• Title/Summary/Keyword: equation of straight line

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Development of a Practical Algorithm for en-route distance calculation (항로거리 산출을 위한 실용 알고리즘 개발)

  • GeonHwan Park;HyeJin Hong;JaeWoo Park;SungKwan Ku
    • Journal of Advanced Navigation Technology
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    • v.26 no.6
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    • pp.434-440
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    • 2022
  • The ICAO (International civil aviation organization)recommended the implementation of the GANP (global air navigation plan) for strategic decision-making and air traffic management evaluation. In this study, we proposed a new method for finding the route distance from KPI (key performance indicator) 05 actual route extension presented for air traffic management evaluation. For this purpose, we collected trajectory data for one month and calculated the en-route distances using the methods presented in ICAO and the methods presented by this author. In the ICAO method, the intersection point must be estimated through the equation of a circle for radius 40 NM and the equation of a straight line for an inner and outer point close to a circle in the track data, and four flight distances are calculated to calculate the en-route distance. In the method presented in this study, two flight distances are calculated without estimating the intersection point to calculate the en-route distance. To determine the error between the two methods, we used the performance evaluation index RMSE (root mean square error) and the determination factor R2 of the regression model.

A Study of Parallel Test Among Three ADVIA 2120 System (3대의 ADVIA 2120 System 평행시험에 대한 연구)

  • Chang, Sang-Wu;Cho, Eun-Hae;Kim, Nam-Yong;Chu, Kyung-Bok;Lee, Suk-Jong;Hong, Sung-No;Oh, Jong-Do
    • Korean Journal of Clinical Laboratory Science
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    • v.38 no.1
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    • pp.16-21
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    • 2006
  • Parallel testing means ordering a number of tests at the same time so abnormalities in any of the tests can be found quickly and used in making the diagnosis. This is a good medical strategy to eliminate diseases and it is relatively inexpensive if all the tests are potential sources of information and performed on the same analyzer. In regression, the equation for the straight line is recast as y = bx + a. This change in terminology leads to confusion. Here a is the y-intercept or constant and b is the coefficient or slope of the line. A few more words of caution about regression - as in all of statistics there are certain assumptions: the x value is a true measure, both X and Y distributions are normal, and homoscedasticity, i.e., the variance of y is the same for each value of x. In this study the linearity classification made by different scientists were always in agreement. Typical examples of curves that were considered linear are presented in Fig. 1-5. Because these automated procedures values were usually within five percent of each other the curvature could be easily detected. The plot of the WBC, RBC, hemoglobin, hematocrit and platelet concentrations from approximately 74.4 to $0{\times}10^3/{\mu}L$ and $80.4-0{\times}10^3/{\mu}L$, $5.6-0{\times}10^6/{\mu}L$ and $6.1-0{\times}1106/{\mu}L$, 18.3-0 g/dL and 19.0-0 g/dL, 54.1-0% and 56.8-0% and 642.0 to $0.03{\times}10^3{\mu}L$ and $754.0-0{\times}10^3/{\mu}L$ on the ADVIA 2120 C Versus and A and B typical of an acceptable linear study as shown in Fig. 1-5. The grand mean of R2, intercept and slope is 0.99898, 0.99459 and 1.54626.

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Adsorption Characteristics and Parameters of Acid Black and Quinoline Yellow by Activated Carbon (활성탄에 의한 Acid Black과 Quinoline Yellow의 흡착특성 및 파라미터)

