commutative background

commutative

/kəˈmjuːtətɪv/ /kəˈmjuːteɪtɪv/

Illustration commutative - Image 1

adjective

可交换的，对易的。

(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."

加法和乘法是可交换的运算，也就是说，改变加数或乘数的位置不影响结果；但减法和除法就不是可交换的运算了，因为改变减数或除数的位置会影响结果。

Illustration commutative - Image 1

adjective

可交换的，对易的

(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. "

加法运算是可交换的；无论你计算2+3还是3+2，结果都是5，顺序无关紧要。

Illustration commutative - Image 1

adjective

交换的，可交换的

(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. "

数字的加法是可交换的；无论你计算 2 + 3 还是 3 + 2，结果都一样。

math technical logic

Illustration commutative - Image 1

adjective

可交换的，对易的

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. "

和朋友们分享糖果时，每个人得到的糖果数量是可交换的，因为谁给谁并不重要，最终糖果的分配结果是一样的。