What is the translation of " COMMUTATIVE " in Chinese?

• 交换
• 一个交换

Examples of using Commutative in English and their translations into Chinese

Commutative and Distributive.
交换和分配.

They said that was the commutative law.
提示这就是模进法。

If A is commutative and associative then B is associative.
若A是交换的和结合的，则B是结合的。

Therefore, it is completely commutative.
因此，它是完全可交换的。

Without commutative justice, no other form of justice.
没有交换正义，任何其他形式的正义都是不可能的。

Therefore, by definition, any field is a commutative ring.
从而，由定义知任何域是一个交换环。

Without commutative justice, no other form of justice is possible.
没有交换正义，任何其他形式的正义都是不可能的。

Combinatorics and commutative algebra.
组合交换代数Combinatorialcommutativealgebra.

However, matrices that can be diagonalized with the same similarity transformation do form a commutative ring.
但是，能被相同的相似变换对角化的矩阵形成一个交换环。

Matrix multiplication is not commutative, which means their order is important.
矩阵乘法是不可交换的，这意味着它们的顺序很重要。

In more abstract language, the spectral theorem is a statement about commutative C*-algebras.
用更抽象的语言来讲，谱定理是关于交换C*-代数的命题。

Matrix multiplication is not commutative, which means their order is important.
矩阵乘法是不遵守交换律的，这意味着它们的顺序很重要。

The order in which the matrices are applied is important, because the matrix multiplication is not commutative.
其中矩阵乘积的顺序是有要求的，因为矩阵乘积是不可交换的。

Secondly, this ring will not be commutative: an operator gD isn't the same in general as Dg.
第二，这个环不是交换的：一个算子gD一般与Dg不同。

The area of a rectangle does not depend on which side is measured first, which illustrates the commutative property.
矩形的区域不取决于首先测量哪一侧，这说明了交换属性。

For instance, simplicial commutative rings or simplicial R-modules admit natural model structures.
例如，单纯可交换环或单纯R-模都带有自然模型结构。

Divisions of justice can be broken down into legal justice, commutative justice, and distributive justice.
公共正义可以分为保护的正义、交换的正义和分配的正义。

If R is a commutative ring, then an ideal P of R is called prime if it has the following two properties:.
如果R是非交换环，那么R的理想P是素理想，如果它具有以下两个性质：.

As the multiplication of integers is a commutative operation, this is a commutative ring.
因为整数乘法是一个交换运算，这是一个交换环。

If V is some topological space, for example a subset of some Rn, real- or complex-valued continuous functions on V form a commutative ring.
如果V是某个拓扑空间，例如某个Rn的子集，V上实值或复值连续函数形成一个交换环。

For example, all ideals in a commutative ring are automatically two-sided, which simplifies the situation considerably.
例如，交换环中所有理想自动是双边的，相当简化了情形。

Simplicial objects in a category are a frequent source of model categories; for instance, simplicial commutative rings or simplicial R-modules admit natural model structures.
范畴中的单纯对象常常是模型范畴的来源；例如，单纯可交换环或单纯R-模都带有自然模型结构。

The operators AND and OR are commutative, that is, you can switch the left and right operand without affecting the result.
操作符AND和OR都是可交换的，也就是说，你可以交换左右操作数而不影响结果。

This concept is further generalized into ever-growing sequences of commutative operations, some of which are known to be stable(and thus may be executed).
这个概念被进一步推广到可交换操作的持续增长集上，某些这样的持续增长集被认为是稳定的（stable）（因此可以被执行这个协议）。

The operators AND and OR are commutative, that is, you can switch the left and right operand without affecting the result.
操作符AND和OR是可交换的，这就是说，可以交换操作符左边和右边的操作数，而不会影响最后的操作结果。

If p, q are elements of Spec(R)(the spectrum of a commutative ring R) then p≤ q if and only if q⊆ p(as prime ideals).
如果p,q是Spec(R)(交换环R的谱)的元素则p≤q，当且仅当q⊆p(如素理想)。

Second, if the aggregation operations are commutative, the order in which the intermediate values are processed is unimportant.
第二，如果聚合操作是可交换的，中间结果的处理顺序是不重要的。

By the way, if you hear about commutative monads in Haskell, the concept involved is the same, only specialised to Monad.
顺便一提,如果你听说过Haskell中满足交换律的monad,它们的概念实际上差不多是一致的,只是这里的对象是Monad罢了.

We previously discussed that Matrix multiplication is not commutative but there is one exception, namely if we multiply a Matrix by an identity matrix.
我们之前讨论过矩阵乘法不是可交换的，但是有一个例外，即如果我们将矩阵乘以单位矩阵。

If the underlying group or semigroup is commutative, then it is often possible to reduce the number of multiplications by computing the product simultaneously.
如果基础群或半群是可交换的，那么常常可以通过同时计算乘积来减少乘法的次数。