查询词典 irreducible

To the moduli with special forms (such as Mersenne numbers, pseudo-Mersenne numbers, generalized Mersenne numbers), we analysis and study modular arithmetic laws, and obtain the conclusions as follows: for Mersenne numbers and pseudo-Mersenne numbers, we get modular arithmetic formulas, and determine exact expressions of the number of modular addition to generalized Mersenne numbers generated by irreducible monic trinomials and pentanomials.

针对具有特殊形式的模数(如Mersenne数，伪Mersenne数，广义Mersenne数等)，深入分析了其取模运算规律，得到如下结果：对Mersenne数和伪Mersenne数，给出了取模运算转换为模加或模减运算的公式；对模数为任意首一三项式和五项式产生的广义Mersenne数，推导了相应取模运算的复杂度计算解析表达式。

Define Ck =∪rCk,r, where r passesthrough all monic irreducible polynomials of degree k over Zn.

定义Ck=∪rCk，r，这里r跑遍Zn中所有k次首一不可约多项式。

Depending on the coefficient of the polynomial, we can easily compute the number of modular addition of A mod p by the formulas for any given irreducible monic trinomial and monic pentanomial.

根据该表达式，对任意给定的不可约首一三项式和首一五项式，可以根据该多项式的系数分别得出以广义Mersenne数为模数的取模运算所需要的模加法的次数。

Using Pell equations on A,we give a new proof of the well-known fact that ifthe ideal class number of a real quadratic function field K = k equals to 1,thenD must be P or QR, where P,Q,R∈A are monic and irreducible ,and Q,R have odddegrees.

二我们应用A上的Pell方程这一初等方法重新证明一个已知的结果：实二次函数域K = k理想类数为1时， D只能为P或QR，其中P，Q，R∈A首一不可约且Q，R次数为奇数。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中，作为两个重要的工具，对幂零李代数其模的权空间分解(第1节)，以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

The complexity is determined by the irreducible dependence between current quantities of time series and high order historical quantities, and indicated by the attenuation trend of nonlinear partial autocorrelation.

这种复杂性由当前序列值对各阶历史序列值不可约的依赖性所决定，并被非线性偏自相关的衰减趋势所反映。

Firstly, we give a necessary and sufficient condition for a nonnegative square matrix to be decomposed into a product of a finite number of irreducible nonnegative matrices in chapter 1. We prove it by using Frobenius normal form in combinational matrix theory and associated directed graph in graph theory. In addition, we can limit the number of factors to three, and construct every factor.

首先，在第一章中，我们给出了一个非负矩阵可以分解成有限多个不可约非负阵的乘积的充要条件，证明过程利用了组合矩阵论中的Frobenius标准型和图论中的伴随有向图，并且将乘积中的因子个数限制到三个，具体地构造出了分解式中的每个不可约非负阵。

Under the conditions that the external coupling matricesare n×n irreducible symmetric real matrices with zero row sums and nonpositive off-diagonal elements, asymptotic synchronization occurs if the coupling strength exceedsa critical value.

第三章主要讨论非恒同的单摆振子系统，讨论了外部耦合格式矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非正的矩阵时系统的解的渐近同步性。

In this paper constructed the projection operator s of all the inequivalent and irreducible presentation which attributes to C_(2v) group,according to these projection operator s composed the twenty-four normal modes of vibration and their normal coordinates,and analyzed the spectral properties of these vibration modes.

利用群论方法构造出属于C2v群的各不等价不可约表示的投影算符，应用求得的投影算符合成丙酮分子的24个简正振动模式及简正坐标，并分析其振动模式的光谱特性

Nor need it worry a physicalist, if he can reduce psychology, for then he could understand "from the bottom up" the acts (with their internal, intentional contents) which created the irreducible ontologies of the other sciences.

也无需为物理主义苦恼，如果物理主义者能还原心理，那么他就可以"从下到上"理解这些行为（伴随其内在的、意向内容），而这些行为创立了其他科学的不可还原的存有学。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。