Expressions notations

What kind of notations for expression syntax do you know? Basincs are:

• INFIX: 5 * 2 + 3 = 13 (implicit precedence)
• POSTFIX: 5 2 * 3 + (stack based, explicit precedence)
• PREFIX: + 3 * 5 2 (reversed postfix)
• NESTED: (+ (* 5 2) 3) (lisp/s-expressions)
• FUNCTIONAL: +( *(5 2) 3) (m-expression)
• MATCHFIX: (* (+ 5 2 +) 3 *) (remembed "end/end if/fi"?)

Another one?

Some of them are very easy for implementation and parsing is trivial (prefix/postfix/nested/matchfix), but more human readable is infix which leads to creation of parsing theory.

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