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		<id>https://www.explainxkcd.com/wiki/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=172.69.42.50</id>
		<title>explain xkcd - User contributions [en]</title>
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		<updated>2026-06-25T03:25:58Z</updated>
		<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2489:_Bad_Map_Projection:_The_Greenland_Special&amp;diff=215095</id>
		<title>Talk:2489: Bad Map Projection: The Greenland Special</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2489:_Bad_Map_Projection:_The_Greenland_Special&amp;diff=215095"/>
				<updated>2021-07-15T21:32:40Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: Add comment to explain SED syntax&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 want this map, but s/Greenland/Alaska (because that is how big Alaska ''should'' be) [[User:Orion205|Orion205]] ([[User talk:Orion205|talk]]) 05:38, 15 July 2021 (UTC)&lt;br /&gt;
:What are you trying to say? &amp;lt;span style=&amp;quot;text-shadow:0 0 6px black&amp;quot;&amp;gt;[[User:Beanie|&amp;lt;span style=&amp;quot;font-size:11pt;color:#dddddd&amp;quot;&amp;gt;Beanie&amp;lt;/span&amp;gt;]]&amp;lt;/span&amp;gt; &amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;text-shadow:0 0 3px #000000&amp;quot;&amp;gt;[[User talk:Beanie|&amp;lt;span style=&amp;quot;font-size:8pt;color:#dddddd&amp;quot;&amp;gt;talk&amp;lt;/span&amp;gt;]]&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt; 09:50, 15 July 2021 (UTC)&lt;br /&gt;
::s/Greenland/Alaska is the syntax to swap Greenland and Alaska in programs such as SED.  Orion205 want's &amp;quot;The Alaska Special&amp;quot; map projection.  [[Special:Contributions/172.69.42.50|172.69.42.50]] 21:32, 15 July 2021 (UTC)&lt;br /&gt;
Hi, [[User:Beanie]], sorry I've been messing with your well-intentioned Transcript edits, with my own well-intentioned ones. I seem to have difficulty with the Edit Conflict page not being very helpful (on this wide but short small screen, and a browser that wants me to resubmit things and lose newer stuff if I even ''think'' of switching windows mid-edit), especially when it seems we're each pushing little changes in very short intervals (often takes longer to tap in the edit-Summary!), and I'm formally not changing that any more. Except that it's so descriptive, I absolutely wouldn't object to some ''other'' way of describing the 'Supertitle', like a Subtitle but above the in-comic main title-scrawl, for example. (I only 'reverted' that back over because it was easier than trying to snipe in all the other retweaks it looked at one point that I needed to reapply when I couldn't work out why it was submitting so 'wrong'.) You've probably safely and sanely un-nuked my 'nuke' by the time I've added this comment, of course, but I can't know for sure yet... ;) [[Special:Contributions/141.101.99.177|141.101.99.177]] 10:24, 15 July 2021 (UTC)&lt;br /&gt;
:Ah well, I'm trying to conform to the usual style of transcripts. I will compare this to other examples of 'Bad Map Projections', in hope of styling the transcript right :). &amp;lt;span style=&amp;quot;text-shadow:0 0 6px black&amp;quot;&amp;gt;[[User:Beanie|&amp;lt;span style=&amp;quot;font-size:11pt;color:#dddddd&amp;quot;&amp;gt;Beanie&amp;lt;/span&amp;gt;]]&amp;lt;/span&amp;gt; &amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;text-shadow:0 0 3px #000000&amp;quot;&amp;gt;[[User talk:Beanie|&amp;lt;span style=&amp;quot;font-size:8pt;color:#dddddd&amp;quot;&amp;gt;talk&amp;lt;/span&amp;gt;]]&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt; 10:35, 15 July 2021 (UTC)&lt;br /&gt;
:I would say that two of those others are contrary to the ''general'' Transcript format that people have been arguing about recently, and the third is much closer to how the other edit looked (albeit for a bottom-titled). Not my place to retro-edit ''en-mass'', though. Just commentary. And do we put links in the Transcript, these days? If not in the main Explanation, maybe as Trivia? Whatever. [[Special:Contributions/162.158.159.48|162.158.159.48]] 15:37, 15 July 2021 (UTC)&lt;br /&gt;
The non-Greenland map projection is very close to Kavrayskiy 5 (not 7) except the South Pole is rounded like Mollweide. - [[User:Frankie|Frankie]] ([[User talk:Frankie|talk]]) 12:09, 15 July 2021 (UTC)&lt;br /&gt;
Does anyone know which projection the rest of the map is? [[User:Djbrasier|Djbrasier]] ([[User talk:Djbrasier|talk]]) 13:10, 15 July 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2476:_Base_Rate&amp;diff=213515</id>
		<title>2476: Base Rate</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2476:_Base_Rate&amp;diff=213515"/>
				<updated>2021-06-16T18:34:28Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: Fixed typo &amp;quot;...he take home message..&amp;quot; to &amp;quot;...the take home message&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2476&lt;br /&gt;
| date      = June 14, 2021&lt;br /&gt;
| title     = Base Rate&lt;br /&gt;
| image     = base_rate.png&lt;br /&gt;
| titletext = Sure, you can talk about per-capita adjustment, but if you want to solve the problem, it's obvious that this is the group you need to focus on.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
{{incomplete|Created by a LEFTY. Seems like the entire first paragraph has very little to do with this comic. And there is not enough explanation of why Cueball's statement is a base rate error. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
The &amp;quot;{{w|base rate}}&amp;quot; is a type of base probability, which a statistical probability can be based on. The {{w|base rate fallacy}} is a type of error in which people are presented with the rate at which something occurs throughout an entire population along with more specific information about a subset of that population, and tend to ignore the whole-population information in favor of the specific information. For instance, imagine a disease that is present in 1% of the population, for which there is a test with a 5% false-positive rate. This test might be presented as &amp;quot;95% accurate&amp;quot;, and so people who receive a positive result from such a test are likely to think they have the disease. However, someone who receives a positive test result has only a 17% chance of actually having the disease; a much more likely reason for the positive result, occurring in 83% of all positive test results, is a false (wrong) positive.&lt;br /&gt;
&lt;br /&gt;
In this case, the joke is that 90% of people are right-handed, so [[Cueball|Cueball's]] claim that right-handers commit 90% of base-rate errors is itself a base-rate error. &lt;br /&gt;
&lt;br /&gt;
Since Cueball has no facial features it can be impossible to tell if he faces the audience or looks at his graph. However, it seems most likely that he is looking at his audience while delivering the take home message and thus points at the graph behind him. If this is the case then the pointer is held in Cueball's right hand, indicating that he too is right-handed (as 90% of stick figures are), so belonging to the 90% that makes 90% of the base-rate errors, one of those he is just committing.&lt;br /&gt;
&lt;br /&gt;
Something similar occurs in [[1138: Heatmap]], where Cueball makes inferences simply based on a population map of the US, instead of statistical evidence.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
{{incomplete transcript|Do NOT delete this tag too soon.}}&lt;br /&gt;
:[Cueball standing in front of a screen, holding a pointer. The screen shows a bar graph with 2 bars, labeled &amp;quot;L&amp;quot; and &amp;quot;R&amp;quot;. The &amp;quot;R&amp;quot; bar is significantly greater than &amp;quot;L&amp;quot;.]&lt;br /&gt;
:Cueball: Remember, right-handed people commit 90% of all base rate errors.&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
[[Category:Statistics]]&lt;br /&gt;
[[Category:Bar charts]]&lt;br /&gt;
[[Category:Comics featuring Cueball]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=388:_Fuck_Grapefruit&amp;diff=213100</id>
		<title>388: Fuck Grapefruit</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=388:_Fuck_Grapefruit&amp;diff=213100"/>
				<updated>2021-06-04T16:17:11Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 388&lt;br /&gt;
| date      = February 25, 2008&lt;br /&gt;
| title     = Fuck Grapefruit&lt;br /&gt;
| image     = fuck_grapefruit.png&lt;br /&gt;
| titletext = Coconuts are so far down to the left they couldn't be fit on the chart. Ever spent half an hour trying to open a coconut with a rock? Fuck coconuts.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
This comic consists of a chart where [[Randall]] has plotted {{w|fruits}} according to two criteria: ease/difficulty to eat on the horizontal axis and tastiness on the vertical axis. The Y-axis goes from &amp;quot;tasty&amp;quot; at the top to &amp;quot;untasty&amp;quot; at the bottom. The X-axis goes from &amp;quot;easy&amp;quot; on the right to &amp;quot;difficult&amp;quot; on the left.&lt;br /&gt;
&lt;br /&gt;
For instance, {{w|pineapples}} are deemed fairly tasty but very difficult to eat, whereas (seeded) {{w|grapes}} are very tasty and somewhat easy, and logically {{w|Grape#Seedless_grapes|seedless grapes}} are roughly equally tasty but easier to eat.&lt;br /&gt;
&lt;br /&gt;
Obviously, being easy to eat is preferable to being difficult, and being tasty is preferable to being untasty, so the &amp;quot;best&amp;quot; fruits (regarding these two aspects only) are in the top-right corner, and the worst in the bottom-left; additionally, in the top-left corner are the &amp;quot;difficult-but-worthy&amp;quot; fruits, and in the bottom-right one, the &amp;quot;not-very-tasty-but-at-least-they're-easy-to-eat&amp;quot; ones.&lt;br /&gt;
&lt;br /&gt;
The individual ratings of each fruit are subjective -- very obviously in the case of tastiness, and more subtly for difficulty. Randall does not explain his criteria for ranking the difficulty of each fruit, and it is likely based on only personal experiences. Someone who has grown up in an area where pineapples are plentiful is likely to be more adept at skillfully preparing them. The discrepancies between how Randall has rated certain fruits and how others believe they should have been rated caused a [[#Controversy|surprising level of controversy]]. Nine years later, a comic about the best tasting foods [[1811: Best-Tasting Colors]] was released, which also generated a lot of discussion. That comic indicated that Randall had [[#Change of taste|changed his taste]] over the years. Later, Randall suggests using a [[1949: Fruit Collider]] to create a pineapple with apple skin, thus combining tastiness with ease to eat.&lt;br /&gt;
&lt;br /&gt;
According to the chart, {{w|Grapefruit}} is the third hardest fruit to eat, as well as the second least tasty fruit (from the ones listed at least). Eating one of them is like spending too much of one's time and energy without much reward. Hence Randall's quip in the title: &amp;quot;Fuck grapefruit.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
In the title text, Randall mentions {{w|coconuts}}. Randall mentions that he would have to put them so far down to the left on the chart (not far down, just far down towards the left), that they would not fit in this chart. He thus states that it is so much more difficult to eat (especially to open) coconuts than the usual mainstream fruits such as the ones plotted here. If he did include coconuts in the chart, the rest of the fruits would all be pushed to the right side of the chart. He does not say that he does not like to eat the fruit. (Although it has &amp;quot;{{w|nut}}&amp;quot; in its name, the coconut is actually a {{w|Drupe|stone fruit}} and thus belongs on a chart of fruit.) Having spent half an hour trying (in vain?) to open a coconut, Randall also only has one thing to say about them: &amp;quot;Fuck coconuts.&amp;quot; However, harvesting just the &amp;quot;milk&amp;quot; is pretty easy, as you can poke a sturdy stick or metal pole into one of three spots located on the coconut. These spots are lighter and slightly indented from the rest of the coconut and form a triangle shape.&lt;br /&gt;
&lt;br /&gt;
A similar problem is later displayed in a small scatter plot of the capabilities vs cuteness of Mars Rovers in [[2433: Mars Rovers]]. The plot has 3 types of rovers (5 rovers, but two times two are very similar). But far outside the plot to the right is a very cute rover, that did not fit inside the actual plots axis. Of course in this case it actually possible to draw them all, and the X-axis could have been drawn longer to include the last rover! But it is made like this to make a point, that is similar to the one made in the title text of this comic.&lt;br /&gt;
&lt;br /&gt;
In [[1701: Speed and Danger]], another scatter plot shows exactly what happens when one point is inserted into such a plot if it is far removed from all the other points, in this case even on both axes.&lt;br /&gt;
&lt;br /&gt;
Note that [[Randall]] uses similar diagrams in both [[1242: Scary Names]], [[1501: Mysteries]] and [[2466: In Your Classroom]], which also contain different items. The first two also have an extra point, and the last two extra points mentioned in the title text. Only the first and the lasts comics points are also off the chart, whereas for the second the description of the point is too long to fit on the chart. Extra info outside the chart is also used in the title text of [[1785: Wifi]], but this is a line graph.&lt;br /&gt;
&lt;br /&gt;
===Table===&lt;br /&gt;
The table below lists approximate coordinates for each fruit using a scale of -100% (untasty/difficult) to 100% (tasty/easy). The coordinates are based on the included fruits, any new items added outside the current range (e.g. Coconuts) would cause the scales to be reassigned, and thus change the coordinate values of existing items.&lt;br /&gt;
&lt;br /&gt;
The coordinates have been found by measuring each fruit from the center of the drawing (not the center of mass, but center from left to right/top to bottom) to the two axes. The axes are hand drawn, which is clearly visible. The numbers have been obtained by measuring to the nearest point of each axis, not taking into account that the axes are not perfect straight perpendicular lines. &lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable sortable&amp;quot;&lt;br /&gt;
! Tastiness !! Easiness !! Fruit !! Comments&lt;br /&gt;
|-&lt;br /&gt;
| 100% || 68% || {{w|Peaches}} || Among Randall's favorite fruits, as it is the one deemed most tasty, and it is far tastier than the four fruits that are deemed easier to eat. While it does contain a stone/pit that may be annoying due to the disposal of the sticky remains, it's large enough to eat around, and Randall apparently sees it not to be that big a problem in the long run. In [[1949: Fruit Collider]], Randall has also shown his love for peaches, with &amp;quot;watermelon sized&amp;quot; peaches appearing.&lt;br /&gt;
|-&lt;br /&gt;
| 85% || 13% || {{w|Grape|Seeded grapes}} || Randall apparently subscribes to the theory that seeded grapes are tastier than unseeded grapes due to higher genetic diversity, but are harder to eat because of the seeds. &lt;br /&gt;
|-&lt;br /&gt;
| 75% || 75% || {{w|Strawberries}} || Actually not a berry but an {{w|accessory fruit}}, like many of the other fruits on the chart.&lt;br /&gt;
|-&lt;br /&gt;
| 72% || 100% || {{w|Grape#Seedless_grapes|Seedless grapes}} || Randall apparently subscribes to the theory that seeded grapes are tastier than unseeded grapes due to higher genetic diversity, but are harder to eat because of the seeds. &lt;br /&gt;
|-&lt;br /&gt;
| 68% || -100% || {{w|Pineapples}} || Requires a knife to prepare and can be tricky to dissect without wasting a lot of the fruit.&lt;br /&gt;
|-&lt;br /&gt;
| 58% || 87% || {{w|Blueberries}} || Usually not listed as a fruit but as a {{w|berry}}, although this is still a type of fruit.&lt;br /&gt;
|-&lt;br /&gt;
| 38% || 42% || {{w|Cherries}} || Containing a stone/pit that may be annoying due to the disposal of the sticky remains and taking care not to swallow them.&lt;br /&gt;
|-&lt;br /&gt;
| 37% || 66% || {{w|Pear}}s || Most people will not eat the core of the pear and is thus left with some sticky part that needs to be disposed of. &lt;br /&gt;
|-&lt;br /&gt;
| 22% || 79% || {{w|Green apples}} || Most people will not eat the apple core and is thus left with some sticky part that needs to be disposed of.&lt;br /&gt;
|-&lt;br /&gt;
| 17% || 59% || {{w|Plums}} ||  Containing a stone/pit that may be annoying due to the disposal of the sticky remains and taking care not to swallow them.&lt;br /&gt;
|-&lt;br /&gt;
| 15% || -20% || {{w|Watermelons}} || Surprisingly considered by Randall to be easier than oranges, which are fairly easy to peel. A watermelon is larger, so the effort to reward ratio is better, but this shouldn't affect its 'ease of eating' position. On the other hand, it is easy to cut a watermelon into edible pieces. You cannot cut an orange like this. They can sometimes be very difficult to peel, and you will get very sticky when trying. This can be avoided with the watermelon.&lt;br /&gt;
|-&lt;br /&gt;
| -12% || 79% || {{w|Apple|Red apples}} ||  Most people will not eat the apple core and is thus left with some sticky part that need to be disposed. Green apples are shown as tastier than red may partially be because in his &amp;quot;What If?&amp;quot; book, Randall mentions a specific dislike of &amp;quot;red delicious&amp;quot; apples.&lt;br /&gt;
|-&lt;br /&gt;
| -18% || 16% || {{w|Bananas}} || The only fruit with a skin that requires peeling with a positive value on the X-axis, likely because it has a nub on the top that makes it far easier to remove than other peeling-required fruits. However, it is likely due to this reason that it is not very far along the X-axis, since ultimately one still has to do some preparation to eat it, unlike all the other fruits on the positive X-axis end. Alternatively, the stringy pith that some people refuse to eat and thus have to pick off also holds it back from being deemed easy to eat. The difficulty could also relate to the different opinion of which end to open bananas in, which was the subject of the much later [[1982: Evangelism]], especially in the title text.&lt;br /&gt;
|-&lt;br /&gt;
| -20% || -85% || {{w|Pomegranates}} || Pomegranates have a very large number of tart, juice-filled arils surrounded in inedible pith and a fairly tough skin.  Retrieving the arils is notoriously messy.&lt;br /&gt;
|-&lt;br /&gt;
| -46% || -49% || {{w|Oranges}} || Considered more difficult than lemons, perhaps due to the layer of pith that is rarely encountered when preparing lemons.&lt;br /&gt;
|-&lt;br /&gt;
| -74% || 26% || {{w|Tomatoes}} || The culinary arts, nutritional sciences, and United States tax and customs regulations all treat tomatoes as a {{w|vegetable}}, mostly due to its taste. In the botanical sense, however, it is actually a fruit (specifically, a {{w|berry}}).&lt;br /&gt;
|-&lt;br /&gt;
| -86% || -75% || {{w|Grapefruit}} || Grapefruits are seldom simply peeled and eaten by hand, due to their thick skin and the tough, chewy interior walls separating the segments. The conventional way to eat them is by cutting them in half equatorially and digging out the fleshy segments with a spoon (preferably a specialized &amp;quot;{{w|grapefruit spoon}}&amp;quot; with a serrated tip); some also prepare the grapefruit before eating by using a knife to separate the segments from the walls. The flesh also has a notable bitterness to it, in contrast to many of the other fruits on the graph (sometimes balanced by adding sugar or honey, albeit this adds another step to the preparation involved). Randall appears to find this bitterness unappetizing, and this, combined with the laboriousness involved, leads him to have great contempt for the fruit. Hence, &amp;quot;fuck grapefruit.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| -100% || -15% || {{w|Lemons}} || Considered easier than oranges, perhaps due to the layer of pith that is rarely encountered when preparing lemons. Very untasty in and of themselves; lemons are a common baking ingredient, but are so sour they are rarely eaten as a fruit.&lt;br /&gt;
|-&lt;br /&gt;
| Unknown || Off Chart || {{w|Coconuts}} || Coconuts are incredibly difficult to open due to their hard outer shell. It is unclear what stance Randall has on the taste of Coconuts.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
:[An X-Y scatter plot of fruit where both axes have arrows in both ends. At the end of each arrow is a label.]  &lt;br /&gt;
:[The X-axis from left to right:]&lt;br /&gt;
:Difficult&lt;br /&gt;
:Easy&lt;br /&gt;
:[The Y-axis from top to bottom:]&lt;br /&gt;
:Tasty&lt;br /&gt;
:Untasty&lt;br /&gt;
&lt;br /&gt;
:[The fruit names are listed here below from top to bottom according to the how tasty the fruit is, not necessarily in the same order that the names are written if one fruit is tall/large and the other low:]&lt;br /&gt;
:Peaches&lt;br /&gt;
:Seeded grapes&lt;br /&gt;
:Strawberries&lt;br /&gt;
:Seedless grapes&lt;br /&gt;
:Pineapples&lt;br /&gt;
:Blueberries&lt;br /&gt;
:Cherries&lt;br /&gt;
:Pears&lt;br /&gt;
:Green apples&lt;br /&gt;
:Plums&lt;br /&gt;
:Watermelons&lt;br /&gt;
:Red apples&lt;br /&gt;
:Bananas&lt;br /&gt;
:Pomegranates&lt;br /&gt;
:Oranges&lt;br /&gt;
:Tomatoes&lt;br /&gt;
:Grapefruit&lt;br /&gt;
:Lemons&lt;br /&gt;
&lt;br /&gt;
==Trivia==&lt;br /&gt;
===Controversy===&lt;br /&gt;
*As evident from the above section, and according to [http://blog.xkcd.com/2008/02/25/fruit-opinions/ FRUIT OPINIONS!] on the [http://blog.xkcd.com/ Blag], this was the most controversial comic written to this point, ''beating out comics about cunnilingus, the Obama endorsement, and my making 4chan tiny on the map of online communities''.&lt;br /&gt;
