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1

Foss, Donald J. "Janet Taylor Spence: A Model Role Model." Sex Roles 77, no. 11-12 (September 26, 2017): 751–56. http://dx.doi.org/10.1007/s11199-017-0840-1.

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2

Kuhlmann, H. "Model for Taylor-Couette flow." Physical Review A 32, no. 3 (September 1, 1985): 1703–7. http://dx.doi.org/10.1103/physreva.32.1703.

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3

Aref, Hassan, and Grétar Tryggvason. "Model of Rayleigh-Taylor Instability." Physical Review Letters 62, no. 7 (February 13, 1989): 749–52. http://dx.doi.org/10.1103/physrevlett.62.749.

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4

Kamchibekov, M. D. "Model of the taylor instability." Journal of Applied Mechanics and Technical Physics 26, no. 6 (1986): 788–93. http://dx.doi.org/10.1007/bf00919525.

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5

Journal, Baghdad Science. "ON NAIVE TAYLOR MODEL INTEGRATION METHOD." Baghdad Science Journal 6, no. 1 (March 1, 2009): 222–30. http://dx.doi.org/10.21123/bsj.6.1.222-230.

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Interval methods for verified integration of initial value problems (IVPs) for ODEs have been used for more than 40 years. For many classes of IVPs, these methods have the ability to compute guaranteed error bounds for the flow of an ODE, where traditional methods provide only approximations to a solution. Overestimation, however, is a potential drawback of verified methods. For some problems, the computed error bounds become overly pessimistic, or integration even breaks down. The dependency problem and the wrapping effect are particular sources of overestimations in interval computations. Berz (see [1]) and his co-workers have developed Taylor model methods, which extend interval arithmetic with symbolic computations. The latter is an effective tool for reducing both the dependency problem and the wrapping effect. By construction, Taylor model methods appear particularly suitable for integrating nonlinear ODEs. In this paper, we analyze Taylor model based integration of ODEs and compare Taylor model with traditional enclosure methods for IVPs for ODEs. More advanced Taylor model integration methods are discussed in the algorithm (1). For clarity, we summarize the major steps of the naive Taylor model method as algorithm 1.
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6

MIKELIĆ, ANDRO, and C. J. VAN DUIJN. "RIGOROUS DERIVATION OF A HYPERBOLIC MODEL FOR TAYLOR DISPERSION." Mathematical Models and Methods in Applied Sciences 21, no. 05 (May 2011): 1095–120. http://dx.doi.org/10.1142/s0218202510005264.

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In this paper, we upscale the classical convection-diffusion equation in a narrow slit. We suppose that the transport parameters are such that we are in Taylor's regime, i.e. we deal with dominant Péclet numbers. In contrast to the classical work of Taylor, we undertake a rigorous derivation of the upscaled hyperbolic dispersion equation. Hyperbolic effective models were proposed by several authors and our goal is to confirm rigorously the effective equations derived by Balakotaiah et al. in recent years using a formal Lyapounov–Schmidt reduction. Our analysis uses the Laplace transform in time and an anisotropic singular perturbation technique, the small characteristic parameter ε being the ratio between the thickness and the longitudinal observation length. The Péclet number is written as Cε-α, with α < 2. Hyperbolic effective model corresponds to a high Péclet number close to the threshold value when Taylor's regime turns to turbulent mixing and we characterize it by assuming 4/3 < α < 2. We prove that the difference between the dimensionless physical concentration and the effective concentration, calculated using the hyperbolic upscaled model, divided by ε2-α (the local Péclet number) converges strongly to zero in L2-norm. For Péclet numbers considered in this paper, the hyperbolic dispersion equation turns out to give a better approximation than the classical parabolic Taylor model.
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7

Ofer, D., U. Alon, D. Shvarts, R. L. McCrory, and C. P. Verdon. "Modal model for the nonlinear multimode Rayleigh–Taylor instability." Physics of Plasmas 3, no. 8 (August 1996): 3073–90. http://dx.doi.org/10.1063/1.871655.

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8

Estévez, A. "Slab model for Rayleigh–Taylor instability." Laser and Particle Beams 14, no. 3 (September 1996): 449–71. http://dx.doi.org/10.1017/s0263034600010144.

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A modelization of the Rayleigh–Taylor instability, in the context of inertial confinement fusion, is made by means of a planar slab model whose main features are a sharp ablation front separating the slab and the expanding corona, absorption of constant intensity laser light at a critical surface, profiles for background flow variables consistent with hydrodynamic equations, and heat conduction present in the expanding corona. A sharp ablation front assumption (density at the critical surface is much less than the slab density, ρc/ρs ≪ 1) supposes that the ablated mass is small, so the model is valid for thick targets. Two main regimes are modelized, subsonic and sonic absorption. The growth rate of the instability is obtained, and its variation with kD and kxc is studied (k = perturbation wavenumber; D = slab thickness; xc = ablation to critical surfaces distance). The model shows stabilization over the classical Rayleigh–Taylor growth rate (γ = √kg). The stabilization mechanism is based on heat conduction near the ablation front.
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9

Camacho, J. "Purely global model for Taylor dispersion." Physical Review E 48, no. 1 (July 1, 1993): 310–21. http://dx.doi.org/10.1103/physreve.48.310.

