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, ...

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 ...

NIST has released the Digital Library of Mathematical Functions (DLMF) and its printed companion, the NIST Handbook of Mathematical Functions, the much-anticipated successors to the agency's most ...

Let d(n), respectively σ(n), stand for the number, respectively the sum, of the positive divisors of n, and let φ be Euler's totient function. Also let d₃(n) be the number of solutions of a₁a₂a₃ = n ...

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 ...

Even the simplest digital storage oscilloscope (DSO) or digitizer includes some form of waveform mathematics. Waveform math extends the usefulness of these data acquisition-based instruments. The ...

The .NET library (formerly called .NET Core) doesn't have built-in functions for classical statistics analyses. But it is possible to implement such functions from scratch. This article presents C# ...