commutative background

commutative

/kəˈmjuːtətɪv/ /kəˈmjuːteɪtɪv/

Illustration commutative - Image 1

adjective

تبادلي

(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."

الجمع والضرب عمليتان تبادليتان، لكن الطرح والقسمة ليستا كذلك.

Illustration commutative - Image 1

adjective

تبادلي

(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. "

الجمع تبادلي؛ لا يهم إذا جمعت 2+3 أو 3+2، فالإجابة لا تزال 5.

Illustration commutative - Image 1

adjective

تبادلي

(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. "

جمع الأعداد تبادلي؛ تحصل على نفس الإجابة سواء جمعت 2 + 3 أو 3 + 2.

math technical logic

Illustration commutative - Image 1

adjective

تبادلي، قابل للتبديل

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. "

لمشاركة الحلوى مع الأصدقاء، فإن الكمية التي يتلقاها كل شخص هي تبادلية لأن تبديل من يعطي ومن يتلقى لا يغير التوزيع النهائي للحلوى.