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10

Saville, D. A. "ELECTROHYDRODYNAMICS:The Taylor-Melcher Leaky Dielectric Model." Annual Review of Fluid Mechanics 29, no. 1 (January 1997): 27–64. http://dx.doi.org/10.1146/annurev.fluid.29.1.27.

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11

Roberts, Paul H. "From taylor state to model-Z?" Geophysical & Astrophysical Fluid Dynamics 49, no. 1-4 (December 1989): 143–60. http://dx.doi.org/10.1080/03091928908243469.

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12

Braginsky, Stanislav I., and Paul H. Roberts. "From Taylor state to model-Z." Geophysical & Astrophysical Fluid Dynamics 77, no. 1-4 (December 1994): 3–13. http://dx.doi.org/10.1080/03091929408203672.

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13

Veigend, Petr, Gabriela Nečasová, and Václav Šátek. "Model of the telegraph line and its numerical solution." Open Computer Science 8, no. 1 (June 28, 2018): 10–17. http://dx.doi.org/10.1515/comp-2018-0002.

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Abstract This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then based on an original mathematical method. This method uses the Taylor series for solving ordinary differential equations with initial condition - initial value problems in a non-traditional way. Systems of ordinary differential equations are solved using variable order, variable step-size Modern Taylor Series Method. The Modern Taylor Series Method is based on a recurrent calculation of the Taylor series terms for each time interval. The second part of paper presents the solution of linear problems which comes from the model of telegraph line. All experiments were performed using MATLAB software, the newly developed linear solver that uses Modern Taylor Series Method. Linear solver was compared with the state of the art solvers in MATLAB and SPICE software.
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14

Tulin, Marshall P. "Dedication to Professor Touvia Miloh." Journal of Ship Research 49, no. 04 (December 1, 2005): 234–35. http://dx.doi.org/10.5957/jsr.2005.49.4.234.

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Those of us working in ship hydrodynamics are fortunate that the talents of Touvia Miloh were attracted to problems in our own field. This is evidently the influence of Professor Louis Landweber, his Ph.D. supervisor at the University of Iowa, who had spent half his career at the Taylor Model Basin as well as at Admiral Taylor's Experimental Model Basin at the Washington Naval Yard. Taylor was trained at the turn of the 19th century in Britain by Robert Froude, and Landweber was among the first Americans with decided analytical talent to work in ship hydrodynamics.
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15

Lee, Jeong-Yup, and Robert Moody. "Taylor–Socolar Hexagonal Tilings as Model Sets." Symmetry 5, no. 1 (December 28, 2012): 1–46. http://dx.doi.org/10.3390/sym5010001.

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16

Misha, Ergys. "Regular Econometric Model of Taylor for Albania." European Journal of Economics and Business Studies 5, no. 1 (August 30, 2016): 123. http://dx.doi.org/10.26417/ejes.v5i1.p123-133.

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The Taylor’s Rule Central Banks is applying widely today from Central Banks for design the monetary policy and for determination of interest rates. The purpose of this paper is to assess monetary policy rule in Albania, in view of an inflation targeting regime. In the first version of the Model, the Taylor’s Rule assumes that base interest rate of the monetary policy varies depending on the change of (1) the inflation rate and (2) economic growth (Output Gap).Through this paper it is proposed changing the objective of the Bank of Albania by adding a new objective, that of "financial stability", along with the “price stability”. This means that it is necessary to reassess the Taylor’s Rule by modifying it with incorporation of indicators of financial stability. In the case of Albania, we consider that there is no regular market of financial assets in the absence of the Stock Exchange. For this reason, we will rely on the credit developmet - as a way to measure the financial cycle in the economy. In this case, the base rate of monetary policy will be changed throught: (1) Targeting Inflation Rate, (2) Nominal Targeting of Economic Growth, and (3) Targeting the Gap of the Ratio Credit/GDP (mitigating the boom cycle, if the gap is positive, and the contractiocycle if the gap is negative).The research data show that, it is necessary that the Bank of Albania should also include in its objective maintaining the financial stability. In this way, the contribution expected from the inclusion of credit gap indicators in Taylor’s Rule, will be higher and sustainable in time.
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17

Lü, Yong, and Zhen-yang Wu. "Model Adaptation Algorithm Using Vector Taylor Series." JOURNAL OF ELECTRONICS INFORMATION & TECHNOLOGY 2010, no. 1 (February 8, 2010): 107–11. http://dx.doi.org/10.3724/sp.j.1146.2008.01768.

