Chapter 20: Geometric-Arithmetic-Mean inequality via Cauchy's induction#119
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thielema wants to merge 1 commit intomo271:mainfrom
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Chapter 20: Geometric-Arithmetic-Mean inequality via Cauchy's induction#119thielema wants to merge 1 commit intomo271:mainfrom
thielema wants to merge 1 commit intomo271:mainfrom
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This is a proof of the Geometric-Arithmetic-Mean inequality via Cauchy's induction.
It uses Lists because they allow use to avoid fiddling with indices. I have also tried Vectors, but they do not have nice simplifications rules like
(a++b).sum = a.sum + b.sum.The proof is still lengthy. Maybe I find ways to shorten it. I think I can save some unfoldings by consistently using arithmetic_mean instead of
(a.sum / a.length).