It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question. In June 1978, the ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

This article offers a new method of solution for linear difference equations with Rational Expectations. We provide a description of the complete set of solutions which is shown to depend on arbitrary ...