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18

Abarzhi, S. I., M. Cadjan, and S. Fedotov. "Stochastic model of Rayleigh–Taylor turbulent mixing." Physics Letters A 371, no. 5-6 (November 2007): 457–61. http://dx.doi.org/10.1016/j.physleta.2007.06.048.

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19

Neher, M., K. R. Jackson, and N. S. Nedialkov. "On Taylor Model Based Integration of ODEs." SIAM Journal on Numerical Analysis 45, no. 1 (January 2007): 236–62. http://dx.doi.org/10.1137/050638448.

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20

Zhao, Man, Xia Ji, Beizhi Li, and Steven Y. Liang. "Forces prediction in micro-grinding single-crystal copper considering the crystallographic orientation." Manufacturing Review 5 (2018): 15. http://dx.doi.org/10.1051/mfreview/2018014.

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In the micro-grinding of single-crystal copper, the effect of crystallography becomes significant as the wheel works intra-crystalline. To quantify the effect of crystallographic orientation (CO) related to the cutting direction on the micro-grinding process, this article presents a Taylor factor model by examining the number and style of activated slip systems. Then, the flow stress model of monocrystalline material is developed considering the variation of the Taylor factor. Furthermore, the models of chip formation and rubbing forces are derived from the flow stress model, while the plowing force is predicted by the Vickers hardness. Then, the overall grinding force model of the whole wheel is developed by incorporating the process parameters and the wheel properties. Finally, micro-grinding experiments are conducted to verify the model, using only the Taylor factor as the variable. The proposed analysis is also compared with the previously reported model, which considers the Taylor factor as a constant of 3.06. The comparison between the two predictions and experimental data shows that the consideration of Taylor factor variability improves the accuracy of prediction.
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21

Davig, Troy, and Eric M. Leeper. "Generalizing the Taylor Principle: Reply." American Economic Review 100, no. 1 (March 1, 2010): 618–24. http://dx.doi.org/10.1257/aer.100.1.618.

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Farmer, Waggoner, and Zha (2009) (FWZ) show that a new Keynesian model with regime-switching monetary policy can support multiple solutions, appearing to contradict findings in Davig and Leeper (2007) (DL). The explanation is straightforward: FWZ derive solutions using a model that differs from the one to which the DL conditions apply. The FWZ solutions also require that the exogenous driving process is a function of private and policy parameters. This undermines the sharp distinctions among “deep parameters” typical of optimizing models and makes it difficult to ascribe economic interpretations to FWZ's additional solutions. (E12, E31, E43, E52)
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22

Rana, G. C., R. Chand, and Veena Sharma. "Electrohydrodynamic Instability of a Rotating Walters’ (model B’) Fluid in a Porous Medium: Brinkman model." Mechanics and Mechanical Engineering 23, no. 1 (July 10, 2019): 138–43. http://dx.doi.org/10.2478/mme-2019-0019.

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Abstract In this study, the instability of Walters’ (model B’) viscoelastic fluid in a Darcy-Brinkman-Boussinesq system heated from below saturating a porous medium in electrohydrodynamics is considered. By applying the linear stability analysis and normal modes, the dispersion relation accounting for the effect of Prandtl number, electric Rayleigh number, Darcy number, Brinkman-Darcy number, Taylor number and kinematic viscoelasticity parameter is derived. The effects of electric Rayleigh number, Darcy number, Brinkman-Darcy number and Taylor number on the onset of stationary convection have been investigated both analytically and graphically.
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23

Kazbegi, A. Z., G. Z. Machabeli, and G. I. Melikidze. "A Model for the Drifting-Subpulse Phenomenon." International Astronomical Union Colloquium 128 (1992): 296–98. http://dx.doi.org/10.1017/s0002731600155374.

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The subpulse drift phenomena—that is, periodic subpulse phase variations in the individual-pulse sequences—was discovered by Drake and Craft (1968) in the beginning of the pulsar era. Many observational programs have been carried out since then, and it has been shown a) that only a minority of pulsars exhibit the phenomenon, and b) that only some of these can be characterized by a definite drift rate (Huguenin, Taylor, and Troland 1970, Backer 1970, Taylor and Huguenin 1971).
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24

Lertnuwat, B. "Shapes of an Air Taylor Bubble in Stagnant Liquids Influenced by Different Surface Tensions." International Journal of Applied Mechanics and Engineering 23, no. 1 (February 1, 2018): 79–90. http://dx.doi.org/10.1515/ijame-2018-0005.

