1856: Existence Proof - Revision history

Maplestrip: /* Explanation */ Shit just got real.

2024-07-17T14:12:56Z

‎Explanation: Shit just got real.

172.71.242.12: Undo revision 337908 by 172.69.23.173 (talk) Supposition/wishful thinking.

2024-03-22T10:28:15Z

Undo revision 337908 by 172.69.23.173 (talk) Supposition/wishful thinking.

172.69.23.173: /* Explanation */

2024-03-22T02:29:45Z

‎Explanation

Natg19: Undo revision 277145 by Donald Trump (talk)

2022-05-26T17:55:35Z

Undo revision 277145 by Donald Trump (talk)

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Donald Trump: Crapped page

2022-05-26T16:47:57Z

Crapped page

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Davidy22: Reverted edits by Explain xkcd server admin (talk) to last revision by Jacky720

2022-05-21T02:50:45Z

Reverted edits by Explain xkcd server admin (talk) to last revision by Jacky720

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Explain xkcd server admin at 00:02, 21 May 2022

2022-05-21T00:02:46Z

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Jacky720: rv

2022-05-04T23:48:39Z

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Ex Kay Cee Dee at 23:48, 4 May 2022

2022-05-04T23:48:36Z

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Jacky720: rv

2022-05-04T22:32:45Z

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@@ Line 18: / Line 18: @@
 The phrase "''We ride''" is commonly used in rallying battle cries, particularly in fantasy or medieval dramas where characters are preparing to enter combat on horseback. Variations of the phrase are used several times in ''{{w|The Lord of the Rings}}'', for example.
-The title text refers to {{w|Real Analysis}}, a branch of mathematics dealing with {{w|real number}}s and real-valued functions (as opposed to studies dealing with {{w|integer}}s, {{w|rational number}}s, {{w|imaginary number}}s in the complex plane, etc.). As the speaker implies, Real Analysis is supposed to remain confined to the theoretical realm of mathematics; certainly nobody signing up for such a class would ever expect to be embroiled in a crusade against intangible constructs! Taken out of its mathematical context, "analysis" literally means "breaking down", referring to the teacher's intention to cut things up with a sword. The use of the uncommon word "realer" conveys that the situation has suddenly developed unusually high stakes. This nuance would be lost if the word "realer" were replaced with the technically correct phrasing of "more real".
+The title text refers to {{w|Real Analysis}}, a branch of mathematics dealing with {{w|real number}}s and real-valued functions (as opposed to studies dealing with {{w|integer}}s, {{w|rational number}}s, {{w|imaginary number}}s in the complex plane, etc.). As the speaker implies, Real Analysis is supposed to remain confined to the theoretical realm of mathematics; certainly nobody signing up for such a class would ever expect to be embroiled in a crusade against intangible constructs! Taken out of its mathematical context, "analysis" literally means "breaking down", referring to the teacher's intention to cut things up with a sword. The use of the uncommon word "realer" conveys that the situation has suddenly developed unusually high stakes (as in the phrase "[https://www.urbandictionary.com/define.php?term=shit%20just%20got%20real shit just got real]"). This nuance would be lost if the word "realer" were replaced with the technically correct phrasing of "more real".
 This may be a continuation of [[982: Set Theory]], where numbers were "executed" to prove a point.

@@ Line 14: / Line 14: @@
 The full statement itself seems like a solution to some kind of {{w|function composition}} problem. Seems like what the class has proven is that if you apply certain function G(x) to a starting point of function f(0), then what it will do is just give you a value of f(x) at some other value of x, existence of which is stated to be proven. The sentence "There exists some number x such that f(x)=G(f(0))=1." boils down to "There is an x such that f(x)=1". The part with G(f(0)) is only a way to arrive at 1. For some reason there is an x that satisfies f(x)=G(f(0)), and since G(f(0))=1, it is equivalent to f(x)=1.
-In the comic, [[Miss Lenhart]] (and students) take this one step further, by taking up arms to destroy the function value, which they have proven to exist. In the last panel, some students off screen begin to wonder if they are in the right class, as normal math classes do not take up swords to fight abstract concepts.{{Citation needed}} [[Black Hat|Another student]] remarks that they are finally in the right math class, implying that this is the kind of thing they wanted from their math curriculum all along.
+In the comic, [[Miss Lenhart]] (and students) take this one step further, by taking up arms to destroy the function value, which they have proven to exist. In the last panel, some students off screen begin to wonder if they are in the right class, as normal math classes do not take up swords to fight abstract concepts.{{Citation needed}} Another student remarks that they are finally in the right math class, implying that this is the kind of thing they wanted from their math curriculum all along.
 The phrase "''We ride''" is commonly used in rallying battle cries, particularly in fantasy or medieval dramas where characters are preparing to enter combat on horseback. Variations of the phrase are used several times in ''{{w|The Lord of the Rings}}'', for example.

@@ Line 14: / Line 14: @@
 The full statement itself seems like a solution to some kind of {{w|function composition}} problem. Seems like what the class has proven is that if you apply certain function G(x) to a starting point of function f(0), then what it will do is just give you a value of f(x) at some other value of x, existence of which is stated to be proven. The sentence "There exists some number x such that f(x)=G(f(0))=1." boils down to "There is an x such that f(x)=1". The part with G(f(0)) is only a way to arrive at 1. For some reason there is an x that satisfies f(x)=G(f(0)), and since G(f(0))=1, it is equivalent to f(x)=1.
-In the comic, [[Miss Lenhart]] (and students) take this one step further, by taking up arms to destroy the function value, which they have proven to exist. In the last panel, some students off screen begin to wonder if they are in the right class, as normal math classes do not take up swords to fight abstract concepts.{{Citation needed}} Another student remarks that they are finally in the right math class, implying that this is the kind of thing they wanted from their math curriculum all along.
+In the comic, [[Miss Lenhart]] (and students) take this one step further, by taking up arms to destroy the function value, which they have proven to exist. In the last panel, some students off screen begin to wonder if they are in the right class, as normal math classes do not take up swords to fight abstract concepts.{{Citation needed}} [[Black Hat|Another student]] remarks that they are finally in the right math class, implying that this is the kind of thing they wanted from their math curriculum all along.
 The phrase "''We ride''" is commonly used in rallying battle cries, particularly in fantasy or medieval dramas where characters are preparing to enter combat on horseback. Variations of the phrase are used several times in ''{{w|The Lord of the Rings}}'', for example.