https://www.explainxkcd.com/wiki/index.php?action=history&feed=atom&title=385%3A_How_it_Works 2026-05-21T11:18:05Z Revision history for this page on the wiki MediaWiki 1.30.0 https://www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&diff=404372&oldid=prev 2026-01-27T01:05:48Z

<p>‎<span dir="auto"><span class="autocomment">Transcript</span></span></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="en"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 01:05, 27 January 2026</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l23" >Line 23:</td> <td colspan="2" class="diff-lineno">Line 23:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>==Transcript==</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>==Transcript==</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>:[Cueball and a friend stand at a blackboard. The friend is writing, in standard mathematical notation, that the integral of x squared equals pi. No differential or bounds are given for the integral.]</div></td><td class='diff-marker'>+</td><td style="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;"><div>:[Cueball and a <ins class="diffchange diffchange-inline">Cueball-like </ins>friend stand at a blackboard. The friend is writing, in standard mathematical notation, that the integral of x squared equals pi. No differential or bounds are given for the integral.]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>:Cueball: Wow, you suck at math.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>:Cueball: Wow, you suck at math.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>:[The same scene, except the writer is Megan.]</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>:[The same scene, except the writer is Megan.]</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l31" >Line 31:</td> <td colspan="2" class="diff-lineno">Line 31:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>[[Category:Comics featuring Cueball]]</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>[[Category:Comics featuring Cueball]]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>[[Category:Comics featuring Megan]]</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>[[Category:Comics featuring Megan]]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Multiple Cueballs]]</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>[[Category:Math]]</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>[[Category:Math]]</div></td></tr> </table>

208.59.176.206 https://www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&diff=380671&oldid=prev 2025-06-30T20:46:54Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="en"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 20:46, 30 June 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12" >Line 12:</td> <td colspan="2" class="diff-lineno">Line 12:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>The answer given in the title text, {{w|π}} + C, is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially inane as π itself ''is'' a constant.)</div></td><td class='diff-marker'>+</td><td style="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;"><div>The answer given in the title text, {{w|π}} + C, is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially inane as π itself ''is'' a constant<ins class="diffchange diffchange-inline">, and so adding another arbitrary constant makes the π irrelevant</ins>.)</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td></tr> </table>

Treeplate https://www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&diff=378598&oldid=prev 2025-05-28T22:47:47Z

<p>Undo revision 378574 by <a href="/wiki/index.php/Special:Contributions/172.69.223.40" title="Special:Contributions/172.69.223.40">172.69.223.40</a> (<a href="/wiki/index.php?title=User_talk:172.69.223.40&amp;action=edit&amp;redlink=1" class="new" title="User talk:172.69.223.40 (page does not exist)">talk</a>) Disagree. &quot;Inane&quot; (lacking sense) fits better than &quot;insane&quot; (lacking sanity). Similar senses, *almost* synonyms, but different &#039;tone&#039;.</p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="en"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 22:47, 28 May 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12" >Line 12:</td> <td colspan="2" class="diff-lineno">Line 12:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>The answer given in the title text, {{w|π}} + C, is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially <del class="diffchange diffchange-inline">insane </del>as π itself ''is'' a constant.)</div></td><td class='diff-marker'>+</td><td style="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;"><div>The answer given in the title text, {{w|π}} + C, is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially <ins class="diffchange diffchange-inline">inane </ins>as π itself ''is'' a constant.)</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td></tr> </table>

172.68.186.50 https://www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&diff=378574&oldid=prev 2025-05-28T09:00:20Z

<p>corrected &quot;inane&quot; to &quot;insane&quot;</p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="en"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:00, 28 May 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12" >Line 12:</td> <td colspan="2" class="diff-lineno">Line 12:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>The answer given in the title text, {{w|π}} + C, is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially <del class="diffchange diffchange-inline">inane </del>as π itself ''is'' a constant.)</div></td><td class='diff-marker'>+</td><td style="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;"><div>The answer given in the title text, {{w|π}} + C, is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially <ins class="diffchange diffchange-inline">insane </ins>as π itself ''is'' a constant.)</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td></tr> </table>

