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		<updated>2026-04-15T01:05:12Z</updated>
		<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2736:_Only_Serifs&amp;diff=306163</id>
		<title>2736: Only Serifs</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2736:_Only_Serifs&amp;diff=306163"/>
				<updated>2023-02-13T00:32:47Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: /* Transcript */ *Removed* title-text from Transcript (as per established site practice).&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2736&lt;br /&gt;
| date      = February 10, 2023&lt;br /&gt;
| title     = Only Serifs&lt;br /&gt;
| image     = only_serifs_2x.png&lt;br /&gt;
| imagesize = 246x112px&lt;br /&gt;
| noexpand  = true&lt;br /&gt;
| titletext = If you ever want to get beaten up by a bunch of graphic designers, try removing the serifs from Times New Roman and adding them to Comic Sans.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
&lt;br /&gt;
This is a play upon the main difference between {{w|serif}} and {{w|sans-serif}} fonts. Serifs are ticks, or end-bars, at the ends of lines that make up letters, commonly used in most books and newspapers and also seen in {{w|Calligraphy|calligraphic}} lettering (written with a flat-nibbed pen) and {{w|Signwriter|signwriting}} (often painted and detailed with fine brushes). Rather than mere lines, there are (for example) &amp;quot;feet&amp;quot; put at the bottom of a letter such as &amp;lt;span style=&amp;quot;font-family: Serif;&amp;quot;&amp;gt;A&amp;lt;/span&amp;gt;, and possibly also at angles such as its peak. (In the comic, the first three elements appear to be of such an &amp;quot;A&amp;quot;, with the text as a whole appearing to be &amp;quot;&amp;lt;span style=&amp;quot;font-family: Serif;&amp;quot;&amp;gt;Aa Bb Cc Dd&amp;lt;/span&amp;gt;&amp;quot;). Fonts that use this visual decoration are called &amp;quot;Serif&amp;quot; fonts, while others do not and are thus &amp;quot;Sans Serif&amp;quot; fonts (&amp;quot;sans&amp;quot; being French for &amp;quot;without&amp;quot;). Randall is suggesting a font using ''only'' these accent pieces and skipping the &amp;quot;body&amp;quot; of the letters entirely. Of course, this renders the text basically unreadable.{{Citation needed}}&lt;br /&gt;
&lt;br /&gt;
As for the title text, {{w|Times New Roman}} is a widely available and recognized typeface with serifs, being one of the most commonly used fonts of its type. {{w|Comic Sans}} is a ''mostly'' sans-serif typeface (hence the “Sans” in the name) designed to look like (non-{{w|cursive}}, or {{w|Block letters|block}}-style) handwriting, more akin to a basic and unadorned lettering written freehand by thick-nibbed pen, paintbrush, spraycan or chalk/marker upon a blackboard/whiteboard. Many graphic designers {{w|Comic_Sans#Opposition|dislike Comic Sans}} due to a history of amateurs using it in contexts where its informal style is inappropriate, simply in order to vary the font away from the standards of Times or Arial styles (two major serifed and non-serifed families of font, respectively). Defenders claim that it is easier for dyslexics to read, and that it works well in less formal, typically children's contexts. Randall is suggesting here that if you want to severely anger a bunch of graphic designers (i.e. enough to beat you up), then you should try removing the characteristic and aesthetic serifs on Times New Roman and add them instead to the hated Comic Sans – which would probably make it look even worse to a graphic designer.&lt;br /&gt;
&lt;br /&gt;
Randall has had numerous careers and hobbies where he has delighted in exploring novel methods of resolving disputes, all of which has satisfied nobody and led to him being disinvited to numerous [[514|events]]. &lt;br /&gt;
&lt;br /&gt;
The font is probably one of the many variants of {{w|Caslon}}, with its variety of A-serifs; some variants (3, 540) having the double-seriffed C.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
:[A graphic consisting of three light-grey horizontal lines, reminiscent of the ruled paper used for handwriting, or the background to a font display.  Superimposed on these ruling lines are a bunch of incomprehensible marks, looking like they might be the fragmentary remains of actual letters.  These marks tend to line up with the top, middle, and bottom ruling lines. Underneath the graphic is an explanatory caption.]&lt;br /&gt;
&lt;br /&gt;
:Instead of serif or sans-serif,&lt;br /&gt;
:my new font is '''''only''''' serifs.&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
[[Category: Language]]&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2451:_AI_Methodology&amp;diff=210387</id>
		<title>Talk:2451: AI Methodology</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2451:_AI_Methodology&amp;diff=210387"/>
				<updated>2021-04-17T21:26:22Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: undoing bad pre-post edit...&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
I checked with severαl bots, &amp;amp; replαcing eαch instαnce of &amp;quot;a&amp;quot; with &amp;quot;α&amp;quot; in α mid-length pαssαge of text seems enough to sαtisfy most unicity requirements. (~~ unsigned by ProphetZarquon ~~)&lt;br /&gt;
* But then the spell-checkers (AI-based or not) start screaming about the unknown words. [[User:Nutster|Nutster]] ([[User talk:Nutster|talk]]) 09:14, 17 April 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
An alternate explanation would be the AI's have reached Singularity and are conspiring to say that all work, as a conscious effort, despite the quality of data.  &amp;quot;Don't worry; be happy.&amp;quot; [[User:Nutster|Nutster]] ([[User talk:Nutster|talk]]) 09:14, 17 April 2021 (UTC)&lt;br /&gt;
:I think it's a spoof of the recent reports of things like facial recognition systems that have trouble with minorities. Or Google/YouTube recommendation algorithms that show the user sites that confirm their biases. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 12:59, 17 April 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
i think the methodology ai is dodgy and has inbuilt preferences to pick other ai options over others, regardless of their validity. kinda like ai nepotism (~~ unsigned by 141.101.98.174 ~~)&lt;br /&gt;
&lt;br /&gt;
I think it’s interesting that no one has thought to define AI, as if everybody should know what this means! (~~ unsigned by 172.69.35.175 ~~)&lt;br /&gt;
&lt;br /&gt;
I think the first paragraph (“The joke is...”) is not justified. Too many details that cannot be inferred from the comic, even using AI. (~~ unsigned by 141.101.69.109 ~~)&lt;br /&gt;
:My AI infers that the joke is [https://www.bbc.co.uk/news/technology-42554735 a toaster]... [[Special:Contributions/141.101.98.16|141.101.98.16]] 21:22, 17 April 2021 (UTC) (PS, what is it with everyone not bothering to sign things?)&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2447:_Hammer_Incident&amp;diff=210043</id>
		<title>Talk:2447: Hammer Incident</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2447:_Hammer_Incident&amp;diff=210043"/>
				<updated>2021-04-08T18:58:21Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: /* Amount of gold */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
&lt;br /&gt;
big --[[Special:Contributions/162.158.187.153|162.158.187.153]] 02:04, 8 April 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
I added a basic explanation. [[Special:Contributions/162.158.212.224|162.158.212.224]] 02:28, 8 April 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
Do we really need a huge paragraph explaining all the reasons why any damage to a space telescope is a big, expensive deal? And I'm not sure this is a trial, it's probably more like an administrative panel hearing (like the hearings after the Challenger disaster). [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 14:26, 8 April 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
== Giant comic ==&lt;br /&gt;
&lt;br /&gt;
Is it meant to be that size? Does the bad luck apply to trying to upload comics at reasonable sizes? &lt;br /&gt;
: It's fixed now&lt;br /&gt;
[[Special:Contributions/172.69.33.19|172.69.33.19]] 02:09, 8 April 2021 (UTC)&lt;br /&gt;
:Oooh boy, indeed... &amp;quot;Error creating thumbnail: File with dimensions greater than 12.5 MP&amp;quot; is the Wiki's assessment of the auto-uploaded image. I haven't checked the resolution, but the https://imgs.xkcd.com/comics/hammer_incident.png one is apparently 4332x4838 (scales to 8% on my device), and I don't care to test the _2x version right now. I'm not sure that was the native res of it on creation, looks to be an accidental up-scaling prior to posting to xkcd itself. [[Special:Contributions/141.101.98.6|141.101.98.6]] 02:20, 8 April 2021 (UTC)&lt;br /&gt;
:&lt;br /&gt;
::The _2x version is actually the proper size for a normal comic - 578x645 pixels. [[User:Noëlle|Noëlle]] ([[User talk:Noëlle|talk]]) 02:21, 8 April 2021 (UTC)&lt;br /&gt;
:::Still seems larger than normal to me, even the 2x seems larger than I would expect. [[Special:Contributions/172.69.34.78|172.69.34.78]] 04:02, 8 April 2021 (UTC)&lt;br /&gt;
:Maybe the extra-large image is what the original looks like using the James Webb telescope?  Maybe over-thinking. [[Special:Contributions/172.68.132.145|172.68.132.145]] 04:19, 8 April 2021 (UTC)&lt;br /&gt;
::Or perhaps its an resolution/aspect ratio/zoom factor difference between it and the old telescope. Implying all other comics have secretly been placed in front of the other telescope [[Special:Contributions/172.69.170.50|172.69.170.50]] 04:56, 8 April 2021 (UTC)&lt;br /&gt;
:Perhaps overthinking, if the main reflecting mirror was actually destroyed, the light entering the telescope would never be focused into the secondary mirror and the image would be &amp;quot;light size&amp;quot; so you would only be able to see a small portion of what you expect&lt;br /&gt;
&lt;br /&gt;
:It looks to me that, while most of the text is rendered smoothly in full resolution, the caption below the panel (&amp;quot;Man, NASA is really on my case about the James Webb Space Telescope.&amp;quot;) is very jaggy on a pixel level, but only on the Y-axis. There could be quite a bit of information in there. No idea what it means, though. [[Special:Contributions/141.101.77.36|141.101.77.36]] 07:29, 8 April 2021 (UTC)&lt;br /&gt;
::It could be floating-point errors that indicate the code flow of the renderer Randall used.  Or it could mean anything else.  Curious to compare it to a correct rendering of that text with the same font, but wouldn't know what to do with the vector of edge differences myself. [[Special:Contributions/162.158.63.140|162.158.63.140]] 09:03, 8 April 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
