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  2. Shunting yard algorithm - Wikipedia

    en.wikipedia.org/wiki/Shunting_yard_algorithm

    In computer science, the shunting yard algorithm is a method for parsing arithmetical or logical expressions, or a combination of both, specified in infix notation.It can produce either a postfix notation string, also known as reverse Polish notation (RPN), or an abstract syntax tree (AST). [1]

  3. Infix notation - Wikipedia

    en.wikipedia.org/wiki/Infix_notation

    Calculator input methods: comparison of notations as used by pocket calculators; 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; Operator (computer programming) Subject–verb–object word order

  4. Operator-precedence parser - Wikipedia

    en.wikipedia.org/wiki/Operator-precedence_parser

    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).

  5. Polish notation - Wikipedia

    en.wikipedia.org/wiki/Polish_notation

    Polish notation (PN), also known as normal Polish notation (NPN), [1] Łukasiewicz notation, Warsaw notation, Polish prefix notation or simply prefix notation, is a mathematical notation in which operators precede their operands, in contrast to the more common infix notation, in which operators are placed between operands, as well as reverse Polish notation (RPN), in which operators follow ...

  6. Calculator input methods - Wikipedia

    en.wikipedia.org/wiki/Calculator_input_methods

    Calculators that use infix notation tend to incorporate a dot-matrix display to display the expression being entered, frequently accompanied by a seven-segment display for the result of the expression. Because the expression is not evaluated until it is fully entered, there is provision for editing the entered expression at any point prior to ...

  7. Reverse Polish notation - Wikipedia

    en.wikipedia.org/wiki/Reverse_Polish_notation

    Video: Keys pressed for calculating eight times six on a HP-32SII (employing RPN) from 1991. Reverse Polish notation (RPN), also known as reverse Łukasiewicz notation, Polish postfix notation or simply postfix notation, is a mathematical notation in which operators follow their operands, in contrast to prefix or Polish notation (PN), in which operators precede their operands.

  8. Common operator notation - Wikipedia

    en.wikipedia.org/wiki/Common_operator_notation

    An operator which is non-associative cannot compete for operands with operators of equal precedence. In Prolog for example, the infix operator :-is non-associative, so constructs such as a :- b :- c are syntax errors. Unary prefix operators such as − (negation) or sin (trigonometric function) are typically associative prefix operators.

  9. SKI combinator calculus - Wikipedia

    en.wikipedia.org/wiki/SKI_combinator_calculus

    An if-then-else structure consists of a Boolean expression that is either true (T) or false (F) and two arguments, such that: Txy = x. and Fxy = y. The key is in defining the two Boolean expressions. The first works just like one of our basic combinators: T = K Kxy = x. The second is also fairly simple: F = SK SKxy = Ky(xy) = y