  • Yi, Kyung Ho;Hwang, Eun Jin;Baek, Woo Seung;Lee, Jong-Jib;Dong, Jong-In
    • Clean Technology
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    • v.26 no.3
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    • pp.186-195
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    • 2020
  • The isothermal adsorption, dynamic, and thermodynamic parameters of Acid black (AB) and Quinoline yellow (QY) adsorption by activated carbon were investigated using the initial concentration, contact time, temperature, and pH of the dyes as adsorption parameters. The adsorption equilibrium data fits the Freundlich isothermal adsorption model, and the calculated Freundlich separation factor values found that activated carbon can effectively remove AB and QY. Comparing the kinetic data showed that the pseudo second order model was within 10% error in the adsorption process. The intraparticle diffusion equation results were divided into two straight lines. Since the slope of the intraparticle diffusion line was smaller than the slope of the boundary layer diffusion line, it was confirmed that intraparticle diffusion was the rate-controlling step. The thermodynamic experiments indicated that the activation energies of AB and QY were 19.87 kJ mol-1 and 14.17 kJ mol-1, which corresponded with the physical adsorption process (5 ~ 40 kJ mol-1). The adsorption reaction was spontaneous because the free energy change in the adsorption of AB and QY by activated carbon was negative from 298 to 318 K. As the temperature increased, the free energy value decreased resulting in higher spontaneity. Adsorption of AB and QY by activated carbon showed the highest adsorption removal rate at pH 3 due to the effect of anions generated by dissociation. The adsorption mechanism was electrostatic attraction.

Radar Rainfall Estimation Using Window Probability Matching Method : 1. Establishment of Ze-R Relationship for Kwanak Mt, DWSR-88C at Summer, 1998 (WPMM 방법을 이용한 레이더 강수량 추정 : 1. 1998년 여름철 관악산 DWSR-88C를 위한 Ze-R 관계식 산출)

  • Kim, Hyo-Gyeong;Lee, Dong-In;Yu, Cheol-Hwan;Gwon, Won-Tae
    • Journal of Korea Water Resources Association
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    • v.35 no.1
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    • pp.25-36
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    • 2002
  • Window Probability Matching Method(WPMM) is achieved by matching identical probability density of rain intensities and radar reflectivities taken only from small window centered about the gage. The equation of $Z_{e}-R$ relationship is obtained and compared with data between a DWSR-88C radar and high density rain gage networks within 150km from radar site in summer season, 1998. The probability density of radar effective reflectivity is distributed with high frequency near 15dBZ. The frequency distribution of rain intensities shows that rain intensity is lower than 10mm/hr in most part of radar coverage area. As the result of $Z_{e}-R$ relationship using WPMM, curved line has shown to the log scale spatially and it can be explained more flexible than any straight-line power laws at the transformation to the rainfall amount from $Z_e$ value. During 3 months, total radar cumulative rainfall amount estimated by $Z=200R^{1.6}$ and WPMM relationships are 44 and 80 percentages of total raingage amount, respectively. Therefore, $Z_{e}-R$ relationships by WPMM may be widely needed a statistical method for the computation of accumulated precipitation.

APPLICATION STUDY OF CHEMOINFOMETRICAL NEAR-INFRARED SPECTROSCOPY IN PHARMACEUTICAL INDUSTRY

  • Otsuka, Makoto;Kato, Fumie;Matsuda, Yoshihisa
    • Proceedings of the Korean Society of Near Infrared Spectroscopy Conference
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    • 2001.06a
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    • pp.2111-2111
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    • 2001
  • A chemoinfometrical method for evaluating the quantitative determination of crystallinity one polymorphs based on fourie-transformed near-infrared (FT-NIR) spectroscopy was established. A direct comparison of the data with the ones collected from using the and compared with the conventional powder X-ray diffraction method was performed. [Method] The pPure a and g forms of indomethacin (IMC) were prepared by reportedusing published methods. Six kinds of standard samples obtained by physically mixing of a and g forms. After the powder X-ray diffraction profiles of samples have been measured, the intensity values were normalized to against the intensity of silicon powder as the as an external standard. The calibration curves for quantification of crystal content were based upon the total relative intensity of four diffraction peaks from of the form g crystal. FT-NIR spectra of six calibration sample sets were recorded 5 times with the NIR spectrometer (BRAN+LUEBBE). Chemoinfometric analysis was performed on the NIR spectral data sets by applying the principal component regression (PCR). [Results] The relation between the actual and predicted polymorphic contents of form g IMC measured using by the X-ray diffraction method shows a good straight linen linear relation., and it has slope of 0.023, an intercept of 0.131 and a correlation coefficient of 0.986. PCR analyses wereis was performed based on normalized NIR spectra sets offer standard samples of known content of IMC g form. IMC. A calibration equation was determined to minimize the root mean square error of the predictionthe prediction. Figure 1 shows a plot of the calibration data obtained by NIR method between the actual and predicted contents of form g IMC. The predicted values were reproducible and had a smaller standard deviation. Figure 2 shows that the plot for the predicted transformation rate (%) of form a IMC to form g as measured by X-ray diffractomeoy against to those as measured by NIR method. The plot has a slope of 1.296, an intercept of 1,109, and a correlation coefficient of 0.992. The line represents a satisfactory correlation between the two predicted values of form g IMC content. Thus NIR spectroscopy is an effective method for the evaluation to the pharmaceutical products of quantitative of polymorph.