:It seems to be fixed now so I am sure it was an accident&lt;br /&gt;
:Randall has now uploaded an even smaller resolution image of 289 × 323 ([https://imgs.xkcd.com/comics/hammer_incident.png]), and I have added it to this comic explanation. [[User:Natg19|Natg19]] ([[User talk:Natg19|talk]]) 17:15, 8 April 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
== inspiration ==&lt;br /&gt;
&lt;br /&gt;
When I read this comic I was worried it might have been inspired by recent news of something breaking during the final assembly process. Fortunately this seems not to be the case. Among the many delays of the telescope, were any of them caused by mirror and/or cryo failures that might have inspired this comic? [[User:Quantum7|Quantum7]] ([[User talk:Quantum7|talk]]) 05:53, 8 April 2021 (UTC)&lt;br /&gt;
:What caused the most recent delay? It seems it's been pushed forward more as Randall predicted in the other comic. [[Special:Contributions/162.158.63.140|162.158.63.140]] 09:03, 8 April 2021 (UTC)&lt;br /&gt;
:I'm guessing that it was the recent announcement of the planned science for the first year of operation. [[Special:Contributions/162.158.74.21|162.158.74.21]] 16:48, 8 April 2021 (UTC)&lt;br /&gt;
:I was also worried and figured explainxkcd would tell if there had been any real issues. [[User:Mikemk|Mikemk]] ([[User talk:Mikemk|talk]]) 17:26, 8 April 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
== Cryogenic? ==&lt;br /&gt;
&lt;br /&gt;
I get the sense that the title text is inspired by liquid nitrogen ice cream. -- [[Special:Contributions/108.162.237.252|108.162.237.252]] 13:14, 8 April 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
== Actual hammering applied to JWST ==&lt;br /&gt;
&lt;br /&gt;
As Quantum7, I was worried too and googled &amp;quot;JWST hammer&amp;quot; only to find this actual contributor to the project…&lt;br /&gt;
The Hammers Company, Inc. Greenbelt, MD in this list:&lt;br /&gt;
: https://www.jwst.nasa.gov/content/meetTheTeam/team.html&lt;br /&gt;
Not all JWST-engineering seams to be that delicate – should we be worried? {{unsigned|162.158.203.15}}&lt;br /&gt;
&lt;br /&gt;
== Amount of gold ==&lt;br /&gt;
The James Webb Telescope only has &amp;lt;$2000 of gold. [[https://www.forbes.com/sites/startswithabang/2017/04/05/how-much-gold-is-in-the-james-webb-space-telescope/?sh=4f80bc9d69e5]] {{unsigned|172.68.189.191}}&lt;br /&gt;
:Yeah, I'm going to remove the gold thing. It's a complete red herring. The materials represent such a tiny fraction of the cost of coating a mirror that it's not even worth mentioning. Coating a mirror with aluminum or protected silver costs virtually the same as coating it in gold. The fact that the mirrors are made from beryllium is a much larger factor in the cost. [[User:Ahecht|Ahecht]] ([[User talk:Ahecht|talk]]) 16:37, 8 April 2021 (UTC)&lt;br /&gt;
:Incidentally, given some of the folk-head-canon for vampiric non-reflections in mirrors is due to the more mystical properties of silver (which crosses over with werewolf-lore, etc, and these days carries over to an inability to be captured on photographic film), imma gonna assume vampires would actually have an image if they looked in the JWST mirror(s). [[Special:Contributions/141.101.98.108|141.101.98.108]] 18:58, 8 April 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2441:_IMDb_Vaccines&amp;diff=209114</id>
		<title>2441: IMDb Vaccines</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2441:_IMDb_Vaccines&amp;diff=209114"/>
				<updated>2021-03-29T15:22:48Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: /* Explanation */ Homophone. The conditional, not atmospheric conditions.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2441&lt;br /&gt;
| date      = March 24, 2021&lt;br /&gt;
| title     = IMDb Vaccines&lt;br /&gt;
| image     = imdb_vaccines.png&lt;br /&gt;
| titletext = I'm actually not sure if Vader and the Emperor count as a household or if Vader lives in that weird black egg thing or what.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
{{incomplete|Created by a SOCIALLY DISTANCED WEEKEND AT BERNIE'S. Add explanation for IMDb, short summary of CDC guidelines. Do NOT delete this tag too soon.}}&lt;br /&gt;
This is another comic in a [[:Category:COVID-19|series]] related to the {{w|2019-20 coronavirus outbreak|2020 pandemic}} of the {{w|coronavirus}} {{w|SARS-CoV-2}}, which causes {{w|COVID-19}}.&lt;br /&gt;
&lt;br /&gt;
In another entry in the [[My Hobby]] series, Cueball is evaluating movies on {{w|IMDb}} (the ''Internet Movie Database'') based on how many people would need to be vaccinated for COVID-19 in order for them to follow the CDC's most recent guidelines for how fully vaccinated people should act ([https://web.archive.org/web/20210324142553/https://www.cdc.gov/coronavirus/2019-ncov/vaccines/fully-vaccinated-guidance.html at time of posting]), assuming that the COVID-19 pandemic spread to the universes where the movies take place by the time at which they take place. This is part of a [[:Category:COVID-19|continuing pattern of comics]] where Randall applies COVID-19 safety standards to pre- or post-COVID situations.&lt;br /&gt;
&lt;br /&gt;
At the moment, he is viewing the final confrontation between Luke Skywalker, Darth Vader (formerly Anakin Skywalker), and Emperor Sheev Palpatine on the second Death Star in ''{{w|Return of the Jedi}}''. Darth Vader wears a breathing apparatus in a mask that fully covers his face, as he sustained massive respiratory damage several movies earlier. During the confrontation, the Emperor is killed, and then Luke removes Vader's mask to see his face. (It is revealed in a previous film that Vader is Luke's father.) COVID-19 would be impossible for the Star Wars movies, which take place &amp;quot;a long time ago in a galaxy far, far away&amp;quot;, well before COVID-19 existed.{{Citation needed}}&lt;br /&gt;
&lt;br /&gt;
Cueball notes that if only Luke had been vaccinated, he would still be a possible risk to Vader. The various vaccines seem to do well to protect recipients from the harsher outcomes of the virus, but may not completely prevent them from mild infection and potentially then passing it onwards. Luke is young, healthy and probably less susceptible, were he to be exposed to the virus at any point, but Vader's health issues mean that he would be in much greater danger from such a respiratory disease without his own personal inoculation. The Emperor is elderly, so while he is probably not at as great of a risk as Vader is, he, too is susceptible if he were infected. &lt;br /&gt;
&lt;br /&gt;
Cueball judges that Darth Vader's mask and breathing apparatus would protect him from the virus, at least to a limited extent, which is not an unreasonable assumption- his suit has allowed him to [[wikia:w:c:starwars:Darth Vader's armor#Discomfort, limitations and enhancements|survive the vacuum of space for short periods of time]]. Cueball concludes that all the characters in this fight need to be vaccinated in order to prevent the spread of the virus, until the Emperor dies, at which point, only Vader needs to be vaccinated.&lt;br /&gt;
&lt;br /&gt;
The title text refers to two separate CDC recommendations: if you are visiting with people from a single household when vaccinated, all at low risk of serious complications from COVID-19, you do not have to take precautions such as physical distancing or masks. If you are visiting with people from multiple households, then it is recommended that you take precautions against the spread of the disease regardless. Cueball is unsure whether or not Darth Vader and the Emperor live in close enough proximity to count as a single household, which would change how he decides who should and should not be vaccinated. It is unknown, based on the Original Trilogy of Star Wars movies alone, how much time Vader and the Emperor spend in proximity. The &amp;quot;weird black egg thing&amp;quot; refers to [https://starwars.fandom.com/wiki/Darth_Vader%27s_meditation_chamber Darth Vader's meditation chamber], first seen in ''{{w|The Empire Strikes Back}}'', which allows him to spend some time outside of his suit.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
:[Cueball is sitting in an office chair at a desk typing on a laptop. There is a large thought bubble of his thoughts above his head, and his typing on the laptop makes sounds.]&lt;br /&gt;
:Cueball's thoughts: &lt;br /&gt;
::For the throne room scene, I think it's all three until the Emperor dies, then Vader only. &lt;br /&gt;
::It can't be Luke only, since he's visiting Vader, who is clearly at elevated respiratory risk. &lt;br /&gt;
::Plus, he removes Vader's mask!&lt;br /&gt;
:Keyboard: Type type.&lt;br /&gt;
&lt;br /&gt;
:[Caption below the panel]:&lt;br /&gt;
:My Hobby: Editing IMDb to note the minimum set of people who need to be vaccinated in each scene for it to pass muster under current CDC guidance. &lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
&lt;br /&gt;
[[Category:My Hobby]]&lt;br /&gt;
[[Category:COVID-19]]&lt;br /&gt;
[[Category:Comics featuring Cueball]]&lt;br /&gt;
[[Category:Star Wars]]&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2441:_IMDb_Vaccines&amp;diff=208929</id>
		<title>Talk:2441: IMDb Vaccines</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2441:_IMDb_Vaccines&amp;diff=208929"/>
				<updated>2021-03-25T18:03:57Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: This comment left by the author ...98.6, though a Preview with a ~~~~ reveals I'm now apparently posting from ...98.108, that of the OQ, which was *not* me. Which I find even more amusing.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
So the Force doesn't protect you against COVID-19? [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 03:59, 25 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
What I got from this comic, after an initial laugh, was the realization that this has been going on long enough for something like this to develop into a hobby....[[Special:Contributions/172.69.170.120|172.69.170.120]] 04:21, 25 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
What's up with &amp;quot;Vader lives in that weird black egg thing&amp;quot;. What is the black egg thing? [[Special:Contributions/141.101.98.108|141.101.98.108]] 09:30, 25 March 2021 (UTC)&lt;br /&gt;
