查询词典 operators

The main content includes that the accuracy of interpolation operators is creased since defect equations introduce less error: Gauss-Seidel solution can save effectively the computational time, in particular, the CPU-time for the setup phase; Jacobi-relaxation interpolation contributes to efficient and robust algebraic multigrid methods by a simple and purely algebraic mean.

最主要的内容是基于亏量方程引入的误差较小，从而进一步提高插值算子的精度；采用Gauss-Seidel解法有利于节省计算时间，特别是预备阶段的CPU时间；插值的松驰以一种简单的纯代数的方式获得高效且稳健的代数多重网格算法。

Secondly, 11 kinds of intuitionistic fuzzy implication operators are acquired.

其次，给出了直觉模糊推理的两种模型IFMP和IFMT。

It is proved that nonwandering operators keep their property of nonwandering on this small neighborhood by the methods of matrices and invariant set.

利用矩阵和不变集的方法证明在非游荡算子的一充分小的领域内，非游荡算子保持它的非游荡性不变。

Equivalently, it can be raised as follows: for an A operator T, if M and N are two invariant subspaces of T satisfying N include M and dimN/M=∞, then does there exist another invariant subspace L such that N include L, and L include M ? It is rather difficult to study the invariant subspace problem of general diagonal operators.

研究表明它可以约化为对角算子的不变子空间的情形，具体地它有如下的等价提法：对于A算子算T，，如果M和N是T的两个不变子空间，满足且dimN/M=∞，那么是否存在T的另一个不变子空间L使得M包含于L，且L包含于N？

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

In the third part we investigate a kind of two-dimensional non-product-type operators on continuous function space and some important properties and a locally inverse theorem are obtained.

其中第三节在连续函数空间上研究这类非乘积型二元算子，讨论了该算子的一些重要性质，给出局部意义下的一个逆定理。

Firstly, we discuss the characterization of eigenprojections at zero of thegeneralized Drazin invertible operator on Banach space. By using the techniqueof block operator matrices, we extend the results that the characterization of eigen-projections at zero of matrices to operators in B.

中文摘要我们首先讨论了广义Drazin可逆算子在0点的特征投影的刻画，利用算子矩阵分快的技巧将关于矩阵在0点特征投影的刻画的一些结果推广到了Banach空间上。

As an extension, we also obtain some sufficient and necessary conditions under which M_c is left Fredholm and left Weyl for some left invertible operator C, respectively.In chapter 2, the sufficient and necessary condition under which the difference of two idempotent operators on infinite dimensional Hilbert spaces is Fredholm (in-vertible) is discussed. In addition, some equivalent conditions under which products and differences of projections in a C~*-algebra are Moore-Penrose invert-ible are obtained.

来源：Ae5BCab论7a文网www.abclunwen.com对给定的算子对，给出存在左可逆算子C使得M_C左可逆的充要条件；存在可逆算子C使得M_C左可逆的充要条件；存在左可逆算子C使得M_C是左Fredholm算子的充要条件；存在可逆算子C使得M_C是左Fredholm算子的充要条件；存在左可逆算子C使得M_C是左Weyl算子的充要条件；存在可逆算子C使得M_C是左Weyl算子的充要条件。

The popularization and application of the accounting computerization puts forward three new requirements for the internal control system, the first is to ensure the precision of the original data operation, the second is to cont rol the functions of the operators, and the third is to avoid the risks caused b y the paperless of the accounting files and the invisibleness of the computer op eration.

会计电算化信息系统的普及运用，给内部控制制度提出了3点新的要求，一是要确保原始数据操作的准确度；二是要控制操作人员的职能；三是要避免会计档案无纸化和电脑操作无形化带来的风险。

The generators and irreducible representation coherent stato of the SU(1,1) group are constructed by using the inverse operators of hose harmonic oscillator, and the inhomogeneous inverse differential realization s of the SU(1,1) group are derived

利用玻色振子的逆算符构造了SU（1，1）群的生成元和不可约表示的相干态，导出了SU（1，1）群的非齐次逆微分实现。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。