The difference vectors for convex sets and a resolution of the geometry conjecture by Alwadani, Salihah, Bauschke, Heinz H., Revalski, Julian P., Wang, Xianfu

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The 3𝑥+1 Problem as a String Rewriting System by Joseph Sinyor

“…This approach enables the conjecture to be recast as two assertions. (I) Every odd 𝑛∈𝐍 lies on a distinct 3𝑥+1 trajectory between two Mersenne numbers (2𝑘−1) or their equivalents, in the sense that every integer of the form (4𝑚+1) with 𝑚 being odd is equivalent to 𝑚 because both yield the same successor. …”
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