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On the basis of that, a finite group G satisfying |Aut: Paut|=1, p or pq is successfully classified, where p, q are distinct primes, Aut is the automorphism group of G and Paut is the power automorphism group of G.

然后在此基础上综合运用多方面的知识,进一步给出了满足条件|Aut∶Paut|=1,p或pq的有限群的完全分类,其中Aut是群G的自同构群,Paut是G的幂自同构群,p,q仍是不同的素数。

This paper describes the precise structure of the automorphism groups of order pq 2,where p and q are distinct primes.

考虑怎样的 pq2阶群可以作为另一个有限群的全自同构群,其中 p,q是不同的素数。

Since any n x n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n - 1 in the shift operator wn, the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式,从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

Since any n×n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n-1 in the shift operatorω_n,the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式,从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

The classification of primes in the doubly stochastic circulant matrices is now explored.

本文研究了双随机循环矩阵中素元的分类问题。

For all primes , by reducing modulo on the cyclic -module, Rains constructed the quantum quadratic residue codes , each of which produces a code.

任取素数,Rains利用上的一个多项式构造出循环模,通过对循环模作摸运算构造出量子二次剩余码,这样的一个可构造出一个参数为的量子码。

The prime number theorem of Gauss and Legendre approximates the number of primes less than x.

素数定理高斯和勒接近若干素数不到十。

The zeta function of Euler and Riemann, expressed as an infinite series and a curious product over all primes.

该zeta函数的欧拉和黎曼,表达了作为一个无穷级数和好奇的产品超过所有素数。

We showed that if G is a non-perfect 11-decomposable finite group, then G is isomorphic to an Abel group of order 121, or a non-Abel group of order pq, here p, q are primes which satisfy p-1-=10q or p=11, q=,r is a prime, too.

在本章中主要证明了,11-可分解的有限可解群,必同构于121阶Abel群:或同构于pq阶非Abel群,其中p,q均为素数,且满足p-1=10q或p=11,q=?

To investigate the genetic differences between the Liquidambar formosana populations at different altitudes and in the same light conditions in Wuzhi Mountain of Hainan, the samples of Liquidambar formosana at 7 altitude levels and the 6 samples (among which, there were 3 samples from shade conditions and 3 from sunlight conditions) from the same altitude (700 m) were made a study in molecular biology by RAPD method, with 50 random primes in use.

为了解五指山不同海拔下枫香居群之间的遗传差异,用50个随机引物,应用随机扩增多态性DNA方法,分别对7个海拔梯度、相同光照条件下的枫香样品和710 m海拔高度的6个枫香样品(3个阴性条件样品和3个阳性条件样品)进行了分子生态学研究。

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