 이용(利用)한 하상변동(河床變動)에 관한 연구(硏究)(II) -하상퇴적지(河床堆積地)의 시(時)·공간적(空間的) 분포(分布) 해석(해석)-)

  • Chun, Kun Woo;Kim, Kyoung Nam;Cha, Du Song
    • Journal of Korean Society of Forest Science
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    • v.84 no.3
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    • pp.369-376
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    • 1995
  • Black and White aerial photogrphs are much useful to obtain the information on the channel-bed fluctuation in the following aspects. 1. In the decision of river width, the linear regression formula between the value of aerial photograph interpretation and that of field surveying is Y=1.0+0.94X(the decision coefficient is $r^2=0.98$). Therefore, aerial photographs are proved effective for the measurement of river width. 2. Aerial photograph interpretation makes it possible to classify the plane channel and the deposits in river, and suggests the situation of the plane distribution of deposits, the size of channel and the course of channel formation. 3. The periodical channel situation can be figured out through the interpretation of aerial photographs pictured in different times. Also, the comparing and analyzing each interpretated information can be able to guess the course of the variation of channel influencing powerfully channel - bed fluctuation. 4. The microtopographic map of river can be made through the decision of river with, the interpretation of the plane shape of channel - bed and the analysis of variation of channel. On the basis of this map, the plane analysis of deposit is possible.

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AN EXPERIMENTAL STUDY ON THE STRESS DISTRIBUTION IN THE PERIODONTAL LIGAMENT (치주인대의 응력 분포 양상에 관한 실험 연구)

  • Choy, Kwang-Chul;Kim, Kyung-Ho;Park, Young-Chel;Han, Jung-Yun
    • The korean journal of orthodontics
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    • v.31 no.1 s.84
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    • pp.15-24
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    • 2001
  • In order to achieve a desirable tooth movement, it is of great importance to control the M/F ratio and to know the location of the center of resistance. The purpose of this study was to locate the center of resistance and the axis of rotation, and to estimate the stress distribution in the periodontal ligament with experimental model. After preparing a model of an upper canine with a simulated periodontal ligament and alveolar bone, the force and moment were applied. The tooth movement was traced using measuring device with LVDTs(Linear variable differential transformers) that can measure three dimensional tooth movement in real time. The results were as follows. 1. The location of center of resistance by transverse force was $29\%$ of root length measured from alveolar crest to apex regardless of force magnitude. The position of the center of resistance is more coronal than that of two-dimensional model($42\%$). 2. The center of resistance and the axis of rotation coincide when couple moment was applied. 3. As the magnitude of moment increases, tooth tends to extrude irrespective of the direction of the moment. 4. The relationship between location of force and axis of rotation (a x b = $49.6\;mm^2$) was obtained. A tooth movement can be predicted through this formula. 5. The centers of rotation by transverse force were plotted linearly.

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An Estimation of Flood Quantiles at Ungauged Locations by Index Flood Frequency Curves (지표홍수 빈도곡선의 개발에 의한 미 계측지점의 확률 홍수량 추정)

  • Yoon, Yong-Nam;Shin, Chang-Kun;Jang, Su-Hyung
    • Journal of Korea Water Resources Association
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    • v.38 no.1
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    • pp.1-9
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    • 2005
  • The study shows the possible use of the index flood frequency curves for an estimation of flood quantiles at ungauged locations. Flood frequency analysis were made for the annual maximum flood data series at 9 available stations in the Han river basin. From the flood frquency curve at each station the mean annual flood of 2.33-year return period was determined and the ratios of the flood magnitude of various return period to the mean annual flood at each station were averaged throughout the Han river basin, resulting mean flood ratios of different return periods. A correlation analysis was made between the mean annual flood and physiographic parameters of the watersheds i.e, the watershed area and mean river channel slope, resulting an empirical multiple linear regression equation over the whole Han river basin. For unguaged watershed the flood of a specified return period could be estimated by multiplying the mead flood ratio corresponding the return period with the mean annual flood computed by the empirical formula developed in terms of the watershed area and river channel slope. To verify the applicability of the methodology developed in the present study the floods of various return periods determined for the watershed in the river channel improvement plan formulation by the Ministry of Construction and Transportation(MOCT) were compared with those estimated by the present method. The result proved a resonable agreement up to the watershed area of approximately 2,000k $m^2$. It is suggested that the practice of design flood estimation based on the rainfall-runoff analysis might have to be reevaluated because it involves too much uncertainties in the hydrologic data and rainfall-runoff model calibration.