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Molecular Theory of Plastic Deformation (Ⅲ)$^*$

  • Kim, Jae-Hyun;Ree, Tai-Kyue;Kim, Chang-Hong
    • Bulletin of the Korean Chemical Society
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    • v.2 no.3
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    • pp.96-104
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    • 1981
  • (1) The flow data of f (stress) and ${\dot{s}$ (strain rate) for Fe and Ti alloys were plotted in the form of f vs. -ln ${\dot{s}$ by using the literature values. (2) The plot showed two distinct patterns A and B; Pattern A is a straight line with a negative slope, and Pattern B is a curve of concave upward. (3) According to Kim and Ree's generalized theory of plastic deformation, pattern A & B belong to Case 1 and 2, respectively; in Case 1, only one kind of flow units acts in the deformation, and in Case 2, two kinds flow units act, and stress is expressed by $f={X_1f_1}+{X_2f_2}$where $f_1\;and\;f_2$ are the stresses acting on the flow units of kind 1 and 2, respectively, and $X_1,\;X_2$ are the fractions of the surface area occupied by the two kinds of flow units; $f_j=(1/{\alpha}_j) sinh^{-1}\;{\beta}_j{{\dot{s}}\;(j=1\;or\;2)$, where $1/{\alpha}_j\;and\;{\beta}_j$ are proportional to the shear modulus and relaxation time, respectively. (4) We found that grain-boundary flow units only act in the deformation of Fe and Ti alloys whereas dislocation flow units do not show any appreciable contribution. (5) The deformations of Fe and Ti alloys belong generally to pattern A (Case 1) and B (Case 2), respectively. (6) By applying the equations, f=$(1/{\alpha}_{g1}) sinh^-1({\beta}_{g1}{\dot{s}}$) and $f=(X_{g1}/{\alpha}_{g1})sinh^{-1}({\beta}_{g1}{\dot{s}})+ (X_{g2}/{\alpha}_{g2})\;shih^{-1}({\beta}_{g2}{\dot{s}})$ to the flow data of Fe and Ti alloys, the parametric values of $x_{gj}/{\alpha}_{gj}\;and\;{\beta}_{gs}(j=1\;or\;2)$ were determined, here the subscript g signifies a grain-boundary flow unit. (7) From the values of ($({\beta}_gj)^{-1}$) at different temperatures, the activation enthalpy ${\Delta}H_{gj}^{\neq}$ of deformation due to flow unit gj was determined, ($({\beta}_gj)^{-1}$) being proportional to , the jumping frequency (the rate constant) of flow unit gj. The ${\Delta}H_{gj}\;^{\neq}$ agreed very well with ${\Delta}H_{gj}\;^{\neq}$ (self-diff) of the element j whose diffusion in the sample is a critical step for the deformation as proposed by Kim-Ree's theory (Refer to Tables 3 and 4). (8) The fact, ${\Delta}H_{gj}\;^{\neq}={\Delta}H_{j}\;^{\neq}$ (self-diff), justifies the Kim-Ree theory and their method for determining activation enthalpies for deformation. (9) A linear relation between ${\beta}^{-1}$ and carbon content [C] in hot-rolled steel was observed, i.e., In ${\beta}^{-1}$ = -50.2 [C] - 40.3. This equation explains very well the experimental facts observed with regard to the deformation of hot-rolled steel..

