| 1. | And element x=a is nilpotent .
元素XA是幂零的。 |
| 2. | We see that the element is collecting together powers of "入" .
我们看到这个元素是合并‘入’的同次幂。 |
| 3. | The highest power of x which occurs in p is called the degree of p .
出现在P中的X的最高次幂叫做P的次数。 |
| 4. | This idempotent ultrafilter enables us to find an appropriate infinite set .
这个幂等的超滤子能使我们找到一个适当的无限集。 |
| 5. | It is possible to use higher powers of r, but this had been found to be of no advantage .
可能用r的更高次幂，但发现这也无益。 |
| 6. | The nth power of an operator is defined to mean applying the operator n times in succession .
一个算符的n次幂定义为连续运用算符n次。 |
| 7. | We now discuss the case of a force that is proportional to the first power of the velocity,
现在，我们要讨论力与速度的一次幂成正比的情况。 |
| 8. | Next raise both members of the resulting equation to the same power as the index of the radical .
其次，把得出的方程两边都乘到和根式指数一样高的幂次。 |
| 9. | It is not satisfactory from a dimensional standpoint, since the power to which we raise e must be dimensionless .
从量纲的观点来看，它是不能令人满意的，因为e的幂必须是无量纲的。 |
| 10. | A very satisfactory answer can be given in terms of the appropriate analytic generalization of the algebraic concept of nilpotence .
将代数学中的幂零元概念作适当的解析学上的推广，可以绘出一个很满意回答。 |
