• Title/Summary/Keyword: Logarithmic Regression

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Areal Distribution of Runoff Volume by Seasonal Watershed Model (계절유역 모형을 사용한 유량의 공간적분포 결정)

  • 선우중
    • Water for future
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    • v.17 no.2
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    • pp.125-131
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    • 1984
  • watershed Model by mathematical formulation is one of the powerful tool to analyze the hydrologic process in a watershed. The seasonal watershed model is one of the mathematial model from which the monthly streamflow can be simulated and forcasted for given precipitaion data. This model also enables us to compute the monthly runoff at each subbgasin when the basin is subdivided into several small subbasins. The computation of runoff volume makes a Prediction of the areal distirbution of runoff volume for a given precipitation data. Several basins in Han River basin were chosen to simulate the monthly runoff and compute the runoff at each subbasin. A simple logarithmic regression were conducted between runoff ratio and area ratio. The correlation was very high and the equation can be used for prediciting flood volume when flood at downstream gaging station is know.

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Effects of Physical Characteristics on a Nutrient-Chlorophyll Relationship in Korean Reservoirs

  • Hwang, Soon-Jin;Jeon, Ji-Hong;Ham, Jong-Hwa;Kim, Ho-Sub
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.44 no.7
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    • pp.64-73
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    • 2002
  • This study was performed to evaluate effects of physical characteristics of both watershed and reservoir on nutrient-chlorophyll relationship in Korean reservoirs. Simple linear models were developed with published data in Korea including 415 reservoirs and 11 multi-purpose dams, and physico-chemical parameters of reservoirs and characteristics relationship of models were analyzed. Theoretical residence time in Korean reservoirs was strongly correlated with the ratio of TA/ST (drainage area + surface area / storage volume) in the logarithmic function. As a result of monthly nutrients-chlorophyll-a regression analysis, significant Chl-a-TP relationship appeared during May~July. The high Chl-a yields per total phosphorus appeared during this time (R$\^$2/=0.51, p<0.001, N= 1088). Chlorophyll-a demonstrated much stronger relationship with TP. than TN. Seasonal algal-nutrient coupling were closely related with N:P ratio in the reservoir water, and it was, in turn, dependent on the monsoon climatic condition (precipitation). Based on the results of regression analysis and high N:P ratio, a major limiting factor of algal growth appeared to be phosphorus during this time. Unlikely TA/ST ratio, DA/SA ratio (drainage area f surface area) was likely to influence directly on the nutrient-Chl-a relationship, indicating that if storage volume and inflowing water volume were the same, algal biomass could be developed more in reservoirs with large surface area. Thus, DA/SA ratio seemed to be an important factor to affect the development of algal biomass in Korean reservoirs. With low determination coefficient of TP-Chl-a relationship, our findings indicated not only nutrient (phosphorus) but also other physical factors, such as DA/SA ratio, may affect algal biomass development in Korean reservoirs, where actual residence time appears to be more closely related to reservoir surface area rather than storage volume.

Prediction Model of Absorbed Quantity and Diffusivity of Salf in Radish during Salting (무우의 염절임시 소금의 침투량과 확산도 예측모델)

  • 최용희;권태연
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.20 no.6
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    • pp.572-581
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    • 1991
  • For the development of a model to predict absorbed salt quantity in radish during salting, absorbed salt quantity and water content change in radish by the hour were measured at 5%, 10%, 15% brine concentration and $10^{\circ}C,\;20^{\circ}C,\;30^{\circ}C$ respectively. Absorbed salt quantity in radish by the time showed logarithmic function, absorbed salt quantity by brine concentration and temperature showed linear relation. A model to predict absorbed salt quantity in radish at each time, brine concentration and temperature was calculated by the regression program of SPSS. Apparent diffusivity of salt in radish was calculated from appropriated diffusion equation solution of Fick's second law using computer simulation. Salt diffusivity in radish increased as brine concentration increased and the effect of temperature could by expressed by Arrhenius equation. A model equation which could predict salt diffusivity was developed by regression analysis. To specify relation between salt quantity which absorbed into radish and water content which removed out of it, Flux ratio(${\Delta}W/{\Delta}S$) was calcuated. The values showed that the removed water content was greater than the absorbed salt quantity.

