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 ...

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 ...

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 ...

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, ...

Most engineering labs have digital oscilloscopes, but many engineers don’t fully explore their features. Among the more interesting features of a digital oscilloscope is its math channel, which can ...

Randolph Grace receives funding from the Marsden Fund, administered by the Royal Society of New Zealand. University of Canterbury provides funding as a member of The Conversation AU. University of ...