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A Fractal Example of a Continuous Monotone Function with Vanishing Derivatives on a Dense Set and Infinite Derivatives on Another Dense Set
Sierpinki Gasket harmonic function
2011/6/2
Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on an...
A hypothetical answer to the question of when a sufficiently large number of elements confirm that the set is infinite
elements confirm the set is infinite
2010/11/23
We present a conjecture on integer arithmetic which implies that there is an algorithm that for each recursively enumerable set M \subseteq \mathbb{N} given by a Diophantine representation computes a...