生成元

This paper studies the classification of two-dimensional representations of free group and free semigroup with two generators over arbitrary field, especially over finite field.

本文研究具两个生成元的自由群和自由半群在任意域，特别是在有限域上的二维表示的分类问题。

The result is generalized to a sequence of Banach spaces.

由此得出：Banach空间X上n次积分C-半群序列S强收敛于Banach空间X上n次积分C-半群S的充分条件是其生成元序列A强收敛于A，并将这一结论推广到一般的Banach空间序列上。

A class of cyclic codes and their duals are also discussed, and the idempotent generators of this class of cyclic codes and their duals are described.

讨论了R上一类循环码及其对偶码，并给出了这类循环码及其对偶码的幂等生成元。

Specially, in Hilbert spaces, some necessaryand sufficient conditions are given in terms of the uniformly square integrability anduniform boundness of the resolvent on the imaginary axis respectively. Furthermore,we consider this robustness fordifferential equations with unbounded operatorin the delay term.

我们进一步研究了时滞项含无界算子的抽象微分方程的小时滞鲁棒稳定性，获得了一些充分必要条件，并应用所得结论讨论了具解析半群生成元的时滞系统。

For a given imaginary root vector satisfying some conditions. there exists its pairing generator.

对于四种无扭仿射李代数，本文证明了任意给定一个虚根向量，都可以找到与之配对的生成元。

In this paper,we determine J_~(2~k+2v)by constructing ingeniously indecomposable manifolds M,which can be generators in MO_*,and defining appropriate(Z_2)~k-action on M.

在本文中，我们通过巧妙地构造流形M，使其所在的上协边类不可分解，从而可以作为上协边环MO_*的生成元，并在M上定义适当的(Z_2)~k作用使其不动点集F具有常余维数r，决定了未定向上协边环MO_*的理想J_~(2~k+2v)。

Secondly, the characters of abstract operator are discussed and the operator is proved to be an infinitesimal generator of analytic semigroup.

然后，讨论了构造的抽象算子的基本性质，证明了抽象算子的生成元性质。

We also obtain the representation formula for the transition probability density of a right process under Esscher transform and the infinitesimal generator of the transformed process.

此外，我们还得到了右过程在Essche变换下的转移密度表示公式及变换后过程的无穷小生成元。

The main work of this thesis is devided into two parts: We give nesserary and sufficient conditions on the C-resolvent of A to guarantee that the C-semigroup be an ideal of integral operator s.

本文的主要工作分为两部分：对C半群属于某一类积分算子理想给出了基于其生成元的C豫解式的一种刻画，该条件还是一个充要条件。

The main characteristic of this kind of quadratic forms is their orthogonality depends on the linear dependency of the elements which produce them (2. 17 theorem), and this is the very reason we can establish the invertibility theory over quadratic finite automata by R〓R〓 transformation methods.

这类二次型的主要特点是它们的正交性由它们的生成元的线性相关性决定（2.17定理），这是可以用线性R〓R〓变换方法建立二次型有限自动机弱逆性理论的根本原因。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。