State if a rule is a function and, if it is, determine if it has an inverse that is also a function and justify Determine if a function is linear, quadratic, exponential, or none of these and provide ...

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 ...

By exploring positive geometry, mathematicians are revealing hidden shapes that may unify particle physics and cosmology, offering new ways to understand both collisions in accelerators and the ...

In particular, for a given real (not necessarily integer) value n of the number of degrees of freedom, we give a pair of power series approximations for the inverse, F−1 n , of the cumulative ...

An algorithm involving polynomial approximations for evaluation of the normal distribution function is presented which may be implemented in fast and accurate computer programs of moderate length.

Determining composite and inverse functions Composite and inverse functions can be determined for trigonometric, logarithmic, exponential or algebraic functions.

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 ...