• Title/Summary/Keyword: quadratic effects

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Efficacy evaluation of novel organic iron complexes in laying hens: effects on laying performance, egg quality, egg iron content, and blood biochemical parameters

  • Jiuai Cao;Jiaming Zhu;Qin Zhou;Luyuan Zhao;Chenhao Zou;Yanshan Guo;Brian Curtin;Fei Ji;Bing Liu;Dongyou Yu
    • Animal Bioscience
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    • v.36 no.3
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    • pp.498-505
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    • 2023
  • Objective: This study was conducted to determine the optimal dose of novel iron amino acid complexes (Fe-Lys-Glu) by measuring laying performance, egg quality, egg iron (Fe) concentrations, and blood biochemical parameters in laying hens. Methods: A total of 1,260 18-week-old healthy Beijing White laying hens were randomly divided into 7 groups with 12 replicates of 15 birds each. After a 2-wk acclimation to the basal diet, hens were fed diets supplemented with 0 (negative control, the analyzed innate iron content was 75.06 mg/kg), 15, 30, 45, 60, and 75 mg Fe/kg as Fe-Lys-Glu or 45 mg Fe/kg from FeSO4 (positive control) for 24 wk. Results: Results showed that compared with the negative and positive control groups, dietary supplementation with 30 to 75 mg Fe/kg from Fe-Lys-Glu significantly (linear and quadratic, p<0.05) increased the laying rate (LR) and average daily egg weight (ADEW); hens administered 45 to 75 mg Fe/kg as Fe-Lys-Glu showed a remarkable (linear, p<0.05) decrease in feed conversion ratio. There were no significant differences among all groups in egg quality. The iron concentrations in egg yolk and serum were elevated by increasing Fe-Lys-Glu levels, and the highest iron content was found in 75 mg Fe/kg group. In addition, hens fed 45 mg Fe/kg from Fe-Lys-Glu had (linear and quadratic, p<0.05) higher yolk Fe contents than that with the same dosage of FeSO4 supplementation. The red blood cell (RBC) count and hemoglobin content (linear and quadratic, p<0.05) increased obviously in the groups fed with 30 to 75 mg Fe/kg as Fe-Lys-Glu in comparison with the control group. Fe-Lys-Glu supplementation also (linear and quadratic, p<0.05) enhanced the activity of copper/zinc-superoxide dismutase (Cu/Zn-SOD) in serum, as a result, the serum malonaldehyde content (linear and quadratic, p<0.05) decreased in hens received 60 to 75 mg Fe/kg as Fe-Lys-Glu. Conclusion: Supplementation Fe-Lys-Glu in laying hens could substitute for FeSO4 and the optimal additive levels of Fe-Lys-Glu are 45 mg Fe/kg in layers diets based on the quadratic regression analysis of LR, ADEW, RBC, and Cu/Zn-SOD.

Nonlinear in-plane free oscillations of suspended cable investigated by homotopy analysis method

  • Zhao, Yaobing;Sun, Ceshi;Wang, Zhiqian;Peng, Jian
    • Structural Engineering and Mechanics
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    • v.50 no.4
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    • pp.487-500
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    • 2014
  • An analytical solution for the nonlinear in-plane free oscillations of the suspended cable which contains the quadratic and cubic nonlinearities is investigated via the homotopy analysis method (HAM). Different from the existing analytical technique, the HAM is indeed independent of the small parameter assumption in the nonlinear vibration equation. The nonlinear equation is established by using the extended Hamilton's principle, which takes into account the effects of the geometric nonlinearity and quasi-static stretching. A non-zero equilibrium position term is introduced due to the quadratic nonlinearity in order to guarantee the rule of the solution expression. Therefore, the mth-order analytic solutions of the corresponding equation are explicitly obtained via the HAM. Numerical results show that the approximate solutions obtained by using the HAM are in good agreement with the numerical integrations (i.e., Runge-Kutta method). Moreover, the HAM provides a simple way to adjust and control the convergent regions of the series solutions by means of an auxiliary parameter. Finally, the effects of initial conditions on the linear and nonlinear frequency ratio are investigated.

