Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opin...

Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opin...

Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opin...

Hermite polynomials arise when dealing with functions of normally distributed variables, and are commonly thought as the analog simple on regular variables. Therefore expansion should be an Taylor expansion. Indeed there is a strong connection between two – general coefficient in weighted integral nth derivative, compared to derivative evaluated at zero case Taylor. This fact can used derive fo...

Satellite-based vegetation indices (VIs) and Apparent Thermal Inertia (ATI) derived from temperature change provide valuable information for estimating evapotranspiration (LE) and detecting the onset and severity of drought. The modified satellite-based Priestley-Taylor (MS-PT) algorithm that we developed earlier, coupling both VI and ATI, is validated based on observed data from 40 flux towers...

Coordinate Rotation Digital Computer (CORDIC) algorithm is an established method in complex arithmetic function discovery using shift and add operations. An absolute Scaling-free CORDIC algorithm for cosine and sine function computation function has been implemented. A combination of third order approximation Taylor series and leading-one-bit detection algorithm has been adopted in this impleme...

In this paper, a new algorithm for function approximation is proposed to obtain better generalization performance and faster convergent rate. The new algorithm incorporates the architectural constraints from a priori information of the function approximation problem into Extreme Learning Machine. On one hand, according to Taylor theorem, the activation functions of the hidden neurons in this al...

This paper proposed the fractional order gray prediction algorithm to improve prediction accuracy in uncertainty signal. This paper is the first to propose the measurement method of the gray information of signals. The fractional order gray prediction algorithm is deduced through fractional order Taylor expansion formula. The measurement method of the gray information of signals is provided by ...

In this paper, a numerical implementation of an expansion method is developed for solving Abel's integral equations of the first and second kind. The solution of such equations may demonstrate a singular behaviour in the neighbourhood of the initial point of the interval ofintegration. The suggested method is based on the use of Taylor series expansion to overcome the singularity which le...