Ultima Notation

SO WIP I'M NOT EVEN GONNA SAY IT

When writing a thing:

Ultima Notation: #

Where # is some sort of array in this notation.

#

Update: you can now write:

U # U

## Starter arrays

I will not write "Ultima Notation:" in here. But you normally would.

(0) =

G

G
64

64

{\displaystyle G^{G64}64}

(0) ≈

f

ω
2

(
G
64
)

{\displaystyle f\_{\omega +2}(G64)}

(a+1) =

G

(
a
)

(
a
)

{\displaystyle G^{(a)}(a)}

(a) ≈

f

ω
2

(
a
)

{\displaystyle f\_{\omega2}(a)}

( 0 ) = (((...(((0)))...))) (0) times

( 0 ) ≈

f

ω
2
1

(
G
64
)

{\displaystyle f\_{\omega 2+1}(G64)}

( a+1 ) = if b = (0) and c = ( a ) and ƒ(b) = ( 0 ), etc., then form a fast-iteration hierarchy, and

f

V

(
d
# )

f

d

(
d
)

{\displaystyle f\_{\mathbb {V} }(d)=f\_{d}(d)}

, then, ( a+1 ) =

f

V

c

(
b
)

{\displaystyle f\_{\mathbb {V} }^{c}(b)}

.

( a ) ≈

f

ω
3

(
a
)

{\displaystyle f\_{\omega3}(a)}

( 0 ) = ( ( ( ... ( ( ( 0 ) ) )... ) ) ) ( 0 ) times

( 0 ) ≈

f

ω
3
1

(
G
64
)

{\displaystyle f\_{\omega 3+1}(G64)}

etc.

## Actually starting (although that other part is real)

<0> = ( ... 0 ... ) (0) times

<0> ≈

f

ω

2

(
G
64
)

{\displaystyle f\_{\omega ^{2}}(G64)}

etc.

You can no longer simply type "<<a>>" and have it be equal to <b> where b = <a>, that will be later.

0<0> = if <a> = ƒ(a), and b = <0>, and use the same system as used earlier, then, 0<0> =

f

V

b

(
b
)

{\displaystyle f\_{\mathbb {V} }^{b}(b)}

0<0> ≈

f

ω

2

ω
1

(
G
64
)

{\displaystyle f\_{\omega ^{2}+\omega +1}(G64)}

etc.

I think I accidentally implied that

V

=
ω

{\displaystyle \mathbb {V} =\omega }

 (but that is a good thing).

### Some nesting

Get to 0,0<0>.

0,0<0> ≈

f

ω

2

ω
2

(
G
64
)

{\displaystyle f\_{\omega ^{2}+\omega +2}(G64)}

etc.

0<0>0 = 0,0,0...,0,0,0<0>0 0<0> times

0<0>0 ≈

f

ε

0

(
G
64
)

{\displaystyle f\_{\varepsilon \_{0}}(G64)}

etc.

0<0>0<0>0 = 0<0>0,0,0...,0,0,0 0<0>0 times

etc.

0<<0>>0 = 0<0>0<0>0<0>0...0<0>0<0>0<0>0 0<0>0 times

0<<0>>0 ≈

f

ε

0

ε

0

(
G
64
)

{\displaystyle f\_{\varepsilon \_{0}^{\varepsilon \_{0}}}(G64)}

etc.

## Spaced Bracket Array Ultima Notation

[0 0] = 0<<<...<<<0>>>...>>>0 0<0>0 times

etc.

[0 0] ≈

f

ε

1

(
G
64
)

{\displaystyle f\_{\varepsilon \_{1}}(G64)}

[<0> 0] = [0,0,0...,0,0,0 0] [0 0] times

etc.

[0 1] = [0<<<...<<<0>>>...>>>0 0] [0<0>0 0] times

etc.

[0 0 0] = [0 0<<<...<<<0>>>...>>>0] [0 0<0>0] times

[0 0 0] ≈

f

ζ

0

(
G
64
)

{\displaystyle f\_{\zeta \_{0}}(G64)}

etc.

## Multi-spaced Bracket Array Ultima Notation

[0 0] = [0 0 0...0 0 0] [0 0] times

[0 0] ≈

f

φ
(
ω
,
0
)

(
G
64
)

{\displaystyle f\_{\varphi (\omega ,0)}(G64)}

etc.

[0 0 0] and stuff like that is also valid.

[0 0] = [0 0 0...0 0 0] [0 0] times

etc.

## Hyperdimensional-nested Meta-multi-spaced Bracket Ultima Notation

[0&^&0] = [0 ... 0] [0 0] times

[0&^&0] ≈

f

ϑ
(

Ω

ω

)

(
G
64
)

{\displaystyle f\_{\vartheta (\Omega ^{\omega })}(G64)}

etc.

[0&^&&0] = [0&^&0&^&0&^&0...0&^&0&^&0&^&0] [0&^&0] times

[0&^&&0] ≈

f

ϑ
(

Ω

Ω

)

(
G
64
)

{\displaystyle f\_{\vartheta (\Omega ^{\Omega })}(G64)}

& is kind of like # in Cascading-E Notation.

## Meta-hyperdimensional Bracket Ultima Notation

etc.

[0&^^&0] ≈

f

ϑ
(

Ω

ω

)

(
G
64
)

{\displaystyle f\_{\vartheta (\Omega \_{\omega })}(G64)}

[0&^^&&0] does not use ">".

[0&^^&&0] ≈

f

ϑ
(

Ω

Ω

ω

)

(
G
64
)

{\displaystyle f\_{\vartheta (\Omega \_{\Omega \_{\omega }})}(G64)}

## Nesting Colon Bracket Ultima Notation

Now, we introduce the "Nesting Colon".

[0:0] = [0&{{1}}&0] (using {{1}} like you normally would)

etc.

## Multi-nesting-colon Bracket Ultima Notation

[0::0] = [0:0:0...0:0:0] [0:0] times

etc.

## Absolidus Bracket Ultima Notation

[0/0] = [0:::...:::0] [0:0] times

Multi-Absoliduses will work as well.

## Ultrabsolidus Bracket Ultima Notation

[0\0] = [0///...///0] [0/0] times

Multi-Ultrabsoliduses will work as well.

NOTE: [0\/0] = [0\0\0...\0\0\0]

WIP‼

## Hierarchical Ultrabsolidus Bracket Ultima Notation

\

0

{\displaystyle \_{0}}

 = /

\

1

{\displaystyle \_1}

= \

etc.

## Hierarchical Separator Bracket Ultima Notation

0

{\displaystyle \_{0}}

0] Nests Hierarchical Ultrabsoliduses [0\

0

{\displaystyle \_{0}}

0] times

etc.

Random valid example:

[7,1811

5
,
4
<<
6
>>
73

{\displaystyle |\_{5,4<<6>>73}}

36

57

{\displaystyle |\_{57}}

1220

9

{\displaystyle |\_{9}}

8,7,6,4,9:::1:2]

### Nesting it

[0

0

{\displaystyle ||\_{0}}

0] Nests Hierarchical Separators [0

0

{\displaystyle |\_{0}}

0] times

etc.

## Omni Ultima Notation

[0~0] = [0

⋯

0

0] [0

0

{\displaystyle |\_{0}}

0] times

Multi-~ is valid.

## ***ABSOLUTE ULTIMA NOTATION***

{0O0} = [0~~~...~~~0] [0~0] times

Multi-O is valid.

## ***THE FINAL GOOGOLISM***

***BATS AND RED POOP = {64OOO...OOO64} {64O64} times***