查询词典 prime

Every maximal ideal of every commutative ring with identity is a prime ideal.

带有单位元的交换环的任何极大理想是素理想。

The central notion in commutative algebra is that of a prime ideal.

交换代数中最核心的概念就是素理想。

We establish a relation between μ and the stucture of the group G, and obtain the lower bound of the ratio by the mininal prime divisor of the order and commutator of the group G, and give a necessary and sufficient condition under which this lower bound is attained.

第一部分，记有限群G的阶与不可约特征标个数的比值为μ，我们研究了一般的非交换有限群G的结构和μ之间的关系，通过群G的阶的最小素因子和换位子群G′的最小素因子得到了μ的一个下界，同时给出了达到下界的一个充分必要条件。

Henceforth foundations were no longer restricted to deserts but might be made in cities and the suburbs of towns; the solitary life was abandoned for community life; meals were to be taken in common; the abstinence, though not dispensed with, was rendered less stringent; the silence was restricted to the time between Compline and Prime of the following day; donkeys and mules might be kept for traveling and the transport of goods, and fowls for the needs of the kitchen.

从此基金会已不再局限于沙漠，但可能提出的在城市和郊区的城镇；孤独的生活是被遗弃的社区生活；膳食，以采取共同的；禁欲，虽然没有配，作出了较为宽松；沉默是限于之间的时间compline和总理的翌日凌晨驴和骡子可能是存放期为旅行和货物运输，以及家禽，为有需要的厨房。

Monks prayed together at eight appointed times daily:(1) matins, or nocturns, which began at midnight;(2) lauds, following immediately;(3) prime, at sunrise;(4) terce, at midmorning (9 AM);(5) sext, at noon;(6) nones at midafternoon (3 PM);(7) vespers, at eventide; and (8) compline, at bedtime.

僧人一起祈祷8任命每天：（ 1 ）晨祷，或nocturns开始，在午夜；（ 2 ）赞扬后，立即；（ 3 ）总理，在日出；（ 4 ） terce ，在早上（ 9：00 ）；（ 5 ） sext ，中午12时；（ 6 ） nones在下午（ 3时）；（ 7 ）晚祷，在黄昏；和（ 8 ） compline ，在睡觉。

The project looks for Proth prime numbers in which, for a number k, if every possible choice of n results in a composite Proth number N, k is a Sierpinski number.

项目所要寻找的Proth素数是指对一个数k，如果每一个n得到的都是合数Proth数N，则k即是斯尔宾斯基数。

This essay has applied the characteristics of sine functions of Goth function, and according to Kronecher function, it has set up a new function to represent composite number and thus come out with a more accurate function of prime number distribution .

本文根据表哥德巴赫猜想定义了卷和函数，并依照素数分布的函数得到了表哥德巴赫猜想的函数形式。

First, an election brought John Compton back into the office of prime minister.

首先，约翰。康普顿在大选中获胜，重掌总理一职。

If so, you're a prime target for a computer virus.

如果你会这样做的话，你的电脑极有可能染上病毒。

We expect concerns over sub prime mortgages to cause significant volatility in financial markets in the near term.

我们预计对于次级债的担忧将在近期内造成金融市场的大波动。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。