At its core, continuity implies that small changes in the input of a function result in small changes in its output. More ...

A tweet directed me to an interesting article on world population. The author, Jonathan Good, asks the percentage of people who have ever lived that are alive today and then estimates the answer. The ...

The density topology on the real line consists of all measurable sets whose all points are their points of Lebesgue density one. A real-valued function of a real variable that is continuous with ...

The exact formula for the Hausdorff dimension of the graph of a continuous self-affine function is obtained. The Hausdorff dimension of some class of Borel probability measures is computed. The ...