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Infix notation may also be distinguished from function notation, where the name of a function suggests a particular operation, and its arguments are the operands. An example of such a function notation would be S(1, 3) in which the function S denotes addition ("sum"): S(1, 3) = 1 + 3 = 4.
The result for the above examples would be (in reverse Polish notation) "3 4 +" and "3 4 2 1 − × +", respectively. The shunting yard algorithm will correctly parse all valid infix expressions, but does not reject all invalid expressions. For example, "1 2 +" is not a valid infix expression, but would be parsed as "1 + 2". The algorithm can ...
BASIC notation is a particular implementation of infix notation where functions require their parameters to be in brackets. This method was used from the 1980s to the 1990s in BASIC programmable calculators and pocket computers .
In computer science, an operator-precedence parser is a bottom-up parser that interprets an operator-precedence grammar.For example, most calculators use operator-precedence parsers to convert from the human-readable infix notation relying on order of operations to a format that is optimized for evaluation such as Reverse Polish notation (RPN).
Order of operations arose due to the adaptation of infix notation in standard mathematical notation, which can be notationally ambiguous without such conventions, as opposed to postfix notation or prefix notation, which do not need orders of operations.
An infix operator is positioned in between a left and a right operand, as in x+y. Some languages, most notably the C-syntax family, stretches this conventional terminology and speaks also of ternary infix operators (a?b:c). Theoretically it would even be possible (but not necessarily practical) to define parenthesization as a unary bifix operation.
Binary operations are often written using infix notation such as , +, or (by juxtaposition with no symbol) rather than by functional notation of the form (,). Powers are usually also written without operator, but with the second argument as superscript .
An infix is an affix inserted inside a word stem (an existing word or the core of a family of words). It contrasts with adfix , a rare term for an affix attached to the outside of a stem, such as a prefix or suffix .