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Dec 28, 2023 at 2:53 comment added john22445 But how to interpret sup{r∈R:P(|Sn|≥r)=1} for n∈N? it is because from my understanding, this means the least upper bound which is actually infinity?
Dec 28, 2023 at 0:43 history left closed in review Daniele Tampieri
Alex M.
user44191
Original close reason(s) were not resolved
S Dec 27, 2023 at 19:37 review Reopen votes
Dec 28, 2023 at 0:43
S Dec 27, 2023 at 19:37 history edited john22445
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Dec 27, 2023 at 19:34 history closed Alexey Ustinov
Christian Remling
Andreas Blass
Daniele Tampieri
kodlu
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Dec 27, 2023 at 18:47 comment added Christian Remling As in Iosif's answer below, the optimal arrangement is to take the final sign as $+$ and all the others as $-$. By the way, your question would have been much better suited (and likely better received at) math.stackexchange.com .
Dec 27, 2023 at 18:44 comment added john22445 Yes, do you have any idea on how to get An?
Dec 27, 2023 at 18:19 comment added Christian Remling This has nothing to do with probability since every arrangement has positive probability, so you are really asking: What is the smallest possible value (in absolute value) of $\sum \pm 4^n$ ?
Dec 27, 2023 at 17:55 review Close votes
Dec 27, 2023 at 19:42
Dec 27, 2023 at 17:50 answer added Iosif Pinelis timeline score: 1
S Dec 27, 2023 at 16:54 review First questions
Dec 27, 2023 at 17:39
S Dec 27, 2023 at 16:54 history asked john22445 CC BY-SA 4.0