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		<id>https://www.explainxkcd.com/wiki/index.php?action=history&amp;feed=atom&amp;title=872%3A_Fairy_Tales</id>
		<title>872: Fairy Tales - Revision history</title>
		<link rel="self" type="application/atom+xml" href="https://www.explainxkcd.com/wiki/index.php?action=history&amp;feed=atom&amp;title=872%3A_Fairy_Tales"/>
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		<updated>2026-05-23T08:35:01Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=404821&amp;oldid=prev</id>
		<title>130.76.187.33: /* Transcript */ cinderella</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=404821&amp;oldid=prev"/>
				<updated>2026-02-03T01:08:16Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Transcript: &lt;/span&gt; cinderella&lt;/span&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 01:08, 3 February 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l49&quot; &gt;Line 49:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 49:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Comics featuring real people]] &amp;lt;!-- Newton --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Comics featuring real people]] &amp;lt;!-- Newton --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Fiction]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Fiction]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Disney]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Math]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Math]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>130.76.187.33</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=393213&amp;oldid=prev</id>
		<title>82.132.237.203: /* Explanation */ Self-corrections/rewrites, plus some other bits.</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=393213&amp;oldid=prev"/>
				<updated>2025-12-02T16:08:26Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation: &lt;/span&gt; Self-corrections/rewrites, plus some other bits.&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 16:08, 2 December 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot; &gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a very particular shoe behind. The versions of French, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;and &lt;/del&gt;ultimately widespread in English, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;origin &lt;/del&gt;tend to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;use &lt;/del&gt;a glass slipper (with the possible origin of the {{wiktionary|verre#Noun 2|glass}} originally being {{w|Vair|fur}}), while the Germanic tradition (often via {{w|Grimms' Fairy Tales}}) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;may &lt;/del&gt;use of golden footware, as do many non-European equivalent tales if they don't use other materials. The prince then uses the shoe's unique fit to identify Cinderella from amongst all the possible candidates. [[Megan]] says that, the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner. Eigenvectors are a basis of statistical {{w|principal component analysis}}, a procedure in which a set of points in N-dimensional space (each of which represents an observation) are rotated in such a way that the cloud of points has its largest extent along the X-axis, then along the Y-axis, and so on. The prince could probably use this procedure on the inner dimensions first of {{w|Cinderella}}'s shoe and then also all candidate feet to determine their respective degree of fit, although it would be an extremely complicated way to do this compared to just directly comparing like-for-like measurements with a ruler or tailor's tape.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a very particular shoe behind. The versions of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;primarily &lt;/ins&gt;French &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;origin&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;that &lt;/ins&gt;ultimately &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;became &lt;/ins&gt;widespread in English, tend to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;describe &lt;/ins&gt;a glass slipper (with the possible origin of the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'&lt;/ins&gt;{{wiktionary|verre#Noun 2|glass}}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;' &lt;/ins&gt;originally being &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'&lt;/ins&gt;{{w|Vair|fur}}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'&lt;/ins&gt;), while the Germanic tradition (often via {{w|Grimms' Fairy Tales}}) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;make &lt;/ins&gt;use of golden footware, as do many non-European equivalent tales if they don't use other materials. The prince then uses the shoe's &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;apparently &lt;/ins&gt;unique fit to identify Cinderella from amongst all the possible candidates. [[Megan]] says that, the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner. Eigenvectors are a basis of statistical {{w|principal component analysis}}, a procedure in which a set of points in N-dimensional space (each of which represents an observation) are rotated in such a way that the cloud of points has its largest extent along the X-axis, then along the Y-axis, and so on. The prince could probably use this procedure on the inner dimensions first of {{w|Cinderella}}'s shoe and then also all candidate feet to determine their respective degree of fit, although it would be an extremely complicated way to do this compared to just directly comparing like-for-like measurements with a ruler or tailor's tape.