Projection analysis for two-way variance components (이원 분산성분의 사영분석)

  • Choi, Jaesung
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.547-554
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    • 2014
  • This paper discusses a method of estimating variance components for random effects model. Henderson's method I and III are discussed for the esimation of variance components. This paper shows how to use projections instead of using Henderson's methods for the calculation of sums of squares which are quadratic forms in the observations. It also discusses that eigenvalues can be used for getting the expectations of sums of squares in place of using the method of Hartley's synthesis. It shows the suggested method is much more effective than those methods.

Estimation of Maximum Loadability in Power Systems By Using Elliptic Properties of P-e Curve (P-e 곡선의 타원 특성을 이용한 전력계통 최대허용부하의 예측)

  • Moon, Young-Hyun;Choi, Byoung-Kon;Cho, Byoung-Hoon;Lee, Tae-Shik
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.1
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    • pp.22-30
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    • 1999
  • This paper presents an efficient algorithm to estimate the maximum load level for heavily loaded power systems with the load-generation vector obtained by ELD (Economic Load Dispach) and/or short term load forecasting while utilizing the elliptic pattern of the P-e curve. It is well known the power flow equation in the rectangular corrdinate is jully quadratic. However, the coupling between e and f makes it difficult to take advantage of this quadratic characteristic. In this paper, the elliptic characteristics of P-e curve are illustrated and a simple technique is proposed to reflect the e-f coupling effects on the estimation of maximum loadability with theoretical analysis. An efficient estimation algorithm has been developed with the use of the elliptic properties of the P-e curve. The proposed algorithm is tested on IEEE 14 bus system, New England 39 bus system and IEEE 118 bus system, which shows that the maximum load level can be efficiently estimated with remarkable improvement in accuracy.

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High resolution Linear Encoder Using Interference Fringe (레이저의 간섭무늬를 이용한 리니어 엔코더에 관한 연구)

  • 박윤창
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.4
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    • pp.130-135
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    • 1999
  • The main scale of linear encoder greatly effects on the precision of displacement measurement. Especially when needing the long range measurement the length of main scale should be increased accordingly. In this paper we propose a linear encoder that uses laser interference pattern as main scale for long range measurement. The linear encoder is similar to Michelson interferometer excepting that the reference mirror is tilted so as to obtain interference fringe pattern and a grating panel is attached on a quadratic photo diodes. Four kinds of grating having phase difference of 0. $\pi$/4, $\pi$/2, 3$\pi$/4 are arranged on the panel. The experimental results show that signals of quadratic photo diode A, B, {{{{ {-}atop {A } }}}} and {{{{ {- } atop {B } }}}} are cosine wavelike and successive signals have phase difference of $\pi$/4 each other. So the proposed method can achieve improved measurement resolution.

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Control of a Flexible Link with Time Delays

  • Choi, Hyoun-Chul;Hong, Suk-Kyo
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1136-1141
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    • 2004
  • This paper presents a control method for time-delay systems and verifies the performance of the designed control system via real experiments. Specifically, the control method is applied to a flexible-link system with time delays. The method combines time- and frequency-domain controllers: linear quadratic optimal controller (or LQR) and lag compensator. The LQR is used to stabilize the system in optimal fashion, whereas the lag compensator is used to compensate time-delay effects by increasing the delay margin of the system. With this methodology, the maximum allowable time delay can be increased significantly. The proposed method is simple but quite practical for time-delay system control as it is based on the conventional loop-shaping method, which gives practical insights on delay-phase relationship. Simulation and experiment results show that the method presented in this paper is feasible and practical.

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Optimal Design of Accelerated Life Tests under Model Uncertainty (불확정 모형하에서 가속수명시험의 최적 설계)

  • 서순근;하천수;김갑석
    • Journal of Korean Society for Quality Management
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    • v.29 no.3
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    • pp.49-65
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    • 2001
  • This paper presents new compromise ALT plan which is applied to situations that true relationship between stress and parameters is not known exactly. The assumed failure distribution of this study is one of location-scale family, i. e., exponential, Weibull, and lognormal distributions which have been ones of the popular choices of failure distributions. The method of applying the stress is constant, and the censoring mechanism is Type I censoring. Compared with existing compromise plans under true simple linear model in terms of statistical efficiency, the efficiency of new compromise plan is better than the corresponding other compromise ones in most cases. For case when true model is quadratic, this plan can be used without any severe loss in statistical efficiency. The proposed new compromise ALT plan is illustrated with a numerical example and sensitivity analyses are conducted to study effects of pre-estimates of design parameters.

