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 ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

Approaching negative infinity: The graph falls indefinitely as x approaches positive or negative infinity. Approaching a horizontal asymptote: The graph approaches a horizontal line as x approaches ...