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| | Some of the calculations done forward (assuming what Randall means as a Generation, for example) might be best done as "to get this many days, what does Randall think ilhe is starting from. And see if 365, 365.25 or even 365.24 days per year works best, where relevent. Although I think in many cases you'll find the fractional differences negligable, when done right. (I'm also a bit surprised by the off-by-one errors in days-to-go and derived value, but I suspect that this is because of [[2585: Rounding|assymetric rounding effects]] that would be revealed by running the assumption backwards and seeing how different (or otherwise) the decimals actually are.) [[Special:Contributions/172.70.85.211|172.70.85.211]] 13:32, 23 June 2022 (UTC) | | Some of the calculations done forward (assuming what Randall means as a Generation, for example) might be best done as "to get this many days, what does Randall think ilhe is starting from. And see if 365, 365.25 or even 365.24 days per year works best, where relevent. Although I think in many cases you'll find the fractional differences negligable, when done right. (I'm also a bit surprised by the off-by-one errors in days-to-go and derived value, but I suspect that this is because of [[2585: Rounding|assymetric rounding effects]] that would be revealed by running the assumption backwards and seeing how different (or otherwise) the decimals actually are.) [[Special:Contributions/172.70.85.211|172.70.85.211]] 13:32, 23 June 2022 (UTC) |
| − | : I would suggest using 365.2425 days per year, as that's consistent with current leap year conventions. [[User:Dansiman|Dansiman]] ([[User talk:Dansiman|talk]]) 21:49, 23 June 2022 (UTC)
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| − | :: Did not see your comment, but already done trivial replacement. No recalculation that goes more complicated than magnitude, though.
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| − | ::(For the mathematically curious, in the Gregorian calendar it's normally 365 days, but a leap day every four years (+0.25 => 365.25), except no leap day every century (-0.01 => 365.24), except there is every fourth century (+0.0025 => 365.2425). Which is very very close to the more astronomically-precise figure of 365.2422, at least at this point in our planet's history and definitely over the timescale of the Gregorian calendar itself. ''edit-to-add-convoluted-musings'': A successor system ''might'' need to de-reinstate three of the Four-Millenial leap-days in every 10,000 year period, or perhaps by re-removing four of its various leap-days then re-reinstating one of ''those'' back again, but by the time it's relevent I doubt that 365.2422 is going to be as valid for whatever reason... Hey, by then, maybe we could just deliberately adjust the Earth in or out a bit to make it a better fraction/not a fraction at all! )
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| − | ::On the other hand, the old adage is "no use being precise over imprecise details". One can perhaps apply it to nominal decades (the true average decade; though a given decade might be 10*365 days plus either ''two'' or ''three'' leap-days, for 3652.5±0.5 days in that instance... not equally likely each way, though) but the Generations calculation already ''assumes'' 27 years per generation (not even 27.5, exactly half way between 22 and 33, which already seems a dubious backformation to suit other purposes) and gets a good-enough ''approximate'' number. Using a factor precise to around 1 in 146000 alongside one that's unlikely to be even as accurate as 1 in 54 is a bit rich and overly anal (rather than analytic) in the long-run.
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| − | ::But this is explainxkcd, so I'm not saying it's misplaced, just that those who would be pedantic about everything (myself included) might find themselves even more out-pedanted in very reasonable circumstances... ;) [[Special:Contributions/172.70.162.77|172.70.162.77]] 22:47, 23 June 2022 (UTC)
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| | Not sure about most numbers but at least the order of magnitude seemed plausible. I can't quite find a proper way to read August 28th. π^π^π is roughly 80662.666 - if you read πcoseconds as "picoseconds", that's way less than a second. I have no idea what π * coseconds are supposed to be. π * c * o * seconds doesn't look much better - there are values associated with "c" (speed of light, for example) but I have no idea what "o" could be and certainly nothing that would make this a unit of time. Sixteen days would be 1,353,600,000,000,000,000 ps (picoseconds). π^π^π^π is three orders of magnitude too small, π^π^π^π^π is many orders of magnitude too big a number. Am I missing something (really obvious, maybe?) here? [[User:627235|627235]] ([[User talk:627235|talk]]) 14:52, 23 June 2022 (UTC) | | Not sure about most numbers but at least the order of magnitude seemed plausible. I can't quite find a proper way to read August 28th. π^π^π is roughly 80662.666 - if you read πcoseconds as "picoseconds", that's way less than a second. I have no idea what π * coseconds are supposed to be. π * c * o * seconds doesn't look much better - there are values associated with "c" (speed of light, for example) but I have no idea what "o" could be and certainly nothing that would make this a unit of time. Sixteen days would be 1,353,600,000,000,000,000 ps (picoseconds). π^π^π^π is three orders of magnitude too small, π^π^π^π^π is many orders of magnitude too big a number. Am I missing something (really obvious, maybe?) here? [[User:627235|627235]] ([[User talk:627235|talk]]) 14:52, 23 June 2022 (UTC) |
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| | :(Not ✓-1, it's just straight repeated subtraction, not a power function...) After so much beer, you probably think it a good idea (even necessary) to fill cans up and start to put them back up on the wall... Not sure you could sustain it, to the point of F(-99), but I think someone'd be more than ready to start the process when F(-1) is invoked, for any group of just a few likely individuals.. [[Special:Contributions/172.70.91.58|172.70.91.58]] 16:23, 23 June 2022 (UTC) | | :(Not ✓-1, it's just straight repeated subtraction, not a power function...) After so much beer, you probably think it a good idea (even necessary) to fill cans up and start to put them back up on the wall... Not sure you could sustain it, to the point of F(-99), but I think someone'd be more than ready to start the process when F(-1) is invoked, for any group of just a few likely individuals.. [[Special:Contributions/172.70.91.58|172.70.91.58]] 16:23, 23 June 2022 (UTC) |