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that her mother, a math professor (drawn as [[Hairbun]] with glasses) would continue to talk when she fell asleep in the midst of reading bed time stories, and then would ramble on mixing the adventures with the math from her work. The middle panel refers to the story of {{w|The Ant and the Grasshopper}} with the addition of what is likely a reference to the {{w|Poincaré conjecture}}, a (now-misnamed) theorem in mathematics. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that her mother, a math professor (drawn as [[Hairbun]] with glasses) would continue to talk when she fell asleep in the midst of reading bed time stories, and then would ramble on mixing the adventures with the math from her work. The middle panel refers to the story of {{w|The Ant and the Grasshopper}} with the addition of what is likely a reference to the {{w|Poincaré conjecture}}, a (now-misnamed) theorem in mathematics. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l16&quot; &gt;Line 16:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 16:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that even today she is not sure which versions are the real ones. Cueball cannot understand how she would not have noticed the drastic subject changes (which seems obvious to adults, but maybe not to small children). &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that even today she is not sure which versions are the real ones. Cueball cannot understand how she would not have noticed the drastic subject changes (which seems obvious to adults, but maybe not to small children). &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan then mentions two other story changes, the first ''Inductive White and the (''n''−1) Dwarfs'' was better than the original. The story is a combination of {{w|Snow White and the Seven Dwarfs}} with the {{w|Mathematical induction|principle of induction}}. But ''The lim&amp;lt;sub&amp;gt;x→∞&amp;lt;/sub&amp;gt;(x) Little Pigs'' was a little weird toward the end. That story combines the {{w|Three Little Pigs}} with {{w|Limit (mathematics)|mathematical limits}}. The reason it got weird toward the end was &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;(&lt;/del&gt;likely&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;) &lt;/del&gt;because the number of pigs tends to infinity as the story progresses. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan then mentions two other story changes, the first ''Inductive White and the (''n''−1) Dwarfs'' was better than the original. The story is a combination of {{w|Snow White and the Seven Dwarfs}} with the {{w|Mathematical induction|principle of induction}}. But ''The lim&amp;lt;sub&amp;gt;x→∞&amp;lt;/sub&amp;gt;(x) Little Pigs'' was a little weird toward the end. That story combines the {{w|Three Little Pigs}} with {{w|Limit (mathematics)|mathematical limits}}. The reason it got weird toward the end &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;(probably even weirder than ''[[821: Five-Minute Comics: Part 3|The 119 Little Pigs]] did'') &lt;/ins&gt;was likely because the number of pigs tends to infinity as the story progresses&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, and this also makes it difficult to see how there {{w|Zeno's paradoxes|could be}} an actual end&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Each of the stories has a varied degree of similarity to the mathematical concepts that were mixed in as though her mom began to talk about a mathematical principle that may have been brought to mind while reading the story or already on her mind.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Each of the stories has a varied degree of similarity to the mathematical concepts that were mixed in as though her mom began to talk about a mathematical principle that may have been brought to mind while reading the story or already on her mind.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>82.132.237.203</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=393211&amp;oldid=prev</id>
		<title>82.132.237.203: /* Explanation */ Rewrite the rewrite a bit. (And a bit more.) Didn't go into the old 'theory' that the &quot;fur slipper&quot; was Cinderella's pubic area, into which the *Prince* decided he himself could satisfactorally 'fit' his own. ;)</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=393211&amp;oldid=prev"/>
				<updated>2025-12-02T15:55:55Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation: &lt;/span&gt; Rewrite the rewrite a bit. (And a bit more.) Didn&amp;#039;t go into the old &amp;#039;theory&amp;#039; that the &amp;quot;fur slipper&amp;quot; was Cinderella&amp;#039;s pubic area, into which the *Prince* decided he himself could satisfactorally &amp;#039;fit&amp;#039; his own. ;)&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 15:55, 2 December 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot; &gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a shoe behind &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;(made &lt;/del&gt;of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;gold &lt;/del&gt;in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;German versions &lt;/del&gt;of the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;story or &lt;/del&gt;glass &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;in French and English versions&lt;/del&gt;). The prince then uses the shoe to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;find &lt;/del&gt;Cinderella. [[Megan]] says that the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;very particular &lt;/ins&gt;shoe behind&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;. The versions &lt;/ins&gt;of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;French, and ultimately widespread &lt;/ins&gt;in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;English, origin tend to use a glass slipper (with the possible origin &lt;/ins&gt;of the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{{wiktionary|verre#Noun 2|&lt;/ins&gt;glass&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;}} originally being {{w|Vair|fur}}), while the Germanic tradition (often via {{w|Grimms' Fairy Tales}}&lt;/ins&gt;) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;may use of golden footware, as do many non-European equivalent tales if they don't use other materials&lt;/ins&gt;. The prince then uses the shoe&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'s unique fit &lt;/ins&gt;to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;identify &lt;/ins&gt;Cinderella &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;from amongst all the possible candidates&lt;/ins&gt;. [[Megan]] says that&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, &lt;/ins&gt;the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner. Eigenvectors are a basis of statistical {{w|&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;principal &lt;/ins&gt;component analysis}}, a procedure in which a set of points in N-dimensional space (each of which represents an observation) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;are &lt;/ins&gt;rotated in such a way that the cloud of points has its largest extent along the X-axis, then along the Y-axis, and so on. The prince could probably use this procedure on &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;the inner dimensions first of &lt;/ins&gt;{{w|Cinderella}}'s shoe &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;and then also all candidate feet &lt;/ins&gt;to determine &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;their respective degree of fit&lt;/ins&gt;, although it would be an extremely complicated way to do this compared to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;just directly comparing like-for-like measurements &lt;/ins&gt;with a ruler or tailor's tape.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Eigenvectors are a basis of statistical {{w|&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Principal &lt;/del&gt;component analysis}}, a procedure in which a set of points in N-dimensional space (each of which represents an observation) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;is &lt;/del&gt;rotated in such a way&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, &lt;/del&gt;that the cloud of points has its largest extent along the X-axis, then along the Y-axis, and so on. The prince could probably use this procedure on {{w|Cinderella}}'s shoe to determine &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;its size&lt;/del&gt;, although it would be an extremely complicated way to do this compared to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;simply measuring &lt;/del&gt;with a ruler or tailor's tape.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that her mother, a math professor (drawn as [[Hairbun]] with glasses) would continue to talk when she fell asleep in the midst of reading bed time stories, and then would ramble on mixing the adventures with the math from her work. The middle panel refers to the story of {{w|The Ant and the Grasshopper}} with the addition of what is likely a reference to the {{w|Poincaré conjecture}}, a (now-misnamed) theorem in mathematics. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that her mother, a math professor (drawn as [[Hairbun]] with glasses) would continue to talk when she fell asleep in the midst of reading bed time stories, and then would ramble on mixing the adventures with the math from her work. The middle panel refers to the story of {{w|The Ant and the Grasshopper}} with the addition of what is likely a reference to the {{w|Poincaré conjecture}}, a (now-misnamed) theorem in mathematics. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>82.132.237.203</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=393192&amp;oldid=prev</id>
		<title>183231bcb: /* Explanation */</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=393192&amp;oldid=prev"/>
				<updated>2025-12-02T01:49:46Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 01:49, 2 December 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot; &gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a glass &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;slipper behind&lt;/del&gt;. The prince then uses the shoe to find Cinderella. [[Megan]] says that the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;shoe behind (made of gold in German versions of the story or &lt;/ins&gt;glass &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;in French and English versions)&lt;/ins&gt;. The prince then uses the shoe to find Cinderella. [[Megan]] says that the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Eigenvectors are a basis of statistical {{w|Principal component analysis}}, a procedure in which a set of points in N-dimensional space (each of which represents an observation) is rotated in such a way, that the cloud of points has its largest extent along the X-axis, then along the Y-axis, and so on. The prince could probably use this procedure on &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;the &lt;/del&gt;{{w|Cinderella}}'s shoe to determine its size, although it would be an extremely complicated way to do this compared to simply measuring with a ruler or tailor's tape.