幂敛,power convergence,在线英语词典,英文翻译,专业英语

1) power convergence

幂敛

2) index of convergence

幂敛指数

In this paper we applied the graphic method to determine the index of convergence for a class of n(>4)order non-symmetric imprimitive nearly reducible Boolean matrix with at least one pair of nonzero symmetry entries and whose given period is two.

应用图论方法推导出至少有一对非零对称元但非对称且周期为2的n(>4)阶非本原几乎可约布尔矩阵所成的类(NBn)的若干个指数公式,并进一步确定出NBn的幂敛指数集(S1∪S2∪S3)。

The bounds about the index of convergence havebeen got:If G is a primitive digraph,k(T)≤k(G)+1;If G is an oriented cyclic,then k(T)=2|V(G)|-1;If G is acyclic,then k(T)=2k(G)-1.

本文得到了它们的幂敛指数k(G)和k(T)之间的关系:对任何有向图G,周期p(T(G))=1;当G是本原图时,k(T)≤k(G)+1,文中给出了取得k(G)+1的两类图;当G是无圈图时,k(T)=2k(G)-1,当G是有向圈时,k(T)=2|V(G)|-1,当G是强连通时得到了k(T)的一些估计。

By using the matrix representation of a digraph, some results about the index of convergence and period of a line digraph are obtained.

采用有向图的矩阵表示，得到了线有向图的幂敛指数和周期的有关结果。

3) convergent index

幂敛指数

The following result is proved: k(v_i,v_j)(?)max{(n-d-2)~2+2,2n-d-1} (?) s_n[(2n-5)-(4n-3)~(1/2)/2] And we give complete characterization for the extreme matrices with the largest convergent index in H_n(d).

设H_n(d)是恰含d个正对角元的n阶几乎可约分块布尔矩阵的集合,1≤d≤n,对任何矩阵A∈H_n(d),本文证明了■其中s_n=|(2n-5-(4n-3)~(1/2))/2|,同时刻画了H_n(d)中幂敛指数达到最大值的极矩阵。

We determine the convergent index set of Boolean matrices with d diagonalelements.

设Bn为n阶布尔矩阵的集合，Dn(d)=｛A∈Bn|A中恰有d个正对角元，本文完全确定了矩阵类Dn（d）的幂敛指数集kn（d）。

We give complete characterizations for the extreme matrices with the largest convergent index in Dn(d),thus the extreme matrix problem of convergent index for Boolean matrices with non-zero trace is settled.

本文完全刻画了Ｄｎ（ｄ）中幂敛指数达到最大值的极矩阵，从而解决了迹非零布尔矩阵幂敛指数的极阵刻画问题。

4) period of convergence

幂敛周期

5) Generalized index of convergence

广义幂敛指数

6) local exponent of power convergence

局部幂敛指数

补充资料：彻幂

1.见"彻幂"。

说明：补充资料仅用于学习参考，请勿用于其它任何用途。

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1) power convergence 幂敛 2) index of convergence 幂敛指数 1. In this paper we applied the graphic method to determine the index of convergence for a class of n(>4)order non-symmetric imprimitive nearly reducible Boolean matrix with at least one pair of nonzero symmetry entries and whose given period is two. 应用图论方法推导出至少有一对非零对称元但非对称且周期为2的n(>4)阶非本原几乎可约布尔矩阵所成的类(NBn)的若干个指数公式,并进一步确定出NBn的幂敛指数集(S1∪S2∪S3)。 2. The bounds about the index of convergence havebeen got:If G is a primitive digraph,k(T)≤k(G)+1;If G is an oriented cyclic,then k(T)=2\|V(G)\|-1;If G is acyclic,then k(T)=2k(G)-1. 本文得到了它们的幂敛指数k(G)和k(T)之间的关系:对任何有向图G,周期p(T(G))=1;当G是本原图时,k(T)≤k(G)+1,文中给出了取得k(G)+1的两类图;当G是无圈图时,k(T)=2k(G)-1,当G是有向圈时,k(T)=2\|V(G)\|-1,当G是强连通时得到了k(T)的一些估计。 3. By using the matrix representation of a digraph, some results about the index of convergence and period of a line digraph are obtained. 采用有向图的矩阵表示，得到了线有向图的幂敛指数和周期的有关结果。 3) convergent index 幂敛指数 1. The following result is proved: k(v_i,v_j)(?)max{(n-d-2)~2+2,2n-d-1} (?) s_n[(2n-5)-(4n-3)~(1/2)/2] And we give complete characterization for the extreme matrices with the largest convergent index in H_n(d). 设H_n(d)是恰含d个正对角元的n阶几乎可约分块布尔矩阵的集合,1≤d≤n,对任何矩阵A∈H_n(d),本文证明了■其中s_n=\|(2n-5-(4n-3)~(1/2))/2\|,同时刻画了H_n(d)中幂敛指数达到最大值的极矩阵。 2. We determine the convergent index set of Boolean matrices with d diagonalelements. 设Bn为n阶布尔矩阵的集合，Dn(d)=｛A∈Bn\|A中恰有d个正对角元，本文完全确定了矩阵类Dn（d）的幂敛指数集kn（d）。 3. We give complete characterizations for the extreme matrices with the largest convergent index in Dn(d),thus the extreme matrix problem of convergent index for Boolean matrices with non-zero trace is settled. 本文完全刻画了Ｄｎ（ｄ）中幂敛指数达到最大值的极矩阵，从而解决了迹非零布尔矩阵幂敛指数的极阵刻画问题。 4) period of convergence 幂敛周期 5) Generalized index of convergence 广义幂敛指数 6) local exponent of power convergence 局部幂敛指数补充资料：彻幂 1.见"彻幂"。说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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