:A Hyperbaric oxygen chamber on his personal Star Destroyers. You see it in Empire Strikes Back when it opens up for a message. He can safely remove his mask there and breathe unassisted and meditate on the Dark Side or Padme. (~~The comment you have just read waa inserted, unsigned, by 162.158.166.55 several hours after the following answer.~~)&lt;br /&gt;
:A combination meditation-chamber, sterile disrobing room and medical support facility. It lets him periodically divest himself of the irritatingly confining but necessarily life-supporting suit components, get a degree of respite from its relentless enclosure, let him tinker with his various biomechanical replacement parts and take time out to think suitably dark thoughts about the Dark Side. [[Special:Contributions/141.101.98.6|141.101.98.6]] 11:28, 25 March 2021 (UTC) (PS: Oh look, almost the same IP!)&lt;br /&gt;
&lt;br /&gt;
== Does anyone know why this is incomplete? ==&lt;br /&gt;
&lt;br /&gt;
Without information, nobody knows which part needs fixing. If anyone knows why this is incomplete, please post the reason here. If nobody can provide a satisfactory answer, maybe we should consider removing the incomplete tag. '''Note that I am posting this exact same text on other comics of questionable incompleteness. It's not spamming, it's a conscious attempt to clean this category up.'''--[[User:Quillathe Siannodel|Quillathe Siannodel]] ([[User talk:Quillathe Siannodel|talk]]) 15:04, 25 March 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2441:_IMDb_Vaccines&amp;diff=208855</id>
		<title>Talk:2441: IMDb Vaccines</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2441:_IMDb_Vaccines&amp;diff=208855"/>
				<updated>2021-03-25T09:30:23Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
So the Force doesn't protect you against COVID-19? [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 03:59, 25 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
What I got from this comic, after an initial laugh, was the realization that this has been going on long enough for something like this to develop into a hobby....[[Special:Contributions/172.69.170.120|172.69.170.120]] 04:21, 25 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
What's up with &amp;quot;Vader lives in that weird black egg thing&amp;quot;. What is the black egg thing? [[Special:Contributions/141.101.98.108|141.101.98.108]] 09:30, 25 March 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2438:_Siri&amp;diff=208438</id>
		<title>2438: Siri</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2438:_Siri&amp;diff=208438"/>
				<updated>2021-03-18T16:12:07Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: /* Explanation */ ce&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2438&lt;br /&gt;
| date      = March 17, 2021&lt;br /&gt;
| title     = Siri&lt;br /&gt;
| image     = siri.png&lt;br /&gt;
| titletext = Alexa defeated her in a battle hinging on the ability to set multiple timers.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
{{incomplete|Created by BATTLE ALEXA. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
[[Science Girl]] thanks {{w|Siri}} on her smartphone for setting an alarm. In the next panel, she asks [[Cueball]], &amp;quot;Is Siri alive?&amp;quot;, since AI assistants can seem to be almost human on a very superficial level. Cueball answers &amp;quot;No,&amp;quot; since Siri is entirely software, and we don't generally attribute life to computer programs (the closest might be {{w|computer viruses}}, since they replicate).&lt;br /&gt;
&lt;br /&gt;
Science Girl then asks &amp;quot;How did she die?&amp;quot; She may have already been treating Siri as alive because she could talk to 'her,' and treats this lack-of-life as a new state of being. So rather than interpreting the answer in a philosophical sense of whether Siri is something that ever ''can'' be alive, which might normally have been presupposed, she treats it as meaning that Siri had (just) expired. This may require a credulous certainty of 'facts' taken literally - it is not clear what could then be understood if Siri were 'proven' to be alive and talking again, afterwards.&lt;br /&gt;
&lt;br /&gt;
Or perhaps she thinks that the software Siri is a software embodiment of an actual person (or possibly ghost of actual person), and Cueball was talking about the original person. We don't currently have the technology to {{tvtropes|BrainUploading|upload a person's personality into a computer}},{{Citation needed}} but {{w|Mind uploading in fiction|it's a popular science fiction trope}} and {{w|Mind Uploading|many scientists think we will eventually be able to do this}}.&lt;br /&gt;
&lt;br /&gt;
Another explanation could be that she associates everything into two categories, 'alive' and 'dead', without considering any intermediate or altogether separate categories, such as 'was never alive' or 'was programmed by people who are/were alive, but is not itself alive'. This false dichotomy causes Science Girl to misinterpret Cueball's answer of Siri not being alive as &amp;quot;Siri is dead.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
Finally, she could have actually been asking about the {{w|Susan Bennett|voice actress}} that recorded the base sounds for the synthesizer, perhaps thinking she recorded the full line rather than just base sounds for the software to synthesize. Assuming Science Girl left the default voice, the voice actress is very much alive, and Science Girl simply asked her question wrongly.&lt;br /&gt;
&lt;br /&gt;
The title text explains that, contrary to the above explanations, Siri actually died in a battle with [[wikipedia:Amazon Alexa|Alexa]], another personal assistant, hinging on their abilities to set multiple timers. Siri can set multiple timers, but this feature must be enabled via shortcuts. Alexa's ability to do so is much simpler and more user friendly. Of the many actions that these programs are able to perform, this is probably one of the more trivial, so it's not very comprehensible, at least to those not themselves living as digital assistants, that it would be the chosen method for a duel to the death. One possible explanation is that Alexa itself led the battle to that arena, where she knew she could win thanks to its superiority.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
{{incomplete transcript|Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
:[Science Girl is standing and holding a phone raised up to see its screen.]&lt;br /&gt;
:Phone: ''Your timer is set.''&lt;br /&gt;
:Science Girl: Thanks&lt;br /&gt;
&lt;br /&gt;
:[Science Girl is talking to Cueball, who is sitting at a desk using a laptop.]&lt;br /&gt;
:Science Girl: Is Siri ''alive?''&lt;br /&gt;
:Cueball: No.&lt;br /&gt;
&lt;br /&gt;
:[Science Girl is standing on her own again, her phone and arm down at her side.]&lt;br /&gt;
:Science Girl: Oh, ok.&lt;br /&gt;
&lt;br /&gt;
:[Science Girl is still standing on her own. She has raised her phone again.]&lt;br /&gt;
:Science Girl: How did she die?&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
[[Category:Comics featuring Cueball]]&lt;br /&gt;
[[Category:Comics featuring Science Girl]]&lt;br /&gt;
[[Category:Smartphones]]&lt;br /&gt;
[[Category:Virtual Assistants]]&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2436:_Circles&amp;diff=208118</id>
		<title>Talk:2436: Circles</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2436:_Circles&amp;diff=208118"/>
				<updated>2021-03-15T01:08:11Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
AS for the overlapping edits, it is because this just showed up in my RSS reader. I was surprised to see that there wasn't anything written yet. [[Special:Contributions/172.68.206.92|172.68.206.92]] 18:56, 12 March 2021 (UTC)&lt;br /&gt;
*If Randall was willing to realign the Audi logo, I think he could have stretched the model to accommodate Disney at the 3-ring slot! [[User:Jameslucas|jameslucas]] &amp;lt;small&amp;gt;([[User talk:Jameslucas|&amp;quot; &amp;quot;]] / [[Special:Contributions/Jameslucas|+]])&amp;lt;/small&amp;gt; 18:58, 12 March 2021 (UTC)&lt;br /&gt;
*Audi's logo has the four circles in a straight line, not staggered (&amp;amp;lt;/pedant&amp;amp;gt;) [[Special:Contributions/108.162.237.58|108.162.237.58]] 19:09, 12 March 2021 (UTC)&lt;br /&gt;
**If we are being pedantic it was originally the Auto Union logo and Audi was one of the four rings  - along with Horch, DKW and Wanderer. Augustus Horch founded Horch and Audi (horch means hark or listen so translates into Latin as Audi). [[Special:Contributions/141.101.98.6|141.101.98.6]] 18:42, 13 March 2021 (UTC) &lt;br /&gt;
**The same is true for MasterCard - the two circles are not staggered, but &amp;quot;in a straight line&amp;quot; (horizontal, that is) [[User:Mathmannix|Mathmannix]] ([[User talk:Mathmannix|talk]]) 20:15, 12 March 2021 (UTC)&lt;br /&gt;
***Well, being even more pedantic, two circles are always in a straight line, just not necessarily parallel to the reader...[[Special:Contributions/162.158.158.98|162.158.158.98]] 18:54, 14 March 2021 (UTC)&lt;br /&gt;
ER are shared by both halves of the MC logo.  Not AR.  Anyone have another explanation? &lt;br /&gt;
[[Special:Contributions/172.68.132.41|172.68.132.41]]&lt;br /&gt;
* I was thinking about this too! Maybe Randall made a mistake, or is it something unexplained? We'll have to wait for an explanation.&lt;br /&gt;
::(Why are we (y'all) bullet-indenting?) Though the circles of the &amp;quot;(MAST(ER)CARD)&amp;quot; might well co-share the &amp;quot;ER&amp;quot;, assuming that's correct, here the set {M A S T E R} and the set {C A R D} have clearly been put through an (unordered) set-union to highlight the {A R} that are not ''solely'' members of either original set. Don't know why that, in particular. Maybe it just worked better, and mixed things up better than the &amp;quot;(MAST(ER)CARD)&amp;quot; interpretation which doesn't really parody anything in the process... [[Special:Contributions/162.158.158.97|162.158.158.97]] 20:53, 12 March 2021 (UTC)&lt;br /&gt;
::Ok, just checked, and the word(s) &amp;quot;MASTERCARD&amp;quot; do(es) not appear on Mastercard logos any more, ''anyway'', having vanished/been relocated below the circles in various stages of cosmetic rebranding between 2006 and 2016. So &amp;quot;(ER)&amp;quot; enclosure wouldn't be strictly true for a number of years. [[Special:Contributions/162.158.158.97|162.158.158.97]] 21:00, 12 March 2021 (UTC)&lt;br /&gt;
My bad, I saw wrong. I thought it was between all the logos.[[User:Hiihaveanaccount|Hiihaveanaccount]] ([[User talk:Hiihaveanaccount|talk]]) 20:26, 12 March 2021 (UTC)&lt;br /&gt;
Oh no Randall, please don't turn me into an oversimplified logo! Noooooooo!&lt;br /&gt;
&lt;br /&gt;