Effect of Freezing Conditions on the Formation of Ice Crystals in Food during Freezing Process (식품의 동결중에 생성되는 빙결정에 미치는 동결조건의 영향)

  • 공재열;김정한;김민용;배승권
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.21 no.2
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    • pp.213-218
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    • 1992
  • The reaching time to the freezing point was to be fast in the order of 2% agar gel, 5% agar gel, 20% gelatin gel, pork, respectively. The freezing time and the passing time through the zone of the maximum ice crystal formation had linear relationship with the coolant temperature. The average diameter d$_{p}$ of ice crystal in a soybean protein gel and the moving of freezing front were represented an inverse proportion, and the moving velocity of freezing front was shown as 3.4$\times$10$^{-6}$ $\textrm{cm}^2$/sec from predicted theoretical formula. This value was very close to experimental results. The storage temperature did not give any influences for the growth of ice crystal in inside soybean protein gels during freezing conservation. The relationship between freezing condition and structure of freezing front was as follows : (moving velocity of freezing front) : (mass transfer rate of water at freezing point)$\times$(surface area of freezing front).

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The Phase Noise prediction and the third PLL systems on 1/f Noise Modeling of Frequency Synthesizer (주파수합성기의 Phase Noise 예측 및 3차 PLL 시스템에서의 1/f Noise Modeling)

  • 조형래;성태경;김형도
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.5 no.4
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    • pp.653-660
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    • 2001
  • In this paper, we designed 2303.15MHz frequency synthesizer for the purpose of the phase noise prediction. For the modeling of phase noise generated in the designed system through introducing the noise-modeling method suggested by Lascari we analyzed a variation of phase noise as according as that of offset frequency. Especially, for the third-order system of the PLL among some kinds of phase noise generated from VCO we analyzed the aspect of 1/f-noise appearing troubles in the low frequency band. Since it is difficult to analyze mathematically 1/f-noise in the third-order system of the PLL, introducing the concept of pseudo-damping factor has made an ease of the access of the 1/f-noise variance. we showed a numerical formula of 1/f-noise variance in the third-order system of the PLL which is compared with that of 1/f-noise variance in the second-order system of the PLL. As a result, In case of txco we found the reduce rapidly along the offset frequency after passed through that phase-noise was -160dBc/Hz before passed through a loop at 10kHz offset frequency and -162.6705dBc/kHz after passed through the loop, -180dBc/Hz at 100kHz offset frequency and -560dBc/kHz after passed through the loop. We can notice that the variance of third-order system more occurs (or the variance of second-order system in connection with noise bandwidth and variance factor of second-order and third-order system.

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The Bone Density Level of Korean Men Aged 60 Years and Over, and Its Relevant Factors (60세 이상 노년 한국 남성들의 골밀도 수준 및 관련요인)

  • Kim, Young-Ran;Nam, Hae-Sung;Lee, Tae-Yong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.3
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    • pp.1180-1190
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    • 2013
  • This study is to analyze femoral necks and lumbar spine bone mineral density in Korean men aged 60 or older 2,736 people, as well as to research in its relation to anthropometry, life style, diet, fracture history, family history of osteoporosis and medical history using data from Korea National Health and Nutrition Examination Survey (KNHANES)(the 2nd(2008) and 3rd(2009) year at the 1st survey, and the 1st(2010) year at the 5th survey). To express the strength of the associations, percent differences were calculated from multiple linear regression models using the formula ${\beta}{\times}$(unit/mesnBMD). Unit for continuous variables were chosen to approximate 1 standard deviation(SD). Prevalence of osteoporosis for 60-69, 70-79 and >80 old men were 6.7%, 15.8% and 31.4% respectively. The proportion of osteoporosis calculated for each age group in the femoral neck group was: 60-69 years old, 2.6%, 70-79years old, 8.2%, >80years old, 24.8%. For the lumbar spine group, the values were: 60-69 years old, 5.5%, 70-79years old, 11.3%, >80years old, 15.4%. In men aged 60 or older, lean mass greatly influenced bone density in the femoral neck and lumbar spine. Thus, to increase the lean mass would be an effective way to prevent osteoporosis in elderly men.

A Monte Carlo Study of Secondary Electron Production from Gold Nanoparticle in Kilovoltage and Megavoltage X-rays (몬테칼로 기법을 이용한 금 나노입자에서의 2차 전자 발생 평가)

  • Hwang, Chul-Hwan;Kang, Se-Sik;Kim, Jung-Hoon
    • Journal of the Korean Society of Radiology
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    • v.10 no.3
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    • pp.153-159
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    • 2016
  • This study investigated relationship between secondary electrons produced from single gold nanoparticle as a result of its interaction with radiation and particle size and incidence energy, provided basic data related to the dose enhancement effect based on gold nanoparticles. Monte Carlo simulation was applied by using MCNPX MC code, 50, 100, 150 kV and 6, 15 MV x-ray energy was used. In a water phantom, single gold nanoparticles that are 30, 50, 70, 90, and 110 nm in diameter were placed and the tally volume was designated at every 10 nm. Difference in electrons produced from gold nanoparticles was normalized based on absence of nanoparticle. When the X ray energy decreased and the diameter of gold particles increased, more electrons were produced. When the energy was lower, in the linear formula related to nanoparticle size and electron production, the gradient was higher. And, in comparison to the MV X-ray, at kV X-ray, significantly more electrons were produced. This study can be used as data to understand the dose enhancement effect based on gold nanoparticles, and further research related to various materials that dose enhancement including gold nanoparticles needs to be conducted.

