A slack take on self-analysis of several notations. And also explaining my own.
1) Jonathan Bowers' Array Notation
1.1) Jonathan Bowers' Extended Array Notation
2) Hyper E Notation
2.1) Extended Hyper E Notation
2.2) Cascading E Notation
3) Andre Joyce's Trivial work
3.1) Epstein's Unusual Notations
4) Extended Arrow Notation