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The Development of Leaves in Amaranthus retroflexus and Chenopodium album Represented by the Plastochron(I. The Derivation of the Plastochron Index) (Plastochron 에 의한 Amaranthus retroflexus 와 Chenopodium album 의 잎의 성장 해석 1. Plastochron Index 의 유도)

  • Park, Bong-Kyu;Joung-Hee Kim
    • The Korean Journal of Ecology
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    • v.8 no.1
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    • pp.1-5
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    • 1985
  • The plastochron index (PI) provides possibility on studies of the effects of various environmental factors on morphological and physiological development of plants. The PI of Erickson and Michemlini(1957) could be used merely when leaf n is longer an leaf n+1 is smaller than the references length at any time. If both the lengths of leaf n and n+1 are smaller or longer than the reference length, it could not estimated. In this study, the PI of Erickson and Michelini was complemented and the linear patterns according to leaf arrangement was represented, PI is n-(lnLR-lnLn)/(lnLn-lnLn+1). And when both the lengths of leaf n and n+1 are longer than the length of reference, PI is n+1+(ln Ln+1-lnLR)/(lnLn-lnLn+1). The linear model of PI is changed by the various environmental factors and the linear patterns are different according to leaf arrangement. According to leaf arrangement, the equation of the general regression lines is Yin-(i-j)=a-(n-1)(q1+...+qi-1)-(q1+...+qj-1)+rt+$\varepsilon$. Where Y:the logarithmic of the leaf length in question, i:leaf number hang on the one node, n:the number counting from base, q:spacing on the Y-axis, j:0, 1, 2, ..., r:slope, t:time, $\varepsilon$:error.

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Effects of Temperature and Binder Components on Working Life of Fresh MMA Modified UP Polymer Concrete (굳지 않은 MMA개질 UP 폴리머 콘크리트의 사용가능시간에 미치는 온도와 결합재의 영향)

  • Yeon, Jung-Heum;Hyun, Sang-Hoon
    • International Journal of Highway Engineering
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    • v.14 no.4
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    • pp.51-61
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    • 2012
  • PURPOSES : This study deals with the working life of polymer concrete, which is typically used as a repair or overlay material for portland cement concrete pavements. METHODS : In the scope of this study, laboratory testing was conducted on fresh MMA modified UP polymer concrete, which uses an MMA monomer for viscosity adjustment and strength improvement of UP resin. The experimental variables were temperature (-20 to $+20^{\circ}C$) and binder components (MMA, MEKPO, and DMA). RESULTS : The result showed that the optimum binder ratios for polymer concrete production were 12, 11, and 10 wt.% when the MMA contents were 20, 30, and 40 wt.%, respectively. The working life of polymer concrete depending on temperature and binder components could be expressed by a logarithmic functional formula. The coefficient of variation for each binder component was the highest for DMA content while the lowest for MEKPO content. Also, the contents of each binder component for ensuring the working life of 60 minutes were proposed. CONCLUSIONS : Ultimately, the present study derived a linear regression equation estimating 60 minutes working life based on the setting times of each binder component.

Effect of Extracting Conditions on the Soluble Solid's Yield of Korean Red Ginseng (추출 조건이 홍미삼(紅尾蔘)의 가용성 물질의 용출률에 미치는 영향)

  • Sung, Hyun-Soon;Kim, Woo-Jung
    • Korean Journal of Food Science and Technology
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    • v.18 no.2
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    • pp.168-172
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    • 1986
  • The swelling and hydration properties of Korean red ginseng tails and yield of total solids in extract were studied during extraction with ethanol solution having a concentration of 0-90% at $60-100^{\circ}C$. Extraction was carried out 5 times which was taken 8 hours per each time of extraction. The swelling, hydration and total solids yield were increased as the ethanol concentration decreased and as the extraction temperature raised. The cumulative value of solids yield suggested that three times of extractions with water or 70% ethanol were effective to recover more than 84%. Linear regression analysis on the properties investigated and extraction conditions showed a linear logarithmic relationship .

