查询词典 functional analysis

Then we prove a nonsmooth minimax theorem by usingsome relative results about multi-valued maximal monotone mappings. Finally, we construct a nonsmooth minimax network to search for thesaddle points of the saddle functional. We have also proved that thetrajectory of the network is asymptotically convergent to thesaddle point of the saddle functional by usying Lyapunov function.

我们先介绍有关Clarke的广义梯度，次梯度及鞍泛函的有关结论；然后利用多值极大单调映象的满射性结果证明了一个非光滑的minimax定理；最后建立了一个非光滑的minimax神经网络来求解泛函的鞍点，并在一定的条件下构造出LYAPUNOV函数来证明网络的轨道渐近收敛于鞍泛函的鞍点。

A three kinds variables potential energy functional, which is equal to the functional of minimum potential energy principle, is proposed.

本文给出了与最小势能原理的泛函等价的三类变量的能量泛函_3，其中应力应变关系是变分过程中的约束条件。

We present an inverse method based on Tikhonov regularization theory. A regularized functional is established and regularization parameters are deduced with Arcangeli criterion and Morozov discrepancy principle. The functional is solved by sensitivity coefficients and Newton-Raphson iteration method.

充分考虑非线性瞬态热传导过程测温数据的误差特点，根据Tikhonov正则化理论，构造合适的正则化泛函，利用Arcangeli准则和Morozov偏差原理确定正则参数，采用灵敏度系数和Newton-Raphson迭代法求解该泛函。

In this paper, the theory of functional equivalence serves as a guiding principle to analyze the special literary pattern—Thunderstorm, an English version of this drama. The author tries to reveal the feasibility of applying functional equivalence in drama translation and find the methods to achieve "the closest natural equivalence" on different language levels.

本文正是运用了奈达的这一理论来评析这一特殊的文学形式—戏剧《雷雨》的英译本，通过对译本中大量的例子分析，试图揭示出功能对等理论在戏剧翻译中的可应用性，在不同的层面上达到与原文"最自然且最切近的译文"的方法。

Patients in the treatment group received the treatment of opposing needling combined with functional exercise,while those in the control group were given only functional exercise.

临床研究采用随机对照的方法，将60例膝关节骨性关节炎的病人分为治疗组、对照组各30例。

Aim at the shortage of vertically additive method by which we can't discuss forced oscillations of systems of partial functional differential equations,we directly use the oscillatory definition,Green's formula and boundary condition of homogeneous Neumann to change the oscillatory problem of solutions to a class of systems of quasilinear parabolic equations of neutral type into the problem of which functional differential inequality haven't eventually positive solution.

针对垂直相加法无法讨论泛函偏微分方程组的强迫振动性的不足，直接利用振动的定义、Green公式以及齐次Neumann边界条件把中立型抛物微分方程组的振动问题转化为泛函微分不等式不存在最终正解的问题，然后利用最终正解的定义及上下极限得到了在齐次Neumann边界条件下判别其所有解振动或全振动的充分条件。

The new type of multi-functional anticormsive coatings has been developed by using nonpoisonous raw materials and self-made multi-functional antibacterial agent.

采用无毒原材料和自制的抗菌、防霉、抗藻多功能纳米无机抗菌剂，研制了一种适用于高速公路服务区污水池内壁的多功能防腐涂料。

In addition to entering individual functional locations and reference functional locations, there is a list editing option available.

除输入各个功能位置和参考功能位置外，还有一列表编辑选项可以使用。

You can use reference functional locations when working with the list editing option for functional locations.

在使用列表编辑选项时，还可使用参考功能位置。

From this study, it could be inferred that by connecting different bio-functional molecules to the MB, we can endue the compounds both abilities of bio-functional molecules and MB, which were the recognize ability and the super paramagnetism.

此研究还表明：将不同的生物功能基团连接到合成的磁性颗粒上，赋予其生物大分子的识别特性和磁性颗粒的磁性。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。