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 ...

Recent investigations probe the arithmetic properties of these functions, exploring congruence relations and modular behaviour that reveal surprising regularities.

World's first programmable nanoprocessor: Nanowire tiles can perform arithmetic and logical functions Date: February 9, 2011 Source: Harvard University Summary: Scientists have developed and ...

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, ...

Here's why math fact fluency matters, and what we know from research about teaching strategies and timed exercises.

From classrooms to kitchen tables, debates about math education are never far away. Should teachers drill multiplication ...