Association may refer to:
Voluntary associations, groups of individuals who voluntarily enter into an agreement to accomplish a purpose:
Associations in various fields of study:
In object-oriented programming, association defines a relationship between classes of objects that allows one object instance to cause another to perform an action on its behalf. This relationship is structural, because it specifies that objects of one kind are connected to objects of another and does not represent behaviour.
In generic terms, the causation is usually called "sending a message", "invoking a method" or "calling a member function" to the controlled object. Concrete implementation usually requires the requesting object to invoke a method or member function using a reference or pointer to the memory location of the controlled object.
The objects that are related via the association are considered to act in a role with respect to the association, if object's current state in the active situation allows the other associated objects to use the object in the manner specified by the role. A role can be used to distinguish two objects of the same class when describing its use in the context of the association. A role describes the public aspects of an object with respect to an association.
In mathematics, the associative property is a property of some binary operations. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
Within an expression containing two or more occurrences in a row of the same associative operator, the order in which the operations are performed does not matter as long as the sequence of the operands is not changed. That is, rearranging the parentheses in such an expression will not change its value. Consider the following equations:
Even though the parentheses were rearranged, the values of the expressions were not altered. Since this holds true when performing addition and multiplication on any real numbers, it can be said that "addition and multiplication of real numbers are associative operations".
Associativity is not to be confused with commutativity, which addresses whether a × b = b × a.
Associative operations are abundant in mathematics; in fact, many algebraic structures (such as semigroups and categories) explicitly require their binary operations to be associative.
Stop for a moment just to see where you're goin'
If you sure that is what you wanna know
Now that you think that the end is worth knowin'
Back to the start is where you wanna go
Hey, everybody is
Just about the same, just about the same
Hey, when you finally see
From where we came, from where we came
Ask me your question and I'll give you your answer
Are you part of everybody, yes, you are
Where do you think all these people have come from
Are you their brother, well, I guess you are
Hey, everybody is
Just about the same, just about the same
Hey, when you finally see
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