associative

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English - English
(of an operator * ) such that, for any operands a, b, c , (a * b) * c = a * (b * c)
Addressable by a key more complex than an integer index

Associative memories were once given considerable attention.

Property of Addition a + (b+c) = (a+b) + c
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. reminding you of something else
Having the quality of associating; tending or leading to association; as, the associative faculty
relating to or resulting from association; "associative recall
A dyadic operation in which two sequential operations on three arguments can first operate on either the first two or the last two arguments, producing the same result in either case: (a + b) + c = a + (b + c) Also see: commutative and distributive
{s} pertaining to association, connective
characterized by or causing or resulting from association; "associative learning"
relating to or resulting from association; "associative recall"
such that, for any operands a, b, c , (a * b) * c = a * (b * c)
characterized by or causing or resulting from association; "associative learning" relating to or resulting from association; "associative recall
The property that an expression, in a fixed order, will produce the same result no matter how adjacent items are grouped Example: (a+b)+c = a+(b+c)
different grouping gives same result -- "Associative Property" (62)
1 In abstract algebra, a dyadic operation in which two sequential operations on three arguments can first operate on either the first two or the last two arguments, producing the same result in either case: (a + b) + c = a + (b + c) 2 In algebra, the associative law for addition and multiplication The algebraic law for evaluating the result of grouping terms or factors in different ways, as in conventional arithmetic: a + (b + c) = (a + b) + c a * (b * c) = (a * b) * c Also see: commutative and distributive
associative array
One of a number of array-like data structures where the indices (called keys) are not limited to integers
associative arrays
plural form of associative array
associative law
Two closely related laws of number operations. In symbols, they are stated: a + (b + c) = (a + b) + c, and a(bc) = (ab)c. Stated in words: The terms or factors may be associated in any way desired and the result will be the same. This holds for the numbers generally encountered: positive and negative, integral and fractional, rational and irrational, real and imaginary. Exceptions occur (e.g., in nonassociative algebras and divergent infinite series)
associative law
in mathematics, law holding that for a given operation combining three quantities, two at a time, the initial pairing is arbitrary; e.g., using the operation of addition, the numbers 2, 3, and 4 may be combined (2+3)+4=5+4=9 or 2+(3+4)=2+7=9. More generally, in addition, for any three numbers a, b, and c the associative law is expressed as (a+b)+c=a+(b+c). Multiplication of numbers is also associative, i.e., (a×b)×c=a×(b×c). In general, any binary operation, symbolized by [symbol], joining mathematical entities A, B, and C obeys the associative law if (A[symbol]B)[symbol]C=A[symbol](B[symbol]C) for all possible choices of A, B, and C. Not all operations are associative. For example, ordinary division is not, since (60÷12)÷3=5÷3=5/3, while 60÷(12÷3)=60÷4=15. When an operation is associative, the parentheses indicating which quantities are first to be combined may be omitted, e.g., (2+3)+4=2+(3+4)=2+3+4
associative law
Two closely related laws of number operations. In symbols, they are stated: a + (b + c) = (a + b) + c, and a(bc) = (ab)c. Stated in words: The terms or factors may be associated in any way desired and the result will be the same. This holds for the numbers generally encountered: positive and negative, integral and fractional, rational and irrational, real and imaginary. Exceptions occur (e.g., in nonassociative algebras and divergent infinite series). See also commutative law, distributive law
associative law
mathematical law stating that certain operations (addition, subtraction, etc.) may be executed in any sequence without affecting the result
associative learning
A type of learning principle based on the assumption that ideas and experiences reinforce one another and can be linked to enhance the learning process
associative neuron
A nerve cell found within the central nervous system that links sensory and motor neurons
associativity
the condition of being associative
power-associative algebra
An algebra such that every subalgebra generated by one element is associative
associativity
Determines whether you do the left operator first or the right operator first when you have "A operator B operator C" and the two operators are of the same precedence Operators like + are left associative, while operators like ** are right associative See Chapter 3, "Unary and Binary Operators", for a list of operators and their associativity
associativity
The associativity of a binary operator determines the order in which several of them in a row are done If the operator is left-associative (or, equivalently, if it associates to the left) then that operator is applied from left to right If it is right-associative (or, equivalently, it associates to the right) then that operator is applied from right to left For example, - is left-associative So 10 - 4 - 3 is computed from left to right First, 10 - 4 is computed, yielding 6 Then 6 - 3 is computed, yielding 3 If you insert parentheses to force this, you get (10 - 4) - 3 As you can see, the parentheses are toward the left On the other hand, ^ is right associative (^ is exponentiation) So 3^3^2 yields the same result as 3^9, not as 27^2 See E7
associativity
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associativity
{i} association, coalition; associative behavior
associativity
Determines whether you do the left operator first or the right operator first, when you have "A operator B operator C", if the two operators are of the same precedence Operators like + are left associative, while operators like ** are right associative See the section "Operators" in Chapter 2, The Gory Details, for a list of associativity
associativity
Characteristic of functions that can be grouped or associated without changing their value, for example
associativity
A property in math which states that: (A+B)+C=A+(B+C) and (A*B)*C=A*(B*C)
associative
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