How about IRMA Curve (IRMA 법 Curve에 관하여)

  • Chang, Hyunyeong;Sin, Sunyoung;Lee, Hyunju;Woo, Jearyong;Lee, Hoyoung
    • The Korean Journal of Nuclear Medicine Technology
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    • v.16 no.2
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    • pp.156-161
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    • 2012
  • Purpose : IRMA method for the experimental reagents, as set out in the manual settings for doing and reporting the test results should, in principle. But many of the reagents allows for the setting of the plot does not have a lot of information. Depending on the angle setting of the table make a difference in test results and what settings are best suited to investigate. Materials and Methods : The hospital has Boramae DREAM10, Cobra, SR-300's using the Immunotech TSH reagents have been compared with the measurements. Since then there using EXCEL calculation of the equipment compared with the measurement. Results : In the comparison between each piece of equipment 1.SR-300: DREAM 10 y = 1.1376x - 0.046 (LOG-LOGIT), 2.SR-300: COBRA y = 1.0985x + 0.042 (LOG-LOG) 3.DREAM10: COBRA y = 0.965x + 0.0887 (LOG-LOG) was the result. In all charts the same X, Y axis, X values were good in general when you have. Linear-Logit value of Cobra Dream10 and Excel tends to match the calculated values provided. Conclusion : Is to guide the B / max, B / Total Logit Y axis of the chart is set to draw a look at the value equation when the X-axis LOG a high concentration are disadvantages rising urgently toward the slope. Linear-Logit plots close to the straight line has a curve. If you have a chart to guide on setting AS setting and therefore, set to guide the absence of information on the need to set up the experiment are thought to pass through.

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Rheological Properties of Agar Solution from Cheju Seaweed, Gellidium amansii (제주산 우뭇가사리로 부터 추출한 한천용액의 유동특성)

  • KANG Hoon-I;KO Moon-Sub;KIM Hyeon-Ju;KIM Sung-Woo;BAE Tae-Jin
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.29 no.5
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    • pp.722-726
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    • 1996
  • To bring out the functional properties of Agar-agar extracted with 0.01N $H_2SO_4$ from Cellidium amansii produced in Che-ju Udo and its rheological properties were investigated. The flow behavior indexes in the range of $0.5\~5\%$ agar-agar solution were $0.62\~0.69\;at\;80^{\circ}C,\;0.46\~0.67\;at\;60^{\circ}C\;and\;0.34\~0.64\;at\;50^{\circ}C$. The consistency indexes were $0.12\~1.26\;Pa{\cdot}s^n\;at\;80^{\circ}C,\;0.12\~7.28\;Pa{\cdot}s^n\;at\;60^{\circ}C\;and\;3.9\~19952.6\;Pa{\cdot}s^n\;at\;50^{\circ}C$. Consistenry index's existence nature to concentration is two straight line relation which have different slopes on the border of $2\%$ concentration of agar-agar solution and existence nature of temperature followed Arrhenius equation. And the activation energy, in the range of $0.5\%\~5\%$ agar-agar solution, were $0.09\~13.51\;kcal/g{\cdot}mol$.

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The Effect of Geometric Factors When Measuring Standard Count for Radioactive Iodine Thyroid Uptake Rate (표준계수 측정 시 기하학적 요인이 방사성 요오드 갑상선 섭취율에 미치는 영향)

