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The '''Extended Universe Size Index''' ('''EUSI''') is a number, which indicates the ''deepest nestation of other verses within a specific verse.''
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The '''Extended Universe Size Index''' ('''EUSI''') is a number, which indicates the ''deepest nestation of verses within a specific verse.''
[[File:Extended universe size index.png|thumb|302x302px|An example of the EUSI.]]
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[[File:Extended universe size index.png|thumb|251x251px|An example of the EUSI.]]
 
It can be used to tell the size of a universe, without needing to say its size, due to most verses having ''beyond infinite sizes'', or ordinals/cardinals that ''aren't named yet''.
 
It can be used to tell the size of a universe, without needing to say its size, due to most verses having ''beyond infinite sizes'', or ordinals/cardinals that ''aren't named yet''.
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EUSIs aren't confined to just verses either, they can be applied to other containers, boxes, structures (artifical or not), etc.
   
 
== Definition ==
 
== Definition ==
We define a function <math> \psi(\alpha) = \alpha + 1</math>, now we extend it to
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We define a function
   
<math> \psi(\alpha,\beta,\gamma \cdots \delta) = \beta \to \psi(\alpha-1,\beta,\gamma \cdots \delta)</math> fixed point.
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<math> \psi(\alpha) = \alpha + 1</math>
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<math> \psi(\alpha,\beta,\gamma \cdots \delta) = \psi(\alpha-1,\psi(\alpha,\beta,\gamma \cdots \delta),\gamma \cdots \delta)</math>
   
 
<math> \psi(0,\beta,\gamma \cdots \delta) = \psi(\beta,\gamma \cdots \delta)</math>
 
<math> \psi(0,\beta,\gamma \cdots \delta) = \psi(\beta,\gamma \cdots \delta)</math>
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<math> \psi(0,0,\gamma \cdots \delta) = \psi(1,\gamma \cdots \delta)</math>
 
<math> \psi(0,0,\gamma \cdots \delta) = \psi(1,\gamma \cdots \delta)</math>
   
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After this, we can create another extention, by borrowing some things from other functions, such as the veblen function, by asserting:
== Examples ==
 
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* [[Protoverse]] = <math>0</math>
 
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<math>\psi(\Omega^{\alpha}) = \psi(\overbrace{1,0,0 \cdots 0,0}^{\alpha})</math>
* [[Universe|The Universe]] = <math> \psi(1)</math>
 
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* [[Berryverse]] = <math> \psi(1,0) </math>
 
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<math>\psi(\Omega^{\Omega}) = \psi(\Omega^{\psi(\Omega^{\psi(\Omega^{\cdots})})})</math>
* [[Omniverse]] = <math> \psi(2,0) </math>
 
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* [[The Box]] = <math> \psi(\omega,0) </math>
 
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<math>\psi(\Omega^{\Omega^{\Omega}}) = \psi(\Omega^{\Omega^{\psi(\Omega^{\Omega^{\cdots}})}})</math>
* [[MegaBerryverse]] = <math> \psi(\mu,0) </math> where <math> \mu </math> is arbitrarily <math> \mu > \omega </math>
 
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* [[Absoverse]] = <math> \psi(1,0,0) </math>
 
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== EUSI in number form==
* [[Cloudverse]] - <math> \psi(2,0,0) </math>
 
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EUSIs can obviously be broken down into ordinals / cardinals after they've been fully decomposed. The article of these is [[User blog:Leftunknown/EUSI equivalences|here]].
 
==Examples==
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*[[Protoverse]] = <math>0</math>
 
*[[Universe|Our Universe]] = <math> \psi(0)</math>
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*[[Hyperverse]] = <math> \psi(4)</math>
 
*[[Berryverse]] = <math> \psi(1,0) </math>
 
*[[Omniverse]] = <math> \psi(1,0) </math>
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*[[The Pentagonal Hexacontahedron]] = <math> \psi(2,0)+\psi(540)
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</math> (according to [[The Official Hierarchy|TOH]])
 
*[[The Box]] = <math> \psi(2,0) </math>
 
*[[Absoverse]] = <math> \psi(1,0,0) </math>
 
*[[Cloudverse]] = <math> \psi(2,0,0) </math>
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*[[Nvgngyu]] = <math> \psi(3,0,0)</math>
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[[Category:Leftunknown pages]]
 
[[Category:Leftunknown pages]]
 
[[Category:Verse]]
 
[[Category:Verse]]
 
[[Category:End-All-Be-All]]
 
[[Category:End-All-Be-All]]
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[[Category:Index]]

Revision as of 06:28, 22 April 2021

The Extended Universe Size Index (EUSI) is a number, which indicates the deepest nestation of verses within a specific verse.

An example of the EUSI.

It can be used to tell the size of a universe, without needing to say its size, due to most verses having beyond infinite sizes, or ordinals/cardinals that aren't named yet.

EUSIs aren't confined to just verses either, they can be applied to other containers, boxes, structures (artifical or not), etc.

Definition

We define a function

After this, we can create another extention, by borrowing some things from other functions, such as the veblen function, by asserting:

EUSI in number form

EUSIs can obviously be broken down into ordinals / cardinals after they've been fully decomposed. The article of these is here.

Examples