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Perspectives in Education, 2023 This article focuses on first-year university students’ understanding of concepts related to third-degree polynomial and trigonometric functions that they encountered during their study of Grade 12 mathematics.
Aneshkumar Maharaj
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Nonperiodic Trigonometric Polynomial Approximation [PDF]
Journal of Scientific Computing, 2013 The suitable basis functions for approximating periodic function are periodic, trigonometric functions. When the function is not periodic, a viable alternative is to consider polynomials as basis functions. In this paper we will point out the inadequacy of polynomial approximation and suggest to switch from powers of $x$ to powers of $\sin(px)$ where ...
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Algorithms for trigonometric polynomial and rational approximation [PDF]
, 2016 This thesis presents new numerical algorithms for approximating functions by trigonometric polynomials and trigonometric rational functions. We begin by reviewing trigonometric polynomial interpolation and the barycentric formula for trigonometric ...
Mohsin Javed, Javed, Mohsin
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Covariance of the number of real zeros of a random trigonometric polynomial
International Journal of Mathematics and Mathematical Sciences, 2006 For random coefficients aj and bj we consider a random trigonometric polynomial defined as Tn(θ)=∑j=0n{ajcosjθ+bjsinjθ}. The expected number of real zeros of Tn(θ) in the interval (0,2π) can be easily obtained. In this note we show that this number is
K. Farahmand, M. Sambandham
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Universal centers in the cubic trigonometric Abel equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the center problem for the trigonometric Abel equation $d \rho/ d \theta= a_1 (\theta) \rho^2 + a_2(\theta) \rho^3,$ where $a_1(\theta)$ and $a_2(\theta)$ are cubic trigonometric polynomials in $\theta$.
Jaume Giné +2 more
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A semi-parametric model for circular data based on mixtures of beta distributions [PDF]
, 2008 This paper introduces a new, semi-parametric model for circular data, based on mixtures of shifted, scaled, beta (SSB) densities. This model is more general than the Bernstein polynomial density model which is well known to provide good approximations ...
Wiper, Michael Peter +2 more
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C2 quadratic trigonometric polynomial curves with local bias [PDF]
, 2005 Quadratic trigonometric polynomial curves with local bias are presented in this paper. The quadratic trigonometric polynomial curves have C2 continuity with a non-uniform knot vector and any value of the bias, while the quadratic B-spline curves have C1 ...
Han, Xuli
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Approximation of classes B^ω_p,θ of periodic functions of several variables by polynomials with spectrum from cubic areas (in Ukrainian) [PDF]
Математичні Студії, 2011 We have obtained exact order estimates for error of approximation of classes B^ω_p,θ of periodic functions of several variables by trigonometric polynomials with spectrum from cubic areas.
S. A. Stasyuk
doaj
Advanced Robotics Research, EarlyView.This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka +3 more
wiley +1 more source
Trigonometric Polynomials and Lattice Points [PDF]
Proceedings of the American Mathematical Society, 1992 In this paper we study the distribution of lattice points on arcs of circles centered at the origin. We show that on such a circle of radius R R
Cilleruelo, J., Cordoba, A.
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