• 제목/요약/키워드: Polynomial model

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Phenomenological Modeling of Newly Discovered Eclipsing Binary 2MASS J18024395 + 4003309 = VSX J180243.9+400331

  • Andronov, Ivan L.;Kim, Yonggi;Kim, Young-Hee;Yoon, Joh-Na;Chinarova, Lidia L.;Tkachenko, Mariia G.
    • Journal of Astronomy and Space Sciences
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    • v.32 no.2
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    • pp.127-136
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    • 2015
  • We present a by-product of our long term photometric monitoring of cataclysmic variables. 2MASS J18024395 +4003309 = VSX J180243.9 +400331 was discovered in the field of the intermediate polar V1323 Her observed using the Korean 1-m telescope located at Mt. Lemmon, USA. An analysis of the two-color VR CCD observations of this variable covers all the phase intervals for the first time. The light curves show this object can be classified as an Algol-type variable with tidally distorted components, and an asymmetry of the maxima (the O'Connell effect). The periodogram analysis confirms the cycle numbering of Andronov et al. (2012) and for the initial approximation, the ephemeris is used as follows: Min I. BJD = 2456074.4904+0.3348837E. For phenomenological modeling, we used the trigonometric polynomial approximation of statistically optimal degree, and a recent method "NAV" ("New Algol Variable") using local specific shapes for the eclipse. Methodological aspects and estimates of the physical parameters based on analysis of phenomenological parameters are presented. As results of our phenomenological model, we obtained for the inclination $i=90^{\circ}$, $M_1=0.745M_{\odot}$, $M_2=0.854M_{\odot}$, $M=M_1+M_2=1.599M_{\odot}$, the orbital separation $a=1.65{\cdot}10^9m=2.37R_{\odot}$ and relative radii $r_1=R_1/a=0.314$ and $r_2=R_2/a=0.360$. These estimates may be used as preliminary starting values for further modeling using extended physical models based on the Wilson & Devinney (1971) code and it's extensions

An evaluation of empirical regression models for predicting temporal variations in soil respiration in a cool-temperate deciduous broad-leaved forest

  • Lee, Na-Yeon
    • Journal of Ecology and Environment
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    • v.33 no.2
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    • pp.165-173
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    • 2010
  • Soil respiration ($R_S$) is a critical component of the annual carbon balance of forests, but few studies thus far have attempted to evaluate empirical regression models in $R_S$. The principal objectives of this study were to evaluate the relationship between $R_S$ rates and soil temperature (ST) and soil water content (SWC) in soil from a cool-temperate deciduous broad-leaved forest, and to evaluate empirical regression models for the prediction of $R_S$ using ST and SWC. We have been measuring $R_S$, using an open-flow gas-exchange system with an infrared gas analyzer during the snowfree season from 1999 to 2001 at the Takayama Forest, Japan. To evaluate the empirical regression models used for the prediction of $R_S$, we compared a simple exponential regression (flux = $ae^{bt}$Eq. [1]) and two polynomial multiple-regression models (flux = $ae^{bt}{\times}({\theta}{\nu}-c){\times}(d-{\theta}{\nu})^f:$ Eq. [2] and flux = $ae^{bt}{\times}(1-(1-({\theta}{\nu}/c))^2)$: Eq. [3]) that included two variables (ST: t and SWC: ${\theta}{\nu}$) and that utilized hourly data for $R_S$. In general, daily mean $R_S$ rates were positively well-correlated with ST, but no significant correlations were observed with any significant frequency between the ST and $R_S$ rates on periods of a day based on the hourly $R_S$ data. Eq. (2) has many more site-specific parameters than Eq. (3) and resulted in some significant underestimation. The empirical regression, Eq. (3) was best explained by temporal variations, as it provided a more unbiased fit to the data compared to Eq. (2). The Eq. (3) (ST $\times$ SWC function) also increased the predictive ability as compared to Eq. (1) (only ST exponential function), increasing the $R^2$ from 0.71 to 0.78.

