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  2. Shunting yard algorithm - Wikipedia

    en.wikipedia.org/wiki/Shunting_yard_algorithm

    The shunting yard algorithm can also be applied to produce prefix notation (also known as Polish notation). To do this one would simply start from the end of a string of tokens to be parsed and work backwards, reverse the output queue (therefore making the output queue an output stack), and flip the left and right parenthesis behavior ...

  3. Infix notation - Wikipedia

    en.wikipedia.org/wiki/Infix_notation

    Infix notation is more difficult to parse by computers than prefix notation (e.g. + 2 2) or postfix notation (e.g. 2 2 +). However many programming languages use it due to its familiarity. It is more used in arithmetic, e.g. 5 × 6.

  4. 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.

  5. Prefix - Wikipedia

    en.wikipedia.org/wiki/Prefix

    Adding a prefix to the beginning of an English word changes it to a different word. For example, when the prefix un-is added to the word happy, it creates the word unhappy. The word prefix is itself made up of the stem fix (meaning "attach", in this case), and the prefix pre-(meaning "before"), both of which are derived from Latin roots.

  6. Postfix - Wikipedia

    en.wikipedia.org/wiki/Postfix

    Postfix may refer to: Postfix (linguistics) , an affix which is placed after the stem of a word Postfix notation , a way of writing algebraic and other expressions

  7. 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 ...

  8. Binary expression tree - Wikipedia

    en.wikipedia.org/wiki/Binary_expression_tree

    A binary expression tree is a specific kind of a binary tree used to represent expressions.Two common types of expressions that a binary expression tree can represent are algebraic [1] and boolean.

  9. SKI combinator calculus - Wikipedia

    en.wikipedia.org/wiki/SKI_combinator_calculus

    Because this defines T, F, NOT (as a postfix operator), OR (as an infix operator), and AND (as a postfix operator) in terms of SKI notation, this proves that the SKI system can fully express Boolean logic. As the SKI calculus is complete, it is also possible to express NOT, OR and AND as prefix operators: