• Title/Summary/Keyword: Logarithm

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A Laboratory Study on Erosional Properties of the Deposit Bed of Kaolinite Sediments (고령토 퇴적저면의 침식특성에 대한 실험적 연구)

  • Kim, Yong-Muk;Kim, Hyun-Min;Hwang, Kyu-Nam;Yang, Su-Hyun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.4
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    • pp.1181-1190
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    • 2014
  • In this study, the erosional parameters for deposit beds were quantitatively estimated domestically for the first time through the erosion tests using an annular flume. Four erosion tests were carried out for the deposit beds with different consolidation structures, which were obtained by consolidating the kaolinite slurries for a given time durations. Results of erosion tests showed that the bed shear strength ${\tau}_s$ increased with the consolidation time and bed depth. The erosion rate ${\epsilon}$ was also shown to be related well with the excess shear stress ${\tau}_b-{\tau}_s$ which was given by the difference between flow shear stress ${\tau}_b$ and bed shear strength ${\tau}_s$. While the logarithm of the erosion rate was linearly related with the excess shear stress as ${\tau}_b-{\tau}_s{\geq}0.1N/m^2$, however, the erosion rate decreased rapidly with it when ${\tau}_b-{\tau}_s{\leq}0.1N/m^2$. These erosion test results were also shown to be good enough to verify by comparing with the test results from previous studies and a new equation was suggested to describe the erosion rate more well in the region of ${\tau}_b-{\tau}_s{\leq}0.1N/m^2$.

Predicting the Concentration of Obesity-related Metabolites via Heart Rate Variability for Korean Premenopausal Obese Women: Multiple Regression Analysis (심박변이도를 통한 폐경 전 한국인 비만 여성의 비만 관련 대사체 농도 예측을 위한 회귀분석)

  • Kim, Jongyeon;Yang, Yo-Chan;Yi, Woon-Sup;Kim, Je-In;Maeng, Tae-Ho;Yoo, Duk-Joo;Shim, Jae-Woo;Cho, Woo-Young;Song, Mi-Yeon;Lee, Jong-Soo
    • Journal of Korean Medicine Rehabilitation
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    • v.24 no.4
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    • pp.155-162
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    • 2014
  • Objectives Advanced researches on the relationship between obesity and heart rate variability (HRV), heretofore, focused on characteristics of HRV depending on the state of obesity. However, the previous researches have not quantified predictive power of HRV toward the obesity-related variables, which is rather more meaningful for clinicians who regularly treat obese patients. Hence, we designed a research to investigate whether HRV could predict serum levels of obesity-related metabolites. Methods Ninety obese premenopausal women meeting the inclusion criteria were recruited. The HRV test, blood sampling, and measurement of physical traits were conducted. Multiple regression analysis of the measurement data was carried out, putting obesity-related metabolites (insulin, glucose, triglyceride, hs-CRP, HDL, LDL, total cholesterol) as outcome variables and the others as predictors. To select appropriate predictive variables, the Akaike's Information Criterion (AIC) was applied. Normality and homoskedasticity of residuals for each model were tested to identify if there were any violations of the regression analysis's basic assumption. Logarithm transformation was used for the values of the concentration of metabolites and the HRV. Results The regression model including Total Power (TP) value and BMI had significant predictive power for serum insulin concentration (F(2, 88)=835.7, p<0.001, $R^2=0.95$). The regression coefficient of ln (TP) was -0.1002. However, it was not sure if the HRV could predict concentrations of other metabolites. Conclusions The results suggest that the Total Power (TP) value of the HRV can predict the level of serum insulin. If the BMI could be assumed as being constant, when the TP value is multiplied by n, the predicted change of insulin could be drawn by multiplying $n^{-0.1002}$. The uncertainty of this model can be assumed as approximately 5%.