Application of Statistical Experimental Design to Improve the Quality of Fresh-Cut Apple Cubes by Edible Coating with Alginate

  • Zuo, Li;Lee, Jun-Ho
    • Food Science and Biotechnology
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    • v.15 no.6
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    • pp.825-832
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    • 2006
  • The effect of alginate coating in combination with an anti-browning agent on increasing the post-cutting shelf life and improving the quality of minimally processed apple cubes was studied during storage at room temperature for 5 days. A simple coating technique involving the chemical cross-linkage of alginate by calcium was used. Statistical-based experimental designs were applied to improve the quality of the alginate-coated apple cubes (ACAC). Plackett-Burman design was first used to determine the main factors influencing the preservation of the original weight, color, and texture of ACAC. Among these variables, alginate concentration ($X_1$), dipping time ($X_2$), and dipping temperature ($X_3$) significantly influenced the ACAC weight and color (confidence levels above 90%). Subsequently, the effects of the 3 main factors were further investigated by a central composite design. The polynomial models developed by response surface methodology were adequate to describe the relationships between the studied factors and the responses. Overall optimization conducted by superimposing the curves of the responses enabled the determination of an optimal range of the independent variables in which the five responses were simultaneously optimized. The point chosen as representative of this optimal area corresponded to $X_1=2.98%$, $X_2=0.85\;min$, and $X_3=55^{\circ}C$ and under these conditions the model predicted weight loss=0.522%, relative hardness=1.517, ${\Delta}E=1.423$, browning inhibition=93.403%, and ${\Delta}L=0.158$.

Determination of Initial Beam Parameters of Varian 2100 CD Linac for Various Therapeutic Electrons Using PRIMO

  • Maskani, Reza;Tahmasebibirgani, Mohammad Javad;Hoseini-Ghahfarokhi, Mojtaba;Fatahiasl, Jafar
    • Asian Pacific Journal of Cancer Prevention
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    • v.16 no.17
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    • pp.7795-7801
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    • 2015
  • The aim of the present research was to establish primary characteristics of electron beams for a Varian 2100C/D linear accelerator with recently developed PRIMO Monte Carlo software and to verify relations between electron energy and dose distribution. To maintain conformity of simulated and measured dose curves within 1%/1mm, mean energy, Full Width at Half Maximum (FWHM) of energy and focal spot FWHM of initial beam were changed iteratively. Mean and most probable energies were extracted from validated phase spaces and compared with related empirical equation results. To explain the importance of correct estimation of primary energy on a clinical case, computed tomography images of a thorax phantom were imported in PRIMO. Dose distributions and dose volume histogram (DVH) curves were compared between validated and artificial cases with overestimated energy. Initial mean energies were obtained of 6.68, 9.73, 13.2 and 16.4 MeV for 6, 9, 12 and 15 nominal energies, respectively. Energy FWHM reduced with increase in energy. Three mm focal spot FWHM for 9 MeV and 4 mm for other energies made proper matches of simulated and measured profiles. In addition, the maximum difference of calculated mean electrons energy at the phantom surface with empirical equation was 2.2 percent. Finally, clear differences in DVH curves of validated and artificial energy were observed as heterogeneity indexes were 0.15 for 7.21 MeV and 0.25 for 6.68 MeV. The Monte Carlo model presented in PRIMO for Varian 2100 CD was precisely validated. IAEA polynomial equations estimated mean energy more accurately than a known linear one. Small displacement of R50 changed DVH curves and homogeneity indexes. PRIMO is a user-friendly software which has suitable capabilities to calculate dose distribution in water phantoms or computerized tomographic volumes accurately.

Optimum Dietary Lipid Level in Juvenile River Puffer Takifugu obscurus (치어기 황복(Takifugu obscurus) 사료 내 적정 지질 함량)

  • Yoo, Gwangyeol;Bai, Sungchul C.
    • Journal of Fisheries and Marine Sciences Education
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    • v.26 no.4
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    • pp.859-867
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    • 2014
  • This study was conducted to evaluate the optimum dietary lipid level in juvenile river puffer. Five semi-purified diets were formulated with corn oil to contain graded levels of lipid levels of 6, 9, 12, 15 and 18%. Fish averaging $8.32{\pm}0.02$ g randomly were fed the experimental diets in triplicate groups for 8 weeks. After the 8-weeks feeding trial, weight gain and specific growth rate of fish fed the 9% diet were significantly higher than those of fish fed the 15 and 18% diets (P<0.05) but there was not significantly different from that of fish fed the 6, 9 and 12% diets. Feed efficiency and protein efficiency ratio of fish fed the 6, 9 and 12% diets were significantly higher than those of fish fed the 18% diet (P<0.05). Visceralsomatic index of fish fed 18% diet was significantly higher than that of fish fed the 6% diet (P <0.05) but there was not significantly different from that of fish fed the 9, 12, 15 and 18% diets. No significant differences were observed in condition factor, hepatosomatic index and whole body composition among all the fish groups. Serum cholesterol and triglyceride fish fed of 18% diet were significantly higher than that of fish fed the other diets (P<0.05). Optimum dietary lipid levels by using broken-line model and by using second order polynomial were estimated at 7.01% and 8.98% for the maximum growth of fish respectively. Therefore, these results suggested that the optimum dietary lipid level could be greater than 7.01% but less than 8.98% for the maximum growth in juvenile river puffer.

Optimum Dietary Protein level in Juvenile River Puffer Takifugu obscurus (치어기 황복(Takifugu obscurus) 사료 내 적정 단백질 함량)

  • Yoo, Gwangyeol;Yun, Hyeonho;Bai, Sungchul C.
    • Journal of Fisheries and Marine Sciences Education
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    • v.26 no.4
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    • pp.915-922
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    • 2014
  • This study was conducted to evaluate the optimum dietary protein level in juvenile river puffer. Five semi-purified diets were formulated by using casein to contain graded levels of protein levels of 35, 45, 50, 55 and 65%. Fish averaging $8.56{\pm}0.04g$ were randomly assigned to one of five experimental diets in triplicate groups for 8 weeks. After the 8-weeks of feeding trial, weight gain and feed efficiency of fish fed 45, 50 and 55% diets were significantly higher than those of fish fed 35 and 65% diets (P<0.05). Protein efficiency ratio of fish fed the 35% diet was significantly higher than those of fish fed 65% diet (P<0.05), but there were no significant difference among those of fish fed 45, 50 and 55% diets. Specific growth rate of fish fed 50% diet was significantly higher than those of fish fed 35 and 65% diets (P<0.05), but there was no significant difference among those of fish fed 45, 50 and 55% diets. No significant differences were observed in condition factor, hepatosomatic index, visceralsomatic index and survival among those of fish fed all the diets. Optimum dietary protein levels by using broken-line model and by using second order polynomial were estimated at 45.9% and 51.6% for the maximum growth of fish respectively. Therefore, these results suggested that the optimum dietary protein level could be greater than 45.9% but less than 51.6% for the maximum growth in juvenile river puffer.

Geolocation Spectrum Database Assisted Optimal Power Allocation: Device-to-Device Communications in TV White Space

  • Xue, Zhen;Shen, Liang;Ding, Guoru;Wu, Qihui
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.12
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    • pp.4835-4855
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    • 2015
  • TV white space (TVWS) is showing promise to become the first widespread practical application of cognitive technology. In fact, regulators worldwide are beginning to allow access to the TV band for secondary users, on the provision that they access the geolocation database. Device-to-device (D2D) can improve the spectrum efficiency, but large-scale D2D communications that underlie TVWS may generate undesirable interference to TV receivers and cause severe mutual interference. In this paper, we use an established geolocation database to investigate the power allocation problem, in order to maximize the total sum throughput of D2D links in TVWS while guaranteeing the quality-of-service (QoS) requirement for both D2D links and TV receivers. Firstly, we formulate an optimization problem based on the system model, which is nonconvex and intractable. Secondly, we use an effective approach to convert the original problem into a series of convex problems and we solve these problems using interior point methods that have polynomial computational complexity. Additionally, we propose an iterative algorithm based on the barrier method to locate the optimal solution. Simulation results show that the proposed algorithm has strong performance with high approximation accuracy for both small and large dimensional problems, and it is superior to both the active set algorithm and genetic algorithm.

