查询词典 irreducible case

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。

This paper by Eisenstein and Criterion On a few of the conclusions presented several integer coefficients irreducible polynomials way of judging, but the discussion of not more than four times the whole of the polynomial coefficients can be about issues, by some three to four times the entire polynomial coefficient about the summary judgment method.

本文由艾森斯坦因判别法及数论中的有关结论给出了几个整系数多项式不可约的判定方法，同时讨论了不高于四次的整系数多项式的可约性问题，得到了某些三次，四次整系数多项式可约性的简易判定方法。

The division with surplus, the comprehensive division and Eisenstein Test applications on polynomial that can not be divided are mainly discussed; the sufficient condition of that polynomial with coefficient being integer has no integer root, that cubic polynomial with coefficient being integer is irreducible in rational domain and that polynomial with coefficient being integer has not two completely same roots are summed up.

主要论述了带余除法、综合除法及不可约多项式艾森斯坦判别法的应用；总结出了整系数多项式的无整数根的充分性，三次整系数多项式在有理数域上不可约的充分性，整系数多项式无重根的充分性。

This paper introduces and investigates the filter theory of pseudo NM algebra. The notions of filters, generated filters, normal filters and prime filters etc. are defined. Their basic properties are investigated, with the structures of generated filters obtained. We show that prime filters and irreducible filters are equivalent, and that maximum filters must be prime filters. The prime filter theorem of pseudo NM algebra and its some corollaries are established.

引入了伪NM代数的滤子理论，定义了滤子、生成滤子、正规滤子和素滤子等概念，研究了它们的特征性质，给出了生成滤子的结构，证明了在伪NM代数中素滤子与不可约滤子等价以及极大滤子必是素滤子，建立了伪NM代数的素滤子定理及其推论。

The other three involve broadly non-reductive views, on which consciousness involves something irreducible in nature, and requires expansion or reconception of a physical ontology.

其他三类是广义的非还原观点，意识含有某种自然中不可还原的东西，必须对物理在存有上进行扩展或重新界定。

In Chapter 3, we discuss the synchronization of coupled dynamical systems on condition that the external coupling matrices are n × n irreducible symmetric real matrices with zero row sum and nonnegative off-diagonal elements and internal coupling matrices are m × m asymmetric matrices.

在第三章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶非对称矩阵时耦合系统的同步问题。

Chapter 2 is devoted to the discussion of the synchronization of coupled dynamical systems with the external coupling matrices being n × n irreducible circulant real matrices having zero row sum and nonnegative off-diagonal elements and internal coupling matrices being m × m symmetric positive definite matrices.

在第二章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实循环不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶对称正定矩阵时耦合系统的同步问题。

In chapter 3, based on the relationship between the minimal eigenvalue and the spectral radius of non-negative matrices, we derive some others upper and lower bounds on irreducible M-matrices.

第三章利用M矩阵的最小特征值与非负矩阵谱半径之间的关系，给出了不可约M矩阵最小特征值上下界的几个估计式。

This paper investigates the smallest singular value of matrices, the spectral radius of the iterative matrix, the minimal eigenvalue of irreducible M-matrices and some spectral properties of tensor product of matrices.

本文主要研究了矩阵最小奇异值，迭代矩阵的谱半径，不可约M矩阵的最小特征值以及矩阵张量积的一些谱性质。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。