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AbstractThe aim of this work is to propose an empirical model for predicting shapes of a Taylor bubble, which is a part of slug flows, under different values of the surface tension in stagnant liquids by employing numerical simulations. The k - Ɛ turbulence model was used in the framework of finite volume method for simulating flow fields in a unit of slug flow and also the pressure distribution on a Taylor bubble surface. Assuming that an air pressure distribution inside the Taylor bubble must be uniform, a grid search method was exploited to find an appropriate shape of a Taylor bubble for six values of surface tension. It was found that the shape of a Taylor bubble would be blunter if the surface tension was increased. This was because the surface tension affected the Froude number, controlling the flow around a Taylor bubble. The simulation results were also compared with the Taylor bubble shape, created by the Dumitrescu-and-Taylor model and former studies in order to ensure that they were consistent. Finally, the empirical model was presented from the simulation results.
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25

Wu, Zhenlong, Benyin Lv, and Yihua Cao. "Improved Taylor analogy breakup and Clark models for droplet deformation prediction." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 2 (October 25, 2017): 767–75. http://dx.doi.org/10.1177/0954410017736545.

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The deformation of rain droplet at the leading edge of a wing is critical to the aerodynamic characteristics of the aircraft under heavy rainfall and icing conditions. This study introduces the improvement of the Taylor analogy breakup and Clark models for prediction of droplet deformation near the leading edge of an airfoil. The slip velocity is considered as time-variant in the improved Taylor analogy breakup model. The viscous force is optimized in the improved Clark model. The prediction results suggest that the Clark models predict better results than the Taylor analogy breakup models. Besides, the improved Clark model has the highest prediction accuracy. However, considering the Clark model is derived based on a two-dimensional model, even the improved model still has some unavoidable deviations from the real situation. In addition, the simplified surface area in the surface tension force and the approximation of the pressure force in the original Clark model are very effective, thus are kept the same in the improved Clark model.
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26

Zheng, Zhi Jie, Shou Xiang Wang, Yan Wang, Long Zhao, and Jie Zhang. "Medium and Long Term Load Forecasting of Power System Based on Interval Taylor Model Arithmetic." Advanced Materials Research 986-987 (July 2014): 354–57. http://dx.doi.org/10.4028/www.scientific.net/amr.986-987.354.

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For long time span, the impact of many factors, uncertainties and other characteristics of mid-long term load forecasting, as well as the over-estimation of interval arithmetic, a mid-long term load forecasting method based on interval Taylor model algorithm was presented. In order to avoid misjudgment of the relationship between variables, reducing over-estimation problem, a global variable named Taylor model ID was presented to identify the independent variables and the dependent variable. The same independent variables construct the interval Taylor model only once. Use Maclaurin formula to derive the interval Taylor model of correlation function formula, and then get a quadratic exponential smoothing method based on interval the Taylor model. The proposed method has been tested on a provincial calculation. The results demonstrated the effectiveness and practical value of the approach by comparing with the results of Monte Carlo simulation and interval method.
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27

Zhao, Man, Xia Ji, Beizhi Li, and Steven Y. Liang. "Effect of crystallographic orientation on the hardness of polycrystalline materials AA7075." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 9 (October 10, 2018): 3182–92. http://dx.doi.org/10.1177/0954406218802935.

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As one of the most important properties of materials, micro-hardness is influenced by material microstructure significantly. The reported data show that the micro-hardness of materials varies with the variation of crystallographic orientation. This paper presents an analytical model to quantify the effect of crystallographic orientation on micro-hardness by analyzing the mechanical behavior in the test of Vickers hardness. The plastic deformation occurs under the micro-indentation with the flow stress affected significantly by crystallographic orientation of material. This paper develops a Taylor factor model to quantify the effect of crystallographic orientation on the flow stress of polycrystalline materials, by examining the number and the style of activated slip systems. Considering the linear relationship between the flow stress and Vickers hardness, the effect of crystallographic orientation on the Vickers hardness is established. To verify the Taylor factor model, compression tests and Vickers hardness tests were conducted. The result shows that the predictions coincided with the experimental data, which suggests that the model considering the variation of crystallographic orientation is accurate and the Taylor factor model is reasonable. To analyze the sensitivity of flow stress and Vickers hardness to CO, this paper also predicted flow stress and hardness using models without considering the variability of Taylor factor and the athernal stress. The three predictions were compared with the experimental data, and the results proved that the model considering the variability Taylor factor improves flow stress and accuracy of hardness models.
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28

Grünwald, Eva, Ydalia Delgado Mercado, and Christof Gattringer. "Taylor and fugacity expansion for the effective ℤ3 spin model of QCD at finite density." International Journal of Modern Physics A 29, no. 32 (December 30, 2014): 1450198. http://dx.doi.org/10.1142/s0217751x1450198x.