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Eigenvectors are a basis of statistical {{w|Principal component analysis}}, a procedure in which a set of points in N-dimensional space (each of which represents an observation) is rotated in such a way, that the cloud of points has its largest extent along the X-axis, then along the Y-axis, and so on. The prince could probably use this procedure on {{w|Cinderella}}'s shoe to determine its size, although it would be an extremely complicated way to do this compared to simply measuring with a ruler or tailor's tape.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that her mother, a math professor (drawn as [[Hairbun]] with glasses) would continue to talk when she fell asleep in the midst of reading bed time stories, and then would ramble on mixing the adventures with the math from her work. The middle panel refers to the story of {{w|The Ant and the Grasshopper}} with the addition of what is likely a reference to the {{w|Poincaré conjecture}}, a (now-misnamed) theorem in mathematics. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that her mother, a math professor (drawn as [[Hairbun]] with glasses) would continue to talk when she fell asleep in the midst of reading bed time stories, and then would ramble on mixing the adventures with the math from her work. The middle panel refers to the story of {{w|The Ant and the Grasshopper}} with the addition of what is likely a reference to the {{w|Poincaré conjecture}}, a (now-misnamed) theorem in mathematics. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>183231bcb</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=379346&amp;oldid=prev</id>
		<title>81.1.2.155: /* Explanation */</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=379346&amp;oldid=prev"/>
				<updated>2025-06-13T12:29:59Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 12:29, 13 June 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l17&quot; &gt;Line 17:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that even today she is not sure which versions are the real ones. Cueball cannot understand how she would not have noticed the drastic subject changes (which seems obvious to adults, but maybe not to small children). &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that even today she is not sure which versions are the real ones. Cueball cannot understand how she would not have noticed the drastic subject changes (which seems obvious to adults, but maybe not to small children). &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan then mentions two other story changes, the first ''Inductive White and the (''n''−1) Dwarfs'' was better than the original. The story is a combination of {{w|Snow White and the Seven Dwarfs}} with the {{w|Mathematical induction|principle of induction}}. But ''The lim&amp;lt;sub&amp;gt;x→∞&amp;lt;/sub&amp;gt;(x) Little Pigs'' was a little weird toward the end. That story combines the {{w|Three Little Pigs}} with {{w|Limit (mathematics)|mathematical limits}}. The reason it got weird toward the end was because the number of pigs tends to infinity as the story progresses. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan then mentions two other story changes, the first ''Inductive White and the (''n''−1) Dwarfs'' was better than the original. The story is a combination of {{w|Snow White and the Seven Dwarfs}} with the {{w|Mathematical induction|principle of induction}}. But ''The lim&amp;lt;sub&amp;gt;x→∞&amp;lt;/sub&amp;gt;(x) Little Pigs'' was a little weird toward the end. That story combines the {{w|Three Little Pigs}} with {{w|Limit (mathematics)|mathematical limits}}. The reason it got weird toward the end was &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;(likely) &lt;/ins&gt;because the number of pigs tends to infinity as the story progresses. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Each of the stories has a varied degree of similarity to the mathematical concepts that were mixed in as though her mom began to talk about a mathematical principle that may have been brought to mind while reading the story or already on her mind.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Each of the stories has a varied degree of similarity to the mathematical concepts that were mixed in as though her mom began to talk about a mathematical principle that may have been brought to mind while reading the story or already on her mind.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>81.1.2.155</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=349089&amp;oldid=prev</id>
		<title>162.158.102.211: it's probably a reference to PCA</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=349089&amp;oldid=prev"/>
				<updated>2024-08-21T09:34:34Z</updated>
		
