We show how certain basic results about cycles in directed and undirected graphs can be used to solve some clever problems that appeared in major mathematics competitions. Journal Information ...

In 1950 Edward Nelson, then a student at the University of Chicago, asked the kind of deceptively simple question that can give mathematicians fits for decades. Imagine, he said, a graph — a ...

What if instead of defining a mesh as a series of vertices and edges in a 3D space, you could describe it as a single function? The easiest function would return the signed distance to the closest ...

A mathematical function is a formula that takes an input, x, applies a set of calculations to it, and produces an output called y. By calculating a function at a large number of set intervals, it is ...

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 ...

A course designed to allow students to simultaneously satisfy their LS requirements and take MATH 1001, a Core IMPACTS Mathematics course. This course is designed to support a student taking MATH 1001 ...

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space. The points could be an infinite collection of electrons ...

Logarithmic convexity type continuous dependence results for discrete harmonic functions defined as solutions of the standard $C^0$ piecewise-linear approximation to ...