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Today:
"Improvements in the particle-counting technique called accelerated mass spectroscopy (AMS) have greatly contributed to filling in the gaps of uncertainty in the time line, says John Southon of the University of California, Irvine. Scientists began using AMS in the 1970s, but recent advances mean that it can be used to measure radiocarbon in much smaller samples."
When compounding is continuous (i.e. ), this reduces to the very lovely rule
So the question remains: how do we know that
Let's rewrite it a little: we want to show that
(take logs! Better than induction....)