**{{w|Cunnilingus}} see [[136: Science Fair]].&lt;br /&gt;
**{{w|List of Barack Obama presidential campaign endorsements, 2008|The Obama endorsement}} See [http://blog.xkcd.com/2008/01/28/obama/ Politics] also from the Blag. &lt;br /&gt;
***The only comic mentioning {{w|Obama}} before this comic was [[360: Writers Strike]].&lt;br /&gt;
**{{w|4chan}} is tiny on the map of the internet called [[256: Online Communities]]. (See the small island to the far right - left of &amp;quot;dragons&amp;quot; in the sentence ''Here there be anthropomorphic dragons''.)&lt;br /&gt;
***Not to be confused with the comic that is actually named [[195: Map of the Internet]].&lt;br /&gt;
*A later food taste comic [[1811: Best-Tasting Colors]] also generated a lot of [[Talk:1811: Best-Tasting Colors|talk on these pages]] (see more about it [[#Change of taste|below]]).&lt;br /&gt;
**Similarly the [[Talk:1534: Beer|talk page]] for [[1534: Beer]] was also used a lot because Randall said he did not like beer. &lt;br /&gt;
**So it seems that food is almost as sensitive as politics, although Randall's endorsement of {{w|Hillary Clinton}} in [[1756: I'm With Her]] the day before the {{w|United_States_presidential_election,_2016|presidential election in 2016}} where {{w|Donald Trump}} won, seems to have generated even more [[Talk:1756: I'm With Her|talk here]] than any food related comic.&lt;br /&gt;
&lt;br /&gt;
===Change of taste===&lt;br /&gt;
Later, in [[1811: Best-Tasting Colors]], Randall once again rates food taste in general, but this time based on the color of the food. So not just fruit and nothing about how easy it is to eat. There are, however, several of the fruits from this chart included, but not grapefruit. Instead, {{w|Concord grape|purple grapes}} is rated as the worst fruit on the chart with less than 1.5 on a scale from 1-9. This is interesting, as he did not include those in this chart, but has rated green/white {{w|Table grape|grapes}} very high in tastiness. It seems like he has altered his taste over the nine years between releases, since lemon, which was the worst taste on this chart, has moved up to 3/9 while Oranges have moved further down to a 2/9. Watermelon is also included (both for pink and green) with 6/9 making it seem better than in this chart. Green apples has also moved almost to the top with nearly 8/9 vs. only just above 50% here. Finally, there is cherry (as good as the apple) and strawberry (8.5/9), which fits here for strawberry, but it seems like cherries has moved up a notch. Three fruits not included here are Lime (as lemon), and red and blue raspberries (5.5/9). But it turns out that the worst taste for Randall is not grape, but licorice at 1/9, with both popcorn and coffee worse than grape at about 1.5/9 . The best is cotton candy, which beats strawberry by a nose.&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Comics with color]]&lt;br /&gt;
[[Category:Scatter plots]]&lt;br /&gt;
[[Category:Rankings]]&lt;br /&gt;
[[Category:Food]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=388:_Fuck_Grapefruit&amp;diff=213099</id>
		<title>388: Fuck Grapefruit</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=388:_Fuck_Grapefruit&amp;diff=213099"/>
				<updated>2021-06-04T16:15:07Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: The comic is named after grapefruit; it deserved a better explanation. PS I love the stuff. --mezimm&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 388&lt;br /&gt;
| date      = February 25, 2008&lt;br /&gt;
| title     = Fuck Grapefruit&lt;br /&gt;
| image     = fuck_grapefruit.png&lt;br /&gt;
| titletext = Coconuts are so far down to the left they couldn't be fit on the chart. Ever spent half an hour trying to open a coconut with a rock? Fuck coconuts.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
This comic consists of a chart where [[Randall]] has plotted {{w|fruits}} according to two criteria: ease/difficulty to eat on the horizontal axis and tastiness on the vertical axis. The Y-axis goes from &amp;quot;tasty&amp;quot; at the top to &amp;quot;untasty&amp;quot; at the bottom. The X-axis goes from &amp;quot;easy&amp;quot; on the right to &amp;quot;difficult&amp;quot; on the left.&lt;br /&gt;
&lt;br /&gt;
For instance, {{w|pineapples}} are deemed fairly tasty but very difficult to eat, whereas (seeded) {{w|grapes}} are very tasty and somewhat easy, and logically {{w|Grape#Seedless_grapes|seedless grapes}} are roughly equally tasty but easier to eat.&lt;br /&gt;
&lt;br /&gt;
Obviously, being easy to eat is preferable to being difficult, and being tasty is preferable to being untasty, so the &amp;quot;best&amp;quot; fruits (regarding these two aspects only) are in the top-right corner, and the worst in the bottom-left; additionally, in the top-left corner are the &amp;quot;difficult-but-worthy&amp;quot; fruits, and in the bottom-right one, the &amp;quot;not-very-tasty-but-at-least-they're-easy-to-eat&amp;quot; ones.&lt;br /&gt;
&lt;br /&gt;
The individual ratings of each fruit are subjective -- very obviously in the case of tastiness, and more subtly for difficulty. Randall does not explain his criteria for ranking the difficulty of each fruit, and it is likely based on only personal experiences. Someone who has grown up in an area where pineapples are plentiful is likely to be more adept at skillfully preparing them. The discrepancies between how Randall has rated certain fruits and how others believe they should have been rated caused a [[#Controversy|surprising level of controversy]]. Nine years later, a comic about the best tasting foods [[1811: Best-Tasting Colors]] was released, which also generated a lot of discussion. That comic indicated that Randall had [[#Change of taste|changed his taste]] over the years. Later, Randall suggests using a [[1949: Fruit Collider]] to create a pineapple with apple skin, thus combining tastiness with ease to eat.&lt;br /&gt;
&lt;br /&gt;
According to the chart, {{w|Grapefruit}} is the third hardest fruit to eat, as well as the second least tasty fruit (from the ones listed at least). Eating one of them is like spending too much of one's time and energy without much reward. Hence Randall's quip in the title: &amp;quot;Fuck grapefruit.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
In the title text, Randall mentions {{w|coconuts}}. Randall mentions that he would have to put them so far down to the left on the chart (not far down, just far down towards the left), that they would not fit in this chart. He thus states that it is so much more difficult to eat (especially to open) coconuts than the usual mainstream fruits such as the ones plotted here. If he did include coconuts in the chart, the rest of the fruits would all be pushed to the right side of the chart. He does not say that he does not like to eat the fruit. (Although it has &amp;quot;{{w|nut}}&amp;quot; in its name, the coconut is actually a {{w|Drupe|stone fruit}} and thus belongs on a chart of fruit.) Having spent half an hour trying (in vain?) to open a coconut, Randall also only has one thing to say about them: &amp;quot;Fuck coconuts.&amp;quot; However, harvesting just the &amp;quot;milk&amp;quot; is pretty easy, as you can poke a sturdy stick or metal pole into one of three spots located on the coconut. These spots are lighter and slightly indented from the rest of the coconut and form a triangle shape.&lt;br /&gt;
&lt;br /&gt;
A similar problem is later displayed in a small scatter plot of the capabilities vs cuteness of Mars Rovers in [[2433: Mars Rovers]]. The plot has 3 types of rovers (5 rovers, but two times two are very similar). But far outside the plot to the right is a very cute rover, that did not fit inside the actual plots axis. Of course in this case it actually possible to draw them all, and the X-axis could have been drawn longer to include the last rover! But it is made like this to make a point, that is similar to the one made in the title text of this comic.&lt;br /&gt;
&lt;br /&gt;
In [[1701: Speed and Danger]], another scatter plot shows exactly what happens when one point is inserted into such a plot if it is far removed from all the other points, in this case even on both axes.&lt;br /&gt;
&lt;br /&gt;
Note that [[Randall]] uses similar diagrams in both [[1242: Scary Names]], [[1501: Mysteries]] and [[2466: In Your Classroom]], which also contain different items. The first two also have an extra point, and the last two extra points mentioned in the title text. Only the first and the lasts comics points are also off the chart, whereas for the second the description of the point is too long to fit on the chart. Extra info outside the chart is also used in the title text of [[1785: Wifi]], but this is a line graph.&lt;br /&gt;
&lt;br /&gt;
===Table===&lt;br /&gt;
The table below lists approximate coordinates for each fruit using a scale of -100% (untasty/difficult) to 100% (tasty/easy). The coordinates are based on the included fruits, any new items added outside the current range (e.g. Coconuts) would cause the scales to be reassigned, and thus change the coordinate values of existing items.&lt;br /&gt;
&lt;br /&gt;
The coordinates have been found by measuring each fruit from the center of the drawing (not the center of mass, but center from left to right/top to bottom) to the two axes. The axes are hand drawn, which is clearly visible. The numbers have been obtained by measuring to the nearest point of each axis, not taking into account that the axes are not perfect straight perpendicular lines. &lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable sortable&amp;quot;&lt;br /&gt;
! Tastiness !! Easiness !! Fruit !! Comments&lt;br /&gt;
|-&lt;br /&gt;
| 100% || 68% || {{w|Peaches}} || Among Randall's favorite fruits, as it is the one deemed most tasty, and it is far tastier than the four fruits that are deemed easier to eat. While it does contain a stone/pit that may be annoying due to the disposal of the sticky remains, it's large enough to eat around, and Randall apparently sees it not to be that big a problem in the long run. In [[1949: Fruit Collider]], Randall has also shown his love for peaches, with &amp;quot;watermelon sized&amp;quot; peaches appearing.&lt;br /&gt;
|-&lt;br /&gt;
| 85% || 13% || {{w|Grape|Seeded grapes}} || Randall apparently subscribes to the theory that seeded grapes are tastier than unseeded grapes due to higher genetic diversity, but are harder to eat because of the seeds. &lt;br /&gt;
|-&lt;br /&gt;
| 75% || 75% || {{w|Strawberries}} || Actually not a berry but an {{w|accessory fruit}}, like many of the other fruits on the chart.&lt;br /&gt;
|-&lt;br /&gt;
| 72% || 100% || {{w|Grape#Seedless_grapes|Seedless grapes}} || Randall apparently subscribes to the theory that seeded grapes are tastier than unseeded grapes due to higher genetic diversity, but are harder to eat because of the seeds. &lt;br /&gt;
|-&lt;br /&gt;
| 68% || -100% || {{w|Pineapples}} || Requires a knife to prepare and can be tricky to dissect without wasting a lot of the fruit.&lt;br /&gt;
|-&lt;br /&gt;
| 58% || 87% || {{w|Blueberries}} || Usually not listed as a fruit but as a {{w|berry}}, although this is still a type of fruit.&lt;br /&gt;
|-&lt;br /&gt;
| 38% || 42% || {{w|Cherries}} || Containing a stone/pit that may be annoying due to the disposal of the sticky remains and taking care not to swallow them.&lt;br /&gt;
|-&lt;br /&gt;
| 37% || 66% || {{w|Pear}}s || Most people will not eat the core of the pear and is thus left with some sticky part that needs to be disposed of. &lt;br /&gt;
|-&lt;br /&gt;
| 22% || 79% || {{w|Green apples}} || Most people will not eat the apple core and is thus left with some sticky part that needs to be disposed of.&lt;br /&gt;
|-&lt;br /&gt;
| 17% || 59% || {{w|Plums}} ||  Containing a stone/pit that may be annoying due to the disposal of the sticky remains and taking care not to swallow them.&lt;br /&gt;
|-&lt;br /&gt;
| 15% || -20% || {{w|Watermelons}} || Surprisingly considered by Randall to be easier than oranges, which are fairly easy to peel. A watermelon is larger, so the effort to reward ratio is better, but this shouldn't affect its 'ease of eating' position. On the other hand, it is easy to cut a watermelon into edible pieces. You cannot cut an orange like this. They can sometimes be very difficult to peel, and you will get very sticky when trying. This can be avoided with the watermelon.&lt;br /&gt;
|-&lt;br /&gt;
| -12% || 79% || {{w|Apple|Red apples}} ||  Most people will not eat the apple core and is thus left with some sticky part that need to be disposed. Green apples are shown as tastier than red may partially be because in his &amp;quot;What If?&amp;quot; book, Randall mentions a specific dislike of &amp;quot;red delicious&amp;quot; apples.&lt;br /&gt;
|-&lt;br /&gt;
| -18% || 16% || {{w|Bananas}} || The only fruit with a skin that requires peeling with a positive value on the X-axis, likely because it has a nub on the top that makes it far easier to remove than other peeling-required fruits. However, it is likely due to this reason that it is not very far along the X-axis, since ultimately one still has to do some preparation to eat it, unlike all the other fruits on the positive X-axis end. Alternatively, the stringy pith that some people refuse to eat and thus have to pick off also holds it back from being deemed easy to eat. The difficulty could also relate to the different opinion of which end to open bananas in, which was the subject of the much later [[1982: Evangelism]], especially in the title text.&lt;br /&gt;
|-&lt;br /&gt;
| -20% || -85% || {{w|Pomegranates}} || Pomegranates have a very large number of tart, juice-filled arils surrounded in inedible pith and a fairly tough skin.  Retrieving the arils is notoriously messy.&lt;br /&gt;
|-&lt;br /&gt;
| -46% || -49% || {{w|Oranges}} || Considered more difficult than lemons, perhaps due to the layer of pith that is rarely encountered when preparing lemons.&lt;br /&gt;
|-&lt;br /&gt;
| -74% || 26% || {{w|Tomatoes}} || The culinary arts, nutritional sciences, and United States tax and customs regulations all treat tomatoes as a {{w|vegetable}}, mostly due to its taste. In the botanical sense, however, it is actually a fruit (specifically, a {{w|berry}}).&lt;br /&gt;
|-&lt;br /&gt;
| -86% || -75% || {{w|Grapefruit}} || Grapefruits are seldom simply peeled and eaten by hand, due to their thick skin and the tough, chewy interior walls separating the segments. The conventional way to eat them is by cutting them in half equatorially and digging out the fleshy segments with a spoon (preferably a specialized &amp;quot;{{w|grapefruit spoon}}&amp;quot; with a serrated tip); some also prepare the grapefruit before eating by using a knife to separate the segments from the walls. The flesh also has a notable bitterness to it, in contrast to many of the other fruits on the graph (sometimes balanced by adding sugar or honey, albeit this adds another step to the preparation involved). Randall appears to find this bitterness unappetizing, and this, combined with the laboriousness involved in eating the fruit, leads him to have great contempt for it. Hence, &amp;quot;fuck grapefruit.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| -100% || -15% || {{w|Lemons}} || Considered easier than oranges, perhaps due to the layer of pith that is rarely encountered when preparing lemons. Very untasty in and of themselves; lemons are a common baking ingredient, but are so sour they are rarely eaten as a fruit.&lt;br /&gt;
|-&lt;br /&gt;
| Unknown || Off Chart || {{w|Coconuts}} || Coconuts are incredibly difficult to open due to their hard outer shell. It is unclear what stance Randall has on the taste of Coconuts.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
:[An X-Y scatter plot of fruit where both axes have arrows in both ends. At the end of each arrow is a label.]  &lt;br /&gt;
:[The X-axis from left to right:]&lt;br /&gt;
:Difficult&lt;br /&gt;
:Easy&lt;br /&gt;
:[The Y-axis from top to bottom:]&lt;br /&gt;
:Tasty&lt;br /&gt;
:Untasty&lt;br /&gt;
&lt;br /&gt;
:[The fruit names are listed here below from top to bottom according to the how tasty the fruit is, not necessarily in the same order that the names are written if one fruit is tall/large and the other low:]&lt;br /&gt;
:Peaches&lt;br /&gt;
:Seeded grapes&lt;br /&gt;
:Strawberries&lt;br /&gt;
:Seedless grapes&lt;br /&gt;
:Pineapples&lt;br /&gt;
:Blueberries&lt;br /&gt;
:Cherries&lt;br /&gt;
:Pears&lt;br /&gt;
:Green apples&lt;br /&gt;
:Plums&lt;br /&gt;
:Watermelons&lt;br /&gt;
:Red apples&lt;br /&gt;
:Bananas&lt;br /&gt;
:Pomegranates&lt;br /&gt;
:Oranges&lt;br /&gt;
:Tomatoes&lt;br /&gt;
:Grapefruit&lt;br /&gt;
:Lemons&lt;br /&gt;
&lt;br /&gt;
==Trivia==&lt;br /&gt;
===Controversy===&lt;br /&gt;
*As evident from the above section, and according to [http://blog.xkcd.com/2008/02/25/fruit-opinions/ FRUIT OPINIONS!] on the [http://blog.xkcd.com/ Blag], this was the most controversial comic written to this point, ''beating out comics about cunnilingus, the Obama endorsement, and my making 4chan tiny on the map of online communities''.&lt;br /&gt;
**{{w|Cunnilingus}} see [[136: Science Fair]].&lt;br /&gt;
**{{w|List of Barack Obama presidential campaign endorsements, 2008|The Obama endorsement}} See [http://blog.xkcd.com/2008/01/28/obama/ Politics] also from the Blag. &lt;br /&gt;
***The only comic mentioning {{w|Obama}} before this comic was [[360: Writers Strike]].&lt;br /&gt;
**{{w|4chan}} is tiny on the map of the internet called [[256: Online Communities]]. (See the small island to the far right - left of &amp;quot;dragons&amp;quot; in the sentence ''Here there be anthropomorphic dragons''.)&lt;br /&gt;
***Not to be confused with the comic that is actually named [[195: Map of the Internet]].&lt;br /&gt;
*A later food taste comic [[1811: Best-Tasting Colors]] also generated a lot of [[Talk:1811: Best-Tasting Colors|talk on these pages]] (see more about it [[#Change of taste|below]]).&lt;br /&gt;
**Similarly the [[Talk:1534: Beer|talk page]] for [[1534: Beer]] was also used a lot because Randall said he did not like beer. &lt;br /&gt;
**So it seems that food is almost as sensitive as politics, although Randall's endorsement of {{w|Hillary Clinton}} in [[1756: I'm With Her]] the day before the {{w|United_States_presidential_election,_2016|presidential election in 2016}} where {{w|Donald Trump}} won, seems to have generated even more [[Talk:1756: I'm With Her|talk here]] than any food related comic.&lt;br /&gt;
&lt;br /&gt;
===Change of taste===&lt;br /&gt;
Later, in [[1811: Best-Tasting Colors]], Randall once again rates food taste in general, but this time based on the color of the food. So not just fruit and nothing about how easy it is to eat. There are, however, several of the fruits from this chart included, but not grapefruit. Instead, {{w|Concord grape|purple grapes}} is rated as the worst fruit on the chart with less than 1.5 on a scale from 1-9. This is interesting, as he did not include those in this chart, but has rated green/white {{w|Table grape|grapes}} very high in tastiness. It seems like he has altered his taste over the nine years between releases, since lemon, which was the worst taste on this chart, has moved up to 3/9 while Oranges have moved further down to a 2/9. Watermelon is also included (both for pink and green) with 6/9 making it seem better than in this chart. Green apples has also moved almost to the top with nearly 8/9 vs. only just above 50% here. Finally, there is cherry (as good as the apple) and strawberry (8.5/9), which fits here for strawberry, but it seems like cherries has moved up a notch. Three fruits not included here are Lime (as lemon), and red and blue raspberries (5.5/9). But it turns out that the worst taste for Randall is not grape, but licorice at 1/9, with both popcorn and coffee worse than grape at about 1.5/9 . The best is cotton candy, which beats strawberry by a nose.&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Comics with color]]&lt;br /&gt;
[[Category:Scatter plots]]&lt;br /&gt;
[[Category:Rankings]]&lt;br /&gt;
[[Category:Food]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:787:_Orbiter&amp;diff=212297</id>
		<title>Talk:787: Orbiter</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:787:_Orbiter&amp;diff=212297"/>
				<updated>2021-05-22T01:56:11Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;So, I suppose a flight to the Diaoyu islands is out of the question then. '''[[User:Davidy22|&amp;lt;u&amp;gt;{{Color|#707|David}}&amp;lt;font color=#070 size=3&amp;gt;y&amp;lt;/font&amp;gt;&amp;lt;/u&amp;gt;&amp;lt;font color=#508 size=4&amp;gt;²²&amp;lt;/font&amp;gt;]]'''[[User talk:Davidy22|&amp;lt;tt&amp;gt;[talk]&amp;lt;/tt&amp;gt;]] 02:25, 24 April 2013 (UTC)&lt;br /&gt;
&lt;br /&gt;
: did you mean: Senkaku Islands? --[[User:Quicksilver|Quicksilver]] ([[User talk:Quicksilver|talk]]) 01:11, 20 August 2013 (UTC)&lt;br /&gt;
&lt;br /&gt;
I feel like this explanation page is completely neglecting to explain the joke, which is situational humor in which Cueball, to avoid a workplace conflict between two people who feel strongly about the Palestinian-Israeli conflict, eliminates the discussion before it happens by rescheduling the check-in to what he thinks is a place which has no territorial disputes. Frank then decides to be a butt and bring up the old Texas dispute. [[Special:Contributions/108.162.238.203|108.162.238.203]] 16:56, 1 May 2014 (UTC)&lt;br /&gt;
&lt;br /&gt;
May be a deeper joke here. When the space shuttle Columbia crashed, it was over Palestine, Texas.&lt;br /&gt;
[[Special:Contributions/108.162.246.207|108.162.246.207]] 02:37, 15 September 2014 (UTC)&lt;br /&gt;
&lt;br /&gt;
The given lat-long for Oklahoma doesn't appear to actually relate to Greer County. I have very little knowledge of Texas vs Oklahoma turf wars, do some Texans believe all/most of Oklahoma should be within Texas? --[[User:Pudder|Pudder]] ([[User talk:Pudder|talk]]) 10:33, 16 October 2014 (UTC)&lt;br /&gt;
