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 computers as prefix notation ( e.g. + 2 2 ) or postfix notation ( e.g. 2 2 + ), but many programming languages use it due to its familiarity. Image File history File links No higher resolution available. ... Polish notation, also known as prefix notation was created by Jan Łukasiewicz. ... Postfix notation is a mathematical notation wherein every operator follows all of its operands. ... In mathematics, an operator is a function that performs some sort of operation on a number, variable, or function. ... This article or section does not cite its references or sources. ... In mathematics, an operand is one of the inputs (arguments) of an operator. ... An example of parsing a mathematical expression. ... Polish notation, also known as prefix notation was created by Jan Łukasiewicz. ... Reverse Polish notation (RPN) , also known as postfix notation, is an arithmetic formula notation, derived from the Polish notation introduced in 1920 by the Polish mathematician Jan Łukasiewicz. ... A programming language is an artificial language that can be used to control the behavior of a machine, particularly a computer. ...

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. These are explained in the order of operations article. In rhetoric, a parenthesis (plural: parentheses; from the Greek word παρενθεσις) is (according to the Oxford English Dictionary) An explanatory or qualifying word, clause, or sentence inserted into a passage with which it has not necessarily any grammatical connexion, and from which it is usually marked off by round or square... In arithmetic and algebra, when a number or expression is both preceded and followed by a binary operation, a rule is required for which operation should be applied first. ...

See also

• postfix notation, also called Reverse Polish notation
• prefix notation, also called Polish notation
• Shunting yard algorithm, used to convert infix notation to postfix notation or to a tree

Postfix notation is a mathematical notation wherein every operator follows all of its operands. ... It has been suggested that this article or section be merged with Reverse Polish notation. ... The Shunting yard algorithm is a method for parsing mathematical equations specified in infix notation. ...

External links

• RPN or DAL? A brief analysis of Reverse Polish Notation against Direct Algebraic Logic