Well, the AR completes both the MSTE and the CD (ie, MasteR CarD)... as I expect one of the previous commenters was getting at. Perhaps it is a riff on picture in as much as AR completes MASTERCARD just as MASTERCARD's circles Complete Audi's circles... [[Special:Contributions/162.158.75.41|162.158.75.41]] 05:03, 13 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
This bugs me more than any other xkcd comic, I could see the mastercard circles being tilted and still in a straight line, but then the Audi logo should be the same: straight line, but they line up to form the actual Olympic ring configuration giving preference to that logo... then there's the color, it would make me happy if the colors lined up with the actual Mastercard colors but they don't... so I don't know why I'm complaining here, probably because Randall doesn't have an actual comment system, so, sorry.... carry on with your day! [[Special:Contributions/162.158.75.40|162.158.75.40]] 15:11, 13 March 2021 (UTC) Sam&lt;br /&gt;
&lt;br /&gt;
Should the current Audi logo box be a totally empty square? Reloaded several times, there's nothing in there. The other boxes all have pictures in them. [[Special:Contributions/108.162.250.105|108.162.250.105]] 09:02, 14 March 2021 (UTC)&lt;br /&gt;
:Looks OK here. And ''should'' be far simpler SVG than the historic logo's shading/etc. But maybe it's slightly newer SVG doctype (would need to read its source, to be sure, and this browser has recently removed its original view-source: method so I'd have to switch machines) or inadvertently use a fancier dialect that your browser refuses to render. (If 'current logo' is not actually just five flat, black rings, then maybe ''my'' browser is lagging, too, but differently.&lt;br /&gt;
:...but then, do you have a 'dark' theme? Black rings on black (through transparency) background, thus apparently blank? A possibility, perhaps... [[Special:Contributions/141.101.99.207|141.101.99.207]] 17:37, 14 March 2021 (UTC)&lt;br /&gt;
:OK, have checked, and current logo is ''absurdly'' simple (in one 'element' it moves focus and draws four rings! in black!) while the prior logo's SVG actually failed to load (rendering in full-screen, the gradient-shaded components appear with much lag) for reasons not understood if it wasn't file-size issues (doubt it). I'm still leaning towards dark-theme confusion, then. If it aint that, I'm stumped. But its the only obvious thing to me right now, so I'll leave further resolution to when future details can be given. [[Special:Contributions/141.101.98.22|141.101.98.22]] 18:04, 14 March 2021 (UTC)&lt;br /&gt;
::I've seen the images fail to load occasionally (not just the Audi one; I think I saw the old mastercard logo do it too).  {{Purge|Purging}} the page cache fixed it for me.  I'm not entirely sure what causes it though. --[[User:Pokechu22|Pokechu22]] ([[User talk:Pokechu22|talk]]) 18:06, 14 March 2021 (UTC)&lt;br /&gt;
::I've never seen images (on-site, or those WikiCommons logos) fail to load. Except when the whole page failed to load, or the site .css failed to load and 'flavour' images (presumably) featured as a style element may have been absent due to this, as well as all the normal layout of elements. Interestingly the Current Audi has a handful of lines in its source, while I actually manually crashed my browser when I looked at the Old Audi one in source-mode ('original file', rather than the downsized one that the Gallery probably loads) and it got past thirty-eight ''thousand'' lines of polygon/etc with no close-SVG tag in sight. So much for vector-graphics for simplification and portability. (Mind you, it seemed to be auto-generated by a conversion utility. I could probably have hand-coded a near-identical output with actual intelligent thought put into optimising it.)&lt;br /&gt;
::That said 'web standards' is still a bit of an oxymoron at times, almost as much as it was during the era of &amp;quot;Netscape Unfriendly&amp;quot; pages, despite everything. [[Special:Contributions/141.101.98.108|141.101.98.108]] 01:08, 15 March 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2436:_Circles&amp;diff=208096</id>
		<title>Talk:2436: Circles</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2436:_Circles&amp;diff=208096"/>
				<updated>2021-03-14T17:38:17Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
AS for the overlapping edits, it is because this just showed up in my RSS reader. I was surprised to see that there wasn't anything written yet. [[Special:Contributions/172.68.206.92|172.68.206.92]] 18:56, 12 March 2021 (UTC)&lt;br /&gt;
*If Randall was willing to realign the Audi logo, I think he could have stretched the model to accommodate Disney at the 3-ring slot! [[User:Jameslucas|jameslucas]] &amp;lt;small&amp;gt;([[User talk:Jameslucas|&amp;quot; &amp;quot;]] / [[Special:Contributions/Jameslucas|+]])&amp;lt;/small&amp;gt; 18:58, 12 March 2021 (UTC)&lt;br /&gt;
*Audi's logo has the four circles in a straight line, not staggered (&amp;amp;lt;/pedant&amp;amp;gt;) [[Special:Contributions/108.162.237.58|108.162.237.58]] 19:09, 12 March 2021 (UTC)&lt;br /&gt;
**If we are being pedantic it was originally the Auto Union logo and Audi was one of the four rings  - along with Horch, DKW and Wanderer. Augustus Horch founded Horch and Audi (horch means hark or listen so translates into Latin as Audi). [[Special:Contributions/141.101.98.6|141.101.98.6]] 18:42, 13 March 2021 (UTC) &lt;br /&gt;
**The same is true for MasterCard - the two circles are not staggered, but &amp;quot;in a straight line&amp;quot; (horizontal, that is) [[User:Mathmannix|Mathmannix]] ([[User talk:Mathmannix|talk]]) 20:15, 12 March 2021 (UTC)&lt;br /&gt;
ER are shared by both halves of the MC logo.  Not AR.  Anyone have another explanation? &lt;br /&gt;
[[Special:Contributions/172.68.132.41|172.68.132.41]]&lt;br /&gt;
* I was thinking about this too! Maybe Randall made a mistake, or is it something unexplained? We'll have to wait for an explanation.&lt;br /&gt;
::(Why are we (y'all) bullet-indenting?) Though the circles of the &amp;quot;(MAST(ER)CARD)&amp;quot; might well co-share the &amp;quot;ER&amp;quot;, assuming that's correct, here the set {M A S T E R} and the set {C A R D} have clearly been put through an (unordered) set-union to highlight the {A R} that are not ''solely'' members of either original set. Don't know why that, in particular. Maybe it just worked better, and mixed things up better than the &amp;quot;(MAST(ER)CARD)&amp;quot; interpretation which doesn't really parody anything in the process... [[Special:Contributions/162.158.158.97|162.158.158.97]] 20:53, 12 March 2021 (UTC)&lt;br /&gt;
::Ok, just checked, and the word(s) &amp;quot;MASTERCARD&amp;quot; do(es) not appear on Mastercard logos any more, ''anyway'', having vanished/been relocated below the circles in various stages of cosmetic rebranding between 2006 and 2016. So &amp;quot;(ER)&amp;quot; enclosure wouldn't be strictly true for a number of years. [[Special:Contributions/162.158.158.97|162.158.158.97]] 21:00, 12 March 2021 (UTC)&lt;br /&gt;
My bad, I saw wrong. I thought it was between all the logos.[[User:Hiihaveanaccount|Hiihaveanaccount]] ([[User talk:Hiihaveanaccount|talk]]) 20:26, 12 March 2021 (UTC)&lt;br /&gt;
Oh no Randall, please don't turn me into an oversimplified logo! Noooooooo!&lt;br /&gt;
&lt;br /&gt;
Well, the AR completes both the MSTE and the CD (ie, MasteR CarD)... as I expect one of the previous commenters was getting at. Perhaps it is a riff on picture in as much as AR completes MASTERCARD just as MASTERCARD's circles Complete Audi's circles... [[Special:Contributions/162.158.75.41|162.158.75.41]] 05:03, 13 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
This bugs me more than any other xkcd comic, I could see the mastercard circles being tilted and still in a straight line, but then the Audi logo should be the same: straight line, but they line up to form the actual Olympic ring configuration giving preference to that logo... then there's the color, it would make me happy if the colors lined up with the actual Mastercard colors but they don't... so I don't know why I'm complaining here, probably because Randall doesn't have an actual comment system, so, sorry.... carry on with your day! [[Special:Contributions/162.158.75.40|162.158.75.40]] 15:11, 13 March 2021 (UTC) Sam&lt;br /&gt;
&lt;br /&gt;
Should the current Audi logo box be a totally empty square? Reloaded several times, there's nothing in there. The other boxes all have pictures in them. [[Special:Contributions/108.162.250.105|108.162.250.105]] 09:02, 14 March 2021 (UTC)&lt;br /&gt;
:Looks OK here. And ''should'' be far simpler SVG than the historic logo's shading/etc. But maybe it's slightly newer SVG doctype (would need to read its source, to be sure, and this browser has recently removed its original view-source: method so I'd have to switch machines) or inadvertently use a fancier dialect that your browser refuses to render. (If 'current logo' is not actually just five flat, black rings, then maybe ''my'' browser is lagging, too, but differently.&lt;br /&gt;
:...but then, do you have a 'dark' theme? Black rings on black (through transparency) background, thus apparently blank? A possibility, perhaps... [[Special:Contributions/141.101.99.207|141.101.99.207]] 17:37, 14 March 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2435:_Geothmetic_Meandian&amp;diff=207603</id>
		<title>2435: Geothmetic Meandian</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2435:_Geothmetic_Meandian&amp;diff=207603"/>
				<updated>2021-03-11T18:19:36Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: /* Explanation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2435&lt;br /&gt;
| date      = March 10, 2021&lt;br /&gt;
| title     = Geothmetic Meandian&lt;br /&gt;
| image     = geothmetic_meandian.png&lt;br /&gt;
| titletext = Pythagorean means are nice and all, but throwing the median in the pot is really what turns this into random forest statistics: applying every function you can think of, and then gradually dropping the ones that make the result worse.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
&lt;br /&gt;
There are a number of different ways to identify the '{{w|average}}' value of a series of values, the most common unweighted methods being the {{w|median}} (take the central value from the ordered list of values if there are an odd number - or the value half-way between the two that straddle the divide between two halves if there are an even number) and the {{w|arithmetic mean}} (add all the numbers up, divide by the number of numbers). The {{w|geometric mean}} is less well-known but works similarly to the arithmetic mean. To take the geometric mean of a n values, they are multiplied and the nth root is taken. It will be seen that for identical values this returns the single value, as would the arithmetic calculation, but it reacts differently to any perturbed values (you might also operate arithmetically upon logarithms, then exponate back again to obtain the result).&lt;br /&gt;
