算了

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

The researches about solving the nonlinearoperator equation in the paper, point out a new direction and instructionalmeaning for solving general nonlinear operator equation.

本文中关于非线性算子方程求解问题的研究，为一般非线性算子方程求解的研究指出了一条新的方向，从而对一般的非线性算子方程的研究具有指导意义。

This new semigroup extende the nonlinear semigroup of Lipschitz operator.

这种算子半群是在非线性算子半群的基础上提出的，是对非线性Lipschitz算子半群的进一步扩展，使它的范围更加扩大了。

The research on generalized numerical ranges of operator contains n-numerical ranges and numerical ranges of operator polynomial.

在广义数值域方面，深入研究了算子数值域的重要推广：算子n-次数值域、算子多项式数值域及其谱理论两大问题。

The Young operators can be distinguished as elimination operator and effective permutation operator by the normalization of Young basis, then the constructive rules of permutation operators of the orthogonal normalization of Young basis is given.

由杨盘基的归一化将杨盘的杨算符区分为消去算符和有效置换算符，进而给出了正交归一化杨盘基的置换算符构造规则。

We revisted the process B→η＇K and got the same result as the previous literature that the experient data is 2-4 times larger than the theoretical calculation We calculated the matrix element of scalar and tensor operators, which can be applied in some models beyond Stand Models, such as Minimal Super-Symmetry Models.

我们还在BBNS因子化方案下计算了某些新的算符，例如标量算符，张量算符等的强子矩阵元，这一结果可以应用到标准模型扩展如最小超对称模型中，计算新物理的贡献。

This paper mainly deals with invariant subspaces and cyclic vectors of certain diagonal operators on a separable Hilbert space. In this case, a complete characterization is given.

考虑一般对角算子的不变子空间是非常困难的，本文主要研究Hilbert空间上一类对角算子的不变子空间和循环向量，给出了这类算子不变子空间和循环向量的完整刻画。

The type and relationship of HN, and the relationship between the Truth Value Space of GL and HN's operating are discussed, combing examples from Weather Forecast Expert System. The author includes into continues theory system the traditional Zadeh Operator, Probability Operator and Limitary Operator as special cases.

讨论了超结点的类型、关系及泛逻辑的真值空间和超结点间逻辑运算关系，结合天气预报专家系统实例，将传统的Zadeh算子、概率算子和有界算子作为特例包容到连续的理论体系中。

The results of using three kinds of aggregator with parameter-Dombi aggregator, Yager aggregator and Mean aggregator are compared.

并采用了三种典型的带参数的合成算子：Yager T算子，Dombi T算子和广义Mean算子，合成模糊决策目标函数。

Second, according to the characteristic of soft-ground ,when we disposed of the obser-vation data of every period from the earth subsidence network, we chose three adjustment ma-thematics models including adjustment by classics; adjustment by free network and adjustment by selecting proposal stable points to deal with the solution .

其次根据软土地基的特点，为达到观测成果能合理处理目的，在沉降变形监测网数据处理时，利用了三种平差数学模型即经典平差、自由网平差和拟稳平差分别进行观测基准网的解算，并把求算结果进行比较对照，从而选出最合理的能符合本场地实际条件的一组解算成果作为我们后面的变形成果精度分析的依据。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。