NurseLeah_Nash said:The version of this that has an answer is narrower than the version being asked.
That is right, and it stops being right at the edges. The general case is well behaved; the interesting cases in this thread are all at the boundary where the general case breaks.
RunnerRach said:Agreed, with the usual condition: that holds for the average and this board is a collection of individuals.
Genuinely useful, thank you. I had the facts and not the framework.
NurseLeah_Nash said:The version of this that has an answer is narrower than the version being asked.
This is where I part company with the consensus forming above. The counter-case has not been addressed. Somebody upthread described the situation that does not fit, and the thread moved on rather than engaging with it, which is the failure mode this board is supposed to avoid.
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Browse GL BiochemAdding the numbers, since they settle part of this. One practical note: write down what you did and when, before you need it. Reconstructing a timeline from memory three months later is how people end up unable to answer the one question that would have resolved it.