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Different series expansions in the chemical potential μ are studied and compared for an effective theory of QCD which has a flux representation where the complex action is overcome. In particular we consider fugacity series, Taylor expansion and a modified Taylor expansion and compare the outcome of these series to the reference results from a Monte Carlo simulation in the flux representation where arbitrary μ is accessible. It is shown that for most parameter values the fugacity expansion gives the best approximation to the data from the flux simulation, followed by our newly proposed modified Taylor expansion. For the conventional Taylor expansion we find that the results coincide with the flux data only for very small μ.
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29

Ai, Zhipin, and Yonghui Yang. "Modification and Validation of Priestley–Taylor Model for Estimating Cotton Evapotranspiration under Plastic Mulch Condition." Journal of Hydrometeorology 17, no. 4 (April 1, 2016): 1281–93. http://dx.doi.org/10.1175/jhm-d-15-0151.1.

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Abstract Compared with more comprehensive physical algorithms such as the Penman–Monteith model, the Priestley–Taylor model is widely used in estimating evapotranspiration for its robust ability to capture evapotranspiration and simplicity of use. The key point in successfully using the Priestley–Taylor model is to find a proper Priestley–Taylor coefficient, which is variable under different environmental conditions. Based on evapotranspiration partition and plant physiological limitation, this study developed a new model for estimating the Priestley–Taylor coefficient incorporating the effects of three easily obtainable parameters such as leaf area index (LAI), air temperature, and mulch fraction. Meanwhile, the effects of plastic film on the estimation of net radiation and soil heat flux were fully considered. The reliability of the modified Priestley–Taylor model was testified using observed cotton evapotranspiration from eddy covariance in two growing seasons, with high coefficients of determination of 0.86 and 0.81 in 2013 and 2014, respectively. Then, the modified model was further validated by estimating cotton evapotranspiration under three fractions of mulch cover: 0%, 60%, and 100%. The estimated values agreed well with the measured values via water balance analysis. It can be found that seasonal variation of the modified Priestley–Taylor coefficient showed a more reasonable pattern compared with the original coefficient of 1.26. Sensitivity analysis showed that the modified Priestley–Taylor coefficient was more sensitive to LAI than to air temperature. Overall, the modified model has much higher accuracy and could be used for evapotranspiration estimation under plastic mulch condition.
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30

Walentek, Artur, Xiahua Hu, Marc Seefeldt, and Paul van Houtte. "Texture Evolution during Cold Rolling of Low and High Carbon Steel. Measurement and Simulation." Materials Science Forum 495-497 (September 2005): 369–74. http://dx.doi.org/10.4028/www.scientific.net/msf.495-497.369.

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This paper presents simulations of the texture development during cold rolling of fully pearlitic steel. In order to investigate the importance of including microstructural aspects into texture simulations the calculations were carried out with the FC Taylor Pearlite model which takes the lamellar microstructure into account and with the FC Taylor and LAMEL model which are dedicated for one phase materials. The results are compared with those for ULC steel. For both materials the LAMEL model results are in good agreement with experimental data, while for the pearlitic steel, the FC Taylor Pearlite model improves the predictions only slightly with respect to the FC Taylor model.
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31

Davig, Troy, and Eric M. Leeper. "Generalizing the Taylor Principle." American Economic Review 97, no. 3 (May 1, 2007): 607–35. http://dx.doi.org/10.1257/aer.97.3.607.

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The paper generalizes the Taylor principle—the proposition that central banks can stabilize the macroeconomy by raising their interest rate instrument more than one-for-one in response to higher inflation—to an environment in which reaction coefficients in the monetary policy rule change regime, evolving according to a Markov process. We derive a long-run Taylor principle which delivers unique bounded equilibria in two standard models. Policy can satisfy the Taylor principle in the long run, even while deviating from it substantially for brief periods or modestly for prolonged periods. Macroeconomic volatility can be higher in periods when the Taylor principle is not satisfied, not because of indeterminacy, but because monetary policy amplifies the impacts of fundamental shocks. Regime change alters the qualitative and quantitative predictions of a conventional new Keynesian model, yielding fresh interpretations of existing empirical work. (JEL E31, E43, E52)
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32

Agyapong, Joseph. "Application of Taylor Rule Fundamentals in Forecasting Exchange Rates." Economies 9, no. 2 (June 21, 2021): 93. http://dx.doi.org/10.3390/economies9020093.

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This paper examines the effectiveness of the Taylor rule in contemporary times by investigating the exchange rate forecastability of selected four Organisation for Economic Co-operation and Development (OECD) member countries vis-à-vis the U.S. It employs various Taylor rule models with a non-drift random walk using monthly data from 1995 to 2019. The efficacy of the model is demonstrated by analyzing the pre- and post-financial crisis periods for forecasting exchange rates. The out-of-sample forecast results reveal that the best performing model is the symmetric model with no interest rate smoothing, heterogeneous coefficients and a constant. In particular, the results show that for the pre-financial crisis period, the Taylor rule was effective. However, the post-financial crisis period shows that the Taylor rule is ineffective in forecasting exchange rates. In addition, the sensitivity analysis suggests that a small window size outperforms a larger window size.
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33

Dan-Isa, Ado, and D. P. Atherton. "Discrete Model Reduction via a Taylor Series Approximation." IFAC Proceedings Volumes 28, no. 10 (July 1995): 61–66. http://dx.doi.org/10.1016/s1474-6670(17)51493-7.

