查询词典 irreducible case

We give the description of meet irreducible ideals in terms of matrix units in the limit of a direct sum of nest algebras.For each MI-chain ,the ideal I associated with it is meet irreducible.Conversely,every proper meet irreducible ideal is induced by some MI-chain,but there is not a 1-1 correspondence between MI-chain and meet irreducible ideals.

接下来我们用MI-链刻画了套代数直和的极限即NSAF代数的交不可约理想，与MI-链相对应的理想就是交不可约的，任给一个交不可约理想能找到一个MI-链与之对应，但它们不是一一应。

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This article, in the term of Eigenfunction method of Quantum mechanics, illustrated indetail the Irreducible representation (Irreducible representation marices) of Reprensentation group of computatile space group and the disposition of phase factor of Irreducible representation basis and the disposition method of plase factor of clebsch-Gordaw coefficients in the process of the computation.

利用量力学中的本征函数法详细讨论计算空间群的表象群的不可约表示及IR基时位的处理，以及讨论了C—G系数的计算中的位的处理方法。

We call L n=1-matrices for N_0~1-matrices. Meyer introduced the concept of the Perron complement of a nonnegative and irreducible matrix in 1989 and used it to construct an algorithm for computing the stationary distribution vector for Markov chains. We extend the Perron complements of nonnegative and irreducible matrices to the Perron complements of nonpositive and irreducible matrices.

我们这里是把Perron余的概念推广到了非正不可约矩阵，显然它也具有非负矩阵相类似的性质，逆N 01矩阵又是特殊的非负矩阵，我们证明了在一定条件下，逆N 01矩阵和N 02矩阵的广义Perron余的继承性，并给出了相关的不等试：逆N 01矩阵和N 02矩阵的广义Perron余逆矩阵的不等式；逆N 01矩阵的主子阵与其逆矩阵的不等式。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all the angular interactions and spin sums involved in the problem have been worked out explicitly by using irreducible theory.

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

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The conventional rock electricity experiment get the irreducible water saturation with centrifugation,we think it is higher than its actual value.At present,we think the irreducible water saturation that get from mercury intrusion method is accurate.In view of the disadvantages of mercury intrusion method,we analysis the effect of bark of bluish dogbane and correct the experiment data,finally get reasonable data.

常规的岩电实验用离心法得到的束缚水饱和度普遍以为其偏高，目前以压汞法得到的束缚水饱和度为准，本文考虑压汞实验的弊端，深进分析"麻皮效应"对计量结果的影响，对压汞实验数据进行校正，得到了较为公道的实验数据。

Finally, after defining an evaluation module of the corresponding Loop superalgebra (Section 4), two major results of the paper -Theorem 4.land Theorem 4.2 are proved: Theorem 4.1 reduces the irreducibility of the tensor product of finitely many evaluation modules to the irreducibility of the tensor product of finitely many irreducible modules of a nilpotent Lie superalgebra; Theorem 4.2 gives a criterion for the tensor product of such modules to be irreducible.

第4节在定义了相应的Loop超代数的赋值模之后，证明了本文的两个主要结论：定理4.1和定理4.2。定理4.1将有限多个赋值模其张量积的不可约性归结为一幂零李超代数的限多个不可约模其张量积的不可约性；定理4.2利用不可约指标给出了一幂零李超代数的限多个不可约模其张量积仍不可约的判别准则。

In this paper, we discuss the convergence rates of two important Markov chains-maximal irreducible Markov chain and minimal irreducible Markov chain-used in web search algorithms.

本文讨论了万维网搜索算法中使用的两个重要的马氏链－maximal不可约马氏链和minimal不可约马氏链－收敛到平稳分布的收敛速度。

We discuss the convergence rates of two important Markov chains-maximal irreducible Markov chain and minimal irreducible Markov chain-used in web search algorithms.

本文讨论了万维网搜索算法中使用的两个重要的马氏链-maximal 不可约马氏链和minimal 不可约马氏链-收敛到平稳分布的收敛速度。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。