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Ugh, what a mess. This thread started off with an example that basically had nothing to do with relativity. Then guss made a new (interesting!) version that did have to do with relativity, but posted it both here and in the relativity forum. Guss, please don't duplicate threads like that -- it's inconsiderate, because people expend double the effort and it wastes their time. Discussion has been going on for quite a while now in both threads, so it's not practical to combine them. Since this thread has been mostly about example #1, and the other thread has been mostly about example #2, I'm going to close this thread and ask that anyone who has been participating in this thread's discussion of #2 do so in the thread in the relativity forum.