associative - definition. What is associative
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%ما هو (من)٪ 1 - تعريف

PROPERTY OF BINARY OPERATIONS ALLOWING SEQUENCES OF OPERATIONS TO BE REGROUPED WITHOUT CHANGING THEIR VALUE
Associative; Associative (algebra); Associative law; Left associative operator; Associative operation; Associative Property (mathematics); Associative Property; Nonassociative; Associative multiplication; Associative Law; Ascociative; Association (mathematics); Associativty; Non-associativity; Associativity; Generalized associative law; Non-associative; Antiassociative algebra
  • The addition of real numbers is associative.

associative         
Associative thoughts are things that you think of because you see, hear, or think of something that reminds you of those things or which you associate with those things.
The associative guilt was ingrained in his soul...
ADJ: usu ADJ n
Associative         
·adj Having the quality of associating; tending or leading to association; as, the associative faculty.
associative         
¦ adjective
1. of or involving association.
2. Mathematics involving the condition that a group of quantities connected by operators gives the same result in whichever order the operations are performed, as long as the order of the quantities remains the same, e.g. (a . b) . c = a . (b . c).

ويكيبيديا

Associative property

In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. 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 (after rewriting the expression with parentheses and in infix notation if necessary), rearranging the parentheses in such an expression will not change its value. Consider the following equations:

Even though the parentheses were rearranged on each line, 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 the same as commutativity, which addresses whether the order of two operands affects the result. For example, the order does not matter in the multiplication of real numbers, that is, a × b = b × a, so we say that the multiplication of real numbers is a commutative operation. However, operations such as function composition and matrix multiplication are associative, but (generally) not commutative.

Associative operations are abundant in mathematics; in fact, many algebraic structures (such as semigroups and categories) explicitly require their binary operations to be associative.

However, many important and interesting operations are non-associative; some examples include subtraction, exponentiation, and the vector cross product. In contrast to the theoretical properties of real numbers, the addition of floating point numbers in computer science is not associative, and the choice of how to associate an expression can have a significant effect on rounding error.

أمثلة من مجموعة نصية لـ٪ 1
1. Normal gravity doesn‘t count in this magical, imagined arena, where everything is as free as music, as associative as poetry.
2. Simon Starling Describing his art as associative collage, Simon Starling takes existing objects and transforms them, usually using recycled materials.
3. It‘s a classic case of what he calls residual confounding, where the relationship between the chemistry and the problem may not be causal but it may be associative.
4. He describes his art as "associative collage" in which he takes an object and transforms or re–frames it through a rigorous process of inquiry.
5. The new network is expected to rely on state–owned Radio France Internationale and on Agence France–Presse for some of its output, through contracts or associative arrangements.