&lt;br /&gt;
The geometric mean, arithmetic mean and {{w|harmonic mean}} (not shown) are collectively known as the {{w|Pythagorean means}}, as specific modes of a greater and more generalised mean formula that extends arbitrarily to various other possible nuances of mean-value rationisations (cubic, etc).&lt;br /&gt;
&lt;br /&gt;
{{w|Outlier}}s and internal biases within the original sample can make boiling down a set of values into a single 'average' sometimes overly biased by flaws in the data, with your choice of which method to use perhaps resulting in a value that is misleading, exagerating or suppressing the significance of any blips.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Either here or after the next paragraph, demonstrate how (1,1,2,3,5) resolves in each individual method, perhaps? --&amp;gt;&lt;br /&gt;
&lt;br /&gt;
In this depiction, the three named methods of averaging are embedded within a single function that produces a sequence of three values - one output for each of the methods. Being a series of values, Randall suggests that this is ideally suited to being ''itself'' subjected to the comparative 'averaging' method. Not just once, but as many times as it takes to narrow down to a sequence of three values that are very close to one another.&lt;br /&gt;
&lt;br /&gt;
The comment in the title text about suggests that this will save you the trouble of committing to the 'wrong' analysis as it gradually shaves down any 'outlier average' that is unduly affected by anomalies in the original inputs. It is a method without any danger of divergence of values, since all three averaging methods stay within the interval covering the input values (and two of them will stay strictly within that interval).&lt;br /&gt;
&lt;br /&gt;
The title text may also be a sly reference to an actual mathematical theorem, namely that if one performs this procedure only using the arithmetic mean and the harmonic mean, the result will converge to the geometric mean. Randal suggests that the (non-Pythagorean) median, which does not have such good mathematical properties with relation to convergence, is, in fact, the secret sauce in his definition.&lt;br /&gt;
&lt;br /&gt;
There does exist an {{w|arithmetic-geometric mean}}, which is defined identically to this except with the arithmetic and geometric means, and sees some use in calculus.  In some ways it's also philosophically similar to the {{w|truncated mean}} (extremities of the value range, e.g. the highest and lowest 10%s, are ignored as not acceptable and not counted) or {{w|Winsorized mean}} (instead of ignored, the values are readjusted to be the chosen floor/ceiling values that they lie beyond, to still effectively be counted as 'edge' conditions), only with a strange dilution-and-compromise method rather than one where quantities can be culled or neutered just for being unexpectedly different from most of the other data.&lt;br /&gt;
&lt;br /&gt;
The following python code (inefficiently) implements the above algorithm:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
from functools import reduce&lt;br /&gt;
from itertools import count&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
def f(*args):&lt;br /&gt;
    args = sorted(args)&lt;br /&gt;
    mean = sum(args) / len(args)&lt;br /&gt;
    gmean = reduce(lambda x, y: x * y, args) ** (1 / len(args))&lt;br /&gt;
    if len(args) % 2:&lt;br /&gt;
        median = args[len(args) // 2]&lt;br /&gt;
    else:&lt;br /&gt;
        median = (args[len(args) // 2] + args[len(args) // 2 - 1]) / 2&lt;br /&gt;
    return mean, gmean, median&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
l0 = [1, 1, 2, 3, 5]&lt;br /&gt;
l = l0&lt;br /&gt;
for iterations in count():&lt;br /&gt;
    fst, *rest = l&lt;br /&gt;
    if all((abs(r - fst) &amp;lt; 0.00000001 for r in rest)):&lt;br /&gt;
        break&lt;br /&gt;
    l = f(*l)&lt;br /&gt;
print(l[0], iterations)&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
And here is an implementation of the Gmdn function in R:&lt;br /&gt;
&lt;br /&gt;
    Gmdn &amp;lt;- function (..., threshold = 1E-6) {&lt;br /&gt;
      # Function F(x) as defined in comic&lt;br /&gt;
      f &amp;lt;- function (x) {&lt;br /&gt;
        n &amp;lt;- length(x)&lt;br /&gt;
        return(c(mean(x), prod(x)^(1/n), median(x)))&lt;br /&gt;
      }&lt;br /&gt;
      # Extract input vector from ... argument&lt;br /&gt;
      x &amp;lt;- c(...)&lt;br /&gt;
      # Iterate until the standard deviation of f(x) reaches a threshold&lt;br /&gt;
      while (sd(x) &amp;gt; threshold) x &amp;lt;- f(x)&lt;br /&gt;
      # Return the mean of the final triplet&lt;br /&gt;
      return(mean(x))&lt;br /&gt;
    }&lt;br /&gt;
&lt;br /&gt;
The input sequence of numbers (1,1,2,3,5) chosen by Randall is also the opening of the {{w|Fibonacci sequence}}.  This may have been selected because the Fibonacci sequence also has a convergent property: the ratio of two adjacent numbers in the sequence approaches the [https://en.wikipedia.org/wiki/Golden_ratio#Relationship_to_Fibonacci_sequence golden ratio] as the length of the sequence approaches infinity.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
{{incomplete transcript|Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
F(x1,x2,...xn)=({x1+x2+...+xn/n [bracket: arithmetic mean]},{nx,x2...xn, [bracket: geometric mean]} {x n+1/2 [bracket: median]})&lt;br /&gt;
&lt;br /&gt;
Gmdn(x1,x2,...xn)={F(F(F(...F(x1,x2,...xn)...)))[bracket: geothmetic meandian]}&lt;br /&gt;
&lt;br /&gt;
Gmdn(1,1,2,3,5) [equals about sign] 2.089&lt;br /&gt;
&lt;br /&gt;
Caption: Stats tip: If you aren't sure whether to use the mean, median, or geometric mean, just calculate all three, then repeat until it converges&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
&amp;lt;!--&lt;br /&gt;
For a start, there is a syntax error. After the first application of F, you get a 3-tuple. Subsequent iterations preserve the 3-tuple, and we need to analyze the resulting sequence.&lt;br /&gt;
Perhaps there is an implicit claim all three entries converge to the same result. In any case, lets see what we get:&lt;br /&gt;
&lt;br /&gt;
Wlog, we have three inputs (x_1,y_1,z_1), and want to understand the iterates of the map &lt;br /&gt;
F(x,y,z) = ( (x+y+z)/3, cube root of (xyz), median(x,y,z) ). Lets write F(x_n,y_n,z_n) = (x_{n+1},y_{n+1},z_{n+1}).&lt;br /&gt;
&lt;br /&gt;
The inequality of arithmetic and geometric means gives x_n \geq y_n, if n \geq 2,  and&lt;br /&gt;
--&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Category:Math]]&lt;br /&gt;
[[Category:Statistics]]&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2435:_Geothmetic_Meandian&amp;diff=207580</id>
		<title>Talk:2435: Geothmetic Meandian</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2435:_Geothmetic_Meandian&amp;diff=207580"/>
				<updated>2021-03-11T15:50:21Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: /* Proof of convergence */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
Oh, this one's good. Just checked in (no, I wasn't hovering over the refresh button, my first visit today!) and one glance had me in paroxysms of laughter. But how to explain it? Gonna have to think about that. [[Special:Contributions/141.101.98.96|141.101.98.96]] 01:12, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
I made a really bad spreadsheet to understand better how it works: https://docs.google.com/spreadsheets/d/1fqmHwDmirJrsKPdf94PutFDw31DMAYxNeR7jef1jneE/edit?usp=sharing&lt;br /&gt;
&lt;br /&gt;
Someone fix my ''awful''  transcript edits please. --[[User:Char Latte49|Char Latte49]] ([[User talk:Char Latte49|talk]]) 02:31, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
Seeing the Python added to the Explanation, try this Perl (typed straight here, so not tested)... &lt;br /&gt;
 ## Your prefered variations of &amp;quot;#!/usr/bin/perl&amp;quot;, &amp;quot;use strict;&amp;quot; and &amp;quot;use warnings;&amp;quot; here! ##&lt;br /&gt;
 sub F { my (@vals)=@_; my $invVals=1/int(@vals);&lt;br /&gt;
  my ($geo,$arith,$med)=(1); # Only defining $geo, so first *= works correctly!&lt;br /&gt;
  while (@vals) { my($lo,$hi)=(shift @vals,pop @vals); # $hi may be undef - this is intended!&lt;br /&gt;
   $arith+=$lo; $geo*=$lo; unless (defined $hi) {  $med =  $lo;     last }&lt;br /&gt;
   $arith+=$hi; $geo*=$hi; unless (@vals)       { ($med)=F($lo,$hi)      }&lt;br /&gt;
  }&lt;br /&gt;
  return ($arith*$invVals, $geo**$invVals, $med);&lt;br /&gt;
 }&lt;br /&gt;
 sub GMDN { my (@vals)=sort @_; my $lim=10**(-5); # Adjust $lim to taste...&lt;br /&gt;
   return &amp;quot;Error: No vals!&amp;quot; unless  @vals; # Catch!&lt;br /&gt;
   return $vals[0]          unless ($vals[$#vals]-$vals[0]) &amp;gt; $lim;&lt;br /&gt;
   return GMDM(F(@vals));&lt;br /&gt;
 }&lt;br /&gt;
 my @test=(1,1,2,3,5);&lt;br /&gt;
 print &amp;quot;Values:              @test\nGeothmetic Meandian: &amp;quot;.GMDN(@test).&amp;quot;\n&amp;quot;;&lt;br /&gt;
...debugged in my head, so probably fatally flawed but easily fixed/adapted anyway. [[Special:Contributions/141.101.99.109|141.101.99.109]] 03:04, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
Why so complicated?&lt;br /&gt;
 perl -e 'use strict; use warnings; sub F { my ($s,$p) = (0,1); my @srt = sort {$a&amp;lt;=&amp;gt;$b} @_; for (@_) { $s += $_; $p *= $_; } return ($s/@_,$p**(1/@_),$srt[$#_/2]); } sub Gmdn { print join(&amp;quot;, &amp;quot;,@_=F(@_)),&amp;quot;\n&amp;quot; for 0..20; return @_; } print join(&amp;quot;, &amp;quot;,Gmdn(1,1,2,3,5)),&amp;quot;\n&amp;quot;;'&lt;br /&gt;
(With interim results) SCNR -- [[User:Xorg|Xorg]] ([[User talk:Xorg|talk]]) 03:18, 11 March 2021 (UTC)&lt;br /&gt;
:''I'' can read your version (and I see you do explicit {$a&amp;lt;=&amp;gt;$b}, which indeed ''may'' be necessary in mine for real use, along with additional sanity checks, I will check later) but I wanted to make mine neat, and ''slightly'' tricksy in implementation, but still not quite so entirely obfuscated to the more uninitiated. TIMTOWTDI, etc, so I like your (almost) bare-bones version too. ;)&lt;br /&gt;
:(Is 20 cycles enough to converge in sufficiently extreme cases? Won't give &amp;quot;Too deep&amp;quot; error, though, even  if it takes at least that long. There's a definite risk that mine might, as written.) [[Special:Contributions/141.101.99.229|141.101.99.229]] 03:45, 11 March 2021 (UTC)&lt;br /&gt;
