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  2. Operator-precedence parser - Wikipedia

    en.wikipedia.org/wiki/Operator-precedence_parser

    rhs is 5; the next token is ==, with precedence 0. the inner while loop is not entered. lhs is assigned 14+5 = 19; the next token is ==, with precedence 0. the outer while loop is not left. op is == (precedence 0) and the input is advanced; rhs is 19; the next token is end-of-line, which is not an operator. the inner while loop is not entered.

  3. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    For example, multiplication is granted a higher precedence than addition, and it has been this way since the introduction of modern algebraic notation. [2] [3] Thus, in the expression 1 + 2 × 3, the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9.

  4. Common operator notation - Wikipedia

    en.wikipedia.org/wiki/Common_operator_notation

    The operator precedence is a number (from high to low or vice versa) that defines which operator takes an operand that is surrounded by two operators of different precedence (or priority). Multiplication normally has higher precedence than addition, [ 1 ] for example, so 3+4×5 = 3+(4×5) ≠ (3+4)×5.

  5. Operator associativity - Wikipedia

    en.wikipedia.org/wiki/Operator_associativity

    The associativity and precedence of an operator is a part of the definition of the programming language; different programming languages may have different associativity and precedence for the same type of operator. Consider the expression a ~ b ~ c. If the operator ~ has left associativity, this expression would be interpreted as (a ~ b) ~ c.

  6. Shunting yard algorithm - Wikipedia

    en.wikipedia.org/wiki/Shunting_yard_algorithm

    If the symbol is an operator, it is pushed onto the operator stack b), d), f). If the operator's precedence is lower than that of the operators at the top of the stack or the precedences are equal and the operator is left associative, then that operator is popped off the stack and added to the output g).

  7. Shift-reduce parser - Wikipedia

    en.wikipedia.org/wiki/Shift-Reduce_Parser

    Operator-precedence parser, a very simple numerical method that works for expressions but not general program syntax. Simple precedence parser, uses one large MxN table to find right and left ends. Used in PL360. [5] Does not handle common programming languages. Weak precedence parser, uses the precedence table only to find handles' right ends.

  8. List of set identities and relations - Wikipedia

    en.wikipedia.org/wiki/List_of_set_identities_and...

    One common convention is to associate intersection = {: ()} with logical conjunction (and) and associate union = {: ()} with logical disjunction (or), and then transfer the precedence of these logical operators (where has precedence over ) to these set operators, thereby giving precedence over .

  9. Ternary conditional operator - Wikipedia

    en.wikipedia.org/wiki/Ternary_conditional_operator

    The precedence of the conditional operator in Perl is the same as in C, not as in C++. This is conveniently of higher precedence than a comma operator but lower than the precedence of most operators used in expressions within the ternary operator, so the use of parentheses is rarely required. [13]