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.

ABSTRACT: This paper discusses further the roughness of Riemann-Liouville fractional integral on an arbitrary fractal continuous functions that follows Rfs. [1]. A novel method is used to reach a ...

Abstract: In this study, we establish a dynamic assessment test system in the topic of "limit and continuous functions" and analyze its functional efficiency. In the first year, a paper-and-pencil ...

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Abstract: This paper presents the derivation of the most energy-efficient source functions by using calculus of variations. The fundamental theorem of calculus of variations for finding the functions ...

Properties_of_continuous_functions_on_closed_intervals -- A formalization of properties of continuous functions on closed intervals. fun.v (A formalization of ...