Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...

Algorithmic complexity, a cornerstone of theoretical computer science, examines the intrinsic resource requirements of computational problems and the limits of what can be efficiently computed. Within ...

Abstract: Stochastic Barrier Functions (SBFs) certify the safety of stochastic systems by formulating a functional optimization problem, which state-of-the-art methods solve using Sum-of-Squares (SoS) ...

Abstract: Embedded applications use more and more sophisticated computations. These computations can integrate the composition of elementary functions which have to be approximated. In the context of ...

This paper investigates the bias and the weak Bahadur representation of a local polynomial estimator of the conditional quantile function and its derivatives. The bias and Bahadur remainder term are ...

This is a preview. Log in through your library . Abstract The subject of this paper are polynomials in multiple non-commuting variables. For polynomials of this type orthogonal with respect to a state ...

The amount of time it takes for an algorithm to solve a polynomial function, which is a mathematical expression that does not contain fractions or negative numbers. The time is proportional to the ...

MYPATH:="{path to the code}/": SLV_PATH:=cat(MYPATH,"SLV/"): read cat(MYPATH, "Milne.mpl"): read cat(SLV_PATH, "SLV.mpl"): h1:=2*x^2+3*x*y+y^2-3: h2:=4*x^2+7*y^2+9*y ...