User blog:Wythagoras/Dollars function

This is the final blog post I will write about Dollars function ( I think ).

What to solve first?
In order of importance:

• brackets with the lowest legion level (Ultimate Array Notation V)

• brackets with least nested angle bracket (Ultimate Array Notation IV)

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

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

• many brackets solve on right to left & 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, eg. &, $, <[0]&3>, \  and [0] brackets between them.

◈ is a string of symbols

The black square is a group of brackets.

Bracket Notation - Extended Array Notation
In a picture to make it better readable



Ultimate Array Notation VI
Coming soon...

FGH
Bracket Notation: \(\varepsilon_0\)

Extended Bracket Notation: \(\gamma_0\)

Linear Array Notation: \(\vartheta(\varepsilon_{\Omega+1})\)

Extended Array Notation: \(\vartheta(\Omega_2)\)

Ultimate Array Notation I: \(\vartheta(\Omega_{\Omega_2})\)

Ultimate Array Notation II: \(\psi_I(I)\)

Ultimate Array Notation III: \(\psi_I(I*\omega)\)

Ultimate Array Notation IV: \(\psi_I(I^2)\)

Ultimate Array Notation V ≥ \(\psi_I(\varepsilon_{I+1})\)