All dimensions Wiki
All dimensions Wiki
(clarification for what i meant, more to come here)
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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|251x251px|An example of the EUSI.]]
 
[[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
 
We define a function
   
 
<math> \psi(\alpha) = \alpha + 1</math>
<math> \psi(\alpha) = \alpha + 1</math><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>
 
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<math> \psi(\alpha,\beta,\gamma \cdots \delta) = \psi(\alpha-1,\psi(\alpha,\beta,\gamma \cdots \delta),\gamma \cdots \delta)</math>
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<math> \psi(0,\beta,\gamma \cdots \delta) = \psi(\beta,\gamma \cdots \delta)</math>
   
 
<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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<math>\psi(\Omega^{\Omega^{\Omega}}) = \psi(\Omega^{\Omega^{\psi(\Omega^{\Omega^{\cdots}})}})</math>
 
<math>\psi(\Omega^{\Omega^{\Omega}}) = \psi(\Omega^{\Omega^{\psi(\Omega^{\Omega^{\cdots}})}})</math>
   
== EUSI equations ==
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== EUSI in number form==
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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]].
<math> \psi(\alpha+\beta)=\psi^{\beta+1}(\alpha)</math>
 
 
==Examples==
 
<math> \psi(\alpha)+\psi(\beta)=\psi(\alpha+\beta+1)=\psi(\psi(\alpha+\beta))</math>but in general:
 
 
<math>\psi^\gamma(\alpha)+\psi^\delta(\beta)=\psi^{\gamma+\delta}(\alpha+\beta)</math>, where <math>\gamma\ \text{and}\ \delta</math>signify iteration.
 
 
For ranks with more than one elements, we have to signify which one to iterate:
 
 
<math>\psi^{\gamma\rightarrow\alpha}(\alpha,\beta)=\psi(\psi^\gamma(\alpha),\beta)
 
</math>
 
 
If we say that <math> \psi(1,0)=\omega</math>
 
 
<math> \psi(1,\alpha)=\psi(1,0)+\psi(\alpha-1)\ \text{or}\ \psi(1,0)+\alpha
 
</math>
 
   
 
*[[Protoverse]] = <math>0</math>
== Examples ==
 
* [[Protoverse]] = <math>0</math>
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*[[Universe|Our Universe]] = <math> \psi(0)</math>
* [[Universe|Our Universe]] = <math> \psi(0)</math>
 
 
*[[Hyperverse]] = <math> \psi(4)</math>
 
*[[Hyperverse]] = <math> \psi(4)</math>
* [[Berryverse]] = <math> \psi(1,0) </math>
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*[[Berryverse]] = <math> \psi(1,0) </math>
* [[Omniverse]] = <math> \psi(1,0) </math>
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*[[Omniverse]] = <math> \psi(1,0) </math>
 
*[[The Pentagonal Hexacontahedron]] = <math> \psi(2,0)+\psi(540)
 
*[[The Pentagonal Hexacontahedron]] = <math> \psi(2,0)+\psi(540)
 
</math> (according to [[The Official Hierarchy|TOH]])
 
</math> (according to [[The Official Hierarchy|TOH]])
* [[The Box]] = <math> \psi(2,0) </math>
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*[[The Box]] = <math> \psi(2,0) </math>
* [[Absoverse]] = <math> \psi(1,0,0) </math>
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*[[Absoverse]] = <math> \psi(1,0,0) </math>
* [[Cloudverse]] = <math> \psi(2,0,0) </math>
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*[[Cloudverse]] = <math> \psi(2,0,0) </math>
 
*[[Nvgngyu]] = <math> \psi(3,0,0)</math>
 
*[[Nvgngyu]] = <math> \psi(3,0,0)</math>
   

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