Approximate moment dynamics for polynomial and trigonometric stochastic systems [PDF]
Stochastic dynamical systems often contain non-linearities that make it hard to compute probability density functions or statistical moments of these systems.
K. Ghusinga +4 more
semanticscholar +1 more source
Bending and Free Vibration Analysis of Functionally Graded Plates via Optimized Non-polynomial Higher Order Theories [PDF]
Optimization concept in the context of shear deformation theories was born for the development of accurate models to study the bending problem of structures. The present study seeks to extend such an approach to the dynamic analysis of plates.
David Ramirez +3 more
doaj +1 more source
A method for proving some inequalities on mixed trigonometric polynomial functions [PDF]
In this article we present a method for proving a class of inequalities of the form (1). The method is based on the precise approximations of the sine and cosine functions by Maclaurin polynomials of given order.
Branko J. Malesevic, Milica Makragic
semanticscholar +1 more source
Examining the possibility of short-term prediction of traffic volume in smart city control systems with the use of regression models [PDF]
This article deals with issues related to the optimization of traffic management in modern cities, the so-called Smart City. In particular, the article presents the process of evolution of the traffic flow prediction model at a selected crossroads in a ...
Peweł Dymora +2 more
doaj +3 more sources
Reconstruction of integrated equations of periodically driven phase-locked loop system from scalar time series [PDF]
Purpose of this work is to develop a reconstruction technique for the equations of a phase-locked loop system under periodic external driving from a scalar time series of one variable. Methods.
Sysoeva, Marina Vyacheslavovna +4 more
doaj +1 more source
Trigonometric Polynomial Interpolation of Images
For 1D and 2D signals, the Shannon-Whittaker interpolation with periodic extension can be formulated as a trigonometric polynomial interpolation (TPI). In this work, we describe and discuss the theory of TPI of images and some of its applications. First,
Thibaud Briand
semanticscholar +1 more source
Nonperiodic Trigonometric Polynomial Approximation [PDF]
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 ...
openaire +3 more sources
C1 rational quadratic trigonometric spline
A Bézier like C1 rational quadratic trigonometric polynomial spline is developed. It defines two shape parameters in each subinterval. The approximation and geometric properties are investigated. The curvature continuity is established.
Maria Hussain, Sidra Saleem
doaj +1 more source
A quadratic trigonometric spline for curve modeling. [PDF]
An imperative curve modeling technique has been established with a view to its applications in various disciplines of science, engineering and design. It is a new spline method using piecewise quadratic trigonometric functions.
Shamaila Samreen +2 more
doaj +1 more source
On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization [PDF]
We study classical twists of Lie bialgebra structures on the polynomial current algebra $\mathfrak{g}[u]$, where $\mathfrak{g}$ is a simple complex finite-dimensional Lie algebra.
A. A. Stolin +32 more
core +2 more sources

