查询词典 converse theorem

Theorem 4(Relation of a Convergent Sequence between its Subsequence) If the sequence converges to ,then any of its subsequence is also convergent, and the limit is also .

定理4(收敛数列与其子数列间的关系)如果数列收敛于，那么它的任一子数列也收敛，且极限也是。

Theorem 2 (Boundedness of a Convergent Sequence) If the sequenceis convergent, thenis bounded.

定理 2 如果数列收敛，那么数列必定有界。

Theorem 8 If the series converges absolutely, the series must be convergent.

定理8 如果级数绝对收敛，则级数必定收敛。

A method of building the fuzzy model with constant-value consequence for MIMO complex processes is presented by means of the iterative learning algorithm of fuzzy model consequent parameters, and the convergence of the iterative learning algorithm is proved according to the convergent theorem of bounded positive-term series, moreover, the effectiveness of the presented fuzzy modeling method is also demonstrated by a simulation example.

深入讨论了常值后件模糊规则模型与映射的关系，并证明这种模糊模型所表示的模糊系统具有在紧集上逼近任意实值连续函数到任意精度的能力，为将这种模糊模型用于复杂过程的建模和控制作了一些理论准备。

For the compact operators series and Eberlein-Smulian theorem,first,it presents acharacterization of unconditional convergent series for the case of sequentially complete lo-cally convex spaces.

关于紧算子级数与〓定理，首先给出了序列完备局部凸空间中无条件收敛级数的一个特征。

At first, it presents a survey of the studyhistory as well as present situation in the λ-multiplier convergent series,invariant, infinite matrix algebras, Schur-matrices and p-uniform Toeplitzmatrices and the Eberlein-Smulian theorem, etc.

本文共5章。首先回顾了〓数乘收敛级数、不变性、无穷矩阵代数、Schur—矩阵与p-一致Toeplitz矩阵以及Eberlein-Smulian定理等的研究历史和现状。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性，〓数乘收敛级数的全程不变性，有基空间中的〓数乘收敛级数，无穷矩阵拓扑代数〓中的紧集，〓在不同拓扑下具有相同紧集的刻划，〓的弱序列完备性，Schur—矩阵的刻划，p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

Based on the convex analysis and duality theorem, a kinematic shakedown formulation for 3-D problems is derived.

根据下限定理，通过引入P泛数，并采用应力函数法构造平衡应力场，建立了极限下限分析的有限元数学规划格式。

The discriminance methods and expression of generalized alternative optimum solutions of linear programming is given by proving that the equivalent of optimum extreme point and extreme point of optimum solution sets of linear programming and applying the theorem of convex polyhedron.

通过证明线性规划最优解集的极点与线性规划最优极点的等价性，利用凸多面体的表达定理，给出了广泛意义下线性规划无穷多最优解的判别方法及表达式。

Xu and Noor had proved the theorem on convergence of three-step iterations for asymptotically nonexpansive mapping on nonempty closed, bounded, and convex subset of uniformly convex Banach space.

王娴 ，何震Xu和Norr已经证明了建立在一致凸Banach空间的一个非空有界闭凸子集上的渐进非扩张映射的三步迭代的收敛定理问题。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。