查询词典 integer optimization

In chapter 1, one type of maximal subgroups in symplectic groups overpolynomial rings are obtained. Let F be a field, R = F be a ring of polynomial in one variable over F, m be a positive integer, f eF and S be the ideal of R generated by -f, We define:, then G is a maximalsubgroups of Sp(2m,R).

在第一章中，得到了多项式环上辛群的一类极大子群：设F是一个域，R=F是域F上关于λ的一元多项式环，m是一个正整数，f∈F，S是R的由λ-f生成的理想，则是Sp(2m，R)的一个极大子群。

For each scenario, you are given a single positive integer less than 45 on a line by itself.

对于每个情况下，您有一个单一的正整数不少于45上线的本身。

The first line of the input is a positive integer T. T is the number of test cases followed.

给出了多项式和变量的值，你的任务是计算值的多项式第一行输入的是一个正整数T 。

There is only a first positive integer representing the number of departments.

第一行只有一个正整数，代表公司的部门数目。

Theorem 3 If ,and,then there exists a positive integer ,such that,for every .

定理3 如果，且，那么存在正整数，当时，都有。

In arithmetic the positive integer and the positive fraction were sufficient for all requirements.

在算数中，曾经正整数和正分数能够满足所有的需求。

If n is the greatest positive integer for which 10n is a factor of 24!

就是一个硬币置3次，全是同一面的概率，选1/4

For any positive integer n, E represents the sum of all the odd digits of n.

若n 是任意正整数，定义 E 为所有n 的单数位数的和。

Please enter a positive integer, or leave empty for no limit.

请输入一个正整数，或者置为空则没有任何限制。

The method took a positive integer and turned it into roman numerals.

该方法采取了积极的整数，变成了罗马数字了。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。