| | :This begs the question of what beer bottles are doing on a wall, rather than a shelf. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 16:26, 23 June 2022 (UTC) | | :This begs the question of what beer bottles are doing on a wall, rather than a shelf. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 16:26, 23 June 2022 (UTC) |
| − | : Randall already considered what happens at F(0), refer to the title text. [[User:Paddles|Paddles]] ([[User talk:Paddles|talk]]) 08:16, 24 June 2022 (UTC)
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| − | : If you wanted to take down an imaginary bottle of beer, you'd have to take it from another wall that runs orthogonal to the original wall. [[Special:Contributions/172.70.85.211|172.70.85.211]] 08:50, 24 June 2022 (UTC)
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| − | We've finally filled in all the units columns in the table. Hopefully someone can automate turning that into a transcript. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 16:51, 23 June 2022 (UTC)
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| − | Funfact: This comic mentions Cyndi Lauper by name, and it was published on her birthday… [[Special:Contributions/162.158.38.27|162.158.38.27]] 20:51, 23 June 2022 (UTC)
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| − | :Sweet! I'm a big fan of playing ''Time after Time'' on repeat to get into a flow state, so I loved that one. [[Special:Contributions/162.158.166.183|162.158.166.183]] 20:43, 24 June 2022 (UTC)
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| − | Looks like someone's math is wrong on the explanation for July 18. I calculated using 4681 and 4763 years and they came out to 51.29 days and 52.19 days, respectively. So then I worked backwards and determined that Randall would actually have to be using a number closer to 5200 years to arrive at the correct result of 57 days. [[User:Dansiman|Dansiman]] ([[User talk:Dansiman|talk]]) 21:49, 23 June 2022 (UTC)
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| − | Randall seems to be wrong about "It's a Small World". The song is about 2 minutes long, so at 1/10,000 speed it's 20,000 minutes = 14 days. He seems to be using a length a little over 3 minutes. I found a YouTube video of the ride that's 3:45, but the song ends at 2:15 and the rest is silent. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 22:16, 23 June 2022 (UTC)
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| − | :[https://www.youtube.com/watch?v=PxRW-duSCLA This video of it] on YouTube lasts 3:02. It was uploaded by Universal Music Group (allied with Disney), making it some kind of 'official' version, and its length fits Randall's calculation. (Also, thanks for making the table!) [[User:DKMell|DKMell]] ([[User talk:DKMell|talk]]) 22:38, 23 June 2022 (UTC)
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| − | ::That could be it. It has a long instrumental coda after the singing is done. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 14:07, 24 June 2022 (UTC)
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| − | Could "eπ Ionian months" also be a very subtle reference to the {{w|Euler identity}} given the first two characters of Ionian? Or am I reading/visualising a bit too much into it? [[User:Paddles|Paddles]] ([[User talk:Paddles|talk]]) 08:16, 24 June 2022 (UTC)
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| − | Aug 26 needs editing, but I just reset my password and can't fix it. At 4 breaths per minute, 100,000 breaths is 17.36 days. To get 17 days exactly, Randall would need to assume about 4.085 breaths per minute. [[User:Wjw|Wjw]] 08:24, 24 June 2022 (UTC)
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| − | :Most of the calculations are very approximate. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 14:07, 24 June 2022 (UTC)
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| − | ::Many of them were given to subsecond digits of precision, too, so I rounded everything off to two significant digits of days unless there was some compelling reason to have 0, 1, or 3. Don't @ me, because I filled up and homogenized all that column, finally (except for 100,000 breaths, which are slow enough to be what I'm guessing is probably Randall's error.) If someone wants to get a better value for the total duration of ''Star Trek'' than the January, 2021 reference I found by counting all the released episodes since up to the date of the cartoon, please do. [[Special:Contributions/162.158.166.183|162.158.166.183]] 20:26, 24 June 2022 (UTC)
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| − | :::For ''Star Trek'' total run time, it might be best to count all episodes scheduled for release up until August 14, the date of that specification. [[Special:Contributions/172.70.210.233|172.70.210.233]] 21:02, 24 June 2022 (UTC)
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| − | There's a closing /div HTML tag on the front page after the transcript (but not on this page). [[User:Nitpicking|Nitpicking]] ([[User talk:Nitpicking|talk]]) 17:21, 24 June 2022 (UTC)
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| − | Thoughts on including a "% of error" column in the table?[[Special:Contributions/172.70.130.121|172.70.130.121]] 15:54, 27 June 2022 (UTC)
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| − | :An additional column would make it look worse on mobile portrait, and a residual error wouldn't really explain anything that readers couldn't get a gist of by eyeballing. [[Special:Contributions/172.70.210.233|172.70.210.233]] 01:31, 3 July 2022 (UTC)
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| − | :Most of these don't really have a margin of error, they're all based on specific numbers, beyond that most of them can go to a ridiculous number of decimal places (mostly due to the infinite decimal places of pi, e and phi). Rounding to 2 decimal places is sufficient and doesn't count as a "margin of error". [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 23:54, 3 July 2022 (UTC)
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| − | Several entries were rather unspecific, particularly the ones just saying "See day whatever" (and one "Refer"), so I plugged in some numbers. Also, it seems like the Star Trek entry should specify what's included - strange that unlike the others, it doesn't end up under a day less than the target. Also, that entry referred to/used an article which summarized CBR, I replaced it with the detailed article from CBR itself, then listed all the shows and movies, and added the things the article missed. [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 23:54, 3 July 2022 (UTC)
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| − | : Great work. I wonder if Randall is counting some fan-made Trek. [[Special:Contributions/172.70.211.36|172.70.211.36]] 01:10, 5 July 2022 (UTC)
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