Post #1209925
2026-03-17 13:30 UTC
I just realised that Hoffman's result is a geometric version of the 3-variable case of the AM-GM inequality. I’m sure that was very obvious to some of you!
\[ \frac{a+b+c}3 \ge \sqrt[3]{abc} \]
iff
\[ (a+b+c)^3 \ge 27abc \]
for positive real a, b, c.
Replies (1)
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@robinhouston@mathstodon.xyz 2026-03-18 10:53
Apparently it's an open question whether you can do the same thing in 5 dimensions.