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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;!-- Mirrored from Homestar Runner Wiki (hrwiki.org) via Wayback Machine; HTML converted to wikitext. Formatting may be imperfect. --&amp;gt;&lt;br /&gt;
[[Strong Bad]] periodically invents &amp;#039;&amp;#039;&amp;#039;bogus mathematical theorems&amp;#039;&amp;#039;&amp;#039; to illustrate his responses to fans on his [[Strong Bad Email]] show. Another was introduced to players of the third episode of [[Strong Bad&amp;#039;s Cool Game for Attractive People|Strong Bad&amp;#039;s Cool Game For Attractive People]]. Two more were also added in the game [[Poker Night at the Inventory]].&lt;br /&gt;
&lt;br /&gt;
{| id=&amp;quot;toc&amp;quot; class=&amp;quot;wikitable toc&amp;quot; summary=&amp;quot;Contents&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;div id=&amp;quot;toctitle&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span id=&amp;quot;contents&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&lt;br /&gt;
== Contents ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
* [#The_Transitive_Butt_Property 1 The Transitive Butt Property]&lt;br /&gt;
* [#The_Property_of_Ones 2 The Property of Ones]&lt;br /&gt;
* [#Coolguy.27s_Law 3 Coolguy&amp;#039;s Law]&lt;br /&gt;
* [#The_Cooldratic_Formula 4 The Cooldratic Formula]&lt;br /&gt;
* [#Inverse_Discount_Property 5 Inverse Discount Property]&lt;br /&gt;
* [#Poker_Night_at_the_Inventory 6 Poker Night at the Inventory]&lt;br /&gt;
** [#The_Reflexive_Property 6.1 The Reflexive Property]&lt;br /&gt;
** [#The_Inverse_Property_of_Luck-Have 6.2 The Inverse Property of Luck-Have]&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span id=&amp;quot;the-transitive-butt-property&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&lt;br /&gt;
== &amp;lt;span class=&amp;quot;mw-headline&amp;quot;&amp;gt;The Transitive Butt Property&amp;lt;/span&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;thumb tright&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;thumbinner&amp;quot; style=&amp;quot;width:182px;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[File:sbemail3.PNG|[[File:sbemail3.PNG|180px|thumb]]]]&lt;br /&gt;
&amp;lt;div class=&amp;quot;thumbcaption&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;magnify&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[File:sbemail3.PNG|[[File:magnify-clip.png|15px|thumb]]]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;amp;quot;Don&amp;#039;t you remember your algebra, man?&amp;amp;quot;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
When the sender of email [[butt IQ]] is skeptical that any sort of IQ test exists to determine whether or not someone&amp;#039;s butt is stupid, Strong Bad quickly refutes his ignorance with the following property:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/5/5/7/557cd3caca8a68ef3be9b393b98f1878.png]&lt;br /&gt;
&lt;br /&gt;
Symbolically, this can be written as&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/9/6/2/96299c68bd72e10211fa70b09c57c25e.png]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;clear:both;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;span id=&amp;quot;the-property-of-ones&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&lt;br /&gt;
== &amp;lt;span class=&amp;quot;mw-headline&amp;quot;&amp;gt;The Property of Ones&amp;lt;/span&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;thumb tright&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;thumbinner&amp;quot; style=&amp;quot;width:182px;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[File:sbemail39.PNG|[[File:sbemail39.PNG|180px|thumb]]]]&lt;br /&gt;
&amp;lt;div class=&amp;quot;thumbcaption&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;magnify&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[File:sbemail39.PNG|[[File:magnify-clip.png|15px|thumb]]]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;amp;quot;The colder it is, the more of a one it is.&amp;amp;quot;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
When a fan asks Strong Bad if he&amp;#039;s ever had a [[Cold One|one that was not cold]], he responds by stating the [[property of ones|Property of Ones]]: &amp;amp;quot;The ONE&amp;lt;sup&amp;gt;itude&amp;lt;/sup&amp;gt; is directly proportional to the Cold&amp;lt;sup&amp;gt;itude&amp;lt;/sup&amp;gt; of the ONE.&amp;amp;quot; Here follows a brief analysis of this statement.&lt;br /&gt;
&lt;br /&gt;
We consider a One with the following properties:&lt;br /&gt;
&lt;br /&gt;
* [https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/7/c/7/7c73059520fa2b3ae395f2b4f52a8570.png] is a measure of the Oneness of the One.&lt;br /&gt;
&lt;br /&gt;
* [https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/5/9/e/59e066a8320ded7dc24fa089a9516f79.png] is the temperature of the One.&lt;br /&gt;
&lt;br /&gt;
* [https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/e/3/d/e3d55b71dcdd90b414115a3fbfe3e7dd.png] is the coldness of the One.&lt;br /&gt;
&lt;br /&gt;
The Oneness of the One can be determined by the following simple formula:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/6/a/5/6a54a91a5857fb13d46781bee689227e.png] .&lt;br /&gt;
&lt;br /&gt;
Naturally, a One has less coldness as its temperature increases, and it approaches having no coldness at all as its temperature approaches infinity. Likewise, a One approaches having infinite coldness as its temperature approaches [[absolute zero]]:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/2/9/d/29dd84f7bc684c37cd8b0b1f4c6e14d3.png] .&lt;br /&gt;
&lt;br /&gt;
Thus, a One&amp;#039;s coldness is inversely related to its temperature:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/b/4/b/b4b247b51a3ccc5b72e056a94507b222.png] .&lt;br /&gt;
&lt;br /&gt;
As a result, we can rewrite our expression for Oneness in terms of temperature:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/3/4/3/343a5abfd49cfe96c3df41e076b48831.png] ,&lt;br /&gt;
&lt;br /&gt;
so that [https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/4/7/7/477642acc3c72701f27589ebc4123eab.png] is a proportionality constant (in units of Oneness times [[Kelvin|kelvins]]) that uniquely determines the Oneitude of a One given its temperature. If a One is not so cold, the temperature will be higher, thus minimizing its Oneness. In Strong Bad&amp;#039;s own words, this can be simply stated:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/9/7/5/9751a4706e8092391677953340ff21d8.png]&lt;br /&gt;
&lt;br /&gt;
The inverse is also true:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/4/f/a/4faaea11f4710af7ece19a3f8b8ef792.png]&lt;br /&gt;
&lt;br /&gt;
How large the proportional relation and what units are used for coldness and Oneness are undefined.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span id=&amp;quot;coolguys-law&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&lt;br /&gt;
== &amp;lt;span class=&amp;quot;mw-headline&amp;quot;&amp;gt;Coolguy&amp;#039;s Law&amp;lt;/span&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;thumb tright&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;thumbinner&amp;quot; style=&amp;quot;width:182px;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[File:Coolguy&amp;#039;s Law.png|[[File:Coolguy&amp;#039;s_Law.png|180px|thumb]]]]&lt;br /&gt;
&amp;lt;div class=&amp;quot;thumbcaption&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;magnify&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[File:Coolguy&amp;#039;s Law.png|[[File:magnify-clip.png|15px|thumb]]]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;amp;quot;You got nothing to lose!&amp;amp;quot;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
In order to assist an email sender who was having difficulty determining which [[slumber party|slumber parties]] are worth attending, Strong Bad stated an important relation between the popularity of a potential party host and the amount of fun available to be had:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/0/5/d/05d5ea744aef2c25c07781a8281967f1.png]&lt;br /&gt;
&lt;br /&gt;
This law is illustrated symbolically by the following equation:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/c/3/8/c3839f1ac0de3175a44cef59aaa040b2.png]&lt;br /&gt;
&lt;br /&gt;
This means that the less popular the host is (in a numeric form), the more fun (again in numeric form) you can have at their house. How the numbers are determined is unclear.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span id=&amp;quot;the-cooldratic-formula&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&lt;br /&gt;