Head Capsule Width and Population Densities of Overwintering Nymphal Stages of the Green Rice Leafhopper, Nephotettix cincticeps Uhler (Hemiptera: Cicadellidae) (월동 끝동매미충(Nephotettix cincticeps)의 약충태별 두폭크기 및 밀도변화)

  • Kang, Seok-Min;Paik, Chae-Hoon;Lee, Geon-Hwi;Choi, Man-Young;Sengottayan, Senthil-Nathan;Hwang, Chang-Yeon
    • Korean journal of applied entomology
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    • v.48 no.2
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    • pp.165-170
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    • 2009
  • This study was conducted to investigate specific stages and distribution of overwintering nymphs of green rice leafhopper, Nephotettix cincticeps by measuring head capsule width. The nymphal head capsule width of the 1st instar to the 5th instar was 0.381, 0.502, 0.673, 0.979 and 1.128 mm, respectively. lts coefficient variation was 5.3, 4.0, 3.0, 4.5 and 5.3%, respectively. Growth ratio of each instar was not significantly different among 2nd to 4th instars as 1.31 to 1.34, but for the 5th instar it decreased as 1.28. The logarithm of the nymphal head capsule width was regressed as a function of the stage number of insects, resulting in LogY = 1.4627 + 0.1192X ($r^2= 0.9993$). Also fitness to the Dyar's law for the nymphal head capsule width of each instar was 98% or over and the Dyar's constant (K) was 1.316. The occurrence of N. cincticeps was maximum at the end of January with 195 individuals/0.25 $m^2$. The most abundant instar in the overwintering N. cincticeps population was 4th instar accounting for over 90%. Population of the 5th instar began to increase from mid-March, and adults began to occur in early April.

Analyses on Related Factors with Fire Damage in Korea (한국에서의 화재 피해 관련요인 분석)

  • Chang, Eunmi;Kang, Byungki;Park, Kyeong
    • Journal of the Korean Geographical Society
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    • v.50 no.3
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    • pp.355-373
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    • 2015
  • In this study the factors of fire damage are analyzed through previous research reviews. Local environmental factors as well as those factors attributed to fire damage (number of fire events, number of injured, number of death, economic loss) were selected to compose mutual relationship model. In order to verify this relationship model, official statistics concerning fire damage were collected from 228 local governments and compared with results from previous research. As a result of this comparison four dependent variables and 22 independent variables that affect fire damage were analyzed. Independent variables are divided into human vulnerability factors, physical vulnerability factors, economic vulnerability factors, mitigating factors and local characteristics. To analyze a relationship between selected dependent variables and independent variables, we applied a semi-logarithm model and performed regression analysis. Among the 22 independent variables, the number of the weak to disaster, social welfare service workers, workers in manufacturing industry, and the number of workers in restaurants and bars per 10,000 people show the significant correlation with the number of fire incidence. The number of death from fire is significantly related to two variables which are the number of social welfare service workers per 10,000 and the ratio of commercial area. Damage cost is significantly dependent on the property taxes per 10,000 people. These factors were included in the research model as vulnerability factors (human, physical, economic) and mitigating factors and local characteristics, and the validity of research model was verified. The result could contribute to fire-fighting resource allocation in Korea or they can be utilized in establishing fire prevention policy, which will enhance the national level of fire safety.

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Study on the Consolidation Characteristics of Marine Clay by CRS and Conventional Tests (일정변헝률 및 표준압밀시험을 이용한 해성점토의 압밀특성 연구)

  • Lee, U-Jin;Im, Hyeong-Deok;Lee, Won-Je
    • Geotechnical Engineering
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    • v.14 no.4
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    • pp.47-60
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    • 1998
  • A series of conventional tests and CRS consolidation tests with different rates of strain were performed to investigate the consolidation characteristics of marine clay. Preconsolidation pressures were evaluated by applying previously proposed methods for both the conventional tests and CRS tests results in order to check the legitimacy of those methods. The effects of strain rate on effective consolidation stress strain relationship, porewater pressure, and preconsolidation pressure were also discussed It was found that the effective stress strain relationship and the preconsolidation pressure are a function of strain rate imposed during consolidation test, but compression index isn't. The preconsolidation pressure ratio ($a_2=\sigma'_{pCRS}/\sigma'_{pConv}$)of marine clay appears proportional to the logarithm of strain rate, with average values ranging from 1.11 to 1.30 for strain rates between $1\timesx10^{-4} %/sec\; and\; 4\times10 %/sec$. The porewater pressure ratio during CRS teats does not exceed 6.0% except when the strain rate is $6.67\times10^{-4} %/sec$. Coefficient of consolidation or coefficient of permeability at normally consolidated range was not affected by the type of consolidation tests and the strain rate. Typical values of compression index (C.), coefficient of consolidation(c.), and coefficient of permeability (k.) at normally consolidated range were 0.56-0.95, $0.56\times10^{-4}~3.0\times10^{-4}cm2/sec,\; and\; 2.0\times10^{-8}~7.0\time10^{-4}cm/sec,$ respectively.

