无穷

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。

The convex differential analysis in infinite-dimensional spaces has been studied almost seventy years.

无穷维空间的凸微分分析的研究已有近七十年的历史。

Infinitely many convex functions with quality factors better than that of the convex function in entropy were discovered.

发现了品质因数比熵中凸函数更好的无穷多凸函数。

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。

Third, the discussion of the corresponding relationship of the real angles to the apparent real angles is performed, the asymptotic bias and MSE of real angles are given. Fourth, based on above conclusions, the analysis of two typical cases is made by numerical analysis and computer simulation: Case A when the impinging signals are divided into desired signals and interfering signals: it is shown that similar to Cyclic estimation of DOA, the smaller the separation between interfering direction and signal direction, in general, the smaller the estimation variance.

首先，研究了无穷快拍时信号数目有误的最大似然估计，引入了视在真实角度的概念；其次，导出了视在真实角度最大似然估计大样本时的分布以及渐近均方误差的解析表达式，而且还证明了：Stoica性能分析结果是现在的分析结果在信号数目准确时的特例；第三，讨论了真实角度与视在真实角度的关系，给出了真实角度的渐近偏和渐近均方误差；第四，依据前面的结果，利用数值分析和模拟实验的方法对两种典型情况做了分析： 1 在入射信号被分为干扰信号和所需信号情况下：结果表明：与CyclicDOA估计一样，干扰方向与所需信号方向靠的越近，所需信号估计的方差越小，越远离，方差越大。

Today Tianjin is opening her arms wide to welcome the challenges and opportunities displaying her charm of being a world cosmopolis.

今日天津，正以世界级城市的气魄向世人展现无穷魅力，正敞开包容四海的博大胸怀将目光投向更远。

In the thesis, the author firstly clears up some basic theories of wavelet analysis, revises some formulae and proves and deduces some theorems and formulae in detail and gives a counter example and paradox.

本文首先对小波分析的理论部分进行整理，对部分公式进行修正，同时给出了部分定理和公式详细的推导和证明，并且给出无穷区间积分的一个反例和悖论。

Under private ownership, man's needs are alienated: the inexhaustible need to possess wealth, the need to exploit and control others, the need for delicacy and crudeness, and the need to take labour as a means of subsistence.

在私有制下，人的需要发生了异化，主要表现为：无穷拥有财富的需要，剥削控制他人的需要，精致与粗陋的需要，把劳动作为谋生手段的需要。

The size of the equivalent stiffness matrix of the outer-domain is only related to the number of the crunode in the interface between inner-and outer-domain,so the final stiffness matrix has a very small size.The numerical results agree well with the analytical solutions and the present method is simple,quick and has a good convergence.

无限相似单元法是无限剖分与有限元方法的结合，它打破了有限元法的限制，把计算域剖分成无限个"有限"大的单元，同时采用一些数学方法，解决了求解无穷多个单元的问题[3—11]。

Derive some new conditions on existence of eight limit cycles for a cubic system.

刘一戎。一类高次奇点与无穷远点的中心焦点理论。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。