2936: Exponential Growth

2024-05-23T05:49:52Z

172.70.127.90: /* Explanation */

{{comic
| number = 2936
| date = May 22, 2024
| title = Exponential Growth
| image = exponential_growth_2x.png
| imagesize = 545x264px
| noexpand = true
| titletext = Karpov's construction of a series of increasingly large rice cookers led to a protracted deadlock, but exponential growth won in the end.
}}

==Explanation==
{{incomplete|Created by a 2^64TH ITERATION OF A BOT - Please change this comment when editing this page. Do NOT delete this tag too soon.}}

{{w|Exponential growth}} is the principle that if you keep multiplying a number by a value larger than 1, you will pretty quickly get very large numbers. Even if you start with 1 and simply double it each time, you'll have a 10-digit number after about 30 iterations.

This principle is often illustrated using the story "Game of Rice". A king of India wished to reward a man for creating a new game of Chess, and told him that he'd grant any wish. The man simply asked for a {{w|Wheat and chessboard problem|grain of wheat to be placed on a chess board and for it to double with each square on the board each day.}} The king granted his strange request and ordered one wheat grain to be placed on the board. The second day two more pieces were placed on the square next to that and the day after four pieces on the next. However, by day 20 there was over 500,000 grains on the board. The king had to dig into his own stock pile to pay his dues. On day 24 the king owed 8 million grains. By day 32 the king owed over 2 billion pieces of grain, at this point he had to give up and offered the man another prize.

Instead of this being a (possibly apocryphal) story, [[Black Hat]] used it literally during a game of chess to annoy his opponent into quitting. Black Hat begins describing the metaphor, only to reveal it wasn't a metaphor at all. Black Hat had been playing actual Chess games, and tried to force his opponent to resign by burying the chess pieces in rice.

{{w|Garry Kasparov}} is a world renowned Russian chess master. He had the highest FIDE chess rating in the world-one of 2851 points-until {{w|Magnus Carlsen}} surpassed that in 2013 by 31 points. The Kasparov gambit is an opening move in chess.

In 1984-85 Garry Kasparov played {{w|Anatoly Karpov}} in a 5-month-long 48-game championship tournament which was abandoned. In the 1984-85 match Kasparov was losing 4-0 with 6 points being required to win. Kasparov proceeded to draw 35 times before the match was abandoned.

In a 1985 rematch, Kasparov defeated Karpov for the world championship title, which he retained in their next rematch in 1986.

* First row:
** a1: 1
** a2: 2
** a3: 4
** a4: 8
** a5: 16
** a6: 32
** a7: 64
** a8: 128
* Second row
** b1: 256
** b2: 512
** b3: 1,024
** b4: 2,048
** b5: 4,096
** b6: 8,192
** b7: 16,384
** b8: 32,768
:
* First of each row
:
** c1: 65,536
** d1: 16,777,216
** e1: 4,294,967,300
** f1: 1,099,511,630,000
** g1: 281,474,977,000,000
:
* ...
:
* Eighth row
** h1: 72,057,594,040,000,000
** h2: 144,115,188,100,000,000
** h3: 288,230,376,200,000,000
** h4: 576,460,752,300,000,000
** h5: 1,152,921,505,000,000,000
** h6: 2,305,843,009,000,000,000
** h7: 4,611,686,018,000,000,000
** h8: 9,223,372,036,854,775,808

==Transcript==
{{incomplete transcript|Do NOT delete this tag too soon.}}
:[Black Hat is talking to Cueball standing next to him.]
:Black Hat: Exponential growth is very powerful.

:[Closeup on Black Hat. Next to him is an image of the lower left part of a chessboard. The four leftmost squares in the bottom row have grains of rice on them -- one, two, four, and eight grains respectively.]
:Black Hat: A chessboard has 64 squares.
:Black Hat: Say you put one grain of rice on the first square, then two grains on the second, then four, then eight, doubling each time.

:[Black Hat has emptied a bag of rice on a chessboard. There are several bags next to him and a pile of rice already on the table. A frustrated Hairy is walking away, fists clenched.]
:[Caption above panel, representing Black Hat continuing to speak:]
:If you keep this up, your opponent will resign in frustration.
:It's called Kasparov's Grain Gambit. Nearly impossible to counter.

