• Title/Summary/Keyword: Coefficient $\beta$

Search Result 675, Processing Time 0.025 seconds

Comparison of Ballistic-Coefficient-Based Estimation Algorithms for Precise Tracking of a Re-Entry Vehicle and its Impact Point Prediction

  • Moon, Kyung Rok;Kim, Tae Han;Song, Taek Lyul
    • Journal of Astronomy and Space Sciences
    • /
    • v.29 no.4
    • /
    • pp.363-374
    • /
    • 2012
  • This paper studies the problem of tracking a re-entry vehicle (RV) in order to predict its impact point on the ground. Re-entry target dynamics combined with super-high speed has a complex non-linearity due to ballistic coefficient variations. However, it is difficult to construct a database for the ballistic coefficient of a unknown vehicle for a wide range of variations, thus the reliability of target tracking performance cannot be guaranteed if accurate ballistic coefficient estimation is not achieved. Various techniques for ballistic coefficient estimation have been previously proposed, but limitations exist for the estimation of non-linear parts accurately without obtaining prior information. In this paper we propose the ballistic coefficient ${\beta}$ model-based interacting multiple model-extended Kalman filter (${\beta}$-IMM-EKF) for precise tracking of an RV. To evaluate the performance, other ballistic coefficient model based filters, which are gamma augmented filter, gamma bootstrapped filter were compared and assessed with the proposed ${\beta}$-IMM-EKF for precise tracking of an RV.

Characteristics, Mass Transfer Coefficient and Effectiveness Factor of $\beta$-glucosidase Immobilized on the Diazotized Chitin in Bioreactors (Diazotized Chitin에 고정된 $\beta$-glucosidase의 생물반응기에서의 특성, 물질전달계수 및 효율인자에 관한 연구)

  • 김종덕;이경희;서석수
    • Journal of the Korean Society of Food Science and Nutrition
    • /
    • v.20 no.5
    • /
    • pp.494-502
    • /
    • 1991
  • Diazotized chitin(CHITN) as supports of immobilized enzyme, which was obtained by alkaline hydrolysed chitin with NaN3 and HCI was employed to produce CHITN-Gase with glutaraldehyde as bifunctional reagent. Activities of CHITN-Gase were determined with reaction of p-nitro-pheol-$\beta$-D-glucopyranoside(PNG) in plug flow reactor as a reference of CHITA-Gase. Their optimum temperature, pH, Km and Vmax, mass transfer coefficient (h), effctiveness factor(η)were plotted with variation of flow rate and H/D. Mass transfer coefficient(h) of those enzymes increased because of their flux, as flow rates were increased and controlled by reaction rate. Effectiveness factor(η) of both enzymes were nearly 1.0.

  • PDF

Development of Electroconductive SiC Ceramic Heater by Spark Plasma Sintering (방전플라즈마 소결에 의한 자기 통전식 SiC계 세라믹 발열체 개발)

