Technical Terms Chromatic Symmetric Function: A symmetric function that sums over proper colourings of a graph, generalising the chromatic polynomial and encapsulating graph invariants.

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.

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.

Combinatorial polynomials, such as the Tutte, U‐ and Schubert polynomials, complement this by systematically organising information about graphs and posets into polynomial expressions.