Some Properties of Uniformly Distributed
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Y.N. Sun
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Article
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1993
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Elsevier Science
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English
β 258 KB
We show that if a transformation \(T\) on the unit interval is surjective, piecewise continuously differentiable, and uniform distribution preserving, then every u.d. sequence \(\bmod 1\) is the image of some other u.d. sequence \(\bmod 1\) induced by \(T\). As a consequence, we obtain that every u.