&lt;br /&gt;
For what it's worth, the coordinates fall within Seminole Nation territory. I wanted to make a joke about &amp;quot;occupied Muscogee Nation&amp;quot; in reference to McGirt v. Oklahoma, but 96.6W is a few miles too far west. If only it was 96.4W... --[[Special:Contributions/172.68.182.116|172.68.182.116]] 00:51, 28 November 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
This comic aged like honey. Honey is naturally antimicrobial. [[Special:Contributions/172.69.42.50|172.69.42.50]] 01:56, 22 May 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1047:_Approximations&amp;diff=210636</id>
		<title>1047: Approximations</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=1047:_Approximations&amp;diff=210636"/>
				<updated>2021-04-20T21:03:38Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: /* Explanation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 1047&lt;br /&gt;
| date      = April 25, 2012&lt;br /&gt;
| title     = Approximations&lt;br /&gt;
| image     = approximations.png&lt;br /&gt;
| titletext = Two tips: 1) 8675309 is not just prime, it's a twin prime, and 2) if you ever find yourself raising log(anything)^e or taking the pi-th root of anything, set down the marker and back away from the whiteboard; something has gone horribly wrong.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
&lt;br /&gt;
This comic lists some approximations for numbers, most of them mathematical and physical constants, but some of them jokes and cultural references.&lt;br /&gt;
&lt;br /&gt;
Approximations like these are sometimes used as {{w|mnemonic}}s by mathematicians and physicists, though most of Randall's approximations are too convoluted to be useful as mnemonics.  Perhaps the best known mnemonic approximation (though not used here by Randall) is that &amp;quot;π is approximately equal to 22/7&amp;quot;.  Randall does mention (and mock) the common mnemonic among physicists that the {{w|fine structure constant}} is approximately 1/137.  Although Randall gives approximations for the number of seconds in a year, he does not mention the common physicists' mnemonic that it is &amp;quot;π × 10&amp;lt;sup&amp;gt;7&amp;lt;/sup&amp;gt;&amp;quot;, though he later added a statement to the top of the comic page addressing this point. &lt;br /&gt;
&lt;br /&gt;
At the bottom of the comic are expressions involving {{w|transcendental numbers}} (namely π and e) that are tantalizingly close to being exactly true but are not (indeed, they cannot be, due to the nature of transcendental numbers).  Such near-equations were previously discussed in [[217: e to the pi Minus pi]].  One of the entries, though, is a &amp;quot;red herring&amp;quot; that is exactly true.  &lt;br /&gt;
&lt;br /&gt;
Randall says he compiled this table through &amp;quot;a mix of trial-and-error, ''{{w|Mathematica}}'', and Robert Munafo's [http://mrob.com/pub/ries/ Ries] tool.&amp;quot;  &amp;quot;Ries&amp;quot; is a &amp;quot;{{w|Closed-form expression#Conversion from numerical forms|reverse calculator}}&amp;quot; that forms equations matching a given number.&lt;br /&gt;
&lt;br /&gt;
The {{w|world population}} estimate for 2020 is still accurate. The estimate is 7.7 billion, and the population listed at the website census.gov is roughly the same. The current value can be found here: [https://www.census.gov/popclock/ United States Census Bureau - U.S. and World Population Clock]. Nevertheless there are other numbers listed by different sources.&lt;br /&gt;
&lt;br /&gt;
The first part of the title text notes that &amp;quot;Jenny's constant,&amp;quot; which is actually a telephone number referenced in Tommy Tutone's 1982 song {{w|867-5309/Jenny}}, is not only prime but a {{w|twin prime}} because 8675311 is also a prime. Twin primes have always been a subject of interest, because they are comparatively rare, and because it is not yet known whether there are infinitely many of them.  Twin primes were also referenced in [[1310: Goldbach Conjectures]]. &lt;br /&gt;
&lt;br /&gt;
The second part of the title text makes fun of the unusual mathematical operations contained in the comic.  {{w|Pi|π}} is a useful number in many contexts, but it doesn't usually occur anywhere in an exponent. Even when it does, such as with complex numbers, taking the πth root is rarely helpful.  A rare exception is an [http://gosper.org/4%5E1%C3%B7%CF%80.png identity] for the pi-th root of 4 discovered by Bill Gosper.  Similarly, {{w|e (mathematical constant)|e}} typically appears in the basis of a power (forming the {{w|exponential function}}), not in the exponent. (This is later referenced in [http://what-if.xkcd.com/73/ Lethal Neutrinos]).&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Thing to be approximated:&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Formula proposed&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Resulting approximate value&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Correct value&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Discussion&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|One {{w|light year}} (meters)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|99&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9,227,446,944,279,201&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9,460,730,472,580,800 (exact)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Based on 365.25 days per year (see below). 99&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; and 69&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; are [[487: Numerical Sex Positions|sexual references]]. &lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Earth's surface (m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|69&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|513,798,374,428,641&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|5.10072 × 10&amp;lt;sup&amp;gt;14&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|99&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; and 69&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; are [[487: Numerical Sex Positions|sexual references]].&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Oceans' volume (m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9&amp;lt;sup&amp;gt;19&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1,350,851,717,672,992,089&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.332 × 10&amp;lt;sup&amp;gt;18&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Seconds in a year&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|75&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|31,640,625&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|31,557,600 (Julian calendar), 31,556,952 (Gregorian calendar)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|After this comic was released [[Randall]] got many responses by viewers. So he did add this statement to the top of the comic page:&lt;br /&gt;
&amp;quot;Lots of emails mention the physicist favorite, 1 year = pi × 10&amp;lt;sup&amp;gt;7&amp;lt;/sup&amp;gt; seconds. 75&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt; is a hair more accurate, but it's hard to top 3,141,592's elegance.&amp;quot; π × 10&amp;lt;sup&amp;gt;7&amp;lt;/sup&amp;gt; is nearly equal to 31,415,926.536, and 75&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt; is exactly 31,640,625. Randall's elegance belongs to the number π, but it should be multiplied by the factor of ten.&lt;br /&gt;
&lt;br /&gt;
Using the traditional definitions that a second is 1/60 of a minute, a minute is 1/60 of an hour, and an hour is 1/24 of a day, a 365-day common year is exactly 31,536,000 seconds (the &amp;quot;''Rent'' method&amp;quot; approximation) and the 366-day leap year is 31,622,400 seconds. Until the calendar was reformed by Pope Gregory, there was one leap year in every four years, making the average year 365.25 days, or 31,557,600 seconds. On the current calendar system, there are only 97 leap years in every 400 years, making the average year 365.2425 days, or 31,556,952 seconds. In technical usage, a &amp;quot;second&amp;quot; is now defined based on physical constants, even though the length of a day varies inversely with the changing angular velocity of the earth.  To keep the official time synchronized with the rotation of the earth, a &amp;quot;leap second&amp;quot; is occasionally added, resulting in a slightly longer year.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Seconds in a year (''Rent'' method)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|525,600 × 60&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|31,536,000&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|31,557,600 (Julian calendar), 31,556,952 (Gregorian calendar)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&amp;quot;''Rent'' Method&amp;quot; refers to the song &amp;quot;{{w|Seasons of Love}}&amp;quot; from the musical ''{{w|Rent (musical)|Rent}}''. The song asks, &amp;quot;How do you measure a year?&amp;quot; One line says &amp;quot;525,600 minutes&amp;quot; while most of the rest of the song suggests the best way to measure a year is moments shared with a loved one.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Age of the universe (seconds)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|15&amp;lt;sup&amp;gt;15&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|437,893,890,380,859,375&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|4.354 ± 0.012 × 10&amp;lt;sup&amp;gt;17&amp;lt;/sup&amp;gt; (best estimate; exact value unknown)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|This one will slowly get more accurate as the universe ages.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Planck's constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {1} {30^{\pi^e}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.6849901410 × 10&amp;lt;sup&amp;gt;−34&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.62606957 × 10&amp;lt;sup&amp;gt;−34&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Informally, the {{w|Planck constant}} is the smallest action possible in quantum mechanics.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Fine structure constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{1}{140}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.00&amp;lt;span style=&amp;quot;text-decoration: overline;&amp;quot;&amp;gt;714285&amp;lt;/span&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.0072973525664 (accepted value as of 2014), close to 1/137&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|fine structure constant}} indicates the strength of electromagnetism. It is unitless and around 0.007297, close to 1/137. The joke here is that Randall chose to write 140 as the denominator, when 137 is much closer to reality and just as many digits (although 137 is a less &amp;quot;round&amp;quot; number than 140, and Randall writes in the table that he's &amp;quot;had enough&amp;quot; of it).  At one point the fine structure constant was believed to be exactly the reciprocal of 137, and many people have tried to find a simple formula explaining this (with a pinch of {{w|numerology}} thrown in at times), including the infamous {{w|Arthur Eddington|Sir Arthur &amp;quot;Adding-One&amp;quot; Eddington}} who argued very strenuously that the fine structure constant &amp;quot;should&amp;quot; be 1/136 when that was what the best measurements suggested, and then argued just as strenuously for 1/137 a few years later as measurements improved.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Fundamental charge&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {3} {14 \pi^{\pi^\pi}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.59895121062716 × 10&amp;lt;sup&amp;gt;−19&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.602176565 × 10&amp;lt;sup&amp;gt;−19&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|This is the charge of the proton, symbolized ''e'' for electron (whose charge is actually −''e''. You can blame Benjamin Franklin [[567|for that]].)&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Telephone number for the {{w|White House}} switchboard&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {1} {e^ {\sqrt[\pi] {1 + \sqrt[e-1] 8}} }&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.2024561414&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|202-456-1414&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Jenny's constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\left( 7^ {\frac{e}{1} - \frac{1}{e}} - 9 \right) \pi^2&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|867.5309019&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|867-5309&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|A telephone number referenced in {{w|Tommy Tutone}}'s 1982 song {{w|867-5309/Jenny}}. As mentioned in the title text, the number not only prime but a {{w|twin prime}} because 8675311 is also a prime. &lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|World population estimate (billions)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Equivalent to &amp;lt;math&amp;gt;6 + \frac {\frac34 y + \frac14 (y \operatorname{mod} 4) - 1499} {10}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2005 — 6.5&amp;lt;br&amp;gt;&lt;br /&gt;
2006 — 6.6&amp;lt;br&amp;gt;&lt;br /&gt;
2007 — 6.7&amp;lt;br&amp;gt;&lt;br /&gt;
2008 — 6.7&amp;lt;br&amp;gt;&lt;br /&gt;
2009 — 6.8&amp;lt;br&amp;gt;&lt;br /&gt;
2010 — 6.9&amp;lt;br&amp;gt;&lt;br /&gt;
2011 — 7.0&amp;lt;br&amp;gt;&lt;br /&gt;
2012 — 7.0&amp;lt;br&amp;gt;&lt;br /&gt;
2013 — 7.1&amp;lt;br&amp;gt;&lt;br /&gt;
2014 — 7.2&amp;lt;br&amp;gt;&lt;br /&gt;
2015 — 7.3&amp;lt;br&amp;gt;&lt;br /&gt;
2016 — 7.3&amp;lt;br&amp;gt;&lt;br /&gt;
2017 — 7.4&amp;lt;br&amp;gt;&lt;br /&gt;
2018 — 7.5&amp;lt;br&amp;gt;&lt;br /&gt;
2019 — 7.6&amp;lt;br&amp;gt;&lt;br /&gt;
2020 — 7.6&amp;lt;br&amp;gt;&lt;br /&gt;
2021 — 7.7&amp;lt;br&amp;gt;&lt;br /&gt;
2022 — 7.8&amp;lt;br&amp;gt;&lt;br /&gt;
2023 — 7.9&amp;lt;br&amp;gt;&lt;br /&gt;
2024 — 7.9&amp;lt;br&amp;gt;&lt;br /&gt;
2025 — 8.0&amp;lt;br&amp;gt;&lt;br /&gt;
2026 — 8.1&amp;lt;br&amp;gt;&lt;br /&gt;
2027 — 8.2&amp;lt;br&amp;gt;&lt;br /&gt;
2028 — 8.2&amp;lt;br&amp;gt;&lt;br /&gt;
2029 — 8.3&amp;lt;br&amp;gt;&lt;br /&gt;
2030 — 8.4&amp;lt;br&amp;gt;&lt;br /&gt;
2031 — 8.5&amp;lt;br&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Grows by 75 million every year on average. As of 2021, roughly correct.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|U.S. population estimate (millions)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Equivalent to &amp;lt;math&amp;gt;310 + 3(y - 2010)&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2000 — 280&amp;lt;br&amp;gt;&lt;br /&gt;
2001 — 283&amp;lt;br&amp;gt;&lt;br /&gt;
2002 — 286&amp;lt;br&amp;gt;&lt;br /&gt;
2003 — 289&amp;lt;br&amp;gt;&lt;br /&gt;
2004 — 292&amp;lt;br&amp;gt;&lt;br /&gt;
2005 — 295&amp;lt;br&amp;gt;&lt;br /&gt;
2006 — 298&amp;lt;br&amp;gt;&lt;br /&gt;
2007 — 301&amp;lt;br&amp;gt;&lt;br /&gt;
2008 — 304&amp;lt;br&amp;gt;&lt;br /&gt;
2009 — 307&amp;lt;br&amp;gt;&lt;br /&gt;
2010 — 310&amp;lt;br&amp;gt;&lt;br /&gt;
2011 — 313&amp;lt;br&amp;gt;&lt;br /&gt;
2012 — 316&amp;lt;br&amp;gt;&lt;br /&gt;
2013 — 319&amp;lt;br&amp;gt;&lt;br /&gt;
2014 — 322&amp;lt;br&amp;gt;&lt;br /&gt;
2015 — 325&amp;lt;br&amp;gt;&lt;br /&gt;
2016 — 328&amp;lt;br&amp;gt;&lt;br /&gt;
2017 — 331&amp;lt;br&amp;gt;&lt;br /&gt;
2018 — 334&amp;lt;br&amp;gt;&lt;br /&gt;
2019 — 337&amp;lt;br&amp;gt;&lt;br /&gt;
2020 — 340&amp;lt;br&amp;gt;&lt;br /&gt;
2021 — 343&amp;lt;br&amp;gt;&lt;br /&gt;
2022 — 346&amp;lt;br&amp;gt;&lt;br /&gt;
2023 — 349&amp;lt;br&amp;gt;&lt;br /&gt;
2024 — 352&amp;lt;br&amp;gt;&lt;br /&gt;
2025 — 355&amp;lt;br&amp;gt;&lt;br /&gt;
2026 — 358&amp;lt;br&amp;gt;&lt;br /&gt;
2027 — 361&amp;lt;br&amp;gt;&lt;br /&gt;
2028 — 364&amp;lt;br&amp;gt;&lt;br /&gt;
2029 — 367&amp;lt;br&amp;gt;&lt;br /&gt;
2030 — 370&amp;lt;br&amp;gt;&lt;br /&gt;
2031 — 373&amp;lt;br&amp;gt;&lt;br /&gt;
2032 — 376&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Grows by 3 million each year. As of 2021 the actual number is ~13 million smaller.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Electron rest energy (joules)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {e} {7^{16}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|8.17948276564429 × 10&amp;lt;sup&amp;gt;−14&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|8.18710438 × 10&amp;lt;sup&amp;gt;−14&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Light year (miles)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2&amp;lt;sup&amp;gt;42.42&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|5,884,267,614,436.97&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|5,878,625,373,183.61 = 9,460,730,472,580,800 (meters in a light-year, by definition) / 1609.344 (meters in a mile)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|{{w|42 (number)|42}} is, according to {{w|Douglas Adams}}' ''{{w|The Hitchhiker's Guide to the Galaxy}}'', the answer to the Ultimate Question of Life, the Universe, and Everything.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sin\left(60^\circ\right) = \frac {\sqrt 3} {2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{e}{\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.8652559794&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.8660254038&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sqrt 3&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{2e}{\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.7305119589&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.7320508076&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Same as the above&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|γ (Euler's gamma constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {1} {\sqrt 3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5773502692&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5772156649&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|Euler–Mascheroni constant}} (denoted γ) is a mysterious number describing the relationship between the {{w|Harmonic series (mathematics)|harmonic series}} and the {{w|natural logarithm}}.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Feet in a meter&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {5} {\sqrt[e]\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3.2815481951&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3.280839895&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Exactly 1/0.3048, as the {{w|international foot}} is defined as 0.3048 meters.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sqrt 5&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{2}{e} + \frac32&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2.2357588823&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2.2360679775&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Avogadro's number&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;69^{\pi^\sqrt{5}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.02191201246329 × 10&amp;lt;sup&amp;gt;23&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.02214129 × 10&amp;lt;sup&amp;gt;23&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Also called a mole for shorthand, {{w|Avogadro's number}} is (roughly) the number of individual atoms in 12 grams of pure carbon. Used in basically every application of chemistry. In 2019 the constant was redefined to 6.02214076 × 10&amp;lt;sup&amp;gt;23&amp;lt;/sup&amp;gt;, making the Approximation slightly more correct.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Gravitational constant ''G''&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {1} {e ^ {(\pi-1)^{(\pi+1)}}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.6736110685 × 10&amp;lt;sup&amp;gt;−11&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.67385 × 10&amp;lt;sup&amp;gt;−11&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The universal {{w|gravitational constant}} G is equal to ''Fr''&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;/''Mm'', where ''F'' is the gravitational force between two objects, ''r'' is the distance between them, and ''M'' and ''m'' are their masses.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|''R'' (gas constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;(e + 1) \sqrt 5&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|8.3143309279&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|8.3144622&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|gas constant}} relates energy to temperature in physics, as well as a gas's volume, pressure, temperature and {{w|mole (unit)|molar amount}} (hence the name).&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Proton–electron mass ratio&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;6 \pi^5&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1836.1181087117&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1836.15267246&lt;br /&gt;
