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# Associativity

pertaining to or resulting from association.
tending to associate or unite.
Mathematics, Logic.

(of an operation on a set of elements) giving an equivalent expression when elements are grouped without change of order, as (a + b) + c = a + (b + c).
having reference to this property:
associative law of multiplication.

Historical Examples

It is subjected to certain conditions and, for example, to the rules of commutativity and associativity of addition.
The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method Henri Poincar

of, relating to, or causing association or union
(maths, logic)

being independent of the grouping of numbers, symbols, or terms within a given set, as in conjunction or in an expression such as (2 × 3) × 4 = 2 × (3 × 4)
referring to this property: the associative laws of arithmetic

1812, from associate (v.) + -ive.
associative
(ə-sō’shə-tĭv)
Of or relating to the property of an operation, such as addition or multiplication, which states that the grouping of numbers undergoing the operation does not change the result. For example, 3 + (4 + 5) is equal to (3 + 4) + 5. See also commutative, distributive.

programming
The property of an operator that says whether a sequence of three or more expressions combined by the operator will be evaluated from left to right (left associative) or right to left (right associative). For example, in Perl, the lazy and operator && is left associative so in the expression:
\$i >= 0 && \$x[\$i] >= 0 && \$y[\$x[\$i]] == 0
the left-most && is evaluated first, whereas = is right associative, so in
\$a = \$b = 42
the right-most assignment is performed first.
(2007-06-16)

Tagged:

• Assoluta

absolute; supreme: a prima ballerina assoluta.

• Assonance

resemblance of sounds. Also called vowel rhyme. Prosody. rhyme in which the same vowel sounds are used with different consonants in the stressed syllables of the rhyming words, as in penitent and reticence. partial agreement or correspondence. Historical Examples For purposes of assonance little use is made of words accented on a syllable preceding the […]

• Assonant

resemblance of sounds. Also called vowel rhyme. Prosody. rhyme in which the same vowel sounds are used with different consonants in the stressed syllables of the rhyming words, as in penitent and reticence. partial agreement or correspondence. Historical Examples It is written in the assonant, or vowel rhyme, that was universal among European nations in […]

• Assonantal

resemblance of sounds. Also called vowel rhyme. Prosody. rhyme in which the same vowel sounds are used with different consonants in the stressed syllables of the rhyming words, as in penitent and reticence. partial agreement or correspondence. Historical Examples In the modern Irish language the verse rhymes are assonantal. English As We Speak It in […]

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