asocativitetin
Asocativitetin, often referred to as associativity, is a fundamental property in mathematics and computer science that describes how operations can be grouped within an expression without changing the result. For a binary operation * on a set S, it is associative if for all elements a, b, and c in S, the equation (a * b) * c = a * (b * c) holds true. This means the order in which operations are performed, when there are multiple instances of the same operation, does not affect the final outcome.
Common examples of associative operations include addition and multiplication of numbers. For instance, with addition, (2
However, not all operations are associative. Subtraction is a well-known example where associativity does not hold: