26: Fourier - Revision history

FaviFake: New template!!! Take a look, it has a new bottom navigation bar to browse the early xkcd comics in the original order, and a new style for the original title!

2025-05-01T13:42:21Z

New template!!! Take a look, it has a new bottom navigation bar to browse the early xkcd comics in the original order, and a new style for the original title!

FaviFake at 10:40, 12 April 2025

2025-04-12T10:40:52Z

JimTheFrog: Removed incomplete tag, since it's a joke that the reverse transform would recreate the cat. (It only would if Randall had actually Fourier-transformed a cat-like waveform, which of course he didn't.)

2025-04-11T21:03:56Z

Removed incomplete tag, since it's a joke that the reverse transform would recreate the cat. (It only would if Randall had actually Fourier-transformed a cat-like waveform, which of course he didn't.)

162.158.216.152: /* Trivia */ Unnecessary clarification of causality.

2025-03-28T20:31:31Z

‎Trivia: Unnecessary clarification of causality.

FaviFake: /* Trivia / After the publication of this comic, David Zaslavsky published a [https://www.ellipsix.net/blog/2013/09/interpreting-fourier-transforms.html fan version] on his blog [https://www.ellipsix.net/ ellipsix informatics], interpreting the transfor

2025-03-27T18:20:12Z

‎Trivia: *After the publication of this comic, David Zaslavsky published a [https://www.ellipsix.net/blog/2013/09/interpreting-fourier-transforms.html fan version] on his blog [https://www.ellipsix.net/ ellipsix informatics], interpreting the transfor

FaviFake at 16:06, 26 March 2025

2025-03-26T16:06:05Z

FaviFake: /* Trivia */

2025-03-10T15:39:11Z

‎Trivia

FaviFake: /* Trivia */

2025-03-10T15:37:51Z

‎Trivia

FaviFake: A user of this wiki, T7685, created the graph of a reverse Fourier transform of the cat in this comic. Unfortunately, they don't have the shape of a normal cat. The resulting graphs are displayed below.
[[File:26-1.png|500px|gallery|Abso

2025-03-10T15:37:28Z

A user of this wiki, T7685, created the graph of a reverse Fourier transform of the cat in this comic. Unfortunately, they don't have the shape of a normal cat. The resulting graphs are displayed below.<br>[[File:26-1.png|500px|gallery|Abso

Certified nqh: /* Transcript */

2023-11-06T04:00:26Z

‎Transcript

@@ Line 3: / Line 3: @@
 | date      = November 2, 2005
 | title     = Fourier
-| before    = <big><big><span class="plainlinks">[https://web.archive.org/web/20060529063505/http://xkcd-drawings.livejournal.com/?skip=20#:~:text=Wednesday%27s%20Drawing%20%2D%20Fourier Original title</span>]: '''Wednesday's Drawing - Fourier'''</big></big>
+| ognumber  = 27
 | image     = fourier.jpg
 | titletext = That cat has some serious periodic components
 }}
-This was the twenty-seventh comic originally posted to [[LiveJournal]]. The previous one was [[25: Barrel - Part 4]], and the next one was [[27: Meat Cereals]].
+This was the twenty-seventh comic [[LiveJournal|originally posted to LiveJournal]]. The previous one was [[25: Barrel - Part 4]], and the next one was [[27: Meat Cereals]].
 ==Explanation==

@@ Line 23: / Line 23: @@
 ==Trivia==
-*A user of this wiki, [[User:T7685|T7685]], created the graph of the reverse Fourier transform of the cat in this comic. Unfortunately, they don't have the shape of a normal cat. The resulting graphs are displayed below.
+*A user of this wiki, [[User:T7685|T7685]], created the graph of the reverse Fourier transform of the cat in this comic. Unfortunately, they don't have the shape of a normal cat, because Randall didn't actually Fourier-transform a cat-like waveform. The resulting graphs are displayed below.
 :[[File:26-1.png|500px|gallery|Absolute value of cat]][[File:26-2.png|500px|gallery|Components of cat]]

@@ Line 23: / Line 23: @@
 ==Trivia==
 *A user of this wiki, [[User:T7685|T7685]], created the graph of the reverse Fourier transform of the cat in this comic. Unfortunately, they don't have the shape of a normal cat. The resulting graphs are displayed below.
 :[[File:26-1.png|500px|gallery|Absolute value of cat]][[File:26-2.png|500px|gallery|Components of cat]]