		<summary type="html">&lt;p&gt;it&amp;#039;s probably a reference to PCA&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 09:34, 21 August 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot; &gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;The concept of an eigenvector has nothing to do with the fairy tale {{w|Cinderella}};{{Citation needed}} therefore [[Megan]] confuses [[Cueball]] when she asks whether it occurred in the story of Cinderella.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a glass slipper behind. The prince then uses the shoe to find Cinderella. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;Megan&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] &lt;/ins&gt;says that the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Eigenvectors are a basis of statistical {{w|Principal component analysis}}, a procedure in which a set of points in N-dimensional space (each of which represents an observation) &lt;/ins&gt;is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;rotated in such &lt;/ins&gt;a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;way&lt;/ins&gt;, that &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;the cloud &lt;/ins&gt;of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;points has its largest extent along &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;X-axis&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;then along &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Y-axis, and so on. The prince could probably use this procedure on &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{{w|Cinderella}}'s &lt;/ins&gt;shoe &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;to determine its &lt;/ins&gt;size&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, although it would be an extremely complicated way &lt;/ins&gt;to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;do this compared &lt;/ins&gt;to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;simply measuring with a ruler or tailor's tape&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a glass slipper behind. The prince then uses the shoe to find Cinderella. Megan says that the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;This &lt;/del&gt;is a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;somewhat logical mathematical connection to make as eigenvectors&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;unchanged properties of mathematical matrices &lt;/del&gt;that &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;may allow for mathematical identification &lt;/del&gt;of the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;changed matrix&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;correspond to &lt;/del&gt;the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;unchangeable property of &lt;/del&gt;the shoe &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;(&lt;/del&gt;size&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;) that allowed the prince &lt;/del&gt;to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;correctly identify the owner of the shoe even after the shoe was misplaced. Eigenvectors are sometimes used in facial-recognition software &lt;/del&gt;to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;match 2 faces&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that her mother, a math professor (drawn as [[Hairbun]] with glasses) would continue to talk when she fell asleep in the midst of reading bed time stories, and then would ramble on mixing the adventures with the math from her work. The middle panel refers to the story of {{w|The Ant and the Grasshopper}} with the addition of what is likely a reference to the {{w|Poincaré conjecture}}, a (now-misnamed) theorem in mathematics. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Megan explains that her mother, a math professor (drawn as [[Hairbun]] with glasses) would continue to talk when she fell asleep in the midst of reading bed time stories, and then would ramble on mixing the adventures with the math from her work. The middle panel refers to the story of {{w|The Ant and the Grasshopper}} with the addition of what is likely a reference to the {{w|Poincaré conjecture}}, a (now-misnamed) theorem in mathematics. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>162.158.102.211</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=346590&amp;oldid=prev</id>
		<title>172.70.90.177: /* Explanation */ punc.</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=346590&amp;oldid=prev"/>
				<updated>2024-07-18T09:20:38Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation: &lt;/span&gt; punc.&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 09:20, 18 July 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot; &gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The concept of an eigenvector has nothing to do with the fairy tale {{w|Cinderella}}{{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;citation &lt;/del&gt;needed}}&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;; &lt;/del&gt;therefore [[Megan]] &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/del&gt;confuses [[Cueball]] when she asks whether it occurred in the story of Cinderella.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The concept of an eigenvector has nothing to do with the fairy tale {{w|Cinderella}}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;;&lt;/ins&gt;{{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Citation &lt;/ins&gt;needed}} therefore [[Megan]] confuses [[Cueball]] when she asks whether it occurred in the story of Cinderella.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a glass slipper behind. The prince then uses the shoe to find Cinderella. Megan says that the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner. This is a somewhat logical mathematical connection to make as eigenvectors, unchanged properties of mathematical matrices that may allow for mathematical identification of the changed matrix, correspond to the unchangeable property of the shoe (size) that allowed the prince to correctly identify the owner of the shoe even after the shoe was misplaced. Eigenvectors are sometimes used in facial-recognition software to match 2 faces.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a glass slipper behind. The prince then uses the shoe to find Cinderella. Megan says that the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner. This is a somewhat logical mathematical connection to make as eigenvectors, unchanged properties of mathematical matrices that may allow for mathematical identification of the changed matrix, correspond to the unchangeable property of the shoe (size) that allowed the prince to correctly identify the owner of the shoe even after the shoe was misplaced. Eigenvectors are sometimes used in facial-recognition software to match 2 faces.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>172.70.90.177</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=346553&amp;oldid=prev</id>