  • Shin, Yong-Deok;Choi, Won-Seok;Ko, Tae-Hun;Lee, Jung-Hoon;Ju, Jin-Young
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.58 no.4
    • /
    • pp.770-776
    • /
    • 2009
  • The composites were fabricated by adding 0, 15, 30, 45[vol.%] $ZrB_2$ powders as a second phase to SiC matrix. The physical, mechanical and electrical properties of electroconductive SiC ceramic composites by spark plasma sintering(SPS) were investigated. Reactions between ${\beta}$-SiC and $ZrB_2$ were not observed in the XRD and the phase analysis of the electroconductive SiC ceramic composites. The relative density of mono ${\beta}$-SiC, ${\beta}$-SiC+15[vol.%]$ZrB_2$, ${\beta}$-SiC+30[vol.%]$ZrB_2$ and ${\beta}$-SiC+45[vol.%]$ZrB_2$ composites are respectively 99.24[%], 87.53[%], 96.41[%] and 98.11[%] Phase analysis of the electroconductive SiC ceramic composites by XRD revealed mostly of ${\beta}$-SiC, $ZrB_2$ and weakly of $ZrO_2$ phase. The flexural strength showed the lowest of 114.44[MPa] for ${\beta}$-SiC+15[vol.%]$ZrB_2$ powders and showed the highest of 210.75[MPa] for composite no added with $ZrB_2$ powders at room temperature. The trend of the mechanical properties of the electroconductive SiC ceramic composites is accorded with the trend of the relative density. The electrical resistivity of the electroconductive SiC ceramic composites decreased with increased $ZrB_2$ contents. The electrical resistivity of mono ${\beta}$-SiC, ${\beta}$-SiC+15[vol.%]$ZrB_2$, ${\beta}$-SiC+30[vol.%]$ZrB_2$ and ${\beta}$-SiC+45[vol.%]$ZrB_2$ composites are respectively $4.57{\times}10^{-1},\;2.13{\times}10^{-1},\;2.68{\times}10^{-2}\;and\;1.99{\times}10^{-2}[{\Omega}{\cdot}cm]$ at room temperature. The electrical resistivity of mono ${\beta}$-SiC and ${\beta}$-SiC+15[vol.%]$ZrB_2$ are negative temperature coefficient resistance(NTCR) in temperature ranges from $25[^{\circ}C]\;to\; 100[^{\circ}C]$. The electrical resistivity of ${\beta}$-SiC+30[vol.%]$ZrB_2$ and ${\beta}$-SiC+45[vol.%]ZrB_2$ are positive temperature coefficient resistance(PTCR) in temperature ranges from $25[^{\circ}C]\;to\;100[^{\circ}C]$. It is convinced that ${\beta}$-SiC+30[vol.%]$ZrB_2$ composites by SPS for heater or ignitors can be applied.

On an Extension of Hardy-Hilbert's Inequality

  • Yang, Bicheng
    • Kyungpook Mathematical Journal
    • /
    • v.46 no.3
    • /
    • pp.425-431
    • /
    • 2006
  • In this paper, by introducing three parameters A, B and ${\lambda}$, and estimating the weight coefficient, we give a new extension of Hardy-Hilbert's inequality with a best constant factor, involving the Beta function. As applications, we consider its equivalent inequality.

  • PDF

STATIONARY $\beta-MIXING$ FOR SUBDIAGONAL BILINEAR TIME SERIES

  • Lee Oe-Sook
    • Journal of the Korean Statistical Society
    • /
    • v.35 no.1
    • /
    • pp.79-90
    • /
    • 2006
  • We consider the subdiagonal bilinear model and ARMA model with subdiagonal bilinear errors. Sufficient conditions for geometric ergodicity of associated Markov chains are derived by using results on generalized random coefficient autoregressive models and then strict stationarity and ,a-mixing property with exponential decay rates for given processes are obtained.

Back-calculation of Skin Friction Coefficient ($\alpha$, $\beta$) on a Single Pile by Long-Tenn Field Monitoring (현장 계측 사례를 통한 단독 말뚝의 주면마찰계수($\alpha$, $\beta$ 계수) 역산정)

  • Ko, Jun-Young;Kim, Young-Ho;Choi, Yong-Kyu;Jeong, Sang-Seom
    • Journal of the Korean Geotechnical Society
    • /
    • v.26 no.11
    • /
    • pp.99-110
    • /
    • 2010
  • A fundamental study of the pile-soil systems subjected to negative skin friction in soft soil was conducted using the long-term field measurements. The emphasis was on the identification of the magnitude and distribution of skin frictions ($\alpha$ and $\beta$ coefficients) in bitumen coated and uncoated piles. A skin friction coefficient of instrumented piles is back-calculated by varying degrees of consolidation (U) of surrounding soils. It is shown that the bitumen coated pile is capable of reducing the negative skin friction up to almost 50 to 90 percents. Through comparisons with the existing friction coefficient values ($\alpha$ and $\beta$ coefficients), the calculated coefficients are within the appropriate range, and thus we can suggest basic materials to estimate the realistic pile behavior in the short-term and long-term analysis.