  • Oh, Joo Young;Kim, Jung Yul;Oh, Ki Baek;Oh, Shin Hyun;Kim, Jae Sam;Lee, Chang Ho;Park, Hoon-Hee
    • The Korean Journal of Nuclear Medicine Technology
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    • v.17 no.1
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    • pp.53-61
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    • 2013
  • Objectives: It is certain that Radioactive iodine thyroid uptake(RAIU) rate should be measured with the standard counts considering the thyroid gland depth in enlarged thyroid patients for the variation from geometric factors. The purpose of this paper is to consider the effects of geometric factors according to detector to source distance and the effective thyroid depth on RAIU rate with experiment test. Materials and Methods: I-131 370 kBq ($10{\mu}Ci$) point source was measured by Captus-3000 thyroid uptake system (Capintec, NJ, USA) with a change Detector-Source Distance from 20 cm to 30 cm at an interval of 1 cm. And we changed the Neck phantom surface-Source Depth in the phantom with 1 cm, 2 cm, 5 cm using the neck phantom in order to reproduce the effective thyroid depth. Results: Every experimental group follows power curve as inverse square curve ($$R2{\geq_-}0.915$$). The average count rates in the case not using a phantom and the every case applied the effective thyroid depth using a phantom was not identical each other. There was significant fluctuations upon the effective thyroid depths applied the effective thyroid depth above 1 cm in $364.4 keV{\pm}10%$ energy ROI (p<0.01). There was not significant difference between the count rates of 1 cm and 2 cm in $364.4keV{\pm}20%$ and $637.1keV{\pm}6.2%$ (p=0.354, p=0.397). In assumed RAIU rate from regression equation, $364.4keV{\pm}20%$ was lower difference than $364.4keV{\pm}10%$ as 6.42% and 5.09% per 1 cm. Every change of count rate upon depth appears decreased line on Linear Regression, but the case of $284.3keV{\pm}10%$ increased only. And also, The graphs of coefficient of variation upon depth increased as straight line on every experimental group. Conclusion: The result appears that application of $364.4keV{\pm}20%$ energy ROI is more suitable for reducing error from the effective thyroid depth. And also, we can estimate the error of 20 cm should be highly reduced than 30 cm for Inverse Square Law. Therefore, If there is not information of the thyroid depth, it is considered that the error from thyroid depth can reduce through set up energy ROIs for $364.4keV{\pm}20%$, and increase Detector-Source Distances.

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Analysis of Heterogeneous Tree-Ring Growths of Pinus densiflora with Various Topographical Characteristics in Mt. Worak Using GIS (GIS 기법을 이용한 지형적 특성에 따른 월악산 소나무 연륜생장의 이질성 규명)

  • 서정욱;김재수;박원규
    • The Korean Journal of Ecology
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    • v.23 no.1
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    • pp.25-32
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    • 2000
  • To analyze the relationship between climatic factors (monthly temperatures and precipitations) and the radial growths or Pinus densiflora with different topographical settings in Worak National Park, Korea, 20 stands were chosen and 10 trees were selected from each stand. After crossdating, each ring-width series was double detrended (standardized) by fitting first a negative exponential or straight regression line and secondly a 60-year cubic spline. The growth patterns coud be categorized by four groups using cluster analysis. Cluster Ⅰ stand has north aspect, but others have south or southwest aspects. Cluster Ⅰ (one), cluster Ⅱ (ten), and cluster Ⅲ (two) stands are located in lower. elevation (305∼580 m), however, cluster Ⅳ (seven) stands are located in higher elevation, mostly in 560~870 m. Cluster Ⅱ and Ⅲ stands are located at similar elevation with the same aspect, however, cluster Ⅱ stands are located on more rocky and stiff slope with shallow soil depth. The response functions were used to examine the difference in the relationships between climatic factors and tree growths among the 4 cluster chronologies. The climatic factors are not limiting the growth in the cluster Ⅰ stand as highly as in other cluster plots because of rather mesic conditions in the north slope. The precipitation in the spring appears to be the main limiting factor in the cluster Ⅱ stands. The topographical characteristics of the sites of cluster Ⅱ, shallow soil depths on the rocky slope in the south aspect at lower elevation, may enhance the sensitivity of growth to moisture stress. In cluster Ⅲ and cluster Ⅳ, winter and spring temperature prior to the growth become more important than for cluster Ⅱ. This pattern is com-mon for Pinus densiflora trees growing in higher. elevation (equation omitted 800 m) in South Korea. It nay be re-lated with preconditioning effects of temperature as the temperature decreases with increasing elevation (cluster Ⅳ) or in the valley (cluster Ⅲ). The results obtained by tree-ring analysis were digitalized by GIS and spatio-temporal information on tree-ring data and topographic setting were analyzed and displayed simultaneously. The results of this study can be used to predict the future change of Pinus densiflora ecosystem to climate change expected in central Korea.

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