User blog:Wythagoras/Dollars Function

This blog post contains everything about Dollars Function, including FGH and numbers.

What to solve first?
In order of importance:

• numbers with the lowest & level (Ultimate Array Notation III)

• numbers with least & symbols (Ultimate Array Notation II)

• many &'s solve on lowest to highest & order (Ultimate Array Notation I)

• brackets with the lowest arrow level (Extended Array Notation)

• brackets with the least number of entries (Array Notation)

• brackets with the lowest level (Extended Bracket Notation)

• least nested bracket with the smallest brackets in it (Bracket Notation)

All brackets have the same a$.

Symbols
◆ can be anything

○ is a high-level bracket

◇ is a string of symbols, & and zeroes between them

◈ is a string of symbols

The black square is a group of brackets.

Number Prefixes
These prefixes are needed for groups of numbers.

Grand 2

Great 3

Bigrand 4

Grand Great 5

Bigreat 6

Great Bigrand 7

Grand Bigreat 8

Trigreat 9

Superior 10

Bisuperior 20

Glorious 100

Perfect 1000

Numbers Bracket Notation
Deal Group: 1000$[a]

a means prefix, for example Glorious Deal = 1000$[100]

Numbers Extended Bracket Notation
Dollars Group: 1000$[1000]_a

No groups:

BigDollars: 1000$[1000]_[1000]

DollarsBin: 1000$[1000]_[1000]_[1000]

FGH Linear Array Notation
Bachmann-Howard Ordinal?

FGH Extended Array Notation
\(\Omega_3\)?

Numbers Linear Array Notation and Extended Array Notation
Gold Group: 1000$[a,a,a...a,a,a] a a's

Gold Rush Group: 1000$[a\(\rightarrow_{a}\)a\(\rightarrow_{a}\)a...a\(\rightarrow_{a}\)a\(\rightarrow_{a}\)a] a a's

FGH Ultimate Array Notation
Coming soon

Numbers Ultimate Array Notation
Economy Group: 1000$0&a

Cash Group: 1000$0&_a[0]

Treasure Function
It marks the ultimate limit of my notation.

Current Definition:

treasure(0) = 1

treasure(a) = a$[0]&_{[0]}&_..._{[0]}&_{[0]}&_[0] with treasure(a-1) nests

Treasure Numbers
Bronze Treasure = treasure(2)

Silver Treasure = treasure(3)

Emerald Treasure = treasure(4)

Golden Treasure = treasure(5)

Diamond Treasure = treasure(1000)

Legend Treasure = treasure1000(1000)