The Concepts and Confusions of Pre-fix, In-fix, Post-fix and Fully
Functional Notations
http://xahlee.org/UnixResource_dir/writ/notations.html

A side note: the terminology “Algebraic” Notation is a misnomer.
It seems to imply that such notations have something to do with the
branch of math called algebra while other notation systems do not.
The reason the name Algebraic Notation is used because when the
science of algebra was young, around 1700s mathematicians are dealing
with equations using symbols like “+ × =” written out similar to
the way we use them today. This is before the activities of
systematic investigation into notation systems as necessitated in the
studies of logic in 1800s or computer languages in 1900s. So, when
notation systems are actually invented, the conventional way of
infixing “+ × =” became known as algebraic because that's what
people think of when seeing them.

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