Effect of Temperature, Solvent Concentration, and pH on the β-Glucan Extraction (β-Glucan 추출에 미치는 온도, 용매 농도 및 pH의 영향)

  • Lee, Sang Hoon;Jang, Gwi Yeong;Kim, Kee Jong;Lee, Mi Ja;Kim, Tae Jip;Lee, Junsoo;Jeong, Heon Sang
    • The Korean Journal of Food And Nutrition
    • /
    • v.25 no.4
    • /
    • pp.871-877
    • /
    • 2012
  • This study investigated the effects of temperature, solvent concentration, and pH on the ${\beta}$-glucan extraction. Oat bran ${\beta}$-glucan was extracted with different extraction conditions, using various combinations of experiment factors, such as temperature (40, 45, 50, 55, and $60^{\circ}C$), ethanol concentration (0, 5, 10, 15, and 20%), and pH (5, 6, 7, 8, and 9). Under the various extraction conditions, ${\beta}$-glucan extraction rate and overall mass transfer coefficient of oat bran ${\beta}$-glucan, and viscosity of oat bran extracts were investigated. As increasing the extraction time, the extraction rate of ${\beta}$-glucan increased. The overall mass transfer coefficient of ${\beta}$-glucan ranged from $3.36{\times}10^{-6}$ to $8.55{\times}10^{-6}cm/min$, indicating the lowest at the extraction condition of $45^{\circ}C$, 15% and pH 8, and the highest at $50^{\circ}C$, 0% and pH 7. It was significantly greater with increasing extraction temperature and decreasing ethanol concentrations of extraction solvent, except for solvent pH. There were positive correlations among the overall mass transfer coefficient, the extraction rate of ${\beta}$-glucan, and the viscosity of extract.

Complexation and Properties of Omeprazole with Hydroxypropyl-$\beta$-cyclodextrin (오메프라졸과 Hydroxypropyl-$\beta$-cyclodextrin의 포접화합물의 형성과 특성)

  • 이계주;황성주;이기명
    • YAKHAK HOEJI
    • /
    • v.37 no.4
    • /
    • pp.331-340
    • /
    • 1993
  • Inclusion complex of omeprazole(OMZ) with hydroxypropyl-$\beta$-cyclodextrin(HP-$\beta$-CD) was prepared by freeze-drying method. The complexation was confirmed by means of UV, CD, IR, DSC, XRD and $^{1}$H-NMR spectra. The benzimidazole moiety of OMZ might be found to be included into the cavity of HP-$\beta$-CD and the inclusion complex appeared to be $A_{L}$ type. The stoichiometric ratio of OMZ : HP-$\beta$-CD was found to be 1:1, and the stability constants of the inclusion complex by solubility and UV method were about 34 and 45 M$^{-1}$, respectively. The dissolution of OMZ was significantly enhanced from powder and. yablet of OMZ-HP-$\beta$-CD complex when compared to those of OMZ alone, and oil-to-water partition coefficient of OMZ-HP-$\beta$-CD complex was significantly higher than that of OMZ alone. Therefore, it was expected that the bioavailability of OMZ could be improved markedly by inclusion complexation of OMZ with HP-$\beta$-CD.

  • PDF

The Mixing Properties of Subdiagonal Bilinear Models

  • Jeon, H.;Lee, O.
    • Communications for Statistical Applications and Methods
    • /
    • v.17 no.5
    • /
    • pp.639-645
    • /
    • 2010
  • We consider a subdiagonal bilinear model and give sufficient conditions for the associated Markov chain defined by Pham (1985) to be uniformly ergodic and then obtain the $\beta$-mixing property for the given process. To derive the desired properties, we employ the results of generalized random coefficient autoregressive models generated by a matrix-valued polynomial function and vector-valued polynomial function.

Testing General Linear Constraints on the Regression Coefficient Vector : A Note

  • Jeong, Ki-Jun
    • Journal of the Korean Statistical Society
    • /
    • v.8 no.2
    • /
    • pp.107-109
    • /
    • 1979
  • Consider a linear model with n observations and k explanatory variables: (1)b $y=X\beta+u, u\simN(0,\sigma^2I_n)$. We assume that the model satisfies the ideal conditions. Consider the general linear constraints on regression coefficient vector: (2) $R\beta=r$, where R and r are known matrices of orders $q\timesk$ and q\times1$ respectively, and the rank of R is $qk+q$.

  • PDF