查询词典 associative law

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。

Because of the associative law for addition, we can define multiplication based on addition, a b means a+a+…+a,adding a with b times.

正是由于加法的结合律使得我们可以在加法的基础上定义乘法，就是重复加法的简便运算：a b=a+a+…+a，对a重复相加b次。

The combination rule of the method satisfies commutative law and associative law, fully uses information of conflict evidences, and solves three kinds of problems appeared in conflict evidences combination process.

该组合方法满足结合律和交换律，充分利用冲突证据信息，解决了冲突证据组合中的三类问题。

So 2/4=1/2. Here we have used the associative law or the cancellation law for multiplication, which are satisfied for natural numbers, now we assume they are satisfied with fraction numbers.

2的数，所以2/4=1/2。这里我们用到了乘法结合律也可以用消去律，本来这些运算律是对正整数乘法适用的，但对于有分数参加的乘法我们也规定适用。

In the 2nd one we have already a+(b+1)= a+b'='=+1,this is the first step of associative law for addition,further more we can verify the associative law and commutative law for addition.

而在第二条中已经有a+(b+1)= a+b'='=+1，就是加法结合律的第一步，进而可以验证加法交换律和结合律。

Similarly, the addition of any three natural numbers must satisfy associative law:+c=a+, and then we can verify that for any n natural numbers, the results of adding is the same in any associative way which keep the order of numbers.

类似地任何三个自然数可以有结合律：+c=a+，进而可以证明任何n个数的任何结合方式进行加法所得的结果是一致的。

As a branch of modern algebra , finite fields is an abstract system in algebra which satisfies operational laws such as associative law, commutative law, distributive law etc.

作为近世代数学的一个分支，有限域是一个拥有传统算术四则运算的抽象代数系统，它满足结合律、交换律、分配律、消去律等运算法则。

We cannot always have associative law for operations, for instance, we did not have this law for mixed addition and multiplication,neither for subtraction, 2+3 2+1≠(2+3)(2+1)=5 3,（2-3）- 2≠2-（3-2）,this is why we have to set the rule in operations that "doing inside bracket at first and out side afterwards, doing multiplication and dividing first and addition and subtraction afterwards".

注意运算的结合律并不是永远对的，比如加法和乘法的混合运算就没有结合律，减法也没有，2+3 2+1≠5 3，（2-3）- 2≠2-（3-2），因此我们运算中总是规定先括号内再括号外，先加减后乘除。

The operation laws including:commutative law, associative law, cancellation law, unity of operation, inverse element, and distributive law between two operations,here we just omit them.

这些运算律包括：交换律，结合律，消去律，运算单位元，运算逆元，两个运算之间的分配律等，在此不再一一说明详细过程。

The commutative theorem characterized by an associative ring, presented in document 1 noted by Guo Huaguang is extended to the formation of the left near ring with partition law.

把郭华光在文献［1］中关于结合环的交换性定理推广到分配生成左拟环上。

This paper analyzes the compound attractor structure of a new three-dimensional autonomous chaotic system.

分析了一种新的三维自治混沌系统吸引子的复合结构。

ON shut rivals out of their transmission systems and shy away from reinvesting their profits in network improvements.

ON将竞争者挡在了其输送体系之后，并不愿将其收益再投资于网络改建工作。