所谓的“自然”算术运算以损失连续性的代价保持了交换律。
The so-called " natural " arithmetical operations retain commutativity at the expense of continuity.
在意识到矩阵表示将导致物理量不满足乘法交换律之前，海森堡并没有前进太远。
Heisenberg had not proceeded very far with this idea before he noticed that it would lead to his physical quantities not satisfying the commutative law of multiplication.
本文主要讨论了适合反交换律的环的一些性质，并得出反交换环一定是交换环。
This paper mainly discuss some property of ring which fit into anti-commutative law, and arrive at a conclusion that anti-commutative law is commutable.
我们容易验证乘法满足结合律和交换律，并且由加法结果的唯一性得出乘法结果的唯一性和乘法消去律。
We then can verify the associative law and the commutative law for multiplication, and the uniqueness of the result of addition indicates the uniqueness and the cancellation law for multiplication.
我们容易验证乘法满足结合律和交换律，并且由加法结果的唯一性得出乘法结果的唯一性和乘法消去律。
We then can verify the associative law and the commutative law for multiplication, and the uniqueness of the result of addition indicates the uniqueness and the cancellation law for multiplication.
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