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It is proved that the amplitude of Dirichlet function at each point is 1.
1. Dirichlet function periodic function (generalized period), its period is infinitely small.

2. The amplitude of the periodic function at any point. That is to say, the amplitude a of the periodic function is unique.

When a.x is irrational, the function value is 1. Therefore, A>= 1.

B.x = 1 | 0, so anywhere, | x |

c.A=max(|x|)。

D.A= 1 from a.b.c