|align=&amp;quot;left&amp;quot;| The {{w|proton-to-electron mass ratio}} is the ratio between the rest mass of the proton divided by the rest mass of the electron.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Liters in a {{w|gallon}}&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;3 + \frac{\pi}{4}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3.7853981634&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3.785411784 (exact)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|A U.S. liquid gallon is defined by law as 231 cubic inches&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|''g''&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt; or ''g''&amp;lt;sub&amp;gt;n&amp;lt;/sub&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6 + ln(45)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9.8066624898&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9.80665&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Standard gravity, or standard acceleration due to free fall is the nominal gravitational acceleration of an object in a vacuum near the surface of the Earth. It is defined by standard as 9.80665&amp;amp;nbsp;m/s&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, which is exactly 35.30394&amp;amp;nbsp;km/h/s (about 32.174&amp;amp;nbsp;ft/s&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, or 21.937&amp;amp;nbsp;mph/s). This value was established by the 3rd CGPM (1901, CR 70) and used to define the standard weight of an object as the product of its mass and this nominal acceleration. The acceleration of a body near the surface of the Earth is due to the combined effects of gravity and centrifugal acceleration from rotation of the Earth (but which is small enough to be neglected for most purposes); the total (the apparent gravity) is about 0.5 percent greater at the poles than at the equator.&lt;br /&gt;
&lt;br /&gt;
Randall used a letter ''g'' without a suffix, which can also mean the local acceleration due to local gravity and centrifugal acceleration, which varies depending on one's position on Earth.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Proton–electron mass ratio&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {e^8 - 10} {\phi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1836.1530151398&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1836.15267246&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|φ is the {{w|golden ratio}}, or &amp;lt;math&amp;gt;\textstyle{ \frac{1+\sqrt 5}{2} }&amp;lt;/math&amp;gt;. It has many interesting geometrical properties.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Ruby laser wavelength (meters)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{1}{1200^2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.9&amp;lt;span style=&amp;quot;text-decoration: overline;&amp;quot;&amp;gt;444&amp;lt;/span&amp;gt; × 10&amp;lt;sup&amp;gt;−7&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|~6.943 × 10&amp;lt;sup&amp;gt;−7&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|ruby laser}} wavelength varies because &amp;quot;ruby&amp;quot; is not clearly defined.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Mean Earth radius (meters)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;5^8 6e&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6,370,973.035&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6,371,008.7 (IUGG definition)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|Earth radius#mean radii|mean earth radius}} varies because there is not one single way to make a sphere out of the earth. Randall's value lies within the actual variation of Earth's radius. The International Union of Geodesy and Geophysics (IUGG) defines the mean radius as 2/3 of the equatorial radius (6,378,137.0&amp;amp;nbsp;m) plus 1/3 of the polar radius (6,356,752.3&amp;amp;nbsp;m).&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sqrt 2&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac35 + \frac{\pi}{7-\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.4142200581&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.4142135624&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|There are recurring math jokes along the lines of, &amp;quot;&amp;lt;math&amp;gt;\textstyle{ \frac35 + \frac{\pi}{7-\pi} - \sqrt{2} = 0}&amp;lt;/math&amp;gt;, but your calculator is probably not good enough to compute this correctly&amp;quot;. See also [[217: e to the pi Minus pi]].&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\cos \frac{\pi}{7} + \cos \frac{3\pi}{7} + \cos \frac{5\pi}{7}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac12&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5 (exact)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|This is the exactly correct equation referred to in the note, &amp;quot;Pro tip – Not all of these are wrong&amp;quot;, as shown below and also [http://math.stackexchange.com/questions/140388/how-can-one-prove-cos-pi-7-cos3-pi-7-cos5-pi-7-1-2 here]. If you're still confused, the functions use {{w|radians}}, not {{w|degrees (angle)|degrees}}.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|γ (Euler's gamma constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{e}{3^4} + \frac{e}{5}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5772154006&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5772156649&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|Euler–Mascheroni constant}} (denoted γ) is a mysterious number describing the relationship between the {{w|Harmonic series (mathematics)|harmonic series}} and the {{w|natural logarithm}}.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sqrt 5&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {13+4\pi} {24-4\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2.2360678094&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2.2360679775&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sum_{n=1}^{\infty} \frac{1}{n^n}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\ln(3)^e&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.2912987577&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.2912859971&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Proof===&lt;br /&gt;
&lt;br /&gt;
One of the &amp;quot;approximations&amp;quot; actually is precisely correct: &amp;lt;math&amp;gt;\textstyle{ \cos \frac{\pi}{7} + \cos \frac{3\pi}{7} + \cos \frac{5\pi}{7} = \frac12 }&amp;lt;/math&amp;gt;.  Here is a proof:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\cos \frac{\pi}{7} + \cos \frac{3\pi}{7} + \cos \frac{5\pi}{7}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Multiplying by 1 (or by a number divided by itself) leaves the equation unchanged: &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;= \left( \cos \frac{\pi}{7} + \cos \frac{3\pi}{7} + \cos \frac{5\pi}{7} \right) \frac{2 \sin\frac{\pi}{7}}{2 \sin\frac{\pi}{7}}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The &amp;lt;math&amp;gt;\textstyle{ 2 \sin\frac{\pi}{7} }&amp;lt;/math&amp;gt; on the top of the fraction is multiplied through the original equation:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;= \frac {2 \cos \frac{\pi}{7} \sin\frac{\pi}{7} + 2 \cos \frac{3\pi}{7} \sin\frac{\pi}{7} + 2 \cos \frac{5\pi}{7} \sin\frac{\pi}{7}} {2 \sin\frac{\pi}{7}}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Use the trigonometric identity &amp;lt;math&amp;gt;\textstyle{ 2 \cos A \sin B = \sin (A+B) - \sin(A-B)}&amp;lt;/math&amp;gt; on the second and third terms in the numerator:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\begin{align}&lt;br /&gt;
&amp;amp;= \frac {2 \cos \frac{\pi}{7} \sin \frac{\pi}{7} + \left[\sin \left(\frac{3\pi}{7} + \frac{\pi}{7}\right) - \sin \left(\frac{3\pi}{7} - \frac{\pi}{7}\right) \right] + \left[\sin \left(\frac{5\pi}{7} + \frac{\pi}{7}\right) - \sin \left(\frac{5\pi}{7} - \frac{\pi}{7}\right) \right]} {2 \sin\frac{\pi}{7}} \\&lt;br /&gt;
&amp;amp;= \frac {2 \cos \frac{\pi}{7} \sin \frac{\pi}{7} + \left[\sin \frac{4\pi}{7} - \sin \frac{2\pi}{7} \right] + \left[\sin \frac{6\pi}{7} - \sin \frac{4\pi}{7} \right]} {2 \sin\frac{\pi}{7}}&lt;br /&gt;
\end{align}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Use the trigonometric identity &amp;lt;math&amp;gt;\textstyle{ 2 \cos A \sin A = \sin 2A }&amp;lt;/math&amp;gt; on the first term in the numerator:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\begin{align}&lt;br /&gt;
&amp;amp;= \frac {\sin \frac{2\pi}{7} + \left[\sin \frac{4\pi}{7} - \sin \frac{2\pi}{7} \right] + \left[\sin \frac{6\pi}{7} - \sin \frac{4\pi}{7} \right]} {2 \sin\frac{\pi}{7}} \\&lt;br /&gt;
&amp;amp;= \frac {\sin \frac{6\pi}{7} + \left[\sin \frac{4\pi}{7} - \sin \frac{4\pi}{7} \right] + \left[\sin \frac{2\pi}{7} - \sin \frac{2\pi}{7} \right]} {2 \sin\frac{\pi}{7}} \\&lt;br /&gt;
&amp;amp;= \frac {\sin \frac{6\pi}{7} } {2 \sin\frac{\pi}{7}}&lt;br /&gt;
\end{align}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Noting that &amp;lt;math&amp;gt;\textstyle{\frac{6\pi}{7} + \frac{\pi}{7} = \pi}&amp;lt;/math&amp;gt; and that the sines of supplementary angles (angles that sum to π) are equal:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\begin{align}&lt;br /&gt;
&amp;amp;= \frac {\sin \frac{\pi}{7} } {2 \sin\frac{\pi}{7}} \\&lt;br /&gt;
&amp;amp;= \frac12 \quad \quad \quad \text{Q.E.D.}&lt;br /&gt;
\end{align}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
:'''A table of slightly wrong equations and identities useful for approximations and/or trolling teachers.'''&lt;br /&gt;
:(Found using a mix of trial-and-error, ''Mathematica'', and Robert Munafo's ''Ries'' tool.)&lt;br /&gt;
: All units are SI MKS unless otherwise noted.&lt;br /&gt;
&lt;br /&gt;
:{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot; | Relation:&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Accurate to within:&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | One light-year(m)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 99&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 40&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Earth Surface(m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 69&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 130&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Oceans' volume(m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 9&amp;lt;sup&amp;gt;19&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 70&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Seconds in a year&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 75&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 400&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Seconds in a year (''Rent'' method)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 525,600 x 60&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 1400&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Age of the universe (seconds)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 15&amp;lt;sup&amp;gt;15&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 70&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Planck's constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 1/(30&amp;lt;sup&amp;gt;π&amp;lt;sup&amp;gt;e&amp;lt;/sup&amp;gt;&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 110&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Fine structure constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 1/140&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | [I've had enough of this 137 crap]&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Fundamental charge&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 3/(14 * π&amp;lt;sup&amp;gt;π&amp;lt;sup&amp;gt;π&amp;lt;/sup&amp;gt;&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 500&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|White House Switchboard&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|1 / (e&amp;lt;sup&amp;gt;&amp;lt;sup&amp;gt;π&amp;lt;/sup&amp;gt;√(1 + &amp;lt;sup&amp;gt;(e-1)&amp;lt;/sup&amp;gt;√8)&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Jenny's Constant&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|(7&amp;lt;sup&amp;gt;(e/1 - 1/e)&amp;lt;/sup&amp;gt; - 9) * π&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;3&amp;quot; align=&amp;quot;center&amp;quot;|Intermission:&amp;lt;br /&amp;gt; World Population Estimate&amp;lt;br /&amp;gt; which should stay current&amp;lt;br /&amp;gt; for a decade or two:&amp;lt;br /&amp;gt;&lt;br /&gt;
Take the last two digits of the current year&lt;br /&gt;
&lt;br /&gt;
Example: 20[14] &lt;br /&gt;
&lt;br /&gt;
Subtract the number of leap years since hurricane Katrina&lt;br /&gt;
&lt;br /&gt;
Example: 14 (minus 2008 and 2012) is 12&lt;br /&gt;
&lt;br /&gt;
Add a decimal point&lt;br /&gt;
&lt;br /&gt;
Example: 1.2&lt;br /&gt;
&lt;br /&gt;
Add 6&lt;br /&gt;
&lt;br /&gt;
Example: 6 + 1.2&lt;br /&gt;
&lt;br /&gt;
7.2 = World population in billions.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Version for US population:&lt;br /&gt;
&lt;br /&gt;
Example: 20[14]&lt;br /&gt;
&lt;br /&gt;
Subtract 10&lt;br /&gt;
&lt;br /&gt;
Example: 4&lt;br /&gt;
&lt;br /&gt;
Multiply by 3&lt;br /&gt;
&lt;br /&gt;
Example: 12&lt;br /&gt;
&lt;br /&gt;
Add 10&lt;br /&gt;
&lt;br /&gt;
Example: 3[22] million&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Electron rest energy&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|e/7&amp;lt;sup&amp;gt;16&amp;lt;/sup&amp;gt; J&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 1000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Light-year(miles)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2&amp;lt;sup&amp;gt;(42.42)&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 1000&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|sin(60°) = √3/2 = e/π&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 1000&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|√3 = 2e/π&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 1000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|γ(Euler's gamma constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1/√3&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 4000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Feet in a meter&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|5/(&amp;lt;sup&amp;gt;e&amp;lt;/sup&amp;gt;√π)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 4000&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|√5 = 2/e + 3/2&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 7000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Avogadro's number&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|69&amp;lt;sup&amp;gt;π&amp;lt;sup&amp;gt;√5&amp;lt;/sup&amp;gt;&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 25,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Gravitational constant G&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1 / e&amp;lt;sup&amp;gt;(π - 1)&amp;lt;sup&amp;gt;(π + 1)&amp;lt;/sup&amp;gt;&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 25,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|R (gas constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|(e+1) √5&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 50,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Proton-electron mass ratio&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6*π&amp;lt;sup&amp;gt;5&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 50,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Liters in a gallon&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3 + π/4&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 500,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|g&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6 + ln(45)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 750,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Proton-electron mass ratio&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|(e&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; - 10) / ϕ&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 5,000,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Ruby laser wavelength&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1 / (1200&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|[within actual variation]&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Mean Earth Radius&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|(5&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;)*6e&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|[within actual variation]&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;3&amp;quot; align=&amp;quot;center&amp;quot;|Protip - not all of these are wrong:&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|√2 = 3/5 + π/(7-π)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|cos(π/7) + cos(3π/7) + cos(5π/7) = 1/2&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|γ(Euler's gamma constant) = e/3&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt; + e/5&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|√5 = (13 + 4π) / (24 - 4π)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Σ 1/n&amp;lt;sup&amp;gt;n&amp;lt;/sup&amp;gt; = ln(3)&amp;lt;sup&amp;gt;e&amp;lt;/sup&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
[[Category:Charts]]&lt;br /&gt;
[[Category:Math]]&lt;br /&gt;
[[Category:Physics]]&lt;br /&gt;
[[Category:Protip]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1047:_Approximations&amp;diff=210635</id>
		<title>1047: Approximations</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=1047:_Approximations&amp;diff=210635"/>
				<updated>2021-04-20T21:03:05Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: /* Explanation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 1047&lt;br /&gt;
| date      = April 25, 2012&lt;br /&gt;
| title     = Approximations&lt;br /&gt;
| image     = approximations.png&lt;br /&gt;
| titletext = Two tips: 1) 8675309 is not just prime, it's a twin prime, and 2) if you ever find yourself raising log(anything)^e or taking the pi-th root of anything, set down the marker and back away from the whiteboard; something has gone horribly wrong.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
&lt;br /&gt;
This comic lists some approximations for numbers, most of them mathematical and physical constants, but some of them jokes and cultural references.&lt;br /&gt;
&lt;br /&gt;
Approximations like these are sometimes used as {{w|mnemonic}}s by mathematicians and physicists, though most of Randall's approximations are too convoluted to be useful as mnemonics.  Perhaps the best known mnemonic approximation (though not used here by Randall) is that &amp;quot;π is approximately equal to 22/7&amp;quot;.  Randall does mention (and mock) the common mnemonic among physicists that the {{w|fine structure constant}} is approximately 1/137.  Although Randall gives approximations for the number of seconds in a year, he does not mention the common physicists' mnemonic that it is &amp;quot;π × 10&amp;lt;sup&amp;gt;7&amp;lt;/sup&amp;gt;&amp;quot;, though he later added a statement to the top of the comic page addressing this point. &lt;br /&gt;
&lt;br /&gt;
At the bottom of the comic are expressions involving {{w|transcendental numbers}} (namely π and e) that are tantalizingly close to being exactly true but are not (indeed, they cannot be, due to the nature of transcendental numbers).  Such near-equations were previously discussed in [[217: e to the pi Minus pi]].  One of the entries, though, is a &amp;quot;red herring&amp;quot; that is exactly true.  &lt;br /&gt;
&lt;br /&gt;
Randall says he compiled this table through &amp;quot;a mix of trial-and-error, ''{{w|Mathematica}}'', and Robert Munafo's [http://mrob.com/pub/ries/ Ries] tool.&amp;quot;  &amp;quot;Ries&amp;quot; is a &amp;quot;{{w|Closed-form expression#Conversion from numerical forms|reverse calculator}}&amp;quot; that forms equations matching a given number.&lt;br /&gt;
&lt;br /&gt;
The {{w|world population}} estimate for 2020 is still accurate. The estimate is 7.7 billion, and the population listed at the website census.gov is roughly the same. The current value can be found here: [https://www.census.gov/popclock/ United States Census Bureau - U.S. and World Population Clock]. Nevertheless there are other numbers listed by different sources.&lt;br /&gt;
&lt;br /&gt;
The first part of the title text notes that &amp;quot;Jenny's constant,&amp;quot; which is actually a telephone number referenced in Tommy Tutone's 1982 song {{w|867-5309/Jenny}}, is not only prime but a {{w|twin prime}} because 8675311 is also a prime. Twin primes have always been a subject of interest, because they are comparatively rare, and because it is not yet known whether there are infinitely many of them.  Twin primes were also referenced in [[1310: Goldbach Conjectures]]. &lt;br /&gt;
&lt;br /&gt;
The second part of the title text makes fun of the unusual mathematical operations contained in the comic.  {{w|Pi|π}} is a useful number in many contexts, but it doesn't usually occur anywhere in an exponent. Even when it does, such as with complex numbers, taking the πth root is rarely helpful.  A rare exception is an [http://gosper.org/4%5E1%C3%B7%CF%80.png identity] for &amp;lt;math&amp;gt;4^{1/π}&amp;lt;/math&amp;gt; discovered by Bill Gosper.  Similarly, {{w|e (mathematical constant)|e}} typically appears in the basis of a power (forming the {{w|exponential function}}), not in the exponent. (This is later referenced in [http://what-if.xkcd.com/73/ Lethal Neutrinos]).&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Thing to be approximated:&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Formula proposed&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Resulting approximate value&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Correct value&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Discussion&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|One {{w|light year}} (meters)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|99&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9,227,446,944,279,201&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9,460,730,472,580,800 (exact)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Based on 365.25 days per year (see below). 99&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; and 69&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; are [[487: Numerical Sex Positions|sexual references]]. &lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Earth's surface (m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|69&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|513,798,374,428,641&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|5.10072 × 10&amp;lt;sup&amp;gt;14&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|99&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; and 69&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; are [[487: Numerical Sex Positions|sexual references]].&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Oceans' volume (m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9&amp;lt;sup&amp;gt;19&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1,350,851,717,672,992,089&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.332 × 10&amp;lt;sup&amp;gt;18&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Seconds in a year&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|75&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|31,640,625&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|31,557,600 (Julian calendar), 31,556,952 (Gregorian calendar)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|After this comic was released [[Randall]] got many responses by viewers. So he did add this statement to the top of the comic page:&lt;br /&gt;
