User:Bubby3/My notation

This is how my notation works

The dots represent the rest of the equation

A^+^B=A^^^^^...^^^^^A with B arrows

A^...^^B=A^...^(A^...^(A^...^(...(.A^...^A)))) with B copies of A

A^...^^^=A^...^(A^...^^(A^...^^(...(...A^...^^)))) with B copies of A

A^...^+^B=A^...^^^...^^^B with B carrots

A^++^=B=A^+^+^...^+^+^A with B +'s

A^...^++^B=A^...^+^+^+^...^+^+^+^B with B +'s

A^+++^B=A^++^++^...^++^++^A with B ++'s

A^*^B=A^+++...+++^A with B +'s

A^...^*^B=A^...^+++...+++A with B +'s

A^**^=B=A^*^*^...^*^*^A with B +'s

A^...^**^B=A^...^*^*^*^...^*^*^*^B with B *'s

A^***^B=A^**^**^...^++^++^A with B ++'s

Comparison with BEAF:

I just am going to do the milestone functions

A^+^B={A,A,B}

A^+^^B={A,B,1,2}

A^+^+^^B={A,B,1,3}

A^+^+^+^^B={A,B,1,4}

A^+^+^+^+^B~{A,B,1,5}

A^++^^B~{A,B,1,1,2}

A^++^^^B~{A,B,2,1,2}

A^++^+^^B~{A,B,1,2,2}

A^++^+^^^B~{A,B,2,2,2}