In contrast, the commutative property states that the order of the terms does not affect the final result.

Records of the implicit use of the commutative property go back to ancient times.

The second examined the relationship between the commutative property and Heisenberg's uncertainty principle.

Euclid is known to have assumed the commutative property of multiplication in his book Elements.

Today the commutative property is a well known and basic property used in most branches of mathematics.

The associative property is closely related to the commutative property.

Structured addition - Cuisenaire rods - commutative property of addition.

He proved the associative and commutative properties, among others, through mathematical induction.

In hole formalism, commutative property of multiply is used.

This follows from the preceding property and the commutative property of the dot product.

This is the commutative property of addition.

The Egyptians used the commutative property of multiplication to simplify computing products.

They also follow commutative properties and associative properties, just like real numbers.

By the commutative property of executive grandeur, John Gutfreund was bigger than that.

Today, due to the commutative property of addition, "augend" is rarely used, and both terms are generally called addends.

The area of a rectangle does not depend on which side is measured first, which illustrates the commutative property.

The definition of commutative property of addition is, when we substitute any number for a and b, .

The commutative property of addition and multiplication tells us that it does not matter which number we add first, or multiply first.

In mathematics, the quasi-commutative property is an extension or generalization of the general commutative property.

An easier way of understanding what an antimetabole means is comparing it to the commutative property of addition and multiplication.

When the operator of two terms is an addition, the 'commutative property of addition' is applicable.

Formal uses of the commutative property arose in the late 18th and early 19th centuries, when mathematicians began to work on a theory of functions.

Because the commutative property does not hold for matrix multiplication, the second law does not follow from the first law.

The commutative property (or commutative law) is a property generally associated with binary operations and functions.

In group and set theory, many algebraic structures are called commutative when certain operands satisfy the commutative property.