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A Study on the Horizontal Consolidation and Permeability Characteristics of Decomposed Mudstone Soil in Pohang (이암풍화토의 횡방향압밀 및 투수특성)

  • 김영수;김기영;백영식
    • Journal of the Korean Geotechnical Society
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    • v.16 no.1
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    • pp.31-42
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    • 2000
  • Consolidation and permeability are major engineering properties of soil. In clay, coefficient of permeability and consolidation can be calculated by incremental loading consolidation test. However, it is known that the incremental loading test has several deficiencies including long testing time, non-uniform stress state, very soft clay and problem of back pressure saturation. Specially, it is not performed with horizontal consolidation test. Several methods have been proposed for obtaining reliable values of $C_v$. Among these, the square root of time-fitting method proposed by Taylor(1948) and logarithm of time-fitting method, also called Casagrande's method, are used extensively in soil engineering practice. But these methods are not amenable for the absence of initial linear portion and have the difficulties involved in distinguishing secondary compression from primary compression. Rowecell consolidation tests were carried out in this study with different trimming axis and sample size. The results were compared with those of other methods; Casagrande,$Taylor,\; Casagrande,\; Hyperbolic,\; \delta/t-logt$. From the results, we explained a relationship between horizontal coefficient of permeability and void ratio was obtained. Finally, the directly measured horizontal coefficient of permeability obtained by using the Rowecell was compared with the permeability derived indirectly from the consolidation test result.

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The Correlation Analysis between Heart Rate Variability and Effect of Acupuncture on Obese Women (자율신경 활성도와 비만 여성 침치료 효과의 상관성 연구)

  • Kim, Je-In;Yang, Yo-Chan;Kim, Koh-Woon;Cho, Jae-Heung;Kim, Song-Yi;Park, Hi-Joon;Song, Mi-Yeon
    • Journal of Korean Medicine Rehabilitation
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    • v.26 no.4
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    • pp.85-96
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    • 2016
  • Objectives The purpose of this study was to investigate the relationship between the effects of acupuncture treatment and heart rate variability (HRV) in pre-menopausal obese women. Methods Thirty-seven obese women who met the inclusion criteria were recruited. To estimate the effects of acupuncture, obesity indices, such as body weight (BW), waist circumference (WC), hip circumference (HC), and the waist-hip ratio (WHR), were measured before and after the treatment. The HRV test was conducted before treatment and analyzed using the frequency domain method. Results The lnLF/HF ratio (natural logarithm of low frequency power/high frequency power ratio of the HRV value) before treatments was negatively correlated with differences in WC, HC, and WHR during treatment. The correlation coefficients between the lnLF/HF ratio and the differences in WC, HC, and WHR were r=-0.459 (p<0.01), r=-0.327 (p<0.05), and r=-0.339 (p<0.05) respectively. Conclusions As the baseline ratio of sympathetic activity to parasympathetic activity decreases, WC, HC, and WHR reduction significantly increased during treatment. Further study is needed to uncover the relationship between obesity-related variables and the autonomic nervous system to predict the effect of acupuncture.

No Association between Val108/158Met Polymorphism on Catechol-O-Methyl Transferase(COMT) Gene and Smooth Pursuit Eye Movement(SPEM) Abnormality in Korean Schizophrenia Patients (한국인 정신분열병 환자의 안구추적운동 이상과 COMT 유전자의 Val108/158Met 다형성의 연합 연구)

  • Jang, Ho Joon;Moon, Hyun-Il;Lee, Yeon Jung;Kim, Im-Yel;Lee, In-Sang;Seo, Han-Gil;Kim, Ki-Hoon;Shin, Tae-Min;Park, Byung-Lae;Shin, Hyung Doo;Han, Sun Ho;Han, Sang-Woo;Woo, Sung-Il
    • Korean Journal of Biological Psychiatry
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    • v.15 no.4
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    • pp.288-296
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    • 2008
  • Objectives : We investigated the association of Val108/158Met polymorphism on catechol-O-methyl transferase(COMT) gene with smooth pursuit eye movement(SPEM) abnormality in Korean schizophrenia patients. Methods : We measured SPEM in 217 Korean schizophrenia patients(male 116, female 101) and divided them into two groups, one was a good SPEM function group and the other was a poor SPEM function group. Then we analyzed Val108/158Met polymorphism on COMT gene. We compared the differences of genotype and allele distributions of the polymorphism on COMT gene between the two groups. Results : The natural logarithm value of signal/noise ratio(Ln S/N ratio) of the good SPEM function group was $4.39{\pm}0.33$(mean${\pm}$s.d.) and that of poor SPEM function group was $3.17{\pm}0.71$. There were no statistically significant differences of age and male/female ratio between the two groups. There were no significant differences of genotype or allele distributions of the Val108/158Met polymorphism on COMT gene between the two schizophrenic groups. Conclusions : The results suggest that Val108/158Met polymorphism on COMT gene is not related to SPEM function abnormality in schizophrenia.

