Simplification and Strengthening of Weyl's Definition of Asymptotic Equal Distribution of Two Families of Finite Sets
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William F. Trench
wtrench@trinity.edu
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Abstract
Suppose that -∞ < a < b < ∞, a ≤ u1n ≤ u2n ≤ . . . ≤ unn ≤ b, and a ≤ v1n ≤ v2n ≤ . . . ≤ vnn ≤ b, n ≥ 1. We simplify and strenghthen Weyl's definition of asymptotic equal distribution of U = {{uin}ni=1}n≥1 and V = {{vin}ni=1}n≥1 by showing that the following statements are equivalent:
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Published
2004-10-01
How to Cite
[1]
W. F. Trench, “Simplification and Strengthening of Weyl’s Definition of Asymptotic Equal Distribution of Two Families of Finite Sets”, CUBO, vol. 6, no. 3, pp. 47–54, Oct. 2004.
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