• Title/Summary/Keyword: Stability Alpha

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ON THE DIFFERENCE EQUATION $x_{n+1}\;=\;{\alpha}\;+\;{\frac {x^p_n}{x^p_{n-1}}}$

  • Aloqeili, Marwan
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.375-382
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    • 2007
  • We Study, firstly, the dynamics of the difference equation $x_{n+1}\;=\;{\alpha}\;+\;{\frac{x^p_n}{x^p_{n-1}}}$, with $p\;{\in}\;(0,\;1)\;and\;{\alpha}\;{\in}\;[0,\;{\infty})$. Then, we generalize our results to the (k + 1)th order difference equation $x_{n+1}\;=\;{\alpha}\;+\;{\frac{x^p_n}{nx^p_{n-k}}$, $k\;=\;2,\;3,\;{\cdots}$ with positive initial conditions.

The Dispersion Stability of $\alpha-Fe_2O_3$ Particulate Soil in the Anionic/Nonionic Mixed Surfactant Solution (음/비이온계 혼합계면활성제 용액에서 $\alpha-Fe_2O_3$ 입자의 분산안정성)

  • 정선영;강인숙
    • Journal of the Korean Society of Clothing and Textiles
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    • v.28 no.6
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    • pp.854-861
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    • 2004
  • To estimate dispersion stability of particles in anionic and nonionic surfactant mixed solution, suspending power was examined as functions of duration time of suspension, ionic and nonionic surfactant mixed ratio, surfactant concentration, kinds of electrolyte, ionic strength and mole numbers of oxyethylene additions to nonionic surfactant using $\alpha$-Fe$_2$O$_3$ particle as the model of particulate soil. The suspending power of anionic and nonionic surfactant mixed solution was relatively higher than that of anionic and nonionic surfactant single solution regardless of solution concentration. The suspending power was gradually decreased with increasing duration time of suspension. In the absence of electrolyte, the effect of surfactant concentration on suspending power was small but in solution with electrolyte, suspending power was lowest at 1 % surfactant concentration. With 1${\times}$10$^{-3}$ ionic strength and polyanionic electrolyte in solution, the suspending power was high but effects of oxyethylene mole number to nonionic surfactant on suspending power was small. Generally the suspending power was gradually increased with decreasing the particle size. Hence the suspending power was inversely related to the particle size.

Emulsifying Character of $\alpha$-Glucosidase Inhibitor Produced from Bacillus lentimorbus B-6 (Bacillus lentimorbus B-6 균주로부터 생산된 $\alpha$-Glucosidase 억제제의 생물 유화제로서의 특성)

  • Yang, Young-Joon;Kim, Kyoung-Ja
    • YAKHAK HOEJI
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    • v.53 no.3
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    • pp.114-118
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    • 2009
  • Bioemulsifiers are those chemicals which are produced from microorganisms but which have both hydrophilic and hydrophobic groups. $\alpha$-Glucosidase inhibitor ($\alpha$-GI) produced from Bacillus lentimorbus B-6 (B-6) showed bioemulsifying activity. But $\beta$-glucosidase inhibitor produced from B-6 didn't show emulsifying activity. $\alpha$-GI was purified from supernatant of B-6 grown in minimal culture medium containing glucose and sodium glutamate by Sephadex G-100 column chromatography and isolated from $\beta$-GI by dialysis against water. Toluene was determined as the best substrate for emulsifying activity of $\alpha$-GI. $\alpha$-GI showed thermostability at $100^{\circ}C$ for 15 min, high salt tolerance up to 32% NaCl and wide range of pH-stability at pH $4\sim10$. Emulsifying character of $\alpha$-GI can be useful for the liposome formation for the treatment of diabetes mellitus.

ON THE RATIONAL RECURSIVE SEQUENCE $x_{n+1}=\frac{{\alpha}x_n+{\beta}x_{n-1}+{\gamma}x_{n-2}+{\delta}x_{n-3}}{Ax_n+Bx_{n-1}+Cx_{n-2}+Dx_{n-3}}$

  • Zayed E.M.E.;El-Moneam M.A.
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.247-262
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    • 2006
  • The main objective of this paper is to study the boundedness character, the periodic character and the global stability of the positive solutions of the following difference equation $x_{n+1}=\frac{{\alpha}x_n+{\beta}x_{n-1}+{\gamma}x_{n-2}+{\delta}x_{n-3}}{Ax_n+Bx_{n-1}+Cx_{n-2}+Dx{n-3}}$, n=0, 1, 1, ... where the coefficients A, B, C, D, ${\alpha},\;{\beta},\;{\gamma},\;{\delta}$ and the initial conditions x-3, x-2, x-1, x0 are arbitrary positive real numbers.

A Stability Estimation Method of HVDC System Using Reduced Model (축약모델을 이용한 HVDC시스템의 안정도 평가)

  • Kim Chan-Ki;Lim Seong-Joo;Choo Jin-Boo
    • The Transactions of the Korean Institute of Power Electronics
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    • v.10 no.1
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    • pp.1-12
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    • 2005
  • This paper deals with the HVDC stability according to controller types and control modes. From the viewpoint of controllers, the HVDC system which has PI, PD and PID, is designed considering the system response and stability. Also the HVDC system consists of multi-control modes like voltage control, current control and alpha control. Therefore, the HVDC stability analysis have to consider the above control modes and controller types. In this paper, the reduced model of HVDC control is analyzed in PSS/E(Power System Simulation/Engineering) and PSCAD/EMTDC.

