Problem Type 1 focuses on identifying whether a given function is even, odd, or neither. This type of problem typically ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

For novices, functions are one of the most intimidating features of OpenOffice.org's Calc. Newcomers quickly learn that functions are a main feature of spreadsheets, but there are almost four hundred, ...

NIST has released a five-chapter preview of the much-anticipated online Digital Library of Mathematical Functions. In development for over a decade, the DLMF is designed to be a modern successor to a ...

Presburger arithmetic is the first-order theory of the natural numbers with addition (but no multiplication). We characterize sets that can be defined by a Presburger formula as exactly the sets whose ...

At its core, continuity implies that small changes in the input of a function result in small changes in its output. More ...

Abstract A new characterization of the exact minimax penalty function method is presented. The exactness of the penalization for the exact minimax penalty function method is analyzed in the context of ...