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A NEW METHOD OF LQ INTEGRAL CONTROL, FOR NONMINIMUM PHASE SYSTEMS

  • Kwon, Byung-Moon;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.79-82
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    • 1999
  • The right half plane (RHP) zeros may cause severe problems, such as undershoots, oscillations and time delay in the transient response of the systems. In this paper, we formulate a linear quadratic type problem to deal with the effects of the RHP zeros in the nonminimum phase systems. Based on the LQ formulation, this paper shows the trade-off relation between undershoot and rising time performances in nonminimum phase systems by using a new performance index which consists of new state and tracking error. And performances of the proposed method are shown via computer simulations.

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Powering Analysis of Oscillating Foil Moving in Propagating Wave Flow Field (전파하는 파동유장 중 전진하며 동요하는 2차원 날개의 동력해석)

  • Choi, Yoon-Rak
    • Journal of Ocean Engineering and Technology
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    • v.33 no.3
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    • pp.229-235
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    • 2019
  • In this study, a two-dimensional oscillating foil with forward speed in a propagating wave flow field was considered. The time-mean power to maintain the heaving and pitching motions of the foil was analyzed using the perturbation theory in an ideal fluid. The power, which was a non-linear quantity of the second-order, was expressed in terms of the quadratic transfer functions related to the mutual product of the heaving and pitching motions and incoming vertical flow. The effects of the pivot point and phase difference among the disturbances were studied. The negative power, which indicates energy extraction from the fluid, is shown as an example calculation.

Effects of Dietary Probiotic Complex on Growth Performance, Blood Immunological Parameters and Fecal Malodor Gas Emission in Growing Pigs (복합 생균제 첨가가 육성돈의 생산성, 면역관련 혈액학적 지표 및 분내 유해가스 발생에 미치는 영향)

  • Jang, H.D.;Kim, H.J.;Cho, J.H.;Chen, Y.G.;Yoo, J.S.;Kim, I.H.
    • Journal of Animal Science and Technology
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    • v.49 no.4
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    • pp.501-508
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    • 2007
  • This study was conducted to evaluate effect of probiotic complex(Lactobacillus acidophilus, Bacillus subtilis and Aspergillus oryzae) on growth performance, blood immunological parameters and fecal malodor gas emissions in growing pigs. Forty-eight pigs[(Landrace × Yorkshire) × Duroc, 25.31±1.29kg average initial body weight] were used in 35d growth trial. Dietary treatments included CON(basal diet), PC1(basal diet + 0.1% probiotic complex) and PC2(basal diet + 0.2% probiotic complex). From d 0 to 20, ADFI was significantly increased in PC1 and PC2 compared to CON(Linear effect, P=0.013). From d 21 to 35, ADFI was increased in PC1 compared to CON(Quadratic effect, P=0.024). For the whole period, ADFI was increased PC2 and PC1 compared to CON(Linear effect, P=0.009, Quadratic effect, P=0.004). For the whole period, ADG was increased in PC1 compared to CON(Quadratic effect, P=0.017). G/F was not affected by treatments. Dry matter digestibility in PC2 was higher than PC1 and CON(Linear effect, P=0.001). Nitrogen digestibility was significantly higher in PC2 and PC1 than CON(Linear effect, P=0.005). In blood immunological parameters, Total protein, IgG, red blood cell(RBC) and white blood cell(WBC) were increased in PC2 compared to PC1 and CON(Linear effect, P<0.001, Quadratic effect, P<0.001). In fecal malodor gas emission, ammonia and acetic acid were significantly reduced in PC2 compared to CON(Linear effect, P<0.02). Hydrogen sulfide was significantly reduced in PC2 compared to CON(Linear effect, P=0.0002, Quadratic effect, P=0.018). However, total mercaptans was not affected by treatments. Water content of feces was not significantly different among the treatments. In conclusion, 0.2 % probiotic complex improved ADFI, apparent dry matter and nitrogen digestibility, Total protein, IgG, RBC and WBC. Also, it decreased ammonia, acetic acid and hydrogen sulfide emissions in growing pigs.