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This theorem will be found in many books on real analysis; for example, Robert G. Bartle, THE ELEMENTS OF REAL ANALYSIS (New York: John Wiley & Sons, 1964).
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The author gratefully acknowledges the valuable comments of his colleague, Dr. Roy Perry, particularly with respect to the arguments in sections IV and V.
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Meek, B.L. A note on uniform election processes as Riemann-Stieltjes integrals. Public Choice 10, 41–60 (1971). https://doi.org/10.1007/BF01718621
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DOI: https://doi.org/10.1007/BF01718621