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 ...

I can find the best-fit polynomial function for the array, y = ax^2 + bx + c (where y = voltage output and x = incident temperature), and if I have arrays of data at flat fields captured at known ...

Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

Understanding Concepts of Polynomial Equations: find the topic and its importance and types. Download or read complete content here.

Solving polynomials We solve polynomials algebraically in order to determine the roots - where a curve cuts the x -axis. A root of a polynomial function, f (x), is a value for x for which f (x) = 0.

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have one or many variables in any combination, and the magnitude of them is ...

Polynomial Regression Consider a response variable Y that can be predicted by a polynomial function of a regressor variable X. You can estimate , the intercept, , the slope due to X, and , the slope ...

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 ...

The conditional variance function in a heteroscedastic, nonparametric regression model is estimated by linear smoothing of squared residuals. Attention is focused on local polynomial smoothers.