交换律

The last part of the chapter is devoted to the elementary factorization theory of commutative monoids with cancellation property and of commutative domains

后一部分主要介绍了关于交换幺半群的关于消去律的初等的因式分解理论以及交换整环的理论

If there is a negative number in an addition, we still require commutative law,and then+a=a+=0 a=-.

当加法有负数参加时我们仍然规定必须满足交换律，于是+a=a+=0 a=-。

Obviously, parsimonious, the greedy acquisitive instinct not yet corrodes the summer Locker innermost feelings affectionately softheartedly, the brutal commercial commutative law has not seized his human nature last castle.

可见，吝啬、贪婪的占有欲尚未侵蚀掉夏洛克内心的脉脉温情，残酷的商业交换律没有占领他人性的最后一座城堡。

The so-called " natural " arithmetical operations retain commutativity at the expense of continuity.

所谓的"自然"算术运算以损失连续性的代价保持了交换律。

There are ways of handling problematic situations, such as rules for commutativity, e.g. by ordered rewriting, but we would like to take this opportunity to consider an alternative general approach to equality handling.

有处理，如交换律规则，有问题的情况，例如如何在命令重写，但我们想借此机会考虑另一种平等的一般方法处理。

Mathematics A set of elements having two operations, designated addition and multiplication, satisfying the conditions that multiplication is distributive over addition and that both operations are associative and commutative for all elements of the set, with the exception of the additive identity element, which is not commutative in respect to multiplication.

域，体：进行加法和乘法两种运算的一组数，满足如下条件，即乘法分配律同样适用于加法分配律，各数在做加法和乘法两种运算中可相互结合并交换，但在乘法中不可交换的加性恒等幺元除外

The Phase Rule states that for a system in equilibrium, in our example, the rock at the time of metamorphism

在一个封闭的多相体系中，相与相之间可以有热的交换、功的传递和物质的交流，相律就是揭示相平衡体系中相数P ，独立组分数C和自由度 F 之间关系的规律。

And the Montgomery method to realize point multiplication is also efficient by using projective coordinates to reduce the multiplication times and only one time of inversion been needed.

利用Fermatt小定理求逆，根据有限域上元素的乘法满足结合律和交换律，通过重新安排乘法和平方的顺序，可以减少乘法和平方的次数，比按照定义直接实现速度提高了6倍。

The attitude controller design problems for spacecrafts with two types of actors including thrusters and reaction-wheels are studied.

研究了带质量喷射装置和带角动量交换装置两类航天器的姿态控制律设计问题。

Ford's equity remains relatively steady, and its operations are in much better shape than its Detroit siblings, giving debt holders much greater confidence to swap their debt for equity in the future as well.

福特汽车的股票仍是相对稳定，以及其业务的表现胜过了底特律的兄弟姐妹，让债务持有人更大的信心，交换它们的债务为股本的未来。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。