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34

Turner, Paul. "Teaching Undergraduate Macroeconomics with the Taylor-Romer Model." International Review of Economics Education 5, no. 1 (2006): 73–83. http://dx.doi.org/10.1016/s1477-3880(15)30123-7.

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35

Aoyama, T., T. Matsuo, and Y. Shibusa. "Improved Taylor Expansion Method in the Ising Model." Progress of Theoretical Physics 115, no. 3 (March 1, 2006): 473–86. http://dx.doi.org/10.1143/ptp.115.473.

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36

Yahata, H. "A Simple Model for the Taylor Vortex Flow." Progress of Theoretical Physics Supplement 69 (May 14, 2013): 200–211. http://dx.doi.org/10.1143/ptp.69.200.

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37

WRIGHT, E. A. "NAVAL MATHEMATICS AT THE DAVID TAYLOR MODEL BASIN." Journal of the American Society for Naval Engineers 69, no. 2 (March 18, 2009): 205–30. http://dx.doi.org/10.1111/j.1559-3584.1957.tb03188.x.

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38

Marks, Wilbur, and Robert G. Tuckerman. "SPLASHNIK-THE TAYLOR MODEL BASIN DISPOSABLE WAVE BUOY." Coastal Engineering Proceedings 1, no. 7 (January 29, 2011): 6. http://dx.doi.org/10.9753/icce.v7.6.

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In connection with full scale ship trials, it is often necessary to have a description of the state of the sea which may be used as a scale against which to measure ship performance. Visual observations of waves have proven to be unreliable in the past and are, in any event, not sufficiently detailed to be adequately descriptive, for many problems. Hindcasting** the state of the sea depends on wind information (speed, duration, area of sea covered, and rate of growth and/or decay) obtained from six hourly weather maps. The wind data is used in conjunction with certain empirical^theoretical formulations to produce an energy spectrum of waves at the place and time of interest. The energy spectrum is a good descriptive tool, because it gives information on the energy content of the wave frequencies present and provides an estimate of the height distribution of the waves as well as certain other statistical quantities. However, hindcasting the wave spectrum is unsatisfactory for two reasons: 1) estimation of the wind field from sparse observations spaced six hours apart is highly subjective, and 2), no specific energy spectrum formulation has as yet been verified. There is still another method for description of the seaway. If the waves at a fixed point can be measured for a sufficient length of time, then this sample record can be converted into a wave (energy) spectrum that will adequately characterize the state of the sea. There are many systems that will measure waves, but the requirement that wave measurements complement simultaneous ship motions measurements, in all states of sea, eliminates most of the known instruments. In particular, it is required that the waves be observed at a fixed point for a period of hours, while the ship conducts certain maneuvers which may remove it several miles from the point of observation. This means that the wave measurement system must be physically divorced from the ship. Furthermore, many tests will be made in heavy seas so that it will not be practical to seek out the instrument and recover it. As a consequence of the conditions imposed by the particular problem stated here, the wave measuring system must be able to: 1. Telemeter information to the ship for at least 7 hours at a distance of at least 8 nautical miles, 2. Be launched from the deck of a ship in waves perhaps 25 feet high, and 3. Be inexpensively constructed ($125.00 - $150.00) so as to be expendable. Since investigation revealed that no known instrument had embodied in it all three of these features, it was decided to design and build an appropriate system, at the David Taylor Model Basin. After some consideration of the imposed conditions, it was decided that a small floating buoy (SPLASHNIK) which measures apparent vertical acceleration and telemeters the information back to the ship could be designed to fulfill the requirements. The intent of this paper is to describe the SPLASHNIK system, the data reduction method, some experimental verification of the method, and some proposed improvements. It should be noted that this technique of wave measurement (recording of vertical acceleration) is not new. In fact, one instrument described by Dorrestein (1957) is somewhat similar to the SPLASHNIK and has been in operation for several years. Other institutions are also known to be experimenting with accelerometer wave buoys. However, several basic design differences make the SPLASHNIK especially useful as a tool in the study of ship behavior. A drawing of the SPLASHNIK appears in Figure 1.
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39

Yang, Jialing, Min Luo, and Liebin Chen. "Effect of elastic target material on Taylor model." Archive of Applied Mechanics 80, no. 8 (August 2, 2009): 929–47. http://dx.doi.org/10.1007/s00419-009-0351-9.

