Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...

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 ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

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 ...

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 due to X 2, in for the ...

This function is an example of a nonpolynomial model which exhibits a shape similar to that of a multivariate polynomial. Lim et al. (2002) compare predictions from this function with predictions from ...

Shrinking technology nodes and smaller process margins require improved photolithography overlay control. Generally, overlay measurement results are modeled with Cartesian polynomial functions for ...

Learn how to calculate the limits of a polynomial function without breaking your head. A quick and easy method so you'll never make a mistake again! #FunctionLimits #EasyMath #MathTips Republicans ...