查询词典 compactification theorem

The properties of the λ-cut sets of the lower and upper approximation are discussed,and then the F-Union Decomposition theorem of the lower and upper approximation of rough fuzzy sets is given.

基于此，本文在逐一增加属性形式下的等价类F-分解的基础上，讨论了粗模糊集的F-分解形式，并给出了粗模糊上、下近似集合的F-分解定理及相关推论。

The decomposition theorem becomes a bridge connecting fuzzy matrix theory with Boolean matrix theory, so we start this problem from Boolean matrix.

由于分解定理建立了模糊矩阵和布尔矩阵之间的桥梁，所以我们首先从布尔矩阵开始对这个问题展开研究。

The main contributions of the paper are listed as follows:(1) Propose methods of key-locks, such as equations set, Newton's interpolation formula, and the prime factor decomposition theorem, to implement access control.

论文的主要研究成果为：(1)提出了利用方程组、牛顿插值公式和素因子分解因式等钥—锁配对法来实现一般的访问控制。

A simultaneous decomposition theorem of a matrix triplet over an arbitrary division ring F and its practical algorithm are derived based on complicated techniques of matrices.

我们导出了任意除环上三矩阵的同时分解定理，给出了其具体的算法。

It is the first time to have the theorem of orthogonal decomposition, a theoretical kernel in inverse gravimetric problem, realized in practice.

文章针对物理大地测量学反问题研究中的拟调和性重力场源及重调和性重力场源，将该研究中的理论核心——正交分解定理予以具体实现。

The optimal set of discriminant vectors can be acquired througn singular value decomposition theorem.

利用奇异值分解定理，将求取鉴别矢量转化为对矩阵求奇异向量。

Draw lessons from increment type observation implement with PI condition observation implement research achievement, combine heat to dominate a field complex control system designs bunchy form normally the actual condition of regulating system, offer observation of function of PI of increment style broad sense implement and the concept that its condition feedbacks, the tectonic regulating system that cluster form and observation implement feedback of shirt-sleeve broad sense condition controls a system, learn an analysis through number, give out the sufficient condition of IFO-PIO/BS reachs his corresponding theorem and deductive proof, announce give this to controlled systematic equivalence to be had at IFO-PIO/BS change the function that gain condition feedbacks.

借鉴增量式观测器和PI状态观测器的探究成果，并结合热控领域复杂控制系统通常设计成串级调节系统的实际情况，提出增量式广义PI函数观测器及其状态反馈的概念，构造串级调节系统和观测器相融合的广义状态反馈控制系统，通过数学分析，给出IFO-PIO/BS的充分条件及其相应定理和推论的证实，揭示出该控制系统等价于IFO-PIO/BS具有了变增益状态反馈的功能。

In this paper,according to the second kind of reciprocal theorem s of finite displacement,a cylindrical bend plate with large deflection is calculated.

本文应用付宝连的大挠度弯曲直梁的功的互等定理，求解一个柱面弯曲板条的挠曲面方程。

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

This statement of the Hohenberg-Kohn theorem of Density Functional Theory plays an exceptionally important role among all the fundamental relations of molecular physics.

这Hohenberg科恩职能理论在的全部分子物理学的基本关系中起异常重要作用的密度的定理的陈述。

My father is over 60 years old, and he lifts weights every day.

我爸爸六十多岁了，他每天都练习举重。

Then in a serious tone she declared:"It doesn't pay, dear boy, to look like a ninny with one's wife the first night."

两眼湿润了，她把身子蜷得很小，这样似乎可以更好地闻闻自己。