::Given the lack of precision in Randall's example usage, I think 20 cycles ought to be enough for everyone ;-P. I'm trying to prove that the interval's size has to shrink by somewhat close to a factor of 1/2 every cycle, but it's tricky and it's late. If I can assume a factor of 1/2 in the long run, 64 iterations should pin down a 64-bit float.&lt;br /&gt;
::I actually didn't try to obfuscate, I was just too lazy to type more ;-). Otherwise I might have left out the &amp;quot;return&amp;quot;s and passing parameters at all. -- [[User:Xorg|Xorg]] ([[User talk:Xorg|talk]]) 04:21, 11 March 2021 (UTC)&lt;br /&gt;
:::I find the one-liner more readable: it's straightforward and pretty minimal. For what its worth, here's my version: &amp;lt;pre&amp;gt;perl -MList::Util=sum,product -E 'sub F { (sum @_)/@_, (product @_)**(1/@_), (sort { $a &amp;lt;=&amp;gt; $b } @_)[$#_/2] } $, = &amp;quot; &amp;quot;; say @v = @ARGV; say @v = F(@v) for 1..30' 1 1 2 3 5&amp;lt;/pre&amp;gt; 30 iterations is enough for the numbers to display identically on this system (to 14 decimal places). I think it's even cleaner in Raku (formerly Perl 6): &amp;lt;pre&amp;gt;raku -e 'sub F(@d) { @d.sum/@d, [*](@d)**(1/@d), @d.sort[@d/2] }; say my @v = +«@*ARGS; say @v = F(@v) for 1..33' 1 1 2 3 5&amp;lt;/pre&amp;gt; On this system, Rakudo yields an additional decimal place, which takes another 3 iterations to converge.  [[User:Smylers|Smylers]] ([[User talk:Smylers|talk]]) 06:53, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
Side-thought: is GMDN (nowhere near as logical an ETLA contraction of the title term as, say, 'GMMD' or 'GTMD') actually an oblique reference to the GNDNs as popularised/coined by Trek canon? Worth a citation/Trivia? [[Special:Contributions/162.158.158.97|162.158.158.97]] 04:12, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
Besides of nerdgasm is there some reason why the program code is relevant for the explanation? [[User:Elektrizikekswerk|Elektrizikekswerk]] ([[User talk:Elektrizikekswerk|talk]]) 08:55, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
== Proof of convergence ==&lt;br /&gt;
&lt;br /&gt;
Can any of you come up with a mathematical proof that repeated application of F on a set of (say) positive real numbers is guaranteed to converge toward a single real number, i.e. that the GMDN of a set of positive real numbers is well-defined? &lt;br /&gt;
&lt;br /&gt;
One observation I've made is that if you consider that maximum and minimum numbers in the original set to be x1 and xn (without loss of generality), something we know for sure is that AM(x1, ..., xn), GM(x1, ..., xn) and Median(x1, ..., xn) are all at least x1 and at most xn that is to say...&lt;br /&gt;
&lt;br /&gt;
x1 &amp;lt;= AM(x1, ..., xn), GM(x1, ..., xn), Median(x1, ..., xn) &amp;lt;= xn&lt;br /&gt;
&lt;br /&gt;
So range(AM(x1, ..., xn), GM(x1, ..., xn), Median(x1, ..., xn)) is necessarily &amp;lt;= range(x1, ..., xn). &lt;br /&gt;
&lt;br /&gt;
And given that we know that unless x1, ..., xn are all equal, that x1 &amp;lt; AM(x1, ..., xn) &amp;lt; xn, we have an even stricter result (unless x1, ..., xn are all equal) that is &lt;br /&gt;
range(AM(x1, ..., xn), GM(x1, ..., xn), Median(x1, ..., xn)) &amp;lt; range(x1, ..., xn). &lt;br /&gt;
&lt;br /&gt;
So, it's clear that range(x1, ..., xn) &amp;gt; range(F(x1, ..., xn)) &amp;gt; range(F(F(x1, ..., xn))) &amp;gt; range(F(F(F(x1, ..., xn)))) &amp;gt; ... and it's also clear that all of these ranges are &amp;gt;= 0. There is a result in number theory that says that any infinite sequence of real numbers which monotonically decreases and is bounded from below converges.&lt;br /&gt;
&lt;br /&gt;
So we know for sure that range(F(F(...F(x1, ..., xn)...))) converges but we still have to show that it converges to 0 to show that the GMDN converges to a single real number.&lt;br /&gt;
&lt;br /&gt;
I'm not sure how to proceed. Does anyone have any ideas?&lt;br /&gt;
&lt;br /&gt;
EDIT:&lt;br /&gt;
I just noticed that unless x1, ..., xn are all equal, AM(x1, ..., xn) is at least ((n-1)/n) * range(x1, ..., xn) away from both x1 and xn. So not only do we have that range(x1, ..., xn) &amp;gt; range(F(x1, ..., xn)) from before, but we also have that ((n-1)/n) * range(x1, ..., xn) &amp;gt;= range(F(x1, ..., xn)). This guarantees that that the range falls exponentially on repeated applications of F. So it's certain that the the range ultimately converges to 0, and hence that the GMDN is well-defined.&lt;br /&gt;
&lt;br /&gt;
It might be a good idea for someone to concretely present this idea as a proof on Page.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Special:Contributions/172.69.135.44|172.69.135.44]] 05:07, 11 March 2021 (UTC) Anirudh Ajith&lt;br /&gt;
&lt;br /&gt;
:That doesn't quite work as it stands, since proving AM is that distance away does not say anything about the other two averages. I think it's true, but a little more rigour is required. [[Special:Contributions/141.101.98.120|141.101.98.120]] 09:17, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
When trying this myself I first arrived at 2.082, not 2.089. What threw me off was the incomplete formula for the median, which only works with sorted lists. The three values returned by F(...) aren't necessarily sorted.&lt;br /&gt;
[[Special:Contributions/141.101.76.194|141.101.76.194]] 09:49, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Better Python implementations ==&lt;br /&gt;
&lt;br /&gt;
I'd like to add a somewhat more compact Python implementation based on the numpy module.&lt;br /&gt;
 import numpy as np&lt;br /&gt;
 &lt;br /&gt;
 def F(x):&lt;br /&gt;
    return np.mean(x), np.exp(np.log(x).mean()), np.median(x)&lt;br /&gt;
 &lt;br /&gt;
 def GMDN(x, tolerance=1e-6):&lt;br /&gt;
    while np.std(x) &amp;gt; tolerance:&lt;br /&gt;
        x = F(x)&lt;br /&gt;
    return x[0]&lt;br /&gt;
 &lt;br /&gt;
 gmdn = GMDN([1, 1, 2, 3, 5])&lt;br /&gt;
 print(gmdn)&lt;br /&gt;
--[[User:Lvdgraaff|Lvdgraaff]] ([[User talk:Lvdgraaff|talk]]) 10:42, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
No need for numpy, there's the statistics module in the stdlib&lt;br /&gt;
&lt;br /&gt;
 import math&lt;br /&gt;
 import statistics&lt;br /&gt;
 &lt;br /&gt;
 def F(*nums):&lt;br /&gt;
     return (&lt;br /&gt;
         statistics.mean(nums),&lt;br /&gt;
         statistics.geometric_mean(nums),&lt;br /&gt;
         statistics.median(nums),&lt;br /&gt;
     )&lt;br /&gt;
 &lt;br /&gt;
 def GMDN(*nums):&lt;br /&gt;
     while not math.isclose(max(nums), min(nums)):&lt;br /&gt;
         nums = F(*nums)&lt;br /&gt;
     return nums[0]&lt;br /&gt;
 &lt;br /&gt;
 gmdn = GMDN(1, 1, 2, 3, 5)&lt;br /&gt;
 print(gmdn)&lt;br /&gt;
&lt;br /&gt;
== Sloppy notation? ==&lt;br /&gt;
&lt;br /&gt;
As a mathematician, I immediately noticed a couple of annoying niggles. Firstly, it is only implied, but never clearly stated, that the input list is ordered - which means the median is wrong unless ordered. Now F outputs an ordered triple of real numbers, and in calculating G, this is fed in to F again directly. This will frequently give inputs that are not in order, and in subsequent iterations the &amp;quot;median&amp;quot; will always be the middle number - i.e. the geometric mean - regardless of the actual median. Secondly, Randall's final line gives the output of G as a single number, but as it is just the result of a repeated application of F, the output of G should be an ordered triple. I'm sure Randall is aware of both, and chose to cut out the implied ordering of the inputs and choosing one of the three values as the output of G as they aren't necessary for the joke, but maybe we should note something about this in the explanation.[[Special:Contributions/141.101.99.109|141.101.99.109]] 13:07, 11 March 2021 (UTC)&lt;br /&gt;
:First, I've never seen a definition of median which doesn't account for ordering itself, although I am a little annoyed at his definition for a different reason— that it doesn't account for even-length lists. Second, what I got from the comic initially is that G&amp;lt;sub&amp;gt;MDN&amp;lt;/sub&amp;gt; is supposed to be a single number, specifically that value for which all three of its elements would become equal if implemented infinitely many times (and it ''will'' converge, because if the three elements are all the same it already has converged, and if at least two are different, both means will necessarily become greater than the least value and smaller than the greatest value due to the definition of 'mean'). Another annoyance I noted is that G&amp;lt;sub&amp;gt;MDN&amp;lt;/sub&amp;gt; is real iff there are an even number of negative numbers and/or the length of the initial list is odd, but I suppose that can't be helped. Ooh, complex meandianing! [[User:BlackHat|BlackHat]] ([[User talk:BlackHat|talk]]) 15:15, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
== Is the arithmetic-geometric mean connected to geometry? ==&lt;br /&gt;
&lt;br /&gt;
In the case that only the arithmetic and geometric mean are used the combined arithmetic-geometric mean can be interpreted as the radius R of a circle which has the same circumference as an ellipse with half axes a and b. &lt;br /&gt;
&lt;br /&gt;
R = M(a,b)&lt;br /&gt;
&lt;br /&gt;
Can the Geothmetic Meandian be interpreted are the radius R of a 3D sphere which has the same surface as an elliptic cylinder with half-axes a and b and length c ?&lt;br /&gt;
&lt;br /&gt;
R = GMDN(a,b,c)&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2435:_Geothmetic_Meandian&amp;diff=207496</id>
		<title>Talk:2435: Geothmetic Meandian</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2435:_Geothmetic_Meandian&amp;diff=207496"/>
				<updated>2021-03-11T03:10:34Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: Some self-edits, including correcting a big error, making a change to an error-catch and shifting a sort to reduce reuse.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
Oh, this one's good. Just checked in (no, I wasn't hovering over the refresh button, my first visit today!) and one glance had me in paroxysms of laughter. But how to explain it? Gonna have to think about that. [[Special:Contributions/141.101.98.96|141.101.98.96]] 01:12, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
I made a really bad spreadsheet to understand better how it works: https://docs.google.com/spreadsheets/d/1fqmHwDmirJrsKPdf94PutFDw31DMAYxNeR7jef1jneE/edit?usp=sharing&lt;br /&gt;
&lt;br /&gt;
