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Jun 20, 2023 at 13:29 comment added Peter Taylor @LuisFerroni, my search program finds these in 8 seconds for unimodal and negligible time for palindrome and $\gamma$-non-negative. It's been running for over 2 hours without finding a counterexample for log-concave, so that's some empirical support for your intuition.
Jun 20, 2023 at 12:45 comment added Luis Ferroni I have checked and your examples are correct! Thank you.
Jun 20, 2023 at 11:55 history edited Peter Taylor CC BY-SA 4.0
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Jun 20, 2023 at 8:43 history answered Peter Taylor CC BY-SA 4.0