commutative background

commutative

/kəˈmjuːtətɪv/ /kəˈmjuːteɪtɪv/

Illustration commutative - Image 1

adjective

Commutatif

(of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.

Examples :

"Addition and multiplication are commutative operations but subtraction and division are not."

L'addition et la multiplication sont des opérations commutatives, mais pas la soustraction et la division.

Illustration commutative - Image 1

adjective

Commutatif

(of an algebraic structure) Having a commutative operation.

Examples :

"Addition is commutative; it doesn't matter if you add 2+3 or 3+2, the answer is still 5. "

L'addition est commutative ; peu importe que vous ajoutiez 2+3 ou 3+2, la réponse est toujours 5.

Illustration commutative - Image 1

adjective

Commutatif

(of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.

Examples :

"The addition of numbers is commutative; you get the same answer whether you add 2 + 3 or 3 + 2. "

L'addition des nombres est commutative ; on obtient la même réponse que l'on additionne 2 + 3 ou 3 + 2.

math technical logic

Illustration commutative - Image 1

adjective

Commutatif, interchangeable

Relating to exchange; interchangeable.

Examples :

"For sharing candies with friends, the amount each person receives is commutative because swapping who gives and who receives doesn't change the final distribution of sweets. "

Pour partager des bonbons avec des amis, la quantité que chacun reçoit est commutative, car échanger qui donne et qui reçoit ne change pas la distribution finale des bonbons.