172.69.223.40 https://www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&diff=367955&oldid=prev 2025-03-05T16:41:13Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="en"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 16:41, 5 March 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2" >Line 2:</td> <td colspan="2" class="diff-lineno">Line 2:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>| number&#160; &#160; = 385</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>| number&#160; &#160; = 385</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>| date&#160; &#160; &#160; = February 18, 2008</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>| date&#160; &#160; &#160; = February 18, 2008</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>| title&#160; &#160; = How <del class="diffchange diffchange-inline">It </del>Works</div></td><td class='diff-marker'>+</td><td style="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;"><div>| title&#160; &#160; = How <ins class="diffchange diffchange-inline">it </ins>Works</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>| image&#160; &#160; = how it works.png</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>| image&#160; &#160; = how it works.png</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>| titletext = It's pi plus C, of course.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>| titletext = It's pi plus C, of course.</div></td></tr> </table>

Not without text https://www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&diff=340952&oldid=prev 2024-04-30T17:08:41Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="en"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 17:08, 30 April 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l15" >Line 15:</td> <td colspan="2" class="diff-lineno">Line 15:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">A more complicated but not entirely unlikely guess is that the equation is meant to represent the {{w|Gaussian Integral}}, &amp;nbsp; </ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;sub&gt;-&amp;infin; &lt;/sub&gt;&amp;int;&lt;sup&gt; +&amp;infin;&lt;/sup&gt; ''e''&lt;sup&gt;-x&lt;sup&gt;2&lt;/sup&gt;&lt;/sup&gt; ''dx'' = &amp;radic;&amp;pi; . </ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">&amp;nbsp;</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">However, the person writing only vaguely remembers this identity, and even forgets about basics like adding ''dx'' and the bounds of integration. This would indeed support the view that the person sucks at math. </ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">The correction/improvement attempted in the title text is just the average student's first guess when asked to reconsider an equation where the bounds of integration are missing. If the situation is actually about said integral, this is no proof of competence either. </ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>==Transcript==</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>==Transcript==</div></td></tr> </table>

162.158.110.151 https://www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&diff=321777&oldid=prev 2023-08-23T17:19:17Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="en"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 17:19, 23 August 2023</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12" >Line 12:</td> <td colspan="2" class="diff-lineno">Line 12:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>The answer {{w|π}} is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially inane as π itself ''is'' a constant.)</div></td><td class='diff-marker'>+</td><td style="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;"><div>The answer <ins class="diffchange diffchange-inline">given in the title text, </ins>{{w|π}} <ins class="diffchange diffchange-inline">+ C, </ins>is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially inane as π itself ''is'' a constant.)</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"></td><td class='diff-marker'>&#160;</td><td style="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;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td><td class='diff-marker'>&#160;</td><td style="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;"><div>It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</div></td></tr> </table>

172.69.22.22 https://www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&diff=272644&oldid=prev 2022-05-21T02:14:00Z

<p>Undo revision 271568 by <a href="/wiki/index.php/Special:Contributions/Explain_xkcd_server_admin" title="Special:Contributions/Explain xkcd server admin">Explain xkcd server admin</a> (<a href="/wiki/index.php?title=User_talk:Explain_xkcd_server_admin&amp;action=edit&amp;redlink=1" class="new" title="User talk:Explain xkcd server admin (page does not exist)">talk</a>)</p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="en"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 02:14, 21 May 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap 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crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap</del></div></td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">{{comic</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">| number&#160; &#160; = 385</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">| date&#160; &#160; &#160; = February 18, 2008</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">| title&#160; &#160; = How It Works</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">| image&#160; &#160; = how it works.png</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">| titletext = It's pi plus C, of course.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">}}</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">==Explanation==</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">The comic reveals discriminative jargon against women when doing tasks such as mathematics. When a guy does something wrong, it's his own mistake. When a girl does something wrong, it is taken as a confirmation that girls are inferior.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">The answer {{w|π}} is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially inane as π itself ''is'' a constant.)</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">==Transcript==</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">:[Cueball and a friend stand at a blackboard. The friend is writing, in standard mathematical notation, that the integral of x squared equals pi. No differential or bounds are given for the integral.]</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">:Cueball: Wow, you suck at math.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">:[The same scene, except the writer is Megan.]</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">:Cueball: Wow, girls suck at math.</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">{{comic discussion}}</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">[[Category:Comics featuring Cueball]]</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">[[Category:Comics featuring Megan]]</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">[[Category:Math]]</ins></div></td></tr> </table>

