查询词典 componentwise convergence

Constructionalism Study Theory offers theoretical fundaments for the math education revolution, because that the modern math building itself is built on the basis of modern math fundaments of which the convergence axiomatic system is the representative.

建构主义学习理论为数学教育改革提供了理论基础，因为现代数学的大厦，本身就是在以集合论公理体系为代表的现代数学基础上建构起来的。

In this paper, we establish the convergence problem of PMA by applying axiomatic model too.

本文同样利用公理化方法证明了人口迁移算法的概率收敛性。

When we teaches the Theory of Probability and Statistics, we must pay attention to the teaching of typical mathematical thinking, such as axiomatization thinking, matrix thinking, convergence according to probability, statistical deduction and so on.

在讲授《概率统计》时，要注重公理化思想、模型思想、依概率收敛、统计推断等典型思想方法的教学。

The two kinds of classics are essentially different: the critical reassessment of classics is carried out on the axis of vertical convergence, and the mass selection of classics relies on the connective operation on the axis of horizontal assemblage.

而两种经典化有本质的不同，批评性经典重估，主要是纵聚合轴上的比较选择操作；群选的经典更新，主要是横组合轴上的粘合连接操作。

That Babette's infidelity was rooted in an uncontrollable fear of dying is especially important, since it signals the convergence of Jack's fear of dying and his fear of plots.

这芭贝特不忠是植根于一种无法控制的恐惧死亡是特别重要，因为它信号的收敛性杰克的恐惧的死亡和他的恐惧阴谋。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

This dissertation deeply studied the theory of CMAC neural networks from learning convergence, generalization ability and the improving of the network model and algorithm, and studied the applications of CMAC neural networks in tank barbette control system combining the national defense research project"Control Algorithm Study of Tank Barbette System". These works are meaningful to enrich the architecture of CMAC theory and to improve the performance of tank gun control system.

本文着重从学习算法的收敛性、网络的泛化能力以及对算法和模型的改进等几个方面深入研究了CMAC神经网络理论，并结合国防95预研项目"坦克炮塔系统控制算法研究"对CMAC神经网络在坦克炮塔控制系统中的应用进行了研究，这些工作对于丰富CMAC神经网络的理论体系，提高坦克炮控系统的性能具有重要的意义。

Next,it shows that if vectorvalued normed sequence space Ehas the bounded uniformly convergence property or0-GHP,then Eis a barrelled space if and only if 〓.

其次证明了，若矢值赋范序列空间E有界一致收敛或者E具有0-GHP，那么E是桶型空间的充要条件为〓〓。

Next,it proves that if E is a barrelled space and F〓 is a locally convex space,Kis all the compact operators of L,then the weak operator topology and the uniformly operator topology have the same sub-series convergence series in Kif and only if 〓 contains no copyof 〓.

其次又得到，若E是桶型空间，〓是局部凸空间，那么紧算子空间K中弱算子拓扑与一致算子拓扑具有相同子级数收敛的充要条件是〓不拓扑同胚地包含〓。

Regarding small convergence interval of conical degree as machinery sealed ring basic principle of structure optimization,with the maximum contact pressure as goal function,with the wear allowance of float ring as designing variable,the first order optimization method was applied to carry on thermal-structural coupling finite element optimization analysis of machinery sealed ring.

以小锥度的收敛间隙为优化原则，以最大接触压力作为目标函数，以静环端面的磨损裕度为设计变量，采用一阶优化法进行机械密封环热-结构耦合有限元优化计算。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了