While studying Lisp documentation on S-expressions and their use of prefix notation, I accidentaly picked up the proper name for the notation I have used all these years (in imperative language land) - infix notation. As always, Wikipedia definition comes in handy…

Infix notation is the common arithmetic and logical formula notation, in which operators are written infix-style between the operands they act on (e.g. 2 + 2). It is not as simple to parse by computer as prefix notation ( e.g. + 2 2 ) or postfix notation ( e.g. 2 2 + ), but many programming languages use it to take advantage of its familiarity.

In infix notation, unlike in prefix or postfix notations, parentheses surrounding groups of operands and operators are necessary to indicate the intended order in which operations are to be performed. In the absence of parentheses, certain precedence rules determine the order of operations.