This means that if a mathematical expression is preceded by one binary operator and followed by another, the operator higher on the list should be applied first.
12.
In real mathematics, binary operators are associative or nonassociative, and nonassociative operators are always parenthesized ( with rare exceptions like function application in the lambda calculus ).
13.
I think the term " commutative non-associative magma " probably came from the related notion of " commutative non-associative binary operator ".
14.
A function " h " on lists is a list homomorphism if there exists an associative binary operator \ oplus and neutral element e such that the following holds:
15.
:: I feel I should point out that the notion of a " left associative " binary operator is almost entirely limited to computer programming languages and grade-school arithmetic.
16.
B�hm trees are defined by a mapping of elements within a sequence of numbers with ordering ( d ", lh ) and a binary operator * to a set of symbols.
17.
Each leaf contains a string of characters, and each non-leaf node carries a binary operator that instructs the Bracmat evaluator how to handle the node's child trees.
18.
Stuck supports the typical binary operators ( i . e . +,-, *, and / ), and is known for its single character IO and program flow commands.
19.
The expression x " y + z is a shorthand for x + ( " y ) + z, where the only binary operator is +, which is associative.
20.
This can be overridden by using parentheses around parameter expressions using the > , > = or > > binary operators:
