For example, power functions can be used to describe gravitational forces in physics and population growth dynamics in biology; while polynomials can model demand-supply dynamics in economics and ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

Learn what polynomial-time reduction is, how to apply it to common problems, and why it is useful for finding efficient algorithms. See examples of polynomial-time reduction in action.

Objective-C function for calculation the polynomial regression of a given dataset. There are no mathematical data analysis functions in Objective-C and I couldn't find a suitable math framework for ...

A new digital phase modulation format is proposed which uses polynomial functions of time to phase modulate a sinusoidal carrier. Information bits from the source are mapped to the coefficients of the ...

This paper investigates the consensus problem of multi-agent systems under the proportional-derivative (PD) control protocol. It devises an automatic search algorithm for the polynomial Lyapunov ...

A robust procedure is developed for estimating density functions from data. It requires the existence of a parametric function, called the key function, to give a first approximation to the density ...

There are a number of situations in which it is useful to graduate fertility distributions; for example when the data are obtained from small samples of the population, or when it is desired to ...

A polynomial is an algebraic expression containing a series of terms joined together by addition or subtraction. In algebra, a term is a number times a variable; for example, 4x 2 + x - 6y is a ...