&amp;quot;Lots of emails mention the physicist favorite, 1 year = pi × 10&amp;lt;sup&amp;gt;7&amp;lt;/sup&amp;gt; seconds. 75&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt; is a hair more accurate, but it's hard to top 3,141,592's elegance.&amp;quot; π × 10&amp;lt;sup&amp;gt;7&amp;lt;/sup&amp;gt; is nearly equal to 31,415,926.536, and 75&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt; is exactly 31,640,625. Randall's elegance belongs to the number π, but it should be multiplied by the factor of ten.&lt;br /&gt;
&lt;br /&gt;
Using the traditional definitions that a second is 1/60 of a minute, a minute is 1/60 of an hour, and an hour is 1/24 of a day, a 365-day common year is exactly 31,536,000 seconds (the &amp;quot;''Rent'' method&amp;quot; approximation) and the 366-day leap year is 31,622,400 seconds. Until the calendar was reformed by Pope Gregory, there was one leap year in every four years, making the average year 365.25 days, or 31,557,600 seconds. On the current calendar system, there are only 97 leap years in every 400 years, making the average year 365.2425 days, or 31,556,952 seconds. In technical usage, a &amp;quot;second&amp;quot; is now defined based on physical constants, even though the length of a day varies inversely with the changing angular velocity of the earth.  To keep the official time synchronized with the rotation of the earth, a &amp;quot;leap second&amp;quot; is occasionally added, resulting in a slightly longer year.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Seconds in a year (''Rent'' method)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|525,600 × 60&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|31,536,000&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|31,557,600 (Julian calendar), 31,556,952 (Gregorian calendar)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&amp;quot;''Rent'' Method&amp;quot; refers to the song &amp;quot;{{w|Seasons of Love}}&amp;quot; from the musical ''{{w|Rent (musical)|Rent}}''. The song asks, &amp;quot;How do you measure a year?&amp;quot; One line says &amp;quot;525,600 minutes&amp;quot; while most of the rest of the song suggests the best way to measure a year is moments shared with a loved one.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Age of the universe (seconds)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|15&amp;lt;sup&amp;gt;15&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|437,893,890,380,859,375&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|4.354 ± 0.012 × 10&amp;lt;sup&amp;gt;17&amp;lt;/sup&amp;gt; (best estimate; exact value unknown)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|This one will slowly get more accurate as the universe ages.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Planck's constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {1} {30^{\pi^e}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.6849901410 × 10&amp;lt;sup&amp;gt;−34&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.62606957 × 10&amp;lt;sup&amp;gt;−34&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Informally, the {{w|Planck constant}} is the smallest action possible in quantum mechanics.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Fine structure constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{1}{140}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.00&amp;lt;span style=&amp;quot;text-decoration: overline;&amp;quot;&amp;gt;714285&amp;lt;/span&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.0072973525664 (accepted value as of 2014), close to 1/137&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|fine structure constant}} indicates the strength of electromagnetism. It is unitless and around 0.007297, close to 1/137. The joke here is that Randall chose to write 140 as the denominator, when 137 is much closer to reality and just as many digits (although 137 is a less &amp;quot;round&amp;quot; number than 140, and Randall writes in the table that he's &amp;quot;had enough&amp;quot; of it).  At one point the fine structure constant was believed to be exactly the reciprocal of 137, and many people have tried to find a simple formula explaining this (with a pinch of {{w|numerology}} thrown in at times), including the infamous {{w|Arthur Eddington|Sir Arthur &amp;quot;Adding-One&amp;quot; Eddington}} who argued very strenuously that the fine structure constant &amp;quot;should&amp;quot; be 1/136 when that was what the best measurements suggested, and then argued just as strenuously for 1/137 a few years later as measurements improved.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Fundamental charge&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {3} {14 \pi^{\pi^\pi}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.59895121062716 × 10&amp;lt;sup&amp;gt;−19&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.602176565 × 10&amp;lt;sup&amp;gt;−19&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|This is the charge of the proton, symbolized ''e'' for electron (whose charge is actually −''e''. You can blame Benjamin Franklin [[567|for that]].)&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Telephone number for the {{w|White House}} switchboard&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {1} {e^ {\sqrt[\pi] {1 + \sqrt[e-1] 8}} }&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.2024561414&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|202-456-1414&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Jenny's constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\left( 7^ {\frac{e}{1} - \frac{1}{e}} - 9 \right) \pi^2&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|867.5309019&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|867-5309&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|A telephone number referenced in {{w|Tommy Tutone}}'s 1982 song {{w|867-5309/Jenny}}. As mentioned in the title text, the number not only prime but a {{w|twin prime}} because 8675311 is also a prime. &lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|World population estimate (billions)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Equivalent to &amp;lt;math&amp;gt;6 + \frac {\frac34 y + \frac14 (y \operatorname{mod} 4) - 1499} {10}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2005 — 6.5&amp;lt;br&amp;gt;&lt;br /&gt;
2006 — 6.6&amp;lt;br&amp;gt;&lt;br /&gt;
2007 — 6.7&amp;lt;br&amp;gt;&lt;br /&gt;
2008 — 6.7&amp;lt;br&amp;gt;&lt;br /&gt;
2009 — 6.8&amp;lt;br&amp;gt;&lt;br /&gt;
2010 — 6.9&amp;lt;br&amp;gt;&lt;br /&gt;
2011 — 7.0&amp;lt;br&amp;gt;&lt;br /&gt;
2012 — 7.0&amp;lt;br&amp;gt;&lt;br /&gt;
2013 — 7.1&amp;lt;br&amp;gt;&lt;br /&gt;
2014 — 7.2&amp;lt;br&amp;gt;&lt;br /&gt;
2015 — 7.3&amp;lt;br&amp;gt;&lt;br /&gt;
2016 — 7.3&amp;lt;br&amp;gt;&lt;br /&gt;
2017 — 7.4&amp;lt;br&amp;gt;&lt;br /&gt;
2018 — 7.5&amp;lt;br&amp;gt;&lt;br /&gt;
2019 — 7.6&amp;lt;br&amp;gt;&lt;br /&gt;
2020 — 7.6&amp;lt;br&amp;gt;&lt;br /&gt;
2021 — 7.7&amp;lt;br&amp;gt;&lt;br /&gt;
2022 — 7.8&amp;lt;br&amp;gt;&lt;br /&gt;
2023 — 7.9&amp;lt;br&amp;gt;&lt;br /&gt;
2024 — 7.9&amp;lt;br&amp;gt;&lt;br /&gt;
2025 — 8.0&amp;lt;br&amp;gt;&lt;br /&gt;
2026 — 8.1&amp;lt;br&amp;gt;&lt;br /&gt;
2027 — 8.2&amp;lt;br&amp;gt;&lt;br /&gt;
2028 — 8.2&amp;lt;br&amp;gt;&lt;br /&gt;
2029 — 8.3&amp;lt;br&amp;gt;&lt;br /&gt;
2030 — 8.4&amp;lt;br&amp;gt;&lt;br /&gt;
2031 — 8.5&amp;lt;br&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Grows by 75 million every year on average. As of 2021, roughly correct.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|U.S. population estimate (millions)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Equivalent to &amp;lt;math&amp;gt;310 + 3(y - 2010)&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2000 — 280&amp;lt;br&amp;gt;&lt;br /&gt;
2001 — 283&amp;lt;br&amp;gt;&lt;br /&gt;
2002 — 286&amp;lt;br&amp;gt;&lt;br /&gt;
2003 — 289&amp;lt;br&amp;gt;&lt;br /&gt;
2004 — 292&amp;lt;br&amp;gt;&lt;br /&gt;
2005 — 295&amp;lt;br&amp;gt;&lt;br /&gt;
2006 — 298&amp;lt;br&amp;gt;&lt;br /&gt;
2007 — 301&amp;lt;br&amp;gt;&lt;br /&gt;
2008 — 304&amp;lt;br&amp;gt;&lt;br /&gt;
2009 — 307&amp;lt;br&amp;gt;&lt;br /&gt;
2010 — 310&amp;lt;br&amp;gt;&lt;br /&gt;
2011 — 313&amp;lt;br&amp;gt;&lt;br /&gt;
2012 — 316&amp;lt;br&amp;gt;&lt;br /&gt;
2013 — 319&amp;lt;br&amp;gt;&lt;br /&gt;
2014 — 322&amp;lt;br&amp;gt;&lt;br /&gt;
2015 — 325&amp;lt;br&amp;gt;&lt;br /&gt;
2016 — 328&amp;lt;br&amp;gt;&lt;br /&gt;
2017 — 331&amp;lt;br&amp;gt;&lt;br /&gt;
2018 — 334&amp;lt;br&amp;gt;&lt;br /&gt;
2019 — 337&amp;lt;br&amp;gt;&lt;br /&gt;
2020 — 340&amp;lt;br&amp;gt;&lt;br /&gt;
2021 — 343&amp;lt;br&amp;gt;&lt;br /&gt;
2022 — 346&amp;lt;br&amp;gt;&lt;br /&gt;
2023 — 349&amp;lt;br&amp;gt;&lt;br /&gt;
2024 — 352&amp;lt;br&amp;gt;&lt;br /&gt;
2025 — 355&amp;lt;br&amp;gt;&lt;br /&gt;
2026 — 358&amp;lt;br&amp;gt;&lt;br /&gt;
2027 — 361&amp;lt;br&amp;gt;&lt;br /&gt;
2028 — 364&amp;lt;br&amp;gt;&lt;br /&gt;
2029 — 367&amp;lt;br&amp;gt;&lt;br /&gt;
2030 — 370&amp;lt;br&amp;gt;&lt;br /&gt;
2031 — 373&amp;lt;br&amp;gt;&lt;br /&gt;
2032 — 376&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Grows by 3 million each year. As of 2021 the actual number is ~13 million smaller.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Electron rest energy (joules)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {e} {7^{16}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|8.17948276564429 × 10&amp;lt;sup&amp;gt;−14&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|8.18710438 × 10&amp;lt;sup&amp;gt;−14&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Light year (miles)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2&amp;lt;sup&amp;gt;42.42&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|5,884,267,614,436.97&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|5,878,625,373,183.61 = 9,460,730,472,580,800 (meters in a light-year, by definition) / 1609.344 (meters in a mile)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|{{w|42 (number)|42}} is, according to {{w|Douglas Adams}}' ''{{w|The Hitchhiker's Guide to the Galaxy}}'', the answer to the Ultimate Question of Life, the Universe, and Everything.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sin\left(60^\circ\right) = \frac {\sqrt 3} {2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{e}{\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.8652559794&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.8660254038&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sqrt 3&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{2e}{\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.7305119589&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.7320508076&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Same as the above&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|γ (Euler's gamma constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {1} {\sqrt 3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5773502692&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5772156649&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|Euler–Mascheroni constant}} (denoted γ) is a mysterious number describing the relationship between the {{w|Harmonic series (mathematics)|harmonic series}} and the {{w|natural logarithm}}.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Feet in a meter&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {5} {\sqrt[e]\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3.2815481951&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3.280839895&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Exactly 1/0.3048, as the {{w|international foot}} is defined as 0.3048 meters.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sqrt 5&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{2}{e} + \frac32&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2.2357588823&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2.2360679775&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Avogadro's number&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;69^{\pi^\sqrt{5}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.02191201246329 × 10&amp;lt;sup&amp;gt;23&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.02214129 × 10&amp;lt;sup&amp;gt;23&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Also called a mole for shorthand, {{w|Avogadro's number}} is (roughly) the number of individual atoms in 12 grams of pure carbon. Used in basically every application of chemistry. In 2019 the constant was redefined to 6.02214076 × 10&amp;lt;sup&amp;gt;23&amp;lt;/sup&amp;gt;, making the Approximation slightly more correct.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Gravitational constant ''G''&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {1} {e ^ {(\pi-1)^{(\pi+1)}}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.6736110685 × 10&amp;lt;sup&amp;gt;−11&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.67385 × 10&amp;lt;sup&amp;gt;−11&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The universal {{w|gravitational constant}} G is equal to ''Fr''&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;/''Mm'', where ''F'' is the gravitational force between two objects, ''r'' is the distance between them, and ''M'' and ''m'' are their masses.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|''R'' (gas constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;(e + 1) \sqrt 5&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|8.3143309279&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|8.3144622&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|gas constant}} relates energy to temperature in physics, as well as a gas's volume, pressure, temperature and {{w|mole (unit)|molar amount}} (hence the name).&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Proton–electron mass ratio&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;6 \pi^5&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1836.1181087117&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1836.15267246&lt;br /&gt;
|align=&amp;quot;left&amp;quot;| The {{w|proton-to-electron mass ratio}} is the ratio between the rest mass of the proton divided by the rest mass of the electron.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Liters in a {{w|gallon}}&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;3 + \frac{\pi}{4}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3.7853981634&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3.785411784 (exact)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|A U.S. liquid gallon is defined by law as 231 cubic inches&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|''g''&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt; or ''g''&amp;lt;sub&amp;gt;n&amp;lt;/sub&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6 + ln(45)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9.8066624898&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|9.80665&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|Standard gravity, or standard acceleration due to free fall is the nominal gravitational acceleration of an object in a vacuum near the surface of the Earth. It is defined by standard as 9.80665&amp;amp;nbsp;m/s&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, which is exactly 35.30394&amp;amp;nbsp;km/h/s (about 32.174&amp;amp;nbsp;ft/s&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, or 21.937&amp;amp;nbsp;mph/s). This value was established by the 3rd CGPM (1901, CR 70) and used to define the standard weight of an object as the product of its mass and this nominal acceleration. The acceleration of a body near the surface of the Earth is due to the combined effects of gravity and centrifugal acceleration from rotation of the Earth (but which is small enough to be neglected for most purposes); the total (the apparent gravity) is about 0.5 percent greater at the poles than at the equator.&lt;br /&gt;
&lt;br /&gt;
Randall used a letter ''g'' without a suffix, which can also mean the local acceleration due to local gravity and centrifugal acceleration, which varies depending on one's position on Earth.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Proton–electron mass ratio&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {e^8 - 10} {\phi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1836.1530151398&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1836.15267246&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|φ is the {{w|golden ratio}}, or &amp;lt;math&amp;gt;\textstyle{ \frac{1+\sqrt 5}{2} }&amp;lt;/math&amp;gt;. It has many interesting geometrical properties.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Ruby laser wavelength (meters)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{1}{1200^2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6.9&amp;lt;span style=&amp;quot;text-decoration: overline;&amp;quot;&amp;gt;444&amp;lt;/span&amp;gt; × 10&amp;lt;sup&amp;gt;−7&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|~6.943 × 10&amp;lt;sup&amp;gt;−7&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|ruby laser}} wavelength varies because &amp;quot;ruby&amp;quot; is not clearly defined.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Mean Earth radius (meters)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;5^8 6e&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6,370,973.035&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6,371,008.7 (IUGG definition)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|Earth radius#mean radii|mean earth radius}} varies because there is not one single way to make a sphere out of the earth. Randall's value lies within the actual variation of Earth's radius. The International Union of Geodesy and Geophysics (IUGG) defines the mean radius as 2/3 of the equatorial radius (6,378,137.0&amp;amp;nbsp;m) plus 1/3 of the polar radius (6,356,752.3&amp;amp;nbsp;m).&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sqrt 2&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac35 + \frac{\pi}{7-\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.4142200581&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.4142135624&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|There are recurring math jokes along the lines of, &amp;quot;&amp;lt;math&amp;gt;\textstyle{ \frac35 + \frac{\pi}{7-\pi} - \sqrt{2} = 0}&amp;lt;/math&amp;gt;, but your calculator is probably not good enough to compute this correctly&amp;quot;. See also [[217: e to the pi Minus pi]].&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\cos \frac{\pi}{7} + \cos \frac{3\pi}{7} + \cos \frac{5\pi}{7}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac12&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5 (exact)&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|This is the exactly correct equation referred to in the note, &amp;quot;Pro tip – Not all of these are wrong&amp;quot;, as shown below and also [http://math.stackexchange.com/questions/140388/how-can-one-prove-cos-pi-7-cos3-pi-7-cos5-pi-7-1-2 here]. If you're still confused, the functions use {{w|radians}}, not {{w|degrees (angle)|degrees}}.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|γ (Euler's gamma constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac{e}{3^4} + \frac{e}{5}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5772154006&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|0.5772156649&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|The {{w|Euler–Mascheroni constant}} (denoted γ) is a mysterious number describing the relationship between the {{w|Harmonic series (mathematics)|harmonic series}} and the {{w|natural logarithm}}.&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sqrt 5&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\frac {13+4\pi} {24-4\pi}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2.2360678094&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2.2360679775&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\sum_{n=1}^{\infty} \frac{1}{n^n}&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|&amp;lt;math&amp;gt;\ln(3)^e&amp;lt;/math&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.2912987577&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1.2912859971&lt;br /&gt;
|align=&amp;quot;left&amp;quot;|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Proof===&lt;br /&gt;
&lt;br /&gt;
