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According to the semantic analysis of Geoffrey Leech, the associative meaning of an expression has to do with individual mental understandings of the speaker. They, in turn, can be broken up into five sub-types: connotative, collocative, social, affective and reflected (Mwihaki 2004).
In mathematics, the associative property [1] is a property of some binary operations that rearranging the parentheses in an expression will not change the result.
Associative learning is when a subject creates a relationship between stimuli (e.g. auditory or visual) or behavior and the original stimulus. The higher the concreteness of stimulus items, the more likely are they to evoke sensory images that can function as mediators of associative learning and memory.
In psychology, associative memory is defined as the ability to learn and remember the relationship between unrelated items. This would include, for example, remembering the name of someone or the aroma of a particular perfume. [ 1 ]
An operation that is mathematically associative, by definition requires no notational associativity. (For example, addition has the associative property, therefore it does not have to be either left associative or right associative.) An operation that is not mathematically associative, however, must be notationally left-, right-, or non ...
The definition is equivalent to saying that a unital associative R-algebra is a monoid object in R-Mod (the monoidal category of R-modules). By definition, a ring is a monoid object in the category of abelian groups; thus, the notion of an associative algebra is obtained by replacing the category of abelian groups with the category of modules.
Associationism is the idea that mental processes operate by the association of one mental state with its successor states. [1] It holds that all mental processes are made up of discrete psychological elements and their combinations, which are believed to be made up of sensations or simple feelings. [2]
The definition of a group does not require that = for all elements and in . If this additional condition holds, then the operation is said to be commutative, and the group is called an abelian group. It is a common convention that for an abelian group either additive or multiplicative notation may be used, but for a nonabelian group only ...