Reference:
https://demonstrations.wolfram.com/TheModifiedDirichletFunction/
https://mathworld.wolfram.com/DirichletFunction.html
https://math.fel.cvut.cz/mt/txtb/4/txe3ba4s.htm
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0:00 Five Anti-intuition Calculus Questions
0:20 Derive the Dirichlet Function
1:35 Dirichlet Function Formal Introduction
2:07 Can A Function Be Defined Everywhere but Discontinuous Everywhere
3:37 Can The Sum of Two Discontinuous Function Be Continuous?
4:09 Can The Product of Two Discontinuous Function Be Continuous?
4:25 Can A Function Be Continuous Only at Given Points?
5:54 Can A Periodic Function Have No Minimal Period?
7:10 The Outro
7:29 Bonus Clip