One of the &amp;quot;approximations&amp;quot; actually is precisely correct: &amp;lt;math&amp;gt;\textstyle{ \cos \frac{\pi}{7} + \cos \frac{3\pi}{7} + \cos \frac{5\pi}{7} = \frac12 }&amp;lt;/math&amp;gt;.  Here is a proof:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\cos \frac{\pi}{7} + \cos \frac{3\pi}{7} + \cos \frac{5\pi}{7}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Multiplying by 1 (or by a number divided by itself) leaves the equation unchanged: &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;= \left( \cos \frac{\pi}{7} + \cos \frac{3\pi}{7} + \cos \frac{5\pi}{7} \right) \frac{2 \sin\frac{\pi}{7}}{2 \sin\frac{\pi}{7}}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The &amp;lt;math&amp;gt;\textstyle{ 2 \sin\frac{\pi}{7} }&amp;lt;/math&amp;gt; on the top of the fraction is multiplied through the original equation:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;= \frac {2 \cos \frac{\pi}{7} \sin\frac{\pi}{7} + 2 \cos \frac{3\pi}{7} \sin\frac{\pi}{7} + 2 \cos \frac{5\pi}{7} \sin\frac{\pi}{7}} {2 \sin\frac{\pi}{7}}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Use the trigonometric identity &amp;lt;math&amp;gt;\textstyle{ 2 \cos A \sin B = \sin (A+B) - \sin(A-B)}&amp;lt;/math&amp;gt; on the second and third terms in the numerator:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\begin{align}&lt;br /&gt;
&amp;amp;= \frac {2 \cos \frac{\pi}{7} \sin \frac{\pi}{7} + \left[\sin \left(\frac{3\pi}{7} + \frac{\pi}{7}\right) - \sin \left(\frac{3\pi}{7} - \frac{\pi}{7}\right) \right] + \left[\sin \left(\frac{5\pi}{7} + \frac{\pi}{7}\right) - \sin \left(\frac{5\pi}{7} - \frac{\pi}{7}\right) \right]} {2 \sin\frac{\pi}{7}} \\&lt;br /&gt;
&amp;amp;= \frac {2 \cos \frac{\pi}{7} \sin \frac{\pi}{7} + \left[\sin \frac{4\pi}{7} - \sin \frac{2\pi}{7} \right] + \left[\sin \frac{6\pi}{7} - \sin \frac{4\pi}{7} \right]} {2 \sin\frac{\pi}{7}}&lt;br /&gt;
\end{align}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Use the trigonometric identity &amp;lt;math&amp;gt;\textstyle{ 2 \cos A \sin A = \sin 2A }&amp;lt;/math&amp;gt; on the first term in the numerator:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\begin{align}&lt;br /&gt;
&amp;amp;= \frac {\sin \frac{2\pi}{7} + \left[\sin \frac{4\pi}{7} - \sin \frac{2\pi}{7} \right] + \left[\sin \frac{6\pi}{7} - \sin \frac{4\pi}{7} \right]} {2 \sin\frac{\pi}{7}} \\&lt;br /&gt;
&amp;amp;= \frac {\sin \frac{6\pi}{7} + \left[\sin \frac{4\pi}{7} - \sin \frac{4\pi}{7} \right] + \left[\sin \frac{2\pi}{7} - \sin \frac{2\pi}{7} \right]} {2 \sin\frac{\pi}{7}} \\&lt;br /&gt;
&amp;amp;= \frac {\sin \frac{6\pi}{7} } {2 \sin\frac{\pi}{7}}&lt;br /&gt;
\end{align}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Noting that &amp;lt;math&amp;gt;\textstyle{\frac{6\pi}{7} + \frac{\pi}{7} = \pi}&amp;lt;/math&amp;gt; and that the sines of supplementary angles (angles that sum to π) are equal:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\begin{align}&lt;br /&gt;
&amp;amp;= \frac {\sin \frac{\pi}{7} } {2 \sin\frac{\pi}{7}} \\&lt;br /&gt;
&amp;amp;= \frac12 \quad \quad \quad \text{Q.E.D.}&lt;br /&gt;
\end{align}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
:'''A table of slightly wrong equations and identities useful for approximations and/or trolling teachers.'''&lt;br /&gt;
:(Found using a mix of trial-and-error, ''Mathematica'', and Robert Munafo's ''Ries'' tool.)&lt;br /&gt;
: All units are SI MKS unless otherwise noted.&lt;br /&gt;
&lt;br /&gt;
:{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot; | Relation:&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Accurate to within:&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | One light-year(m)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 99&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 40&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Earth Surface(m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 69&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 130&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Oceans' volume(m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 9&amp;lt;sup&amp;gt;19&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 70&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Seconds in a year&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 75&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 400&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Seconds in a year (''Rent'' method)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 525,600 x 60&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 1400&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Age of the universe (seconds)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 15&amp;lt;sup&amp;gt;15&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 70&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Planck's constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 1/(30&amp;lt;sup&amp;gt;π&amp;lt;sup&amp;gt;e&amp;lt;/sup&amp;gt;&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 110&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Fine structure constant&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 1/140&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | [I've had enough of this 137 crap]&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | Fundamental charge&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | 3/(14 * π&amp;lt;sup&amp;gt;π&amp;lt;sup&amp;gt;π&amp;lt;/sup&amp;gt;&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot; | one part in 500&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|White House Switchboard&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|1 / (e&amp;lt;sup&amp;gt;&amp;lt;sup&amp;gt;π&amp;lt;/sup&amp;gt;√(1 + &amp;lt;sup&amp;gt;(e-1)&amp;lt;/sup&amp;gt;√8)&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Jenny's Constant&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|(7&amp;lt;sup&amp;gt;(e/1 - 1/e)&amp;lt;/sup&amp;gt; - 9) * π&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;3&amp;quot; align=&amp;quot;center&amp;quot;|Intermission:&amp;lt;br /&amp;gt; World Population Estimate&amp;lt;br /&amp;gt; which should stay current&amp;lt;br /&amp;gt; for a decade or two:&amp;lt;br /&amp;gt;&lt;br /&gt;
Take the last two digits of the current year&lt;br /&gt;
&lt;br /&gt;
Example: 20[14] &lt;br /&gt;
&lt;br /&gt;
Subtract the number of leap years since hurricane Katrina&lt;br /&gt;
&lt;br /&gt;
Example: 14 (minus 2008 and 2012) is 12&lt;br /&gt;
&lt;br /&gt;
Add a decimal point&lt;br /&gt;
&lt;br /&gt;
Example: 1.2&lt;br /&gt;
&lt;br /&gt;
Add 6&lt;br /&gt;
&lt;br /&gt;
Example: 6 + 1.2&lt;br /&gt;
&lt;br /&gt;
7.2 = World population in billions.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Version for US population:&lt;br /&gt;
&lt;br /&gt;
Example: 20[14]&lt;br /&gt;
&lt;br /&gt;
Subtract 10&lt;br /&gt;
&lt;br /&gt;
Example: 4&lt;br /&gt;
&lt;br /&gt;
Multiply by 3&lt;br /&gt;
&lt;br /&gt;
Example: 12&lt;br /&gt;
&lt;br /&gt;
Add 10&lt;br /&gt;
&lt;br /&gt;
Example: 3[22] million&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Electron rest energy&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|e/7&amp;lt;sup&amp;gt;16&amp;lt;/sup&amp;gt; J&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 1000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Light-year(miles)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|2&amp;lt;sup&amp;gt;(42.42)&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 1000&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|sin(60°) = √3/2 = e/π&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 1000&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|√3 = 2e/π&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 1000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|γ(Euler's gamma constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1/√3&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 4000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Feet in a meter&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|5/(&amp;lt;sup&amp;gt;e&amp;lt;/sup&amp;gt;√π)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 4000&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|√5 = 2/e + 3/2&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 7000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Avogadro's number&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|69&amp;lt;sup&amp;gt;π&amp;lt;sup&amp;gt;√5&amp;lt;/sup&amp;gt;&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 25,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Gravitational constant G&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1 / e&amp;lt;sup&amp;gt;(π - 1)&amp;lt;sup&amp;gt;(π + 1)&amp;lt;/sup&amp;gt;&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 25,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|R (gas constant)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|(e+1) √5&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 50,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Proton-electron mass ratio&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6*π&amp;lt;sup&amp;gt;5&amp;lt;/sup&amp;gt;&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 50,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Liters in a gallon&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|3 + π/4&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 500,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|g&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|6 + ln(45)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 750,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Proton-electron mass ratio&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|(e&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt; - 10) / ϕ&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|one part in 5,000,000&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Ruby laser wavelength&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|1 / (1200&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|[within actual variation]&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Mean Earth Radius&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|(5&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;)*6e&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|[within actual variation]&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;3&amp;quot; align=&amp;quot;center&amp;quot;|Protip - not all of these are wrong:&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot; align=&amp;quot;center&amp;quot;|√2 = 3/5 + π/(7-π)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|cos(π/7) + cos(3π/7) + cos(5π/7) = 1/2&lt;br /&gt;
|-&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|γ(Euler's gamma constant) = e/3&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt; + e/5&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|√5 = (13 + 4π) / (24 - 4π)&lt;br /&gt;
|align=&amp;quot;center&amp;quot;|Σ 1/n&amp;lt;sup&amp;gt;n&amp;lt;/sup&amp;gt; = ln(3)&amp;lt;sup&amp;gt;e&amp;lt;/sup&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
[[Category:Charts]]&lt;br /&gt;
[[Category:Math]]&lt;br /&gt;
[[Category:Physics]]&lt;br /&gt;
[[Category:Protip]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:1695:_Code_Quality_2&amp;diff=207738</id>
		<title>Talk:1695: Code Quality 2</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:1695:_Code_Quality_2&amp;diff=207738"/>
				<updated>2021-03-12T00:10:19Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: Another joke, based on 162.158.68.137's comment&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~--&amp;gt;&lt;br /&gt;
Edward Estin Cummings was a poet (pseudonym e e cummings) who used capitalization, punctuation, and line breaks in unconventional ways.  When a new user creates an account that duplicates an existing user name, many websites will suggest a user name with the user's first name followed by a string of digits.  [[User:The Dining Logician|The Dining Logician]] ([[User talk:The Dining Logician|talk]]) 14:42, 17 June 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
I really love these ones :) I hope there will be a part 3. Can we please make a contest for these?[[Special:Contributions/162.158.83.246|162.158.83.246]] 15:22, 17 June 2016 (UTC)&lt;br /&gt;
:Yes please! How about:&lt;br /&gt;
&amp;lt;nowiki&amp;gt;&amp;quot;It's as if you used a kaleidoscope while following a style-guide written in Rongorongo &amp;amp; applied a pseudo-random number generator to the Unicode table for all your regular expressions. Also, you're not supposed to use line-breaks to draw letters using pipe symbols when defining your variables.&amp;quot;&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
(A nice [https://en.wikipedia.org/wiki/Boustrophedon#Reverse_boustrophedon example of the Reverse Boustrophedon format used in Rongorongo])&lt;br /&gt;
[[Special:Contributions/162.158.68.137|162.158.68.137]] 22:05, 17 June 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
:My brother made up this one: &amp;quot;It's as if you ran a sponge through a punch-card reader.&amp;quot;  --[[Special:Contributions/172.69.42.50|172.69.42.50]] 00:10, 12 March 2021 (UTC)&lt;br /&gt;
&lt;br /&gt;
I know Ponytail is female but I keep reading her voice as TJ Miller's character from the movie Deadpool.--[[User:R0hrshach|R0hrshach]] ([[User talk:R0hrshach|talk]]) 15:45, 17 June 2016 (UTC)&lt;br /&gt;
:Are you also a fan of Dr. Mrs. The Monarch, from Venture Bros? [[Special:Contributions/162.158.68.137|162.158.68.137]] 22:05, 17 June 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
&amp;quot;This is further compounded by Ponytail's suggestion that Cueball made rampant use of JavaScript reserved words in his declarations, which is strictly forbidden by the language.&amp;quot;  I don't think Ponytail made any such suggestion.  I think all Ponytail is suggesting is that reserved words occur more often than they would in an ordinary scrabble game.  A &amp;quot;house rule&amp;quot; giving triple points for using particular words would explain their high frequency.&lt;br /&gt;
&lt;br /&gt;
Of course in pretty much any program reserved words do occur with high frequency, it's hard to write without them.  There is also heavy overlap in the list of reserved words in different languages, so that the program might not be in javascript.  A typical C program uses lots of javascript reserved words.--[[Special:Contributions/108.162.218.59|108.162.218.59]] 16:12, 17 June 2016 (UTC)&lt;br /&gt;
:I agree, and as &amp;quot;the program runs fine for now&amp;quot; it appears to be at the very least a syntactically correct program. --[[Special:Contributions/141.101.104.76|141.101.104.76]] 21:17, 17 June 2016 (UTC)&lt;br /&gt;
:I also agree that it's highly speculative to assume that Cueball's use of reserved words is necessarily erroneous; However, that may be the funnier interpretation, as it indicates an even higher level of improper usage. [[Special:Contributions/162.158.68.137|162.158.68.137]] 22:05, 17 June 2016 (UTC)&lt;br /&gt;
:I interpreted it quite differently: that he uses variable names very similar to reserved words. For example, &amp;quot;stririg&amp;quot; or &amp;quot;strlng&amp;quot; for a string. [[Special:Contributions/173.245.52.70|173.245.52.70]] 11:12, 19 June 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
Do we really need the &amp;quot;funny bus crash&amp;quot; photos in the transcript?[[Special:Contributions/141.101.98.123|141.101.98.123]] 20:01, 17 June 2016 (UTC)&lt;br /&gt;
:&amp;quot;Funny&amp;quot; bus crash is redundant, in my antisocial opinion. [[Special:Contributions/162.158.68.137|162.158.68.137]] 22:05, 17 June 2016 (UTC)&lt;br /&gt;
::No we do not need them. Feel free to delete them. They are though not in the transcript (where they would for sure not belong). The transcript shoudl genreally have no links. They are in the explanation above the transcript as is also the case with the crash photos. --[[User:Kynde|Kynde]] ([[User talk:Kynde|talk]]) 14:43, 18 June 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
&amp;quot;It works fine for now&amp;quot; is the reason we still have such a hard time figuring out genetics.[[Special:Contributions/172.68.35.83|172.68.35.83]] 05:57, 18 June 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
Somehow the &amp;quot;OCR on the photo of a ''Scrabble'' board&amp;quot; line reminded me of [[1685: Patch]]. [[User:Tepples|Tepples]] ([[User talk:Tepples|talk]]) 22:43, 18 June 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
Much shorter insult, courtesy StackOverflow: &amp;quot;The garbage collector is broken&amp;quot;.&lt;br /&gt;
&amp;quot;What? Impossible!&amp;quot; &amp;quot;Surely. Your program is still there.&amp;quot; [[Special:Contributions/162.158.201.84|162.158.201.84]] 08:37, 20 June 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
;&amp;quot;Navy weather forecast&amp;quot;&lt;br /&gt;
The link given in the explanation to a navy weather forecast is to a graphical weather forecast product. This doesn't make sense, since Randall was clearly referring to a textual weather forecast product. I believe the type of weather forecast Randall intended to reference is an aviation weather forecast, which is textual, not graphical, and is indecipherable to a lay person (pilots must learn how to read them during their training). An example of such a forecast is the blue text on [https://www.aviationweather.gov/static/help/taf-decode.php this page explaining how to decode them] —[[User:SaxTeacher|SaxTeacher]] [[User talk:SaxTeacher|&amp;lt;small&amp;gt;(talk)&amp;lt;/small&amp;gt;]] 14:14, 21 June 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
In the 1st panel her hands are on desk but others are on the drawer underneath :) [[Special:Contributions/108.162.245.50|108.162.245.50]] 20:36, 14 November 2016 (UTC)&lt;br /&gt;
&lt;br /&gt;
That's easily explained away as she is also hunched over in panel 1 trying to read his code. Holding onto the desk like that would make sense as she would not currently be using her hands to type and correct things (not that it's possible to correct Cueball's code). {{unsigned ip|108.162.241.118}}&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2416:_Trash_Compactor_Party&amp;diff=205330</id>
		<title>2416: Trash Compactor Party</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2416:_Trash_Compactor_Party&amp;diff=205330"/>
				<updated>2021-01-26T01:12:47Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: /* Explanation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2416&lt;br /&gt;
| date      = January 26, 2021&lt;br /&gt;
| title     = Trash Compactor Party&lt;br /&gt;
| image     = trash_compactor_party.png&lt;br /&gt;
| titletext = What an incredible smell you've discovered.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
{{incomplete|Created by a FORMER SOCIAL-DISTANCER. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}}&lt;br /&gt;
Randall has gotten tired of social distancing and wants to do the exact opposite when he can. The exact opposite of social distancing would be being crushed together by some sort of compactor.&lt;br /&gt;
&lt;br /&gt;
Cueball and Megan are trying to push the walls of the trash compactor back in order to prevent it from pushing them closer to other people.&lt;br /&gt;
&lt;br /&gt;
The title text references a scene from Star Wars IV which also takes place in a trash compactor. As in the comic, the characters are not enthused about being pushed ever closer together, and this is one of Han Solo's quips as they seek to push back on the walls before being crushed.&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;
{{comic discussion}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Comics featuring Megan]]&lt;br /&gt;
[[Category:Comics featuring Science Girl]]&lt;br /&gt;
[[Category:Comics featuring White Hat]]&lt;br /&gt;
[[Category:Comics featuring Ponytail]]&lt;br /&gt;
[[Category:Comics featuring Cueball]]&lt;br /&gt;
[[Category:COVID-19]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2379:_Probability_Comparisons&amp;diff=200877</id>
		<title>2379: Probability Comparisons</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2379:_Probability_Comparisons&amp;diff=200877"/>
				<updated>2020-10-31T13:12:27Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2379&lt;br /&gt;
| date      = October 30, 2020&lt;br /&gt;
| title     = Probability Comparisons&lt;br /&gt;
| image     = probability comparisons new.png&lt;br /&gt;
| titletext = Call me, MAYBE.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
{{incomplete|Created by LEBRON JAMES THROWING M&amp;amp;Ms AT A KEYBOARD. The table for the explanations of the chances isn't complete. Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
This is a list of probabilities for different events. There are a number of recurring themes, of which the most common are free throws (13 entries), birthdays (12), dice (12, split about evenly between d6 and d20 dies), M&amp;amp;M candies (11), playing cards (9), NBA basketball mid-game victory predictions (9), Scrabble tiles (7), coins (7), white Christmases (7), and the NBA players Stephen Curry and Lebron James (7 each). &lt;br /&gt;
&lt;br /&gt;
Themes are variously repeated and combined, for humorous effect. For instance, there are entries for both the probability that St. Louis will have a white Christmas (21%) and that it will not (79%). Also given is the 40% probability that a random Scrabble tile will contain a letter from the name &amp;quot;Steph Curry&amp;quot;. &lt;br /&gt;
&lt;br /&gt;
There are 80 items in the list, the last two of which devolve into absurdity - perhaps from the stress of preparing the other 78 entries.&lt;br /&gt;
&lt;br /&gt;
The probabilities are calculated from [https://xkcd.com/2379/sources/ these sources], as mentioned in the bottom left corner.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable sortable&amp;quot;&lt;br /&gt;
! Odds&lt;br /&gt;
! Text&lt;br /&gt;
! Explanation&lt;br /&gt;
|-&lt;br /&gt;
| 0.01%&lt;br /&gt;
| You guess the last four digits of someone's {{w|Social Security Number}} on the first try&lt;br /&gt;
|(1/10)&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt; = 0.0001, or 0.01%&lt;br /&gt;
|-&lt;br /&gt;
| 0.1%&lt;br /&gt;
| Three randomly chosen people are all left-handed&lt;br /&gt;
| The chances of being left handed is about 10%, and 10%&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt; = 0.1%.&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;2&amp;quot; | 0.2%&lt;br /&gt;
| You draw 2 random {{w|Scrabble}} tiles and get M and M&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| You draw 3 random {{w|M&amp;amp;Ms}} and they're all red&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 0.3%&lt;br /&gt;
| You guess someone's birthday in one try.&lt;br /&gt;
| 1/365 ≈ 0.27%.&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;2&amp;quot; | 0.5%&lt;br /&gt;
| An {{w|NBA}} team down by 30 at halftime wins&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| You get 4 M&amp;amp;Ms and they're all brown or yellow&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;2&amp;quot; | 1%&lt;br /&gt;
| {{w|Steph Curry}} gets two free throws and misses both&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|{{w|LeBron James}} guesses your birthday, if each guess costs one free throw and he loses if he misses&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;2&amp;quot; | 1.5%&lt;br /&gt;
| You get two M&amp;amp;Ms and they're both red&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| You share a birthday with a {{w|Backstreet Boys|Backstreet Boy}}&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 2%&lt;br /&gt;
| You guess someone's card on the first try&lt;br /&gt;
| There are 52 cards in a normal deck of cards (excluding jokers), which is approximately 0.019 (2%).&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;2&amp;quot;| 3%&lt;br /&gt;
| You guess 5 coin tosses and get them all right&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| Steph Curry wins that birthday free throw game&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;3&amp;quot;| 4%&lt;br /&gt;
| You sweep a 3-game {{w|rock paper scissors}} series&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| {{w|Portland, Oregon}} has a {{w|White Christmas (weather)|white Christmas}}&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| You share a birthday with two {{w|US Senator}}s&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;2&amp;quot;| 5%&lt;br /&gt;
| An NBA team down 20 at halftime wins&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| You roll a natural 20&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 6%&lt;br /&gt;
| You correctly guess someone's card given 3 tries&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 7%&lt;br /&gt;
| LeBron James gets two free throws and misses both&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 8%&lt;br /&gt;
| You correctly guess someone's card given 4 tries&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 9%&lt;br /&gt;
| Steph Curry misses a free throw&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;2&amp;quot;|10%&lt;br /&gt;
| You draw 5 cards and get the Ace of Spades&lt;br /&gt;
| There are 52 cards in a normal deck of cards (excluding jokers), and the Ace of Spades is one of them. The chances of getting the card is 1 - 51/52 * 50/51 * 49/50 * 48/49 * 47/48 which is approximately 0.09 (9%), which roughly checks out. &amp;lt;!-- make into math format --&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| There's a {{w|Moment magnitude scale|magnitude}} 8+ earthquake in the next month&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 11%&lt;br /&gt;
| You sweep a 2-game rock paper scissors series&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;3&amp;quot;|12%&lt;br /&gt;
| A randomly-chosen American lives in {{w|California}}&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| You correctly guess someone's card given 6 tries&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| You share a birthday with a {{w|US President}}&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;3&amp;quot;|13%&lt;br /&gt;
| A {{w|Dice#Polyhedral_dice|d6}} beats a {{w|Dice#Polyhedral_dice|d20}}&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| An NBA team down 10 going into the 4th quarter wins&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| You pull one M&amp;amp;M from a bag and it's red &lt;br /&gt;
&amp;lt;!-- TODO many entries missing --&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| 66%&lt;br /&gt;
| A randomly chosen movie from the main Lord of the Rings trilogy has “of the” in the title twice&lt;br /&gt;
| The titles are:&lt;br /&gt;
* ''The Lord '''of the''' Rings: The Fellowship '''of the''' Ring''&lt;br /&gt;
* ''The Lord '''of the''' Rings: The Two Towers''&lt;br /&gt;
* ''The Lord '''of the''' Rings: The Return '''of the''' King''&lt;br /&gt;
All of them have “of the” at least once, in “The Lord of the Rings”, but only the first and third have it twice, and 2/3 ≈ 66%.&lt;br /&gt;
&amp;lt;!-- TODO many entries missing --&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| 90%&lt;br /&gt;
| Someone fails to guess your card given 5 tries&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;2&amp;quot;| 91%&lt;br /&gt;
| You incorrectly guess that someone was born in August&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| Steph Curry makes a free throw&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 92%&lt;br /&gt;
| You guess someone's birth month at random and are wrong&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 93%&lt;br /&gt;
| Lebron James makes a free throw given two tries&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 94%&lt;br /&gt;
| Someone fails to guess your card given 3 tries&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 95%&lt;br /&gt;
| An NBA team wins when they're up 20 at halftime&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 96%&lt;br /&gt;
| Someone fails to guess your card given 2 tries&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 97%&lt;br /&gt;
| You try to guess 5 coin tosses and fail&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 98%&lt;br /&gt;
| You incorrectly guess someone's birthday is this week&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 98.5%&lt;br /&gt;
| An NBA team up 15 points with 8 minutes left wins&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 99%&lt;br /&gt;
| Steph Curry makes a free throw given two tries&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 99.5%&lt;br /&gt;
| An NBA team that's up by 30 points at halftime wins&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 99.7%&lt;br /&gt;
| You guess someone's birthday at random and are wrong&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 99.8%&lt;br /&gt;
| There's not a {{w|Moment magnitude scale|magnitude}} 8 quake in {{w|California}} next year&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 99.9%&lt;br /&gt;
| A random group of three people contains a right-hander&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 99.99%&lt;br /&gt;
| You incorrectly guess the last four digits of someone's social security number&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 99.9999999999999995%&lt;br /&gt;
| You pick up a phone, dial a random 10-digit number, and say 'Hello Barack Obama, there's just been a {{w|Moment magnitude scale|magnitude}} 8 earthquake in {{w|California}}!&amp;quot; and are wrong&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
| 0.00000001%&lt;br /&gt;
| You add &amp;quot;Hang on, this is big — I'm going to loop in Carly Rae Jepsen&amp;quot;, dial another random 10-digit number, and she picks up&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The title text refers to the song {{w|Call Me Maybe}} by Carly Rae Jepsen (cited twice in the table). &amp;quot;MAYBE&amp;quot; is emphasized because the probability of getting her phone number correct, as in the last item in the list, is very low.&lt;br /&gt;
&lt;br /&gt;
==Trivia==&lt;br /&gt;
In the original comic, &amp;quot;outside&amp;quot; in the 88% probability section is spelled incorrectly as &amp;quot;outide&amp;quot;.&lt;br /&gt;
==Transcript==&lt;br /&gt;
{{incomplete transcript|Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
'''PROBABILITY COMPARISONS'''&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
[[Category:Statistics]]&lt;br /&gt;
[[Category:Comics featuring real people]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2378:_Fall_Back&amp;diff=200801</id>
		<title>Talk:2378: Fall Back</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2378:_Fall_Back&amp;diff=200801"/>
				<updated>2020-10-29T22:02:09Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: Added response to prior post and additional commentary on sad state of everything being political instead of people ignoring politics and talking to their neighbors to realize most people are normal.&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;
Ah, that American thing. Late to The Great War, late to WW2, every year late turning the clocks back in '''autumn'''... ;) &lt;br /&gt;
(Seriously, though - at least under xkcd terms - surely [[320|2''9''-hour]] days.) [[Special:Contributions/162.158.159.32|162.158.159.32]] 02:02, 29 October 2020 (UTC)&lt;br /&gt;
:That schedule doesn't change the length of the day, though, just the sleep cycle to accommodate 20 hours of wakefulness. [[User:OhFFS|OhFFS]] ([[User talk:OhFFS|talk]]) 16:40, 29 October 2020 (UTC)&lt;br /&gt;
[[User:Seebert|Seebert]] ([[User talk:Seebert|talk]]) 19:51, 29 October 2020 (UTC)Yep, both sides are convinced the other side has been in a state of altered consciousness for the past 6 years.  And the 20% in the center thinks that both sides have gone insane.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The election has only been bitter to the liberals, because they are going to loose. [[User:SDSpivey|SDSpivey]] ([[User talk:SDSpivey|talk]]) 21:16, 29 October 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
@SDSpivey: Right? I still really like XKCD, but the peppering of political bias in the last few years is irritating. Not everything has to be fused with political commentary. Can't XKCD be it's own thing? It feels like how different TV shows start off great, then with their success start just riding the wistless wave of popular culture and public opinion in a sad attempt to stay relevant without making any substantive commentary (think about Simpsons, for instance). We've gone from normal life being fine to now EVERYONE having to state what side of every issue they're on. Just... be you. Stop making everything about whatever current story is in the news. I miss XKCD being XKCD rather than another player on the public stage imposing their political opinions. Just be a human we can all relate to, no matter the political persuasion. Political ideology doesn't correlate with IQ, and since XKCD caters to an audience with above-average IQ, Randall's making the same mistake as everyone else by isolating half the audience. [[User::Anonymous|Anonymous]] 16:01, 29 October 2020 (MST)&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=938:_T-Cells&amp;diff=197617</id>
		<title>938: T-Cells</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=938:_T-Cells&amp;diff=197617"/>
				<updated>2020-09-23T17:41:09Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: changed &amp;quot;then you have HIV&amp;quot; to &amp;quot;then you have Leukocytosis&amp;quot;, as the problem smallpox is curing is not HIV, but the overabundance of white blood cells that the modified HIV caused.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 938&lt;br /&gt;
| date      = August 15, 2011&lt;br /&gt;
| title     = T-Cells&lt;br /&gt;
| image     = t cells.png&lt;br /&gt;
| titletext = 'We're not sure how to wipe out the chimeral T-cells after they've destroyed the cancer. Though I do have this vial of smallpox ...'&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
&lt;br /&gt;
This is a cancer and leukemia related comic. Two characters are having a discussion about a [http://www.medicalnewstoday.com/articles/232581.php new trial] in cancer treatment. A trial is done to test a proposed treatment on a select group of patients before approval for the wider patient group.&lt;br /&gt;
&lt;br /&gt;
In this case, the two characters are talking about a trial in which immune cells are taken out of the patient's body and genetically modified. The modified cells are able to both attack the cancer cells and to replicate very quickly. However, to make these genetic changes inside the cells, they used {{w|HIV}} as the vehicle to introduce these new genes as it is specialized in invading and modifying immune cells.  HIV is good for this because HIV attacks your T-cells and slowly kills off your immune system. If HIV was used as a {{w|vector (molecular biology)}} to introduce a trait into your T-cells it could express a trait to hunt tumors and since it is already good at changing your T-cells it would be well-suited to this task.&lt;br /&gt;
&lt;br /&gt;
Basically, this treatment seems to replace one terrible disease with another terrible disease. As the title text says, they don't know how to get rid of the modified T-cells after they remove the cancer. And the last part of the title text is a joke, in which the doctor suggests yet another disease, {{w|smallpox}}, to inject into the patients body.  This is similar to the little old lady who swallowed a fly where each time she puts some other animal in her body to get rid of the last one and eventually she dies.  This is akin to that as you have cancer so you put super strong T-cells modified by HIV to get rid of them but then you have Leukocytosis so you get smallpox to kill those, and so on.&lt;br /&gt;
&lt;br /&gt;
Cueball possibly could have guessed this because he is familiar with biology according to this comic and one of the most common diseases that attacks T-cells would be HIV. &lt;br /&gt;
&lt;br /&gt;
The treatment described remains experimental, controversial, highly expensive (because it requires customized set of alterations for each individual cancer), and has had some promising results along with some mixed effects: see [http://www.sciencemag.org/content/340/6140/1514 this summary in science magazine].&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
:[Two people are standing facing each other, having a conversation. One is holding a laptop.]&lt;br /&gt;
:Cueball (with laptop): What's the deal with this leukemia trial? &amp;lt;nowiki&amp;gt;{{Citation: Nejm, Aug 10, 2011}}&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
:Friend: Gotta wait and see.&lt;br /&gt;
:Friend: Helping the immune system attack tumors has been a longtime research target.&lt;br /&gt;
:Friend: Lots of promising leads. Often they don't pan out.&lt;br /&gt;
&lt;br /&gt;
:Cueball: What'd these guys do?&lt;br /&gt;
:Friend: They took some of the patient's T-cells and patched their genes so they'd attack the cancer. That hasn't been enough in the past but their patch also added code to get the T-cells to replicate wildly and persist in the body.&lt;br /&gt;
&lt;br /&gt;
:Cueball: Which worked, but created its own set of problems?&lt;br /&gt;
:Friend: How'd you guess? But I think the craziest part is the way they insert the patched genes.&lt;br /&gt;
:Cueball: How?&lt;br /&gt;
:Friend: Well, think - What specializes in invading and modifying T-cells?&lt;br /&gt;
:Cueball: Seriously?&lt;br /&gt;
:Friend: Yup. Must've been a fun conversation.&lt;br /&gt;
&lt;br /&gt;
:[The last panel is set in a doctors office. A patient is sitting on the observation bed talking to their doctor.]&lt;br /&gt;
:Patient: Ok, so I have blood cells growing out of control, so you're going to give me different blood cells that ''also'' grow out of control?&lt;br /&gt;
:Doctor: Yes, but it's ok, because we've treated ''this'' blood with HIV!&lt;br /&gt;
:Patient: Are you sure you're a doctor?&lt;br /&gt;
:Doctor: Almost definitely.&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
[[Category:Comics featuring Cueball]]&lt;br /&gt;
[[Category:Cancer]]&lt;br /&gt;
[[Category:Biology]]&lt;br /&gt;
[[Category:Multiple Cueballs]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2359:_Evidence_of_Alien_Life&amp;diff=197165</id>
		<title>2359: Evidence of Alien Life</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2359:_Evidence_of_Alien_Life&amp;diff=197165"/>
				<updated>2020-09-15T02:24:08Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: /* Explanation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2359&lt;br /&gt;
| date      = September 14, 2020&lt;br /&gt;
| title     = Evidence of Alien Life&lt;br /&gt;
| image     = evidence_of_alien_life.png&lt;br /&gt;
| titletext = Both too cautious AND not cautious enough: &amp;quot;I'm skeptical that those are aliens, so I'm going to try pulling off their masks.&amp;quot;&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
{{incomplete|Created by an APPROPRIATELY CAUTIOUS ALIEN BOT. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}}&lt;br /&gt;
This comic depicts a table of possible responses to new information on the possibility of alien life. It is presented in table form, with the columns representing three categories of reaction to new evidence, and the rows representing the strength of new evidence, increasing down the table. Each intersection then shows a small scenario of what the response would be. The left and right hand column scenarios are hyperbolic in either their acceptance or denial. The center column represents a reasonable course of action.&lt;br /&gt;
&lt;br /&gt;
This comic was a reaction to [https://www.nytimes.com/2020/09/14/science/venus-life-clouds.html the discovery of phosphine gas on Venus]. {{w|Phosphine}} is a molecule whose presence in the Venusian atmosphere came as a surprise. Light breaks phosphine down, meaning something must be producing it. However, there is no known abiotic mechanism on Venus that would produce the gas in the quantities observed. The phosphine could therefore be a sign of life on Venus, but more evidence is needed. Venus was also an unexpected place to find a possible sign of life - although it was {{w|Venus in fiction|a common pulp fiction setting in the early 20th century}}, the arrival of the space probe era dashed hopes that the hidden surface might be, say, an exotic jungle. More recent efforts at finding life in the Solar System have mostly focused on Mars and various ice moons with suspected {{w|Ocean#Natural_satellites|subsurface oceans}}.&lt;br /&gt;
&lt;br /&gt;
The title text refers to an action which is simultaneously too cautious and not cautious enough: the speaker is skeptical that aliens exist, which is usually an appropriate belief, except that presumably Megan and Cueball are in the situation presented in the bottom row, where aliens have landed right in front of them.  Rather than modifying his belief (presumably it's Cueball, who was the one to approach the aliens in the other panels), he expresses an intention to approach the alleged aliens and attempt to remove their masks.  He believes that he will expose a human wearing a costume, perpetrating a {{tvtropes|ScoobyDooHoax|&amp;quot;Scooby-Doo&amp;quot;-style hoax}}, but no matter what the outcome is, he's acting rashly.  If the beings before him are aliens, he will be initiating a very aggressive first contact and will likely receive a violent response, and even if the alien is not violent, Cueball might end up removing an environmental apparatus that is protecting it from Earth's environment (or vice versa).  On the other hand, even if the &amp;quot;aliens&amp;quot; really are fakes, Cueball might end up injuring someone who is just playing a harmless joke (and who'd want to keep ''some'' kind of mask on to reduce the spread of {{w|COVID-19}}.&lt;br /&gt;
&lt;br /&gt;
The destruction of human governmental buildings is a common trope in science fiction films, as a way of aliens removing the ability of humanity to co-ordinate a response to an attack.  The United Nations building is [https://nypost.com/2017/12/11/former-uk-official-reveals-plan-in-case-of-alien-invasion/ allegedly] the co-ordination centre for a worldwide response to an extraterrestial incursion.  However, given the lack of interest in the USA currently for the United Nations, it is more commonly the White House that gets blown up by aliens who chose to ignore the 96% of humanity that don't live in the same country as Hollywood.&lt;br /&gt;
&lt;br /&gt;
The &amp;quot;alien probe&amp;quot; asteroid might refer to {{w|'Oumuamua}}, which passed through the Solar System in 2017.  'Omuamua's {{w|trajectory|hyperbolic trajectory}} indicated interstellar origin.  Because of the unusual elongated shape suggested by its {{w|albedo}} (the object was never visualized as more than a point source of light) and indications of a slight non-gravity related acceleration, there were many wild speculations about 'Omuamua's origin, including it being an alien probe similar to the one presented in the science fiction classic {{w|Rendezvous_with_Rama|Rendezvous with Rama}}.&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;
The comic is laid out like a grid, with implements down the left-hand side (Weak Evidence of Alien Life/ Promising Evidence/ Definite Evidence) and the type of &amp;quot;reaction&amp;quot; across the top (Not Cautious Enough / Appropriately Cautious/ Too Cautious). The grid illustrates the &amp;quot;match-ups&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
From the top left corner, going from left to right, top to bottom, with each first item being on its own line in the grid, the squares are as follows:&lt;br /&gt;
&lt;br /&gt;
Row 1: Cueball, looking through a telescope&lt;br /&gt;
&lt;br /&gt;
Weak Evidence of Alien Life/Not Cautious Enough: Cueball - &amp;quot;That asteroid is probably an alien probe&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Weak Evidence of Alien Life/Appropriately Cautious: Cueball - &amp;quot;This asteroid is weird and we should take a closer look; It's not aliens&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Weak Evidence of Alien Life/Too Cautious: Cueball - &amp;quot;This asteroid appears to be far away, but it could also be nearby and just very small&amp;quot;&lt;br /&gt;
&lt;br /&gt;
Row 2: Ponytail, holding a tablet or pad with &amp;quot;V&amp;quot; on it, approaches Cueball&lt;br /&gt;
&lt;br /&gt;
Promising Evidence/Not Cautious Enough: Ponytail to Cueball - &amp;quot;They found life on Venus!&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Promising Evidence/Appropriately Cautious: Ponytail to Cueball - &amp;quot;Theses molecules might be produced by life or by weird high-heat chemistry&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Promising Evidence/Too Cautious: Ponytail to Cueball - &amp;quot;There is growing evidence that the atmosphere on Venus contains molecules&amp;quot;&lt;br /&gt;
&lt;br /&gt;
Row 3: Flying saucers descend on Earth&lt;br /&gt;
&lt;br /&gt;
Definite Evidence/Not Cautious Enough: Cueball - &amp;quot;I'm going to go give those aliens a hug!&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Definite Evidence/Appropriately Cautious: Cueball - &amp;quot;Oh wow, aliens! Should we try to communicate?&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Definite Evidence/Too Cautious: Megan - &amp;quot;The energy beams vaporizing the United Nations could be a possible biosignature&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Title text: Both too cautious AND not cautious enough: &amp;quot;I'm skeptical that those are aliens, so I'm going to try pulling off their masks&amp;quot;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Comics featuring Cueball]]&lt;br /&gt;
[[Category:Comics featuring Megan]]&lt;br /&gt;
[[Category:Comics featuring Ponytail]]&lt;br /&gt;
[[Category:Comics involving Hugs]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2359:_Evidence_of_Alien_Life&amp;diff=197163</id>
		<title>2359: Evidence of Alien Life</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2359:_Evidence_of_Alien_Life&amp;diff=197163"/>
				<updated>2020-09-15T01:58:36Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: /* Explanation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2359&lt;br /&gt;
| date      = September 14, 2020&lt;br /&gt;
| title     = Evidence of Alien Life&lt;br /&gt;
| image     = evidence_of_alien_life.png&lt;br /&gt;
| titletext = Both too cautious AND not cautious enough: &amp;quot;I'm skeptical that those are aliens, so I'm going to try pulling off their masks.&amp;quot;&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
{{incomplete|Created by an APPROPRIATELY CAUTIOUS ALIEN BOT. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}}&lt;br /&gt;
This comic depicts a table of possible responses to new information on the possibility of alien life. It is presented in table form, with the columns representing three categories of reaction to new evidence, and the rows representing the strength of new evidence, increasing down the table. Each intersection then shows a small scenario of what the response would be. The left and right hand column scenarios are hyperbolic in either their acceptance or denial. The center column represents a reasonable course of action.&lt;br /&gt;
&lt;br /&gt;
This comic was a reaction to [https://www.nytimes.com/2020/09/14/science/venus-life-clouds.html the discovery of phosphine gas on Venus]. {{w|Phosphine}} is a molecule whose presence in the Venusian atmosphere came as a surprise. Light breaks phosphine down, meaning something must be producing it. However, there is no known abiotic mechanism on Venus that would produce the gas in the quantities observed. The phosphine could therefore be a sign of life on Venus, but more evidence is needed. Venus was also an unexpected place to find a possible sign of life - although it was {{w|Venus in fiction|a common pulp fiction setting in the early 20th century}}, the arrival of the space probe era dashed hopes that the hidden surface might be, say, an exotic jungle. More recent efforts at finding life in the Solar System have mostly focused on Mars and various ice moons with suspected subsurface oceans.&lt;br /&gt;
&lt;br /&gt;
The title text refers to an action which is simultaneously too cautious and not cautious enough: the speaker is skeptical that aliens exist, which is usually an appropriate belief, except that presumably Megan and Cueball are in the situation presented in the bottom row, where aliens have landed right in front of them.  Rather than modifying his belief (presumably it's Cueball, who was the one to approach the aliens in the other panels), he expresses an intention to approach the alleged aliens and attempt to remove their masks.  He believes that he will expose a human wearing a costume, perpetrating a {{tvtropes|ScoobyDooHoax|&amp;quot;Scooby-Doo&amp;quot;-style hoax}}, but no matter what the outcome is, he's acting rashly.  If the beings before him are aliens, he will be initiating a very aggressive first contact and will likely receive a violent response, and even if the alien is not violent, Cueball might end up removing an environmental apparatus that is protecting it from Earth's environment (or vice versa).  On the other hand, even if the &amp;quot;aliens&amp;quot; really are fakes, Cueball might end up injuring someone who is just playing a harmless joke (and who'd want to keep ''some'' kind of mask on to reduce the spread of [[COVID-19]]).&lt;br /&gt;
&lt;br /&gt;
The destruction of human governmental buildings is a common trope in science fiction films, as a way of aliens removing the ability of humanity to co-ordinate a response to an attack.  The United Nations building is [https://nypost.com/2017/12/11/former-uk-official-reveals-plan-in-case-of-alien-invasion/ allegedly] the co-ordination centre for a worldwide response to an extraterrestial incursion.  However, given the lack of interest in the USA currently for the United Nations, it is more commonly the White House that gets blown up by aliens who chose to ignore the 96% of humanity that don't live in the same country as Hollywood.&lt;br /&gt;
&lt;br /&gt;
The &amp;quot;alien probe&amp;quot; asteroid might refer to {{w|'Oumuamua}}, which is believed to have a similarly elongated profile and whose {{w|trajectory}} strongly indicated interstellar origin.  Because of the extremely unusual shape indicated by its {{w|albedo}} and indications of a slight non-gravity related acceleration, there were many wild speculations about Omuamua's origin, including it being an alien probe similar to the one presented in the science fiction classic {{w|Rendezvous_with_Rama|Rendezvous with Rama}}.&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;
The comic is laid out like a grid, with implements down the left-hand side (Weak Evidence of Alien Life/ Promising Evidence/ Definite Evidence) and the type of &amp;quot;reaction&amp;quot; across the top (Not Cautious Enough / Appropriately Cautious/ Too Cautious). The grid illustrates the &amp;quot;match-ups&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
From the top left corner, going from left to right, top to bottom, with each first item being on its own line in the grid, the squares are as follows:&lt;br /&gt;
&lt;br /&gt;
Row 1: Cueball, looking through a telescope&lt;br /&gt;
&lt;br /&gt;
Weak Evidence of Alien Life/Not Cautious Enough: Cueball - &amp;quot;That asteroid is probably an alien probe&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Weak Evidence of Alien Life/Appropriately Cautious: Cueball - &amp;quot;This asteroid is weird and we should take a closer look; It's not aliens&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Weak Evidence of Alien Life/Too Cautious: Cueball - &amp;quot;This asteroid appears to be far away, but it could also be nearby and just very small&amp;quot;&lt;br /&gt;
&lt;br /&gt;
Row 2: Ponytail, holding a tablet or pad with &amp;quot;V&amp;quot; on it, approaches Cueball&lt;br /&gt;
&lt;br /&gt;
Promising Evidence/Not Cautious Enough: Ponytail to Cueball - &amp;quot;They found life on Venus!&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Promising Evidence/Appropriately Cautious: Ponytail to Cueball - &amp;quot;Theses molecules might be produced by life or by weird high-heat chemistry&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Promising Evidence/Too Cautious: Ponytail to Cueball - &amp;quot;There is growing evidence that the atmosphere on Venus contains molecules&amp;quot;&lt;br /&gt;
&lt;br /&gt;
Row 3: Flying saucers descend on Earth&lt;br /&gt;
&lt;br /&gt;
Definite Evidence/Not Cautious Enough: Cueball - &amp;quot;I'm going to go give those aliens a hug!&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Definite Evidence/Appropriately Cautious: Cueball - &amp;quot;Oh wow, aliens! Should we try to communicate?&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Definite Evidence/Too Cautious: Megan - &amp;quot;The energy beams vaporizing the United Nations could be a possible biosignature&amp;quot;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Title text: Both too cautious AND not cautious enough: &amp;quot;I'm skeptical that those are aliens, so I'm going to try pulling off their masks&amp;quot;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Comics featuring Cueball]]&lt;br /&gt;
[[Category:Comics featuring Megan]]&lt;br /&gt;
[[Category:Comics featuring Ponytail]]&lt;br /&gt;
[[Category:Comics involving Hugs]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2359:_Evidence_of_Alien_Life&amp;diff=197147</id>
		<title>Talk:2359: Evidence of Alien Life</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2359:_Evidence_of_Alien_Life&amp;diff=197147"/>
				<updated>2020-09-14T22:27:42Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: &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;
[https://www.smbc-comics.com/comic/phosphine Saturday Morning Breakfast Cereal] also did a special issue this morning in honor of this announcement. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 20:02, 14 September 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
I don't think the bottom left panel fits.  If you read it as left side is jumping to wild conclusions, center having an appropriate conclusions, and the right said as avoiding coming to any conclusions, then 8/9 panels fit.  The bottom left doesn't really fit. [[Special:Contributions/162.158.74.249|162.158.74.249]] 20:33, 14 September 2020 (UTC)mcstatz&lt;br /&gt;
: Definite Evidence means there's need to be leaping to wild conclusions as to their existence, it's already &amp;quot;definite&amp;quot;.  In this case, the wild conclusion would be the assumption that they are friendly and that touching them has no potential to be harmful. [[User:N0lqu|-boB]] ([[User talk:N0lqu|talk]]) 21:18, 14 September 2020 (UTC)&lt;br /&gt;
: Even if the aliens are initially friendly, are they going to interpret a hug as a hostile action? There's no way to know without understanding their culture. [[Special:Contributions/172.69.42.50|172.69.42.50]] 22:27, 14 September 2020 (UTC)&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2357:_Polls_vs_the_Street&amp;diff=197021</id>
		<title>2357: Polls vs the Street</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2357:_Polls_vs_the_Street&amp;diff=197021"/>
				<updated>2020-09-10T17:08:32Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: Cognitive biases affect everyone, not just people you disagree with.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2357&lt;br /&gt;
| date      = September 9, 2020&lt;br /&gt;
| title     = Polls vs the Street&lt;br /&gt;
| image     = polls_vs_the_street.png&lt;br /&gt;
| titletext = Other pollsters complain about declining response rates, but our poll showed that 96% of respondents would be 'somewhat likely' or 'very likely' to agree to answer a series of questions for a survey.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
{{incomplete|Created by &amp;lt;CANDIDATE π&amp;gt;. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}}&lt;br /&gt;
This comic discusses getting data or opinions through a study (polls) or by getting them anecdotally (on the street). The phrase &amp;quot;voice on the street&amp;quot; is commonly used by news reporters who get opinions on issues by literally asking people walking by what they think, and has been previously mentioned (and derided) in [[756: Public Opinion]].&lt;br /&gt;
&lt;br /&gt;
Many news organizations, and other data-driven institutions, conduct or commission polls to assess the opinions of the general public.  These polls generally rely on asking a randomly selected and anonymous set of people a set of consistent, prepared and deliberately crafted questions about their opinions, experiences, and intents. The results of these polls are traditionally held to reflect the views of the public as a whole, within certain margins for error. Many news shows also conduct &amp;quot;man-on-the-street&amp;quot; interviews (more formally known as ''{{w|vox populi}}'', &amp;quot;voice of the people&amp;quot;), to provide a human face of &amp;quot;the public&amp;quot; and engage viewers more.  Many pollsters, pundits, and politicians worry that polling data may not accurately reflect the true trends in public opinion, as in the infamous &amp;quot;{{w|Dewey Defeats Truman}}&amp;quot; newspaper headline, and so White Hat is here extolling the virtues of interviewing [https://www.logicallyfallacious.com/logicalfallacies/Appeal-to-Common-Folk &amp;quot;real people&amp;quot;] to get at that ground truth.&lt;br /&gt;
&lt;br /&gt;
White Hat suggests that, while polls suggest &amp;quot;candidate X&amp;quot; is more favored, the people on the street that White Hat interviews are more supportive of &amp;quot;candidate Y&amp;quot;. He implies that his experiences reflect reality better than the polls. There are a number of reasons why polls may not be entirely representative.  The sampling method might not be genuinely random, some groups might be less likely than others to respond to a poll, and it's argued that some people express views that they consider to be more socially acceptable, even in anonymous polls, but vote differently in actual elections (examples include the &amp;quot;{{w|Bradley effect}}&amp;quot; and the &amp;quot;{{w|shy Tory factor}}&amp;quot;). Despite these concerns, there is little evidence that individual conversations do a better job at determining public opinion&lt;br /&gt;
&lt;br /&gt;
This comic is very likely a reference to the {{w|2020 Presidential Election}}, which was ongoing at the time of the comic's publication.  Most polls showed Democratic candidate Joe Biden polling ahead of incumbent Donald Trump, but Trump and his supporters frequently argued that the polls were inaccurate, often arguing that they personally knew or talked to many Trump supporters, and few Biden supporters. At the same time, the fact that Trump won the 2016 election astonished many who had seldom met Trump supporters in their own lives and within their own social circles. This kind of anecdotal evidence is generally a poor basis for gauging public support, for multiple reasons. Politics in the US are frequently regional, so sampling in a single area is unlikely to be representative of the whole country, or even a whole state. It's not uncommon for gathering places (both physical and virtual) to attract people from one political group more than another, producing a skewed sample. If someone uses their own perception, rather than rigorous analysis, {{W|confirmation bias}} is likely to have a major impact (a person might pay more attention to supporters of their preferred candidate, and ignore political opponents).  &lt;br /&gt;
&lt;br /&gt;
This strip lampoons such thinking, as it quickly becomes clear that White Hat's methodology is heavily driven by selection bias. He's apparently talking only to the residents of his town, and extrapolating those results to the whole country. By that logic, he would conclude that ''everyone'' has visited his town, and most people live there.  It is true that he's getting &amp;quot;ground truth&amp;quot;, but it's also true that he's only sampling a very small (and highly idiosyncratic) part of the whole population.&lt;br /&gt;
&lt;br /&gt;
In the final panel, White Hat claims that, contrary to polls stating that playing in traffic is unpopular, everybody he meets on the street enjoys it. This is a joke about the phrase &amp;quot;on the street&amp;quot;. Usually this phrase means people walking on the sidewalk beside a road, but White Hat is presumably taking the phrase literally and interviewing people he finds on the roadway. In the US, roads are generally reserved for motor vehicles, and walking or standing in the roadway for long periods is dangerous and usually illegal.  The ones who are found on the roadway would generally be from the small fraction of the population who have no qualms about darting around traffic on foot, despite the dangers. Hence the people he interviews enjoy playing in traffic, though this is far from common among the American public.&lt;br /&gt;
&lt;br /&gt;
The title text is a joke about {{w|selection bias}} and {{w|tautology}}. People who don't feel like taking surveys wouldn't get as far as answering a survey question about survey questions.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
{{incomplete transcript|Do NOT delete this tag too soon.}}&lt;br /&gt;
:White Hat: Polls are just numbers.&lt;br /&gt;
:White Hat: You have to talk to people on the ''street''.&lt;br /&gt;
&lt;br /&gt;
:White Hat: Polls ''say'' most people support &amp;lt;Candidate X&amp;gt;.&lt;br /&gt;
:White Hat: But the people I talk to on the ''street'' support &amp;lt;Candidate Y&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
:White Hat: Polls ''claim'' most people don't live in my town and have never been here.&lt;br /&gt;
:White Hat: But the people I meet on the ''street'' tell a very different story.&lt;br /&gt;
&lt;br /&gt;
:White Hat: According to ''polls'', most people don't like playing in traffic.&lt;br /&gt;
:White Hat: So why do I never seem to meet these people on the ''street''?&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Comics featuring White Hat]]&lt;br /&gt;
[[Category:Politics]]&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2349:_Rabbit_Introduction&amp;diff=196433</id>
		<title>Talk:2349: Rabbit Introduction</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2349:_Rabbit_Introduction&amp;diff=196433"/>
				<updated>2020-08-25T15:10:48Z</updated>
		
		<summary type="html">&lt;p&gt;172.69.42.50: &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;
Comic posted shortly after this made national news in the USA:&lt;br /&gt;
https://www.newsweek.com/why-hundreds-millions-genetically-engineered-mosquitoes-will-soon-released-florida-1526375&lt;br /&gt;
[[Special:Contributions/172.69.34.56|172.69.34.56]] 05:06, 21 August 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
This comic was posted incredibly early compared to the other recent comics [[Special:Contributions/172.69.34.232|172.69.34.232]] 07:22, 21 August 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
Yeah wtf it's so early [[Special:Contributions/172.69.33.25|172.69.33.25]] 07:50, 21 August 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
There's a twitter thread at @xkcd, one word every few days, from 2020-05-15 until 2020-06-01, reading &amp;quot;How's it going I saw a small bun (picture)&amp;quot;, continuing the sentence until 2020-06-25, &amp;quot;and an airplane crossing the moon (picture)&amp;quot; [[User:Chrullrich|Chrullrich]] ([[User talk:Chrullrich|talk]]) 07:53, 21 August 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
I recognise that 'bun-gap' looks like a pun, but what's it punning about? [[Special:Contributions/162.158.154.131|162.158.154.131]] 10:14, 21 August 2020 (UTC)&lt;br /&gt;
:I don't think it's really a pun, just an instance of the general X-gap pattern, meaning a significant difference in the amount or rate of X between two entities (e.g. the &amp;quot;wealth gap&amp;quot; between countries). [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 17:47, 21 August 2020 (UTC)&lt;br /&gt;
::Bun-gap having nothing to do with thigh-gap in this case. &lt;br /&gt;
::[[User:ProphetZarquon|ProphetZarquon]] ([[User talk:ProphetZarquon|talk]]) 21:04, 21 August 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
Former POTUS  Jimmy Carter is unapologetically completely oppposed to the spread of any species of bunny.  [[User:Cellocgw|Cellocgw]] ([[User talk:Cellocgw|talk]]) 12:33, 21 August 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
The explanation should probably distinguish between the {{w|pygmy rabbit}} which is not at all endangered and the {{w|Columbia Basin pygmy rabbit}} which is an isolated population that the US government (but not the IUCN) treats as endangered independently from the species as a whole. [[User:Shamino|Shamino]] ([[User talk:Shamino|talk]]) 12:57, 21 August 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
:So would it be impossible to introduce an isolated population into another location and have it count as the same population? Which would make this proposal impossible in addition to silly... I feel like that increases the humor, although I'm not sure if there's any specific term for why [[Special:Contributions/162.158.63.60|162.158.63.60]] 14:12, 24 August 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
Captain Video, if you can cull speculation here, then shouldn't you be culling a lot of speculation in 1417?  [[Special:Contributions/162.158.74.61|162.158.74.61]] 22:53, 23 August 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
Note how carefully (brilliantly) Randall uses objective wording in panel #3, consistent with a scientific discussion or proposal, when the meaning is clearly &amp;quot;but it's so CUTE!&amp;quot;. [[Special:Contributions/172.69.42.50|172.69.42.50]] 15:10, 25 August 2020 (UTC)&lt;/div&gt;</summary>
		<author><name>172.69.42.50</name></author>	</entry>

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