172.70.162.147 https://www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&diff=271568&oldid=prev 2022-05-20T21:56:36Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="en"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 21:56, 20 May 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">{{comic</del></div></td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap 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crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap crap</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">| number&#160; &#160; = 385</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">| date&#160; &#160; &#160; = February 18, 2008</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">| title&#160; &#160; = How It Works</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">| image&#160; &#160; = how it works.png</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">| titletext = It's pi plus C, of course.</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">}}</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">==Explanation==</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">The comic reveals discriminative jargon against women when doing tasks such as mathematics. When a guy does something wrong, it's his own mistake. When a girl does something wrong, it is taken as a confirmation that girls are inferior.</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">The mathematics displayed is neither {{w|semantically}} nor {{w|syntactically}} correct. To begin with, there should (reasonably) be a ''dx'' after x&lt;sup&gt;2&lt;/sup&gt;. Adding this, we have an {{w|indefinite integral}} on the left hand side.</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">The answer {{w|π}} is just nonsensical: What we want is a {{w|Function (mathematics)|function}} whose {{w|derivative}} is x&lt;sup&gt;2&lt;/sup&gt;. Now, x&lt;sup&gt;3&lt;/sup&gt;/3 satisfies this condition. However, since adding a {{w|constant (mathematics)|constant}} to a function does not change its derivative, the full answer is (any function of the form) x&lt;sup&gt;3&lt;/sup&gt;/3 {{w|Constant of integration|+ C}}, where C is any fixed number. The &quot;plus a constant&quot; part is very easy to forget, and might even be omitted by a (sloppy) professional mathematician. So if someone really gave the answer π, &quot;you forgot to add a constant&quot; would be a pretty funny remark, because in one way it's true, but on the other hand it wouldn't quite be the main thing to worry about. (It is especially inane as π itself ''is'' a constant.)</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">It would also be possible to fix the equation by adding [http://www.mathwords.com/b/bounds_of_integration.htm bounds of integration], so that {{w|π}} becomes the area below a section of the curve x&lt;sup&gt;2&lt;/sup&gt;. That is called a definite integral, and there would be no &quot;+ C&quot;. The bounds would have to be somewhat awkward though; if 0 was the lower bound, the cube root of 3π would have to be the upper.</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">==Transcript==</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">:[Cueball and a friend stand at a blackboard. The friend is writing, in standard mathematical notation, that the integral of x squared equals pi. No differential or bounds are given for the integral.]</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">:Cueball: Wow, you suck at math.</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">:[The same scene, except the writer is Megan.]</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">:Cueball: Wow, girls suck at math.</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">{{comic discussion}}</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">[[Category:Comics featuring Cueball]]</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">[[Category:Comics featuring Megan]]</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">[[Category:Math]]</del></div></td><td colspan="2">&#160;</td></tr> </table>

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<p>Undo revision 253103 by <a href="/wiki/index.php/Special:Contributions/Ex_Kay_Cee_Dee" title="Special:Contributions/Ex Kay Cee Dee">Ex Kay Cee Dee</a> (<a href="/wiki/index.php/User_talk:Ex_Kay_Cee_Dee" title="User talk:Ex Kay Cee Dee">talk</a>)</p> <a href="//www.explainxkcd.com/wiki/index.php?title=385:_How_it_Works&amp;diff=253698&amp;oldid=253103">Show changes</a>

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