查询词典 functional

According to that Caristi fixed point theorem is equivalent to Ekeland variational principle, we weaken the condition that the functional is bounded from below in Ekeland variational principle, then we enlarge the area of the applicable functionals.

鉴于Caristi不动点定理和Ekeland变分原理的等价性，我们对Ekeland变分原理中泛函的下方有界的要求作了相应的削弱，从而扩大了适用泛函的范围。

On condition that the nonlinear uncertain function is bounded, based on state observer and controller, we derive a sufficient condition for robust stability independent of delay by the Lyapunov functional theory.

在非线性不确定性满足有界条件下，通过构造增广系统，利用Lyapunov稳定性理论，给出了该不确定性系统基于观测器的鲁棒镇定的充分条件，并给出了相应的状态观测器和鲁棒控制器。

Assignment of infinite many poles for the first order generalized distributed parameter control system, coupled with the first order generalized lumped parameter control system, is discussed in Hilbert space with functional analysis and operator theory. The solutions with the constructive expression are given by the generalized inverse one of bounded linear operator.

应用泛函分析算子理论的方法，讨论了Hilbert空间中一阶广义分布参数控制系统与一阶广义集中参数控制系统所构成的一阶耦合广义控制系统的无限多极点配置问题，利用有界线性算子的广义逆给出了问题的解及解的构造性表达式。

We first show some properties of such operators and give an explit description about the image of a linear bounded operator on a linear normed space. Then based on these results, we show the mean ergordic theorem on a C*-bial-gebra and get a sufficient and necessary condition for a linear functional to be Haar measure. Finally we discuss the sufficent conditions for the existence of Haar measure on C*-bialgebras.

本文首先通过考察这样算子的性质和刻画赋范线性空间中连续线性算子的像集的性质，证明了C*－双代数中的一个平均遮历定理，得到了C*－双代数中的线性泛函是 Haar 测度的充分必要条件；利用遍历定理和这个充分必要条件探讨了C*－双代数中 Haar 浏度存在的一些充分条件。

The cartoon component of an image is modeled by a bounded variation function;the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.

图像的卡通部分是由一个有界变差函数来刻画，相应的将BV罚项合并到变分泛函中需要解偏微分方程。

Keywords Biomedical imaging;The class of Special functions of Bounded Variation;Level set methods;Mumford–Shah functional;Minimal partition problem;Diagnostics of glaucoma diseases;Segmentation and measurement

生物医学图像处理；特殊有界变差函数空间理论；水平集方法； Mumford-Shah泛函模型；最小分割问题；青光眼诊断；视乳头图像分割与度量；卫星雷达干涉图相位解缠

In this paper, the boundedness of the solutions to neutral functional differential equations with finite delay has been studied.

本文研究了具有有限时滞中立型泛函微分方程解的有界性问题，得到了方程解的指数渐近稳定性蕴涵有界解的存在性的新的结

According to Boyce, patients have experienced significant improvements in hemodynamics, functional class activity levels, and quality of life.

这组患者使用了新一代的左室辅助装置后血液动力学、心功能分级和生活质量都有了明显的改善。

This model includes instruction window model, limited functional unit model, branch mis-prediction model, instruction and data cache miss model.

为了评估大数据集的基准程序，本文进一步提出了微处理器的性能分析模型MAMO(Microprocessor Analytical MOdel)。

The values of ecological niche breadths of double dimension and niche overlaps in all kinds of functional groups were not as much as those of single dimension niche, yet natural enemies, in transgenic insect-resistance hybrid poplar 741 could be better adapted to environment than those in control.

各种功能类群的时－空二维生态位宽度和生态位重叠均不如单维生态位宽度和生态位重叠值大，但抗性株系天敌类群对环境的适应性优于对照。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。