A Numerical Solution Method of the Boundary Integral Equation -Axisymmetric Flow- (경계적분방정식의 수치해법 -축대칭 유동-)

  • Chang-Gu,Kang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.3
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    • pp.38-46
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    • 1990
  • A numerical solution method of the boundary integral equation for axisymmetric potential flows is presented. Those are represented by ring source and ring vorticity distribution. Strengths of ring source and ring vorticity are approximated by linear functions of a parameter $\zeta$ on a segment. The geometry of the body is represented by a cubic B-spline. Limiting integral expressions as the field point tends to the surface having ring source and ring vorticity distribution are derived upto the order of ${\zeta}ln{\zeta}$. In numerical calculations, the principal value integrals over the adjacent segments cancel each other exactly. Thus the singular part proportional to $\(\frac{1}{\zeta}\)$ can be subtracted off in the calculation of the induced velocity by singularities. And the terms proportional to $ln{\zeta}$ and ${\zeta}ln{\zeta}$ can be integrated analytically. Thus those are subtracted off in the numerical calculations and the numerical value obtained from the analytic integrations for $ln{\zeta}$ and ${\zeta}ln{\zeta}$ are added to the induced velocity. The four point Gaussian Quadrature formula was used to evaluate the higher order terms than ${\zeta}ln{\zeta}$ in the integration over the adjacent segments to the field points and the integral over the segments off the field points. The root mean square errors, $E_2$, are examined as a function of the number of nodes to determine convergence rates. The convergence rate of this method approaches 2.

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Cross Calibration of Dual Energy X-ray Absorptiometry Equipment for Diagnosis of Osteoporosis: between Domestic Manufacturers and Global Manufacturers (골밀도 장치의 교차분석 ; 국내 제조사와 해외 제조사 비교)

  • Kim, Jung-Su
    • Journal of the Korean Society of Radiology
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    • v.12 no.7
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    • pp.833-844
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    • 2018
  • Dual energy X-ray absorptiometry is mainly used as an X-ray test method. For equipment manufactured GE and Hologic, cross-calibration analyses (CCA) of machines from the same manufacturer and between units from different manufacturers have been conducted, but the CCA of equipment manufactured in Korea are inadequate. Through CCA, we present a formula of the intersections between the Korean medical equipment company (KEC) with GE and Hologic manufactured DXA, and among the KEC DXA. The CCA was conducted for the European Spine Phantom on DXA from four KEC and three global medical equipment company (GEC) manufacturers. We compared bone mineral density (BMD) values and calculated the CCA equation by linear regression analysis. The standard-deviations (SD) of the BMD values were highest for the Dexxum T for the low, medium, and high spine, which were 0.030, 0.029, and 0.037, respectively. The smallest SD in the low and medium vertebrae were 0.005 and 0.004 for the Horizon Ci, respectively, and 0.005 for the Osteo Pro Max in the high vertebrae. Based on the intersection equations of the KEC DXA established in this study, CCA of various KEC DXA should be established for more accurate follow-up of BMD tests in clinical environments.

Estimation of Leaf Area Using Leaf Length, Leaf width, and Lamina Length in Tomato (엽장, 엽폭, 엽신장을 이용한 토마토의 엽면적 추정)

  • Lee, Jae Myun;Jeong, Jae Yeon;Choi, Hyo Gil
    • Journal of Bio-Environment Control
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    • v.31 no.4
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    • pp.325-331
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    • 2022
  • One of the most important factors in predicting tomato growth and yield is the leaf area. Estimating leaf area accurately is the beginning of an effective tomato plant growth assessment model. To this end, this study was conducted to identify the most effective model for estimating plant leaf area through the measurement of tomato plant leaves. Leaf area (LA), leaf length (L), leaf width (W), and lamina length (La) were measured for all leaves of 5 plants at two-week intervals. The correlation between LA and tomato-leaf-independent variables showed a strong positive relationship with the formulas La × W, L × W, La + W, and L + W. For LA estimation, a linear model using the formula LA = a + b (La2 + W2) gave the most accurate estimation (R2 = 0.867, RMSE = 88.76). After examining the positions of upper, middle, and lower leaves from September to December, the coefficient of determination (R2) values for each model were 0.878, 0.726, and 0.794 respectively. The most accurate estimation came from the model that used the upper leaves of the plants. The high accuracy of the upper-leaf-based model is judged by the 50% defoliation performed by farmers after October.