		<title>172.71.154.225: /* Explanation */</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=346553&amp;oldid=prev"/>
				<updated>2024-07-18T03:28:56Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 03:28, 18 July 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot; &gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{w|Eigenvalues and eigenvectors|Eigenvectors}} are a mathematical concepts that can be applied to a {{w|Matrix (mathematics)|matrix}}. A matrix is mostly displayed as an rectangular array of elements used to describe the state of objects in physics. In pure mathematics they can be much more complex. The most important issue to the understanding of the comic is that a matrix can be transformed through various processes. These transformations can include rotation, movement and scaling of the object described by the matrix. An eigenvector refers to elements of the vector space of the matrix which remain unchanged (except possibly being scaled to be longer or shorter) after the transformation is applied. The prefix 'eigen-' applied to the term is adopted from the German word ''eigen'' for &amp;quot;self-&amp;quot; or &amp;quot;unique to&amp;quot;, &amp;quot;peculiar to&amp;quot;, or &amp;quot;belonging to.&amp;quot; As the eigenvector remains unchanged through the transformation of the matrix it can be used to describe something unique about that matrix.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The concept of an eigenvector has nothing to do with the fairy tale {{w|Cinderella}}; therefore [[Megan]]&amp;#160; confuses [[Cueball]] when she asks whether it occurred in the story of Cinderella.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The concept of an eigenvector has nothing to do with the fairy tale {{w|Cinderella&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;}}{{citation needed&lt;/ins&gt;}}; therefore [[Megan]]&amp;#160; confuses [[Cueball]] when she asks whether it occurred in the story of Cinderella.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a glass slipper behind. The prince then uses the shoe to find Cinderella. Megan says that the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner. This is a somewhat logical mathematical connection to make as eigenvectors, unchanged properties of mathematical matrices that may allow for mathematical identification of the changed matrix, correspond to the unchangeable property of the shoe (size) that allowed the prince to correctly identify the owner of the shoe even after the shoe was misplaced. Eigenvectors are sometimes used in facial-recognition software to match 2 faces.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The story of Cinderella includes Cinderella going to a ball in disguise, dancing with a prince and then leaving early and quickly, so that she accidentally leaves a glass slipper behind. The prince then uses the shoe to find Cinderella. Megan says that the way she learned it, the prince used an eigenvector and corresponding eigenvalue to match the shoe to its owner. This is a somewhat logical mathematical connection to make as eigenvectors, unchanged properties of mathematical matrices that may allow for mathematical identification of the changed matrix, correspond to the unchangeable property of the shoe (size) that allowed the prince to correctly identify the owner of the shoe even after the shoe was misplaced. Eigenvectors are sometimes used in facial-recognition software to match 2 faces.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>172.71.154.225</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=284106&amp;oldid=prev</id>
		<title>Theusaf: Reverted edits by Donald Trump (talk) to last revision by CRLF</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=284106&amp;oldid=prev"/>
				<updated>2022-05-26T20:02:32Z</updated>
		
		<summary type="html">&lt;p&gt;Reverted edits by &lt;a href=&quot;/wiki/index.php/Special:Contributions/Donald_Trump&quot; title=&quot;Special:Contributions/Donald Trump&quot;&gt;Donald Trump&lt;/a&gt; (&lt;a href=&quot;/wiki/index.php?title=User_talk:Donald_Trump&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User talk:Donald Trump (page does not exist)&quot;&gt;talk&lt;/a&gt;) to last revision by &lt;a href=&quot;/wiki/index.php/User:CRLF&quot; title=&quot;User:CRLF&quot;&gt;CRLF&lt;/a&gt;&lt;/p&gt;
&lt;a href=&quot;//www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;amp;diff=284106&amp;amp;oldid=281211&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Theusaf</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=281211&amp;oldid=prev</id>
		<title>Donald Trump: Reverted edit by anti-crap user</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;diff=281211&amp;oldid=prev"/>
				<updated>2022-05-26T18:52:01Z</updated>
		
		<summary type="html">&lt;p&gt;Reverted edit by anti-crap user&lt;/p&gt;
&lt;a href=&quot;//www.explainxkcd.com/wiki/index.php?title=872:_Fairy_Tales&amp;amp;diff=281211&amp;amp;oldid=281100&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Donald Trump</name></author>	</entry>

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