The phrase "associative law" is correct and usable in written English.
It is typically used in mathematics and logic to refer to a property of certain operations where the grouping of operands does not affect the result.
Example: "According to the associative law, (a + b) + c is the same as a + (b + c)."
Alternatives: "associative property" or "associative principle".
See also associative law; distributive law.
Also, it is easy to show that the associative law is valid, and hence the parentheses in (2) can be omitted without any ambiguities.
Also, since rotation from b to a is opposite to that from a to b, This shows that the cross product is not commutative, but the associative law (sa) × b = s(a × b) and the distributive law are valid for cross products.
A semigroup is a nonempty set equipped with an operation that satisfies the associative law: (13).
The Kronecker product of the matrice has many important properties, such as bilinear, associative law, etc.
The associative law was missing it was implicit in the lack of parentheses in his expressions.
Although additional associative laws were proposed from time to time, two invariably were recognized.
Laws of addition, associative laws of multiplication, commutative laws of addition and multiplication, and distributive laws are explained in this chapter.
Generalized assumptions of multiple factors that may affect the reliability of such systems are introduced by developing multi-state operators that obey the commutative and the associative laws.
In general a category C consists of objects a, b, c and morphisms f : a→b, together with an associative composition law for "composable" morphisms f : b→c, g: a→b yielding the morphism fgg: a→c.
In our last work [30], some fundamental arithmetic rules on interval numbers, based on the conventional addition and gH-difference were extended to the case of interval-valued vectors, while some properties, in particular associative and distributive laws, were obtained.