{{comic discussion}}

[[Category:Comics featuring Black Hat]]
[[Category:Comics featuring Cueball]]
[[Category:Comics featuring Hairy]]
[[Category:Chess]]
[[Category:Food]]
[[Category:Comics featuring real people]]

Talk:2775: Siphon

2023-05-13T15:35:59Z

172.70.127.90:

My understanding was that siphoning can essentially be explained by the Bernoulli equation? There is a difference in potential energy between the upper and lower container so it flows. The weight of water in the downhill part of the tube pulls water up the uphill section of the tube (think like a vacuum), and so on until there's either no difference in head or no more water. Siphoning will work with any diameter tube. [[Special:Contributions/172.70.91.151|172.70.91.151]] 15:43, 12 May 2023 (UTC)
:That's right. The only mention of capillary action in the siphon wikipedia article is when talking about phenomenon that *isn't* a siphon. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 16:15, 12 May 2023 (UTC)

Agree, capillary action does not seem to be referenced or implied in the comic, presenting only the (not "functioning") siphon phenomenon. [[Special:Contributions/172.68.134.142|172.68.134.142]] 16:23, 12 May 2023 (UTC)
:Seconded/thirded. Capillary action isn't even what they were expecting. The small amount of water in the lowe receptical indicates they correctly ''filled'' the tube, but then as the longer length drained it did not then induce further flow up and over through the shorter length. e.g. nature no longer abhored the resulting vacuum (or there was increased negative-pressure vapourisation, beyond that previously expected, or other method of seepage 'airlock'-breaking) and thus the short-end also drained straight back out again instead of becoming a potentially self-sustaining inflow to the whole siphoning setup.
::If the upper end got restricted (say by touching the side of the bucket) the loss of flow would allow air to enter the bottom end and drain out the tube. I've done this. :-( [[User:RIIW - Ponder it|RIIW - Ponder it]] ([[User talk:RIIW - Ponder it|talk]]) 19:07, 12 May 2023 (UTC)
:::Indeed, even having an especially large diameter "tube" (/pipe etc) can allow air from the bottom to flow up to the peak & break the siphon effect. For reliable results, the lower end needs to be kept immersed or the hose needs to be relatively small in diameter. [[User:ProphetZarquon|ProphetZarquon]] ([[User talk:ProphetZarquon|talk]]) 14:11, 13 May 2023 (UTC)
:While the capilliary action element ''could'' induce the start of a rather limited 'empty' siphon setup to start (maybe, I'd have doubts about the 'fluid friction' actually acting against the gravity-feed part, once the surface-tension bit has "climbed the mountain" and started to merely seep out of the other end, almost incidentally, for a sufficiently thin tubing where CA is a significant factor), this suddenly failing for whatever reason (surface-tension effects being nullified) wouldn't then send a token amount of water into the low bucket, nor particularly stop unrelated siphon-flow from continuing properly (in fact, suddenly 'interaction-free' liquid and tubing might siphon ''faster'', with effectively zero fluid boundary effects dragging on the induced flow).
:But perhaps someone with more QFD experience could explain where my assessment is wrong. So not going to personally rewrite the current Explanation intro just now. [[Special:Contributions/172.70.162.161|172.70.162.161]] 16:21, 12 May 2023 (UTC)
:I'd like to contribute as one more data point. I also don't see capillary action as being relevant. In particular, as another commenter said, the water in the lower bucket quite clearly supports the idea that the siphon effect was the subject of the characters' confusion. How else is Randall supposed to depict the siphon effect anyway? I agree that the drawing alone ''could'' also suggest capillary action is what's being investigated, but I don't think it suggests that the caption has ''incorrectly'' referred to it as the siphon effect. [[Special:Contributions/172.71.254.100|172.71.254.100]] 18:44, 12 May 2023 (UTC)

Of course, if some physical law would actually stop working, people wouldn't be confused. They would drop dead. Due to physical laws working on level of elementary particles, every change would have lot of different effects ... and living organism live only thanks to being very carefully balanced in lot of regards. -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 20:49, 12 May 2023 (UTC)

Bug report 6EQUJ5: Odd signal emitted from Sagittarius constellation. Status: Closed - could not reproduce. [[Special:Contributions/172.71.26.69|172.71.26.69]] 03:20, 13 May 2023 (UTC)

Siphoning is NOT because of capillary action! That should be changed!! [[Special:Contributions/172.70.127.90|172.70.127.90]] 15:35, 13 May 2023 (UTC)

== Potential inspiration ==

One potential source of inspiration for this comic is the Twitter [https://twitter.com/earth_updates account @Earth_Updates], which produces a lot of similar content. [[User:PotatoGod|PotatoGod]] ([[User talk:PotatoGod|talk]]) 19:54, 12 May 2023 (UTC)

I think if I added it to the article body it would get reverted, but the content seems very similar to how AI media produced delusional worlds for so many factions of people. It is not at all a big stretch to imagine people stepping into a metaverse or matrix where they aren’t sure what is real and physical laws match their intuition more than is actually correct. [[Special:Contributions/162.158.158.171|162.158.158.171]] 08:23, 13 May 2023 (UTC)

== Title text ==

Isn't the title text about stars like our sun rather than about plutonium? [[Special:Contributions/198.41.242.95|198.41.242.95]] 00:55, 13 May 2023 (UTC)h
:Seems to me unlikely that anyone would refer to stars as 'rocks'.[[User:Catherine|Catherine]] ([[User talk:Catherine|talk]]) 02:54, 13 May 2023 (UTC)

explain xkcd - User contributions [en]

2936: Exponential Growth

Talk:2775: Siphon