Optimization of Subcritical Water Hydrolysis of Rutin into Isoquercetin and Quercetin

  • Kim, Dong-Shin;Lim, Sang-Bin
    • Preventive Nutrition and Food Science
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    • v.22 no.2
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    • pp.131-137
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    • 2017
  • Maximum production of isoquercetin and quercetin simultaneously from rutin by subcritical water hydrolysis (SWH) was optimized using the response surface methodology. Hydrolysis parameters such as temperature, time, and $CO_2$ pressure were selected as independent variables, and isoquercetin and quercetin yields were selected as dependent variables. The regression models of the yield of isoquercetin and quercetin were valid due to the high F-value and low P-value. Furthermore, the high regression coefficient indicated that the polynomial model equation provides a good approximation of experimental results. In maximum production of isoquercetin from rutin, the hydrolysis temperature was the major factor, and the temperature or time can be lower if the $CO_2$ pressure was increased high enough, thereby preventing the degradation of isoquercetin into quercetin. The yield of quercetin was considerably influenced by temperature instead of time and $CO_2$ pressure. The optimal condition for maximum production of isoquercetin and quercetin simultaneously was temperature of $171.4^{\circ}C$, time of 10.0 min, and $CO_2$ pressure of 11.0 MPa, where the predicted maximum yields of isoquercetin and quercetin were 13.7% and 53.3%, respectively. Hydrolysis temperature, time, and $CO_2$ pressure for maximum production of isoquercetin were lower than those of quercetin. Thermal degradation products such as protocatechuic acid and 2,5-dihydroxyacetophenone were observed due to pyrolysis at high temperature. It was concluded that rutin can be easily converted into isoquercetin and quercetin by SWH under $CO_2$ pressure, and this result can be applied for SWH of rutin-rich foodstuffs.

P-Version Model Based on Hierarchical Axisymmetric Element (계층적 축대칭요소에 의한 P-version모델)

  • Woo, Kwang Sung;Chang, Yong Chai;Jung, Woo Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4_1
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    • pp.67-76
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    • 1992
  • A hierarchical formulation based on p-version of the finite element method for linear elastic axisymmetric stress analysis is presented. This is accomplished by introducing additional nodal variables in the element displacement approximation on the basis of integrals of Legendre polynomials. Since the displacement approximation is hierarchical, the resulting element stiffness matrix and equivalent nodal load vectors are hierarchical also. The merits of the propoosed element are as follow: i) improved conditioning, ii) ease of joining finite elements of different polynomial order, and iii) utilizing previous solutions and computation when attempting a refinement. Numerical examples are presented to demonstrate the accuracy, efficiency, modeling convenience, robustness and overall superiority of the present formulation. The results obtained from the present formulation are also compared with those available in the literature as well as with the analytical solutions.

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A Turbo-Coded Modulation Scheme for Deep-Space Optical Communications (Deep-Space 광통신을 위한 터보 부호화 변조 기법)

  • Oh, Sang-Mok;Hwang, In-Ho;Lee, Jeong-Woo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.2C
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    • pp.139-147
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    • 2010
  • A novel turbo coded modulation scheme, called turbo-APPM, for deep space optical communications is constructed. The constructed turbo-APPM is a serial concatenations of turbo codes, an accumulator and a pulse position modulation (PPM), where turbo codes act as an outer code while the accumulator and the PPM act together as an inner code. The generator polynomial and the puncturing rule for generating turbo codes are chosen to show the low bit error rate. At the receiver, the joint decoding is performed by exchanging soft information iteratively between the inner decoder and the outer decoder. In the outer decoder, a local iterative decoding for turbo codes is conducted before transferring soft information to the inner decoder. Poisson distribution is used to model the deep space optical channel. It is shown by simulations that the constructed turbo-APPM provides coding gains over all previously proposed schemes such as LDPC-APPM, RS-PPM and SCPPM.