A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method by Omar Abu Arqub, Ahmad El-Ajou, A. Sami Bataineh, I. Hashim

“…The proposed method obtains a Taylor expansion of the solution, and when the solution is polynomial, our method reproduces the exact solution. …”
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Linearized distortion model for robust speech recognition in noisy environments by HE Yong-jun1, HAN Ji-qing1

“…The robustness of speech recognition system in noisy environments was investigated.The distortion model in Mel-frequency cepstral coefficient（MFCC） domain is highly non-linear and difficult to deal with.A new linear distortion model was proposed by replacing the logarithm operation with its piecewise linear interpolation function.Then the esti-mation of noise parameters and compensation of acoustic models were provided.The proposed method can avoid model error introduced by utilizing linearization methods based on vector Taylor series（VTS） expansion,and significantly im-prove the robustness of recognizer in noisy environments.…”
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Time Course of Upper Limb Function in Children with Unilateral Cerebral Palsy: A Five-Year Follow-Up Study by Katrijn Klingels, Sarah Meyer, Lisa Mailleux, Cristina Simon-Martinez, Jasmine Hoskens, Elegast Monbaliu, Geert Verheyden, Geert Verbeke, Guy Molenaers, Els Ortibus, Hilde Feys

“…Activity measurements included Melbourne Assessment, Jebsen-Taylor test, Assisting Hand Assessment (AHA), and ABILHAND-Kids. …”
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The measure of the contribution of multiculturalism in constructing the current Brazilian Constitutional text by E. R. Hogemann

“…It is appropriate to mention the works of Parekh, Santos, and Taylor. With the help of the legal-descriptive method, through bibliographic review, legislative documents and analysis of examples, the relevance of the contribution of the theory of multiculturalism to the affirmation of human rights and the guarantee of a democratic legal state has been demonstrated.…”
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Residential Irrigation Water Costs in Osceola County and Orange County, Florida by Nick Taylor, Tricia Kyzar, Pierce Jones, Kaitlin O. Robb Price

“…Homeowners in central Florida can use the results to assess their water consumption and bills in relation to similar homes in the area. Written by Nick Taylor, Tricia Kyzar, Pierce Jones, and Kaitlin O. …”
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On Corrected Quadrature Rules and Optimal Error Bounds by François Dubeau

“…The correcting terms use weighted values of the first derivative of the function at the endpoint of the subinterval in such a way that the composite rules contain only two new values. Using Taylor’s expansions and Peano’s kernels we obtain best truncation error bounds which depend on the regularity of the function and the weight parameter. …”
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Residential Irrigation Water Costs in Osceola County and Orange County, Florida by Nick Taylor, Tricia Kyzar, Pierce Jones, Kaitlin O. Robb Price

“…Homeowners in central Florida can use the results to assess their water consumption and bills in relation to similar homes in the area. Written by Nick Taylor, Tricia Kyzar, Pierce Jones, and Kaitlin O. …”
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Demonstration Gardens in the University of Florida Cooperative Extension Service by Sydney Park Brown, Kim Taylor, Emily Eubanks, Caraline Stephens

“…This 27-page directory was written by Sydney Park Brown, Kim Taylor, Emily Eubanks, and Caraline Stephens, and published by the UF Department of Environmental Horticulture, June 2014. …”
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Elastic neural net for the earthquake epicenter search by I. Antoniou, V. V. Ivanov, I. V. Kisel

“…Such an algorithm is quite cumbersome and requires expanding a set of non-linear equations in a Taylor series. Second-order terms usually not included in the algorithm can be important if the initial estimate is far from the solution.…”
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Demonstration Gardens in the University of Florida Cooperative Extension Service by Sydney Park Brown, Kim Taylor, Emily Eubanks, Caraline Stephens

“…This 27-page directory was written by Sydney Park Brown, Kim Taylor, Emily Eubanks, and Caraline Stephens, and published by the UF Department of Environmental Horticulture, June 2014. …”
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Iteration Methods with an Auxiliary Function for Nonlinear Equations by Faisal Ali, Waqas Aslam, Imran Khalid, Akbar Nadeem

“…Various iterative methods have been introduced by involving Taylor’s series on the auxiliary function gx to solve the nonlinear equation fx=0. …”
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A refinement of normal approximation to Poisson binomial by K. Neammanee

“…In this paper, we use Taylor's formula to improve the approximation by adding some correction terms. …”
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Matrix Transformations and Disk of Convergence in Interpolation Processes by Chikkanna R. Selvaraj, Suguna Selvaraj

“…Walsh proved that the difference of the Lagrange polynomial interpolant of 𝑓(𝑧)∈𝐴𝜌 and the partial sum of the Taylor polynomial of 𝑓 converges to zero on a larger set than the domain of definition of 𝑓. …”
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-Dimensional Fractional Lagrange's Inversion Theorem by F. A. Abd El-Salam

“…For extending the treatment in higher dimensions, some relevant vectors and tensors definitions and notations are presented. A fractional Taylor expansion of a function of -dimensional polyadics is derived. …”
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Police involvement in residential child care by Neil Gentleman

“…Young people who are looked after away from home are three times more likely to be charged with offences than those in the general population (NACRO, 2003; Taylor, 2006). In the last five years, figures in relation to youth offending indicate an increased likelihood of reaching Persistent Young Offender (PYO) status if you are accommodated in a residential unit (Evans, 2007). …”

A Novel Approach for Solving Nonsmooth Optimization Problems with Application to Nonsmooth Equations by Hamid Reza Erfanian, M. H. Noori Skandari, A. V. Kamyad

“…For this purpose, we introduce the first order of generalized Taylor expansion of nonsmooth functions and replace it with smooth functions. …”
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The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System by Chuanjian Wang, Zhengde Dai, Changfu Liu

“…The breather-like (a pulsating mode) and rational solutions are presented applying Hirota bilinear method and Taylor series. The intricate structures of the rational solitary wave solution are discussed mathematically and graphically. …”
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Opinion Leadership and the Perceived Economics of Local Food by Layne S. Marshall, Melissa R. Taylor, Alexa J. Lamm

“…Marshall, Melissa R. Taylor, and Alexa J. Lamm, and published by the UF Department of Agricultural Education and Communication, August 2016. …”
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Opinion Leadership and the Perceived Economics of Local Food by Layne S. Marshall, Melissa R. Taylor, Alexa J. Lamm

“…Marshall, Melissa R. Taylor, and Alexa J. Lamm, and published by the UF Department of Agricultural Education and Communication, August 2016. …”
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Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation by Yali Shen, Ruoxia Yao

“…We also obtain explicit breathers from a nonzero seed with constant amplitude, deduce the corresponding extended Taylor expansion, and obtain several first-order rogue wave solutions. …”
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