Timeline for Prove or disprove that the power of positive term polynomial will be eventually single peak
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Mar 12, 2022 at 23:34 | comment | added | JetfiRex | @SamHopkins Thank you for giving that... Since besides the really wide "there is exactly one maximum", "single peak" is also one meaning presented there... | |
| Mar 12, 2022 at 23:33 | comment | added | Sam Hopkins | @JetfiRex: here is a basic reference about unimodal sequences: dedekind.mit.edu/~rstan/pubs/pubfiles/72.pdf. | |
| Mar 12, 2022 at 23:31 | comment | added | Sam Hopkins | This is the standard definition of what it means for a sequence of real numbers to be unimodal: mathworld.wolfram.com/UnimodalSequence.html. | |
| Mar 12, 2022 at 23:27 | comment | added | JetfiRex | @T.Amdeberhan For the deleted remark, when I tried to read wiki, it is said that "unimodal" is kind-of ambiguous... One interpretation is that unimodal means that "there is exactly one maximum", and the other is "single-peak" or so... Also, could you elaborate more about the content (from "we know this") there...? Could you give a reference (if possible) and how this proved the problem (since... I don't know what is "internal zero")... And also log-concave is really strong result though, at least stronger than single peak. But... I am not sure whether log-concave is a thing that can be proved. | |
| Mar 12, 2022 at 23:27 | comment | added | JetfiRex | @SamHopkins When I tried to read wiki, it is said that "unimodal" is kind-of ambiguous... One interpretation is that unimodal means that "there is exactly one maximum". | |
| Mar 12, 2022 at 18:38 | comment | added | T. Amdeberhan | @SamHopkins: JetfiRex was misled by my remark (deleted now) that said "no guarantee for unique peak". My mistake it was. | |
| Mar 12, 2022 at 18:35 | comment | added | Sam Hopkins | @JetfiRex: Isn't "single peak" exactly the same as "unimodal"? If not, you should explain the difference. | |
| Mar 12, 2022 at 18:14 | history | edited | T. Amdeberhan | CC BY-SA 4.0 |
deleted 61 characters in body
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| Mar 11, 2022 at 22:06 | comment | added | JetfiRex | Thank you, that is a nice extension to what I am thinking for ''apply CLT'' in the statement to.''claim that the middle ones are ''somewhat'' single peak.'' Unimodel is kind of close to single peak though... | |
| Mar 11, 2022 at 18:26 | history | answered | T. Amdeberhan | CC BY-SA 4.0 |