User blog:MachineGunSuper/Continuation to the listaments

This page is a continuation to this blog post. The only reason I made a new one is because I think that I wrote way too many stuff on that one, so I decided to make a brand new one.

We have a looooong way to go till we finish this.

Quick reminder/summary of the basic functions:

'''The First Function - Listt! (n) (The Listament Function)'''

'''The Second Function - Listt!! [n] (The Free Listament Function  - repeated first function)'''

'''The Third Function - Listt!!! {n} (The Busy Listament Function - repeated second function)'''

'''The Fourth Function - Listt!!! { {n} } (The Very Busy Listament Function - repeated third function)'''

'''The Fifth Function - Listt! {[n]} (The Not Free Listament Function - repeated fourth function)'''

The sixth function - Defined as repeated fifth function

The seventh function - Defined as repeated sixth function

The n-th function - Defined as repeated n-1 -th function.

Ok, now let's actually get into what this blog post is made for.

The table of listament tables, also written as LTL

TL1, TL2, TL3, TL4,.......

TL3, TL4, TL5, TL6,......

TL5, TL6, TL7, TL8,........

TL7, TL8, TL9, TL10,......

This defines the following function: The Hyper-TL-Listament-Function

List(LTL,y)(n), where "n" is which table we will be picking from diagonalization, and "y" what element we will be picking from that table from diagonalization.

Example: List(LTL,y)(3) = ?

'''The third table in diagonalization is TL7, which means that we will be using the 7-th function. As the first function (The Listament Function) is written like: Listt! (n), let the 7-th function be written like: Listt! ([n]), just for the sake of simplicity '''

The seventh table:

'''Listt! ([1]), Listt! ([2]), Listt! ([3]), Listt! ([4]),......'''

'''Listt! ([3]), Listt! ([4]), Listt! ([5]), Listt! ([6]),......'''

'''Listt! ([5]), Listt! ([6]), Listt! ([7]), Listt! ([8]),.....'''

'''Listt! ([7]), Listt! ([8]0, Listt! ([9]), Listt! ([10]),.....'''

In the subscript of List(LTL,4)(3), after "LTL" we have 4, which means that we will be picking the fourth element from diagonalizing, which is  "Listt! ([10])"

'''So List(LTL,4)(3) = Listt! ([10])'''

Amplification of the table of listament tables

It is notaded with LTL**n

For example,

LTL**3 would look like this:

TL3, TL6, TL9, TL12,....

TL9, TL12, TL15, TL18,......

TL15, TL18, TL21, TL24,.....

TL21, TL24, TL27, TL30,.....

The function that we can make out of this is: The amplified-Hyper-TL-Listament-Function

List(LTL**x,y)(n)

Example:

List(LTL**3,5)(4) =?

LTL**3 =

TL3, TL6, TL9, TL12,....

TL9, TL12, TL15, TL18,......

TL15, TL18, TL21, TL24,.....

TL21, TL24, TL27, TL30,.....

The fourth element is TL30, which means that we will be using the 30-th function, from which we will be choosing the 5-th element of the diagonalization.And you can probably tell how this is solved from here, based on the examples that we gave earlier