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40

Wierzbanowski, K. "Problem of multiple solutions in the Taylor model." Crystal Research and Technology 24, no. 2 (February 1989): 153–60. http://dx.doi.org/10.1002/crat.2170240205.

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41

Epstein, Michael, Chan Y. Paik, Martin G. Plys, and Sung Jin Lee. "A turbulent diffusion model of Rayleigh-Taylor mixing." Annals of Nuclear Energy 116 (June 2018): 290–95. http://dx.doi.org/10.1016/j.anucene.2018.02.042.

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42

Ghosh, Sumana, Pramod Patil, Subhash C. Mishra, Arup K. Das, and Prasanta K. Das. "3-D Lattice Boltzmann Model for Asymmetric Taylor Bubble and Taylor Drop in Inclined Channel." Engineering Applications of Computational Fluid Mechanics 6, no. 3 (January 2012): 383–94. http://dx.doi.org/10.1080/19942060.2012.11015429.

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43

Qin, J., Y. Huang, J. Xiao, and K. C. Hwang. "The equivalence of axisymmetric indentation model for three-dimensional indentation hardness." Journal of Materials Research 24, no. 3 (March 2009): 776–83. http://dx.doi.org/10.1557/jmr.2009.0095.

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Nix and Gao [J. Mech. Phys. Solids46, 411 (1998)] established an important relation between the microindentation hardness and indentation depth for axisymmetric indenters. We use the conventional theory of mechanism-based strain gradient plasticity [Huang et al., Int. J. Plast.20, 753 (2004)] established from the Taylor dislocation model [Taylor, Proc. R. Soc. London A145, 362 (1934); Taylor, J. Inst. Met.62, 307 (1938)] to study the Berkovich and other triangular pyramid indenters. The three-dimensional finite element analysis shows that the widely used equivalence of equal base area leads to significant errors, particularly in microindentation. A new equivalence of equal angle is proposed for triangular pyramid indenters, and it has been validated for a large range of indenter angles and indentation depths.
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44

Gu, Min-Hee, Chihyun Cho, Hahng-Yun Chu, No-Weon Kang, and Joo-Gwang Lee. "Uncertainty propagation on a nonlinear measurement model based on Taylor expansion." Measurement and Control 54, no. 3-4 (January 29, 2021): 209–15. http://dx.doi.org/10.1177/0020294021989740.

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In this paper, the propagation of uncertainty on a nonlinear measurement model is presented using a higher-order Taylor series. As the derived formula is based on a Taylor series, it is necessary to compute the partial derivatives of the nonlinear measurement model and the correlation among the various products of the input variables. To simplify the approximation of this formula, most previous studies assumed that the input variables follow independent Gaussian distributions. However, in this study, we generate multivariate random variables based on copulas and obtain the covariances among the products of various input variables. By applying the derived formula to various cases regardless of the error distribution, we obtained the results that coincide with those of a Monte-Carlo simulation. To apply high-order Taylor expansion, the nonlinear measurement model should be continuous within the range of the input variables to allow for differentiation, and be an analytic function in order to be represented by a power series. This approach may replace some time-consuming Monte-Carlo simulations by choosing the appropriate order of the Taylor series, and can be used to check the linearity of the uncertainty.
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45

Li, Hei Jie, Zheng Yi Jiang, Dong Bin Wei, Yan Bing Du, Jing Tao Han, and A. Kiet Tieu. "Surface Profile Simulation during Plane Strain Compression by Crystal Plasticity Finite Element Method." Advanced Materials Research 76-78 (June 2009): 538–43. http://dx.doi.org/10.4028/www.scientific.net/amr.76-78.538.

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With the technology advancement, crystal plasticity finite element modeling becomes more and more popular in the simulation of metal forming process. In order to obtain a better understanding of the difference between the Taylor model and finite element model during the simulation of metal forming process, an implicit time-integration procedure with the two polycrystal models is applied in the commercial finite element code ABAQUS to simulate the plane strain compression separately. FCC metal is used in this study. The simulation shows that the two polycrystal models both can predict the compression process approximately. The two modelling results of surface roughness show an agreement with that of the experimental results. However, the side profile calculated by the Taylor polycrystal model is much steeper and straighter than that of finite element polycrystal model. The experimental surface roughness curve shows a high frequency fluctuation. It is much steeper than those of the two models. The simulation results also show that the von Mises stress from the Taylor model is much higher than that of the finite element model.
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46

WSCHEBOR, NICOLÁS. "SOME NONRENORMALIZATION THEOREMS IN CURCI–FERRARI MODEL." International Journal of Modern Physics A 23, no. 19 (July 30, 2008): 2961–73. http://dx.doi.org/10.1142/s0217751x08040469.