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Real-Time Prediction of Electrode Wear for the Small Hole Pass-Through by EDM-drill (방전 드릴을 이용한 미세 홀 관통 공정의 전극 소모량 실시간 예측)

  • Choi, Yong-Chan;Huh, Eun-Young;Kim, Jong-Min;Lee, Cheol-Soo
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.22 no.2
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    • pp.268-274
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    • 2013
  • Electric discharge machining drill (EDM-drill) is an efficient process for the fabrication of micro-diameter deep metal hole. As there is non-physical contact between tool (electrode) and workpiece, EDM-drill is widely used to machine the hard machining materials such as high strength steel, cemented carbide, titanium alloys. The electro-thermal energy forces the electrode to wear out together with the workpiece to be machined. The electrode wear occurs inside of a machining hole. and It causes hard to monitor the machining state, which leads the productivity and the quality to decrease. Thus, this study presents a methodology to estimated the electrode wear amount while two coefficients (scale factor and shape factor) of the logarithmic regression model are evaluated from the experiment result. To increase the accuracy of estimation model, the linear transformation method is adopted using the differences of initial electrode wear differences. The estimation model is verified through experiment. The experimental result shows that within minute error, the estimation model is able to predict accurately.

Effect of Freeze Concentration Process on the Physicochemical Properties of Milk

  • Park, Sung-Hee;Kim, Soo-Hun;Hong, Guen-Pyo;Kwak, Hae-Soo;Min, Sang-Gi
    • Proceedings of the Korean Society for Food Science of Animal Resources Conference
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    • 2005.05a
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    • pp.297-302
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    • 2005
  • Physicochemical properties were compared between freeze concentrated and vacuum evaporated milk through colour, brix, viscosity, freezing point and pH measurement. Brix and viscosity in each concentrated milk significantly increased due to solute concentration(p<0.05), and there was not much difference between freeze concentrated and evaporative one. Brix results were numerically modeled with the logarithmic regression: Y=-33.460+18.4513 ${\cdot}$ ln(X), $R^2=0.9798$ and this model was fairly fit to predict the solute concentration in the middle of freeze concentration process. Freezing point significantly decreased according to concentration increment(p<0.05) and there was not the significant difference between freeze concentrated and evaporated one. Whereas, in colour and pH value, there were some differences between freeze concentrated and evaporative milk. Vacuum evaporated milk expressed higher discoloration comparing to freeze concentrated one. In pH values, evaporated milk showed the significantly decreased results comparing to freeze concentrated sample, whereas the pH value of freeze concentrated sample expressed the similar value to the reference milk.

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Evaluation of C50 in Elementary School Classrooms (초등학교 교실의 C50 실태 평가)

  • Lee, Seong-Bok;Kim, Myung-Jun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.888-892
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    • 2014
  • This paper evaluates $C_{50}$ in elementary school classrooms and considers utilization of $C_{50}$ as an assessment indicator of acoustic performance. $C_{50}$ is early-to-late arriving sound ratio, recent study reported that $C_{50}$ is more appropriate as a measure of clarity and speech intelligibility than D50 because it is linearly related to subjective responses. The average of $C_{50}$ in elementary school classrooms appeared to be about +2 dB ~ +3 dB throughout 500 Hz ~ 4 kHz. However, absolute evaluation is difficult because there is no suitable reference or standard yet. As deviation of $C_{50}$ according to location is larger than reverberation time, it is expected that $C_{50}$ will be more sensitive when someone assesses acoustic performance of classrooms. Correlation between $C_{50}$ and reverberation time is very high. From logarithmic regression equation, we can estimate appropriate range of $C_{50}$ in elementary school classrooms indirectly, using standard of reverberation time in ANSI.

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Studies on the Acoustical Characteristics of Violin Bridges and SDM Simulation (바이올린 브릿지의 음향적 특성 및 SDM 시뮬레이션에 관한 연구)

  • 정우양
    • Journal of the Korea Furniture Society
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    • v.12 no.1
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    • pp.47-55
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    • 2001
  • Violin bridge blank cut from maple wood with good quality has typical pattern of the radial direction in the side edge with minimal dispersion. This experimental study was designed and carried out to examine the effect of the physical and macroscopical characteristics on the compressive creep of violin bridge blank which had been imported from European manufacturer. This research arose from the idea that the maple solid wood with heterogeneous wood density and ray direction in the side edge would have uneven rheological property of violin bridge blank which is supposed to be pressed by the tension of strings. Experimentally, the compressive creep of bridge blank became smaller with the higher density of imported maple wood and showed clear density-dependence for the duration of load under the string tension of 5 kgf. Every bridge blank showed the behavior of primary creep stage(stress stabilization) having logarithmic regression creep curve with high correlation coefficient under the designed stress level. Even though the relationship between compressive creep and ray direction on the side edge of bridge was not so clear contrary to expectation, we could conclude that wood density and ray direction should be the quality decisive factors affecting the acoustical characteristics and performance of the bridge, the core member of violin-family bow instruments.

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