  Based on the well-known Detrended Fluctuation Analysis (DFA) for time series,
in this work we describe a DFA for continuous real variable functions. Under
certain conditions, DFA accurately predicts the long-term auto-correlation of
the time series, depending on the value of certain scaling parameter. We show
that for continuous functions, the proposed continuous DFA also exhibits
fractal properties and approximates a power law with scaling exponent one.
