J. M. Aldaz, J. Pérez Lázaro, Functions of Bounded Variation, the Derivative of the One Dimensional Maximal Function, and Applications to Inequalities, Transactions of the American Mathematical ...
In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.
https://doi.org/10.4169/amer.math.monthly.120.06.566 https://www.jstor.org/stable/10.4169/amer.math.monthly.120.06.566 Abstract We construct an example of a monotonic ...
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