ABSTRACT
This selection investigates the Hausdorff dimension of the graph of a continuous function https://www.w3.org/1998/Math/MathML"> f ℝ → ℝ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429037252/8de01632-0afb-4bad-a956-f9a9ec6de7c2/content/ieq0357.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> . If the function is differentiable, then that graph has dimension 1. So a computation of the Hausdorff dimension d > 1 is a more precise assertion than nondifferentiability. The dimension is related to the Lipschitz condition satisfied by f.
