Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

A function is a rule that is applied to one set of values to give another set of values. A function can be illustrated on a graph – points are plotted as coordinates and joined by either a straight ...

PART V. of the new geometry by Messrs. Hall and Stevens has been recently issued, and the whole work, so far as it is completed, is now conveniently published in one volume. The final part, dealing ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c\) is a smooth curve with one turning point. The turning ...

The authors do not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and have disclosed no relevant affiliations beyond their ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Wolfram|Alpha: The makers of Mathematica (a very powerful mathematical software package, popular amongst applied mathematicians and engineers) bring us a "google-like" mathematical search engine. In ...