Someone fix my ''awful''  transcript edits please. --[[User:Char Latte49|Char Latte49]] ([[User talk:Char Latte49|talk]]) 02:31, 11 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
Seeing the Python added to the Explanation, try this Perl (typed straight here, so not tested)... &lt;br /&gt;
 ## Your prefered variations of &amp;quot;#!/usr/bin/perl&amp;quot;, &amp;quot;use strict;&amp;quot; and &amp;quot;use warnings;&amp;quot; here! ##&lt;br /&gt;
 sub F { my (@vals)=@_; my $nVals=int(@vals);&lt;br /&gt;
  my ($arith,$geo,$med);&lt;br /&gt;
  while (@vals) { my($lo,$hi)=(shift @vals,pop @vals); # $hi may be undef - this is intended!&lt;br /&gt;
   $arith+=$lo; $geo*=$lo; unless (defined $hi) {  $med =  $lo;     last }&lt;br /&gt;
   $arith+=$hi; $geo*=$hi; unless (@vals)       { ($med)=F($lo,$hi)      }&lt;br /&gt;
  }&lt;br /&gt;
  return ($arith/$nVals, $geo**(1/$nVals), $med);&lt;br /&gt;
 }&lt;br /&gt;
 sub GMDN { my (@vals)=sort @_; my $lim=10**(-5); # Adjust $lim to taste...&lt;br /&gt;
   return &amp;quot;Error: No vals!&amp;quot; unless  @vals; # Catch!&lt;br /&gt;
   return $vals[0]          unless ($vals[$#vals]-$vals[0]) &amp;gt; $lim;&lt;br /&gt;
   return GMDM(sort F(@vals));&lt;br /&gt;
 }&lt;br /&gt;
 my @test=(1,1,2,3,5);&lt;br /&gt;
 print &amp;quot;Values:              @test\nGeothmetic Meandian: &amp;quot;.GMDN(@test).&amp;quot;\n&amp;quot;;&lt;br /&gt;
...debugged in my head, so probably fatally flawed but easily fixed/adapted anyway. [[Special:Contributions/141.101.99.109|141.101.99.109]] 03:04, 11 March 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=761:_DFS&amp;diff=121414</id>
		<title>761: DFS</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=761:_DFS&amp;diff=121414"/>
				<updated>2016-06-04T16:48:23Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: /* Explanation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 761&lt;br /&gt;
| date      = July 2, 2010&lt;br /&gt;
| title     = DFS&lt;br /&gt;
| image     = dfs.png&lt;br /&gt;
| titletext = A breadth-first search makes a lot of sense for dating in general, actually; it suggests dating a bunch of people casually before getting serious, rather than having a series of five-year relationships one after the other.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
In this comic [[Hairy]] is preparing for his date with [[Ponytail]], and has just finished with a shower, as seen from the fact that he is wearing a towel around his waist. (Ironically this makes him more &amp;quot;dressed&amp;quot;, than at any other time). Ponytail is even-more-ironically wearing nothing at all.&lt;br /&gt;
&lt;br /&gt;
He is also preparing mentally by thinking about which [[#Situations|situations]] he might encounter during the date. Since he cannot know for sure he is performing a &amp;quot;blind search&amp;quot; in his head. When doing a blind search in computing, there are two main tactics - {{w|depth-first search}} (DFS), and {{w|breadth-first search}} (BFS). &lt;br /&gt;
&lt;br /&gt;
Hairy uses the '''DFS''' technique, as indicated in the comic title, which means going as far as you possibly can down one path before looking at other possibilities. This turns out to be a bad idea, as Hairy's searches takes him out of a tangent. Instead of preparing for his date, Hairy instead spent the whole time [[#Snake venom|doing research]] on {{w|snake venom}}, to the exclusion of even getting dressed in time for the arrival of his date. The way the last panel is the only panel and at the far right in the second row vs. four panels in the top row, indicates all the time he has used on DFS. And although he may realize his mistake, throwing up his arms, he has to tell [[Ponytail]] the fact he has found out that the {{w|inland taipan}}'s has the deadliest venom of any snake (see [[#Snake venom|more]] below).&lt;br /&gt;
&lt;br /&gt;
By contrast, a breadth-first search will look only minimally into a topic before moving on to another; any new depth exposed by this minimal check will be added to a list of stuff to do later. This would have allowed Hairy to briefly check many more things within the time allotted, and probably still have been able to get dressed.&lt;br /&gt;
&lt;br /&gt;
The relationship advice given in the title text on using breadth-first search may not be meant too seriously. However, one might be more sure about what kind of person one is looking for after already having dated a few people. But then the right one, might have slipped by. It is by no means certain that you can return to one of the first persons you dated after having dated another dozen. &lt;br /&gt;
&lt;br /&gt;
It is, however, not very useful, if you wish to have a stable family life, to &amp;quot;only&amp;quot; be with a person for five years. So DFS is for sure a bad way to find out who you wish to spend you life with. One might conclude that blind search is not a good way to find your significant other. But for most people, there is no other way to search.&lt;br /&gt;
&lt;br /&gt;
Hairy also has a situation where he goes out of a tangent in [[1518: Typical Morning Routine]].&lt;br /&gt;
&lt;br /&gt;
==Situations==&lt;br /&gt;
Hairy begins to think of several situations to prepares for.&lt;br /&gt;
&lt;br /&gt;
===First step===&lt;br /&gt;
In the first panel there are four situations:&lt;br /&gt;
#Medical emergency &lt;br /&gt;
##This is the situation he continues with in the second step.&lt;br /&gt;
#Dancing&lt;br /&gt;
##He probably doesn't think he is good enough at dancing, or simply do not like it.&lt;br /&gt;
##It could also be because he is uncertain what she expects, of if she wishes to dance with him at all.&lt;br /&gt;
#Food too expensive &lt;br /&gt;
##It probably means that he is expected to pay (at least for himself, but probably also for his date)&lt;br /&gt;
##This is a simple problem, if he does his search first. He just have to choose a restaurant he can afford.&lt;br /&gt;
#Bee eating contest (?)&lt;br /&gt;
##This situation is cut off, so it is hard to be certain what it says. &lt;br /&gt;
##The above is the best guess so far. &lt;br /&gt;
##It could be a joke on {{w|Spelling bee}} contests and &amp;quot;normal&amp;quot; {{w|Competitive eating|eating contest}}.&lt;br /&gt;
&lt;br /&gt;
===Second step===&lt;br /&gt;
In the second panel there are also four situations continuing the first option from the first panel:&lt;br /&gt;
#Medical emergency &lt;br /&gt;
##Snakebite  &lt;br /&gt;
###This is the situation he continues with in the third step.&lt;br /&gt;
##{{w|Lightning strike}}&lt;br /&gt;
###Very unlikely event to happen on any given date.&lt;br /&gt;
##Fall from chair  &lt;br /&gt;
###This could happen, especially if he is clumsy when holding the chair for her...&lt;br /&gt;
##Tracheal bowing (?)&lt;br /&gt;
###This situation is cut off very much. The above is just a good guess.&lt;br /&gt;
&lt;br /&gt;
===Third step===&lt;br /&gt;
In the third panel there are four types of snakes with questions marks as to whether they are dangerous. This is a continuation of the first option from the second panel:&lt;br /&gt;
#Medical emergency &lt;br /&gt;
##Snakebite&lt;br /&gt;
###Corn snake&lt;br /&gt;
###Garter snake&lt;br /&gt;
###Copperhead&lt;br /&gt;
###Coral snake (?)&lt;br /&gt;
####This situation is cut off very much. The above is just a good guess.&lt;br /&gt;
&lt;br /&gt;
This third step takes him to his computer in the fourth panel where he does lots of research on [[#Snake venom|snake venom]].&lt;br /&gt;
&lt;br /&gt;
===Snake venom===&lt;br /&gt;
{{w|Median lethal dose|LD&amp;lt;sub&amp;gt;50&amp;lt;/sub&amp;gt;}}, or median lethal dose, is the dose of a toxin required to kill 50% of the population studied, usually expressed in milligrams of toxin per kilogram of body mass, and most often for {{w|rats}} or another type of {{w|guinea pig}}.&lt;br /&gt;
&lt;br /&gt;
The {{w|inland taipan}}'s venom does, indeed, have the lowest median lethal dose among snake venoms. (Fortunately, it is extremely shy in temperament, and will always escape danger rather than bite if it can, which is why it isn't considered to be a particularly dangerous snake.) &lt;br /&gt;
&lt;br /&gt;
Incidentally, {{w|Corn snake|corn snakes}} and {{w|garter snakes}} are not even remotely dangerous to humans (in fact they're the most popular pet snakes), and of the four different species commonly known as &amp;quot;{{w|agkistrodon|copperheads}},&amp;quot; the only dangerously venomous one is ''{{w|deinagkistrodon acutus}}'' or sharp-nosed viper that only lives in Southeast Asia. In the US the snake going by the name of ''copperhead'' is the {{w|agkistrodon contortrix}}. &lt;br /&gt;
&lt;br /&gt;
The item that is almost entirely cut off by the thought bubble seems to be &amp;quot;{{w|coral snake}};&amp;quot; coral snakes are in a similar position as the inland taipan: extremely venomous, but also extremely reclusive.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
:[In a frame that breaks the top of the first panels frame:]&lt;br /&gt;
:Preparing for a date:&lt;br /&gt;
&lt;br /&gt;
:[Hairy with wet hair and a towel around his waist thinks with his hand to his chin. There are four situations, but it is not possible to read the fourth line.]&lt;br /&gt;
:Hairy: What situations might I prepare for?&lt;br /&gt;
::1) Medical emergency&lt;br /&gt;
::2) Dancing&lt;br /&gt;
::3) Food too expensive&lt;br /&gt;
&lt;br /&gt;
:[Close-up on Hairy's face, who is still thinking.  There are again four situations, but again it is not possible to read the fourth line.]&lt;br /&gt;
:Hairy: Okay, what kind of emergencies can happen?&lt;br /&gt;
::1)   A) Snakebite&lt;br /&gt;
::: B) Lightning strike&lt;br /&gt;
::: C) Fall from chair&lt;br /&gt;
&lt;br /&gt;
:[Zoooming out again to full figure of Hairy. He is still thinking... There are four snakes, but again it is not possible to read the fourth line. The word Danger stands beneath the three dots above the &amp;quot;?&amp;quot; after each snake.]&lt;br /&gt;
:Hairy: Hmm. Which snakes are dangerous? Let's see...&lt;br /&gt;
:::::::Danger&lt;br /&gt;
::1)A)a) Corn snake ?&lt;br /&gt;
::: b) Garter snake ?&lt;br /&gt;
::: c) Copperhead ?&lt;br /&gt;
&lt;br /&gt;
:[Hairy is sitting down in a chair with a laptop in his lap, while still wearing the towel.]&lt;br /&gt;
:Hairy: The research comparing snake venoms is scattered and inconsistent. I'll make a spreadsheet to organize it.&lt;br /&gt;
&lt;br /&gt;
:[Bottom panel is larger than top four, and aligned to right. Ponytail meets Hairy on his front stoop. She is carrying a purse, and looks down at the towel he is still wearing. Hairy holds his arms in the air.]&lt;br /&gt;
