All dimensions Wiki
All dimensions Wiki
Tag: Visual edit
(clarification for what i meant, more to come here)
Tag: Visual edit
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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.''
 
The '''Extended Universe Size Index''' ('''EUSI''') is a number, which indicates the ''deepest nestation of other verses within a specific verse.''
[[File:Extended universe size index.png|thumb|302x302px|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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We define a function
 
We define a function
   
  +
<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>
<math> \psi(\alpha) = \alpha + 1</math>
 
, now we extend it to
 
   
<math> \psi(\alpha,\beta,\gamma \cdots \delta) = \beta \to \psi(\alpha-1,\beta,\gamma \cdots \delta)</math>
 
fixed point.
 
 
<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>
   

Revision as of 10:34, 11 March 2021

The Extended Universe Size Index (EUSI) is a number, which indicates the deepest nestation of other 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.

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 equations

but in general:

, where signify iteration.

For ranks with more than one elements, we have to signify which one to iterate:

If we say that

Examples