@@ Line 27: / Line 27: @@
 :[[File:26-1.png|500px|gallery|Absolute value of cat]][[File:26-2.png|500px|gallery|Components of cat]]
-*After the publication of this comic, David Zaslavsky published a [https://www.ellipsix.net/blog/2013/09/interpreting-fourier-transforms.html fan version] on his blog [https://www.ellipsix.net/ ellipsix informatics], interpreting the transformed cat.
+*David Zaslavsky published a [https://www.ellipsix.net/blog/2013/09/interpreting-fourier-transforms.html fan version] on his blog [https://www.ellipsix.net/ ellipsix informatics], interpreting the transformed cat.
 {{comic discussion}}

@@ Line 23: / Line 23: @@
 ==Trivia==
-{{incomplete|Someone who knows stuff please explain what they should've looked like.}}A user of this wiki, [[User:T7685|T7685]], created the graph of the reverse Fourier transform of the cat in this comic. Unfortunately, they don't have the shape of a normal cat. The resulting graphs are displayed below.<br>[[File:26-1.png|500px|gallery|Absolute value of cat]][[File:26-2.png|500px|gallery|Components of cat]]
+{{incomplete|Someone who knows stuff please explain what they should've looked like.}}
 {{comic discussion}}

@@ Line 8: / Line 8: @@
 }}
 This was the twenty-seventh comic originally posted to [[LiveJournal]]. The previous one was [[25: Barrel - Part 4]], and the next one was [[27: Meat Cereals]].
 A {{w|Fourier transform}} is a mathematical function transformation often used in physics and engineering. The theory is that any line graph can be represented as the sum of a bunch of sine waves of different frequencies and amplitudes. (The most obvious application is in analyzing a sound recording in terms of the different frequencies of sounds used.) So, for any line graph, you can produce another graph of the frequencies and their amplitudes. This can be done by evaluating an integral based on the function, which is referred to as "taking the Fourier transform" of the function. The form of the integral that needs to be taken is actually shown in the third line of the comic [[55: Useless]].

@@ Line 21: / Line 21: @@
 :Cueball: Hi, Dr. Elizabeth? Yeah, uh... I accidentally took the Fourier transform of my cat...
 :Cat: Meow!
 {{comic discussion}}

@@ Line 19: / Line 19: @@
 ==Transcript==
 :[Cueball is talking on the phone. A grotesque, spiky cat, who is apparently a Fourier transform, is looking at him.]
-:Cueball: Hi, Dr. Elizabeth? Yeah, uh ... I accidentally took the Fourier transform of my cat...
+:Cueball: Hi, Dr. Elizabeth? Yeah, uh... I accidentally took the Fourier transform of my cat...
 :Cat: Meow!

26: Fourier - Revision history

FaviFake: New template!!! Take a look, it has a new bottom navigation bar to browse the early xkcd comics in the original order, and a new style for the original title!

FaviFake at 10:40, 12 April 2025

JimTheFrog: Removed incomplete tag, since it's a joke that the reverse transform would recreate the cat. (It only would if Randall had actually Fourier-transformed a cat-like waveform, which of course he didn't.)

162.158.216.152: /* Trivia */ Unnecessary clarification of causality.

FaviFake: /* Trivia */ *After the publication of this comic, David Zaslavsky published a [https://www.ellipsix.net/blog/2013/09/interpreting-fourier-transforms.html fan version] on his blog [https://www.ellipsix.net/ ellipsix informatics], interpreting the transfor

FaviFake at 16:06, 26 March 2025

FaviFake: /* Trivia */

FaviFake: /* Trivia */

FaviFake: A user of this wiki, T7685, created the graph of a reverse Fourier transform of the cat in this comic. Unfortunately, they don't have the shape of a normal cat. The resulting graphs are displayed below.[[File:26-1.png|500px|gallery|Abso

Certified nqh: /* Transcript */

FaviFake: /* Trivia / After the publication of this comic, David Zaslavsky published a [https://www.ellipsix.net/blog/2013/09/interpreting-fourier-transforms.html fan version] on his blog [https://www.ellipsix.net/ ellipsix informatics], interpreting the transfor

FaviFake: A user of this wiki, T7685, created the graph of a reverse Fourier transform of the cat in this comic. Unfortunately, they don't have the shape of a normal cat. The resulting graphs are displayed below.
[[File:26-1.png|500px|gallery|Abso