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A Leading Price Estimation of Jeju Flounder Producer Prices by Fish Weight and a Dynamic Influence Analysis of Market Price Impulse (중량별 제주 넙치 산지가격의 선도가격 추정 및 시장가격 충격에 대한 동태적 영향 분석)

  • SON, Jingon;NAM, Jongoh
    • Journal of Fisheries and Marine Sciences Education
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    • v.28 no.1
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    • pp.198-210
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    • 2016
  • This study firstly aims to estimate a leading-price of Jeju flounders with various price-classes by fish weight and secondly plans to provide policy implications of flounder purchase projects by understanding dynamic changes and interactions among flounder producer price-classes caused by price impulses in the market. This study applies an unit root test for stability of data, uses a Granger causality test to estimate the leading-price among producer prices by fish weight, employs the vector autoregressive model to analyze statistical impacts among t-1 variables used in models, and finally utilizes impulse response analyses and forecast error variance decomposition analyses to understand dynamic changes and interactions among change rates of the producer prices caused by price impulses in the market. The results of the study are as follows. Firstly, KPSS, PP, and ADF tests show that the change rate of Jeju flounder monthly producer prices by fish weight differentiated by logarithm is stable. Secondly, the Granger causality test presents that the change rate of the 1kg flounder producer price strongly leads it of 500g, 700g, and 2kg flounder producer prices respectively. Thirdly, the vector autoregressive model indicates that the change rate of the 1kg producer price in t-1 period statistically, significantly influences it of own weight in t period and also slightly affects price change rates of other weights in t period. Fourthly, the impulse response analysis indicates that impulse responses of structural shocks for the change rate of the 1kg producer price are relatively more powerful in its own weight and in other weights than shocks emanating from price change rates of other weights. Fifthly, the variance decomposition analysis points out that the change rate of the 1kg producer price is relatively more influential than it of 500g, 700g, and 2kg producer prices respectively. In conclusion, the change rate of the 1kg Jeju flounder producer price leads the change rates of other ones and Jeju purchase projects need to be targeted to the 1kg Jeju flounder producer price as the purchase project implemented in 2014.

Predictive mathematical model for the growth kinetics of Listeria monocytogenes on smoked salmon (온도와 시간을 주요 변수로한 훈제연어에서의 Listeria monocytogenes 성장예측모델)

  • Cho, Joon-Il;Lee, Soon-Ho;Lim, Ji-Su;Kwak, Hyo-Sun;Hwang, In-Gyun
    • Journal of Food Hygiene and Safety
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    • v.26 no.2
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    • pp.120-124
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    • 2011
  • Predictive mathematical models were developed for predicting the kinetics of growth of Listeria monocytogenes in smoked salmon, which is the popular ready-to-eat foods in the world, as a function of temperature (4, 10, 20 and $30^{\circ}C$). At these storage temperature, the primary growth curve fit well ($r^2$=0.989~0.996) to a Gompertz equation to obtain specific growth rate (SGR) and lag time (LT). The Polynomial model for natural logarithm transformation of the SGR and LT as a function of temperature was obtained by nonlinear regression (Prism, version 4.0, GraphPad Software). Results indicate L. monocytogenes growth was affected by temperature mainly, and SGR model equation is $365.3-31.94^*Temperature+0.6661^*Temperature^{\wedge^2}$ and LT model equation is $0.1162-0.01674^*Temperature+0.0009303^*Temperature{\wedge^2}$. As storage temperature decreased $30^{\circ}C$ to $4^{\circ}C$, SGR decreased and LT increased respectively. Polynomial model was identified as appropriate secondary model for SGR and LT on the basis of most statistical indices such as bias factor (1.01 by SGR, 1.55 by LT) and accuracy factor (1.03 by SGR, 1.58 by LT).