The Stability of Yin-Yang Temperament in Middle School Students (중학생에 있어서 음양 기질의 안정성)

  • Lee, Soo Jin;Chae, Han
    • Journal of Sasang Constitutional Medicine
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    • v.31 no.1
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    • pp.94-101
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    • 2019
  • Objectives The Yin-Yang construct was shown to have stable internal reliability or consistency using Sasang Personality Questionnaire (SPQ) throughout the various ages, however the study of stability over specific period of time was only conducted using adults. The purpose of the study was to examine the stability across the time using middle school students whose physical and psychological characteristics were most rapidly changing. Methods The 122 middle school students (65 boys and 57 girls) completed the SPQ at 1st year and 2nd year with one-year time difference. Cronbach's ${\alpha}$ and Pearson's correlation analysis were employed in order to show the internal consistency and stability over one-year interval after considering sex difference. Results The internal consistency of SPQ-T, SPQ-B, SPQ-C, SPQ-E using Cronbach's ${\alpha}$ were .61, .72, .28, .28 in 2016 and .62, .72, .26, .46 in 2017. The one-year test-retest reliability of SPQ-T, SPQ-B, SPQ-C, SPQ-E using Pearson's correlation analysis were .56, .61, .31, .23 in boys and .58, .63, .64, .29 in girls. Conclusion The current study showed the stability of Yin-Yang temperament across the one-year time suggesting that the Yin-Yang temperament is quite stable and measurable concept and the SPQ would be considered as an objective and reliable personality assessment.

The Flame Stability and the Emission Characteristics of Turbulent Premixed Flat Burner (난류예혼합 플랫버너의 화염 안정성 및 배출가스 특성)

  • Lee, Y.H.;Lee, J.S.;Lee, D.H.
    • Journal of the Korean Institute of Gas
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    • v.11 no.1 s.34
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    • pp.1-8
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    • 2007
  • The purpose of this study is to conduct a survey of the flame stability range and the emission characteristics for the optimum design of turbulent premixed flat burner. For that, the flame stability range was selected by the direct photography of the flame. And the mean temperature and CO, HC, $CO_{2}\;and\;O_{2}$ concentration distributions by changing the excess air ratio were measured. As results of this study, the flame stability range turned out to be getting narrower as fuel flow was increased. The blue flame mode was more excellent than any other flame modes in the emission characteristics by excess air ratio change. And the emission characteristics by fuel flow change were best at fuel flow 1l/min. Also, we found combustion noise during experiment of flame stability range. It had nothing do with excess air ratio range.

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Oxidative Stability of Deep-Fried Instant Noodle Prepared with Ricebran Oil Fortified by Adding Antioxidants or by Blending with Palm Oil (항산화제 또는 팜유로 보강된 미강유를 이용한 라면의 산화안정성)

  • Kang, Dong-Ho;Park, Hye-Kyung;Kim, Dong-Hoon
    • Korean Journal of Food Science and Technology
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    • v.21 no.3
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    • pp.409-418
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    • 1989
  • The oxidative stability of the ramyon prepared with ricebran oil fortified with ${\alpha}-tocopherol$, BHA, TBHQ, and ascorbyl palmitate+citric acid or blended with palm oil was studied to assess the suitability of the oil as the frying oil. The antioxidants were added to a ricebran oil at 0.02% level, respectively, while blended oils were prepared by adding a palm oil to the ricebran oil at ratios of 3:7, 5:5, and 7:3. Ramyon samples were prepared by frying steamed noodel with the oils. They were stored in dark at $35.0{\pm}0^{\circ}C$. for 90 days. Peroxide, acid, iodine values, dielectric constant, and fatty acid composition of the oils extracted from the samples were determined regularly. The oxidative stability of the extracted oils and storage stability of the samples were estimated from the results of the determinations. ${\alpha}-tocopherol$ did not exert any appreciable antioxidant effect on the extracted oil while BHA demonstrated some effect. Ascorbyl palmitate with citric acid and especially TBHQ exerted a considerable effect. The storage stability of the samples fried with the oil fortified with TBHQ was as good as that of the samples prepared with the palm oil. The stability of the samples improved as the palm oil content In the frying oil increased. The stability of the samples fried with the blended oil containing 70f) palm oil was comparable to that of the samples prepared with the pure palm oil

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Stabilization of Wheat $\beta$-Amylase by Modification with $IO_4$-Oxidized Starch ($IO_4$-산화전분 변형에 의한 밀 $\beta$-Amylase의 안정성 증가)

  • 안용근
    • The Korean Journal of Food And Nutrition
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    • v.13 no.4
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    • pp.348-352
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    • 2000
  • The stabilization of wheat $\beta$-amylase( Himaltosin GL, Hankyu-Bio) was attained by modification wish periodate-oxidized soluble starch. The specific activities of modified enzyme at pH 9.7 and pH 8.0 were 17% and 96%, respectively, compared with that of native enzyme. The pH stability of modified enzyme was increased at pH 2~5 and 6~12 in the presence of $\alpha$-cyclodextrin( $\alpha$-CD) compared with that of native enzyme, and optimum pH of the enzyme was changed from pH 5.0 to pH 7.0 by the modification. Thermal stability of the modified enzyme was increased. After treatment at 6$0^{\circ}C$ for 10min, the activity remained 8% for the enzyme modified at pH 8.0 in the presence of $\alpha$-CD and tested in the presence of $\alpha$-CD, 5% for the native enzyme. The native enzyme and modified enzyme showed one peak in HPLC. The molecular weight of the modified enzyme was slightly increased in HPLC analysis.

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