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math.GM2016★ 2 cited
The minimum overlap problem revisited
Jan Kristian Haugland
For a given partition of (1, 2, ..., 2n) into two disjoint subsets A and B with n elements in each, consider the maximum number of times any integer occurs as the difference betwee…
math.GM2016★ 1 cited
Evaluating the Fabius function
Jan Kristian Haugland
The Thue-Morse sequence (1, -1, -1, 1, -1, 1, 1, ...) can in a sense be naturally extended to a continuous function f called the Fabius function. It is shown how to determine the e…