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In the present paper, a particular form of Slavnov–Taylor identities for the Curci–Ferrari model is deduced. This model consist of Yang–Mills theory in a particular nonlinear covariant gauge, supplemented with mass terms for gluons and ghosts. It can be used as a regularization for the Yang–Mills theory preserving simple Slavnov–Taylor identities. Employing these identities, two nonrenormalization theorems are proved that reduce the number of independent renormalization factors from five to three. These new relations are verified by a comparison to the already known three-loops renormalization factors. These relations include, as a particular case, the corresponding known identities in Yang–Mills theory in Landau gauge.
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47

Rüdiger, G., and M. Schultz. "Large-scale dynamo action of magnetized Taylor–Couette flows." Monthly Notices of the Royal Astronomical Society 493, no. 1 (February 3, 2020): 1249–60. http://dx.doi.org/10.1093/mnras/staa293.

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ABSTRACT A conducting Taylor–Couette flow with quasi-Keplerian rotation law containing a toroidal magnetic field serves as a mean-field dynamo model of the Tayler–Spruit type. The flows are unstable against non-axisymmetric perturbations which form electromotive forces defining α effect and eddy diffusivity. If both degenerated modes with m = ±1 are excited with the same power then the global α effect vanishes and a dynamo cannot work. It is shown, however, that the Tayler instability produces finite α effects if only an isolated mode is considered but this intrinsic helicity of the single-mode is too low for an α2 dynamo. Moreover, an αΩ dynamo model with quasi-Keplerian rotation requires a minimum magnetic Reynolds number of rotation of Rm ≃ 2000 to work. Whether it really works depends on assumptions about the turbulence energy. For a steeper-than-quadratic dependence of the turbulence intensity on the magnetic field, however, dynamos are only excited if the resulting magnetic eddy diffusivity approximates its microscopic value, ηT ≃ η. By basically lower or larger eddy diffusivities the dynamo instability is suppressed.
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48

Xie, Mingliang, Tingting Kong, Jin Li, and Jiang Lin. "The asymptotic stability of the Taylor-series expansion method of moment model for Brownian coagulation." Thermal Science 22, no. 4 (2018): 1651–57. http://dx.doi.org/10.2298/tsci1804651x.

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In the present study, the linear stability of population balance equation due to Brownian motion is analyzed with the Taylor-series expansion method of moment. Under certain conditions, the stability of the Taylor-series expansion method of moment model is reduced to a well-studied problem involving eigenvalues of matrices. Based on the principle of dimensional analysis, the perturbation equation is solved asymptotically. The results show that the Taylor-series expansion method of moment model is asymptotic stable, which implies that the asymptotic solution is uniqueness, and supports the self-preserving size distribution hypothesis theoretically.
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49

Xu, F., Wei Guo Guo, Q. J. Wang, and Zhi Yin Zeng. "A New Approach to Determine Dynamic Strength Model Parameters under Taylor Impact Test." Key Engineering Materials 525-526 (November 2012): 377–80. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.377.

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In this paper, to determine the dynamic strength model for steels, a new approach which does not rely on the Hopkinson bar test has been proposed. As the DH36 steel for example, using the results of Taylor impact test and the quasi-static compression test, the initial parameters of Johnson-Cook plastic strength model have been fitted out, then the initial strength parameters have been optimized using the optimization techniques of the sparse Taylor impact cylinder. It has been shown that the optimized results in numerical simulation are consistent with results of Taylor impact test, and the optimized Johnson-Cook model can also well describe flow stress curve fitted from the Hopkinson bar test.
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50

CHERTKOV, M., V. LEBEDEV, and N. VLADIMIROVA. "Reactive Rayleigh–Taylor turbulence." Journal of Fluid Mechanics 633 (August 25, 2009): 1–16. http://dx.doi.org/10.1017/s0022112009007666.

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The Rayleigh–Taylor (RT) instability develops and leads to turbulence when a heavy fluid falls under the action of gravity through a light one. We consider a model in which the RT instability is accompanied by a reactive transformation between the fluids. We study the model using direct numerical simulations (DNSs), focusing on the effect of the reaction (flame) on the turbulent mixing. We discuss ‘slow’ reactions in which the characteristic reaction time exceeds the temporal scale of the RT instability, τ ≫ tinst. In the early turbulent stage, tinst ≲ t ≲ τ, effects of the flame are distributed over a maturing mixing zone, whose development is weakly influenced by the reaction. At t ≳ τ, the fully mixed zone transforms into a conglomerate of pure-fluid patches of sizes proportional to the mixing zone width. In this ‘stirred flame’ regime, temperature fluctuations are consumed by reactions in the regions separating the pure-fluid patches. This DNS-based qualitative description is followed by a phenomenology suggesting that thin turbulent flame is of a single-fractal character, and thus distribution of the temperature field is strongly intermittent.
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