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polish notation (dict)

Polish Notation

Polish notation, also known as prefix notation, is a method of mathematical expression. It was created by Jan Łukasiewicz. Its distinguishing feature is that it places operators before operands. For example, this expression:
  + 1 2 
evaluates to 3. Polish notation is not limited to only two values, nor to just addition. For example, this expression:
  ( (+ 0 1) (+ 2 3))  
evaluates to 5. While the examples above use parentheses, one of the benefits of Polish notation is that, assuming the arity of each operator is known, parentheses are unnecessary: the order of operations is unique and easy to determine, provided that the expression is well-formed. For example, assuming and + are binary, then this expression:
   + 0 1 + 2 3 
can mean only this:
  ( (+ 0 1) (+ 2 3)) 
Polish notation is used in some computer programming languages, including Lisp and its dialect Scheme.

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