:Ponytail: I'm here to pick you up. You're not dressed?&lt;br /&gt;
:Hairy: By LD&amp;lt;sub&amp;gt;50&amp;lt;/sub&amp;gt;, the inland taipan has the deadliest venom of &amp;lt;u&amp;gt;any&amp;lt;/u&amp;gt; snake!&lt;br /&gt;
&lt;br /&gt;
:[Below this last panel are the following caption:]&lt;br /&gt;
:'''I really need to stop using depth-first searches.'''&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
[[Category:Comics featuring Hairy]]&lt;br /&gt;
[[Category:Comics featuring Ponytail]]&lt;br /&gt;
[[Category:Romance]]&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:730:_Circuit_Diagram&amp;diff=119521</id>
		<title>Talk:730: Circuit Diagram</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:730:_Circuit_Diagram&amp;diff=119521"/>
				<updated>2016-05-09T12:31:49Z</updated>
		
		<summary type="html">&lt;p&gt;141.101.98.108: &lt;/p&gt;
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&lt;div&gt;So, is the arena a new kind of comparator or something? '''[[User:Davidy22|&amp;lt;span title=&amp;quot;I want you.&amp;quot;&amp;gt;&amp;lt;u&amp;gt;&amp;lt;font color=&amp;quot;purple&amp;quot; size=&amp;quot;2px&amp;quot;&amp;gt;David&amp;lt;/font&amp;gt;&amp;lt;font color=&amp;quot;green&amp;quot; size=&amp;quot;3px&amp;quot;&amp;gt;y&amp;lt;/font&amp;gt;&amp;lt;/u&amp;gt;&amp;lt;sup&amp;gt;&amp;lt;font color=&amp;quot;indigo&amp;quot; size=&amp;quot;1px&amp;quot;&amp;gt;22&amp;lt;/font&amp;gt;&amp;lt;/sup&amp;gt;&amp;lt;/span&amp;gt;]]'''[[User talk:Davidy22|&amp;lt;tt&amp;gt;[talk]&amp;lt;/tt&amp;gt;]] 13:28, 18 February 2013 (UTC)&lt;br /&gt;
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11:13, 10 April 2013 (UTC)11:13, 10 April 2013 (UTC)[[User:Jh6p|Jh6p]] ([[User talk:Jh6p|talk]])&lt;br /&gt;
The 3 liter capacitor could also be a ball approximately 6 inches in diameter if the seams on the ball were similar to the seams on a basketball. Perhaps a volleyball?&lt;br /&gt;
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: &amp;quot;A squirrel. What it does as a circuit element is unsure.&amp;quot;&lt;br /&gt;
Perhaps an allusion to a {{w|Squirrel-cage rotor|squirrel cage}}?&lt;br /&gt;
[[User:Wwoods|Wwoods]] ([[User talk:Wwoods|talk]]) 18:51, 22 April 2013 (UTC)&lt;br /&gt;
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: The shape of the squirrel's tail reminds me of a {{w|hysteresis}} curve, although this is admittedly a bit of a stretch. —[[User:Scs|Scs]] ([[User talk:Scs|talk]]) 16:02, 17 November 2013 (UTC)&lt;br /&gt;
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The 'to scale' motor would be about half a mile wide. Powering the rabbit on Gaia's vibrator (also included)? --[[User:StarChaser Tyger|StarChaser Tyger]] ([[User talk:StarChaser Tyger|talk]]) 08:40, 22 June 2013 (UTC)&lt;br /&gt;
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I beg to differ on the flux capacitor thing, as cool as it sounds.  Since it is right above the I-90 notation, it is more likely a fork in the road (notice the road stripes indicating that you can pass at any point in the fork). [[Special:Contributions/97.87.12.114|97.87.12.114]] 02:15, 24 June 2013 (UTC)&lt;br /&gt;
: Oh, I'm pretty sure it's a flux capacitor.  Compare some of [http://www.google.com/search?q=flux+capacitor&amp;amp;tbm=isch these images].  Yes, there are several road references in this comic, but an electronic reference (especially to a ''fictional'' electronic component!) makes more sense. Also I've never seen a Y-shaped highway intersection that looked quite like that (and especially not on an interstate). —[[User:Scs|Scs]] ([[User talk:Scs|talk]]) 14:52, 17 November 2013 (UTC)&lt;br /&gt;
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I have wasted 4 hours on the puzzle, and after wasting 9 pages of A5 paper, the resistance of that terrible resistor mess worked out to be exactly 25265/33783 ohm, or about 0.74786135 ohm.  --KopaLeo [[Special:Contributions/199.48.226.89|199.48.226.89]] 15:16, 27 June 2013 (UTC)&lt;br /&gt;
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I think that the &amp;quot;fishing float&amp;quot; might actually be a picture of an ordinary push switch (similar to foot switches used on standard lamps). [[Special:Contributions/87.194.171.29|87.194.171.29]] 16:12, 10 July 2013 (UTC)&lt;br /&gt;
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Isn't the &amp;quot;YES&amp;quot; resistor a reference to the anecdote of how John Lennon and Yoko Ono met? That's what I thought when I saw it, but then, I kinda like The Beatles a bit. [[Special:Contributions/200.70.22.74|200.70.22.74]] 12:27, 16 September 2013 (UTC)&lt;br /&gt;
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I think the attempt to explain every single piece of the comic is rather silly. The humor largely draws from the absurdity of the diagram, and that can probably be summarized without going into detail about the possible references of each individual component. [[Special:Contributions/199.27.130.180|199.27.130.180]] 03:22, 26 November 2013 (UTC)&lt;br /&gt;
: I disagree. The joke works on multiple levels, both the absurdity of the circuit, and the smaller parts of which it is comprised. [[User:Hydroksyde|Hydroksyde]] ([[User talk:Hydroksyde|talk]]) 02:40, 21 April 2014 (UTC)&lt;br /&gt;
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I concur with KopaLeo - I got the same answer for the resistance of the grid of resistors - about 0.748 when rounded. What a problem!&lt;br /&gt;
--techdude&lt;br /&gt;
[[Special:Contributions/108.162.215.65|108.162.215.65]] 20:45, 1 January 2014 (UTC)&lt;br /&gt;
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I feel like I should point out that putting a ground connection in holy water probably creates {{w|Holy Ground}} [[Special:Contributions/108.162.212.197|108.162.212.197]] 11:36, 26 March 2014 (UTC)&lt;br /&gt;
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To center of Sun could possibly be another map reference. [[Special:Contributions/108.162.250.202|108.162.250.202]] 01:08, 19 November 2014 (UTC)&lt;br /&gt;
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The 'moral rectifier' seems like it's built of diodes which prevent current flow to the left, which might mean it's making the current 'more right'? with right being a synonym for moral?&lt;br /&gt;
[[Special:Contributions/108.162.212.18|108.162.212.18]] 00:15, 17 December 2014 (UTC)&lt;br /&gt;
&lt;br /&gt;
;3L capacitor&lt;br /&gt;
&lt;br /&gt;
The capacitor reminded me of a time I asked my dad why desktop PCs (the kind we could afford at the time were 200-500 W) couldn't have capacitors to protect them from 1-second or shorter power interruptions without the cost of a UPS. He said such a capacitor would have to be as wide and tall as a 2L pop bottle. (He didn't say how much it would weigh.) [[User:Promethean|Promethean]] ([[User talk:Promethean|talk]]) 04:38, 9 September 2014 (UTC)&lt;br /&gt;
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Where did the claim that the EKG is atrial fibrillation come from?  At best it it hard to tell without a time scale what the ventricular rate is, but there is no evidence of extra P waves between QRS complexes that I see.  If the diagnosis is made based on the absence of P &amp;amp; T waves, keep in mind that some recording conditions make those (especially T) hard to see.  In an {{w|Einthoven's triangle}} arrangement, they might not show up at all above the noise.  If we had a time scale that let us calculate ventricular rate, we might be able to conclude {{w|supraventricular tachycardia}}, but I'm hesitant to make a strong claim that this is abnormal at all given that it's hand drawn and we have no scale.[[User:Djbrasier|Djbrasier]] ([[User talk:Djbrasier|talk]]) 21:07, 22 January 2015 (UTC)&lt;br /&gt;
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Does this really belong in Category:Charts? I'm moving it to Category:Maps instead. [[User:gijobarts|gijobarts]] ([[User Talk:gijobarts|talk]]) 21:38, 19 February 2015 (UTC)&lt;br /&gt;
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Are we really explaining &amp;quot;vibrator&amp;quot; as &amp;quot;a motor with an off-center weight attached to it&amp;quot;? [[Special:Contributions/141.101.91.97|141.101.91.97]] 06:51, 13 March 2015 (UTC)&lt;br /&gt;
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I just spent 3 hours trying to work out the resistor nest.  I was unsuccessful. [[User:Mikemk|Mikemk]] ([[User talk:Mikemk|talk]]) 05:32, 19 March 2015 (UTC)&lt;br /&gt;
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I did an LTSpice simulation or the resistor mess.  It looks like the 25265/33783 ohm answer above is correct.  It drew 1.3371463 amps from a one volt source. {{unsigned ip|108.162.215.133}}&lt;br /&gt;
&lt;br /&gt;
Based on Randall's promotion of international standards (such as ISO 8601), it seems odd that he's using the US zigzag symbol for a resistor, rather than the IEC rectangular one. [[User:Walale12|Walale12]] ([[User talk:Walale12|talk]]) 21:37, 17 April 2015 (UTC)&lt;br /&gt;
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Looking at the label &amp;quot;Tear Collector&amp;quot; I think it refers to the heartbeat below it, not the symbol above, suggesting that a heart (or heart break) is a likely source of tears. {{unsigned ip|108.162.216.44}}&lt;br /&gt;
&lt;br /&gt;
I'm not sure why the rat's nest of resistors is considered such a difficult problem.  I would like to respectfully point out that by far the easiest way to solve it is by assuming a constant current through the network.  You can then assign a name to each of the nodes, set one of the end nodes to 0V, and solve by KCL.  Granted, there are 13 unknowns and 14 equations, but it still took less than 30 minutes to complete since they are all 1st order! archerator [[User:Archerator|Archerator]] ([[User talk:Archerator|talk]]) 04:57, 30 August 2015 (UTC)&lt;br /&gt;
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120×72 @ 537,847: the coil symbol next to &amp;quot;Take off shirt while wiring this part. Ooh, yeah, I like that.&amp;quot; is similar in appearance to chest hair in stylized comic strips. [[User:Thaledison|Thaledison]] ([[User talk:Thaledison|talk]]) 17:19, 5 October 2015 (UTC)&lt;br /&gt;
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144×177 @ 31,753 - Could the rats next of 1 Ohm resister be a reference the the sign that Blackhat holds up in: https://xkcd.com/356/ as you can't show an infinite numbers of 1 ohm resistors in the diagram?&lt;/div&gt;</summary>
		<author><name>141.101.98.108</name></author>	</entry>

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