== &amp;lt;span class=&amp;quot;mw-headline&amp;quot;&amp;gt; The Cooldratic Formula&amp;lt;/span&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
Introduced in [[Baddest of the Bands]], the entirety of the Cooldratic Formula is this:&lt;br /&gt;
&lt;br /&gt;
[https://web.archive.org/web/20250101000000im_/http://www.hrwiki.org/w/images/math/0/4/b/04b4d8ff4a4624a5b030bf1b29f99579.png]&lt;br /&gt;
&lt;br /&gt;
Not surprisingly, Strong Bad introduced this formula shortly after pouring [[Butter|butter]] into a fog machine full of dry ice. He also briefly acknowledges the status of his formulas as bogus by stating &amp;amp;quot;I&amp;#039;m no mathematician&amp;amp;quot;.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span id=&amp;quot;inverse-discount-property&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&lt;br /&gt;
== &amp;lt;span class=&amp;quot;mw-headline&amp;quot;&amp;gt; Inverse Discount Property &amp;lt;/span&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
This (unnamed) property was posted to [[@StrongBadActual|Twitter]] on &amp;lt;span style=&amp;quot;display:none&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;[[@StrongBadActual Tweets 2018|July 28, 2018]]. It states that a video game&amp;#039;s discount is inversely proportional to how awesome it is, using &amp;#039;&amp;#039;[[Strong Bad&amp;#039;s Cool Game for Attractive People]]&amp;#039;&amp;#039; as an example. Since the game was selling for 70% off its total price, it can be assumed that the game is 70% awesome.&lt;br /&gt;
&lt;br /&gt;
According to a reply to the tweet, the remainder of the percent consists of &amp;amp;quot;flex bux points&amp;amp;quot;, which may be used to add awesomeness to your life.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span id=&amp;quot;poker-night-at-the-inventory&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&lt;br /&gt;
== &amp;lt;span class=&amp;quot;mw-headline&amp;quot;&amp;gt;Poker Night at the Inventory&amp;lt;/span&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
Two minor theorems were included in &amp;#039;&amp;#039;[[Poker Night at the Inventory]]&amp;#039;&amp;#039;, but without any equations or mathematical proofs to them.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span id=&amp;quot;the-reflexive-property&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&lt;br /&gt;
=== &amp;lt;span class=&amp;quot;mw-headline&amp;quot;&amp;gt;The Reflexive Property&amp;lt;/span&amp;gt; ===&lt;br /&gt;
&lt;br /&gt;
Strong Bad may say sometimes to Max and the Player when calling a bet: &amp;amp;quot;I don&amp;#039;t like either of you, but maybe calling you will cancel that out. You know, the Reflexive Property.&amp;amp;quot;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span id=&amp;quot;the-inverse-property-of-mw51&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&lt;br /&gt;
=== &amp;lt;span class=&amp;quot;mw-headline&amp;quot;&amp;gt;The Inverse Property of [[Noun-Verb|Luck-Have]]&amp;lt;/span&amp;gt; ===&lt;br /&gt;
&lt;br /&gt;
Upon the Player winning, Strong Bad may say: &amp;amp;quot;Yeah, you&amp;#039;re lucky now, but you know you&amp;#039;re gonna get run over by a truck when you leave here. It&amp;#039;s the Inverse Property of Luck-Have.&amp;amp;quot;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;clear:both;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div style=&amp;quot;clear:both;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div id=&amp;quot;catlinks&amp;quot; class=&amp;quot;catlinks&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div id=&amp;quot;mw-normal-catlinks&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[/wiki/Special:Categories Categories]: &amp;lt;span dir=&amp;quot;ltr&amp;quot;&amp;gt;[[Category:Strong Bad Email Research|Strong Bad Email Research]]&amp;lt;/span&amp;gt; | &amp;lt;span dir=&amp;quot;ltr&amp;quot;&amp;gt;[[Category:Strong Bad Email running gags|Strong Bad Email running gags]]&amp;lt;/span&amp;gt; | &amp;lt;span dir=&amp;quot;ltr&amp;quot;&amp;gt;[[Category:Research|Research]]&amp;lt;/span&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;/div&gt;</summary>
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