Documentation

Marginis.CalvertFranklin2015

Genericity and UD–random reals #

WESLEY CALVERT and JOHANNA N.Y. FRANKLIN

This concerns the second sentence in the Introduction in the paper.

We define uniform distribution and prove that the constant 0 sequence is not uniformly distributed.

def uniformly_distributed_at (x : (Set.Ico 0 1)) (a : ) (b : ) (ε : ) :

The triple (a,b,ε) satisfies the conditions for uniform distribution of x.

Equations
def uniformly_distributed (x : (Set.Ico 0 1)) :

The sequence x is uniformly distributed in the half-open unit interval.

Equations

The constant zero sequence is not uniformly distributed.