查询词典 kernel of integral equation

One problem which should be solved is how to determine window width when theories and methods of nonparametric kernel density are employed to simulate stand structures,which is also the core of applying the nonparametric kernel density estimation in practice and directly related to simulation precision.

应用非参数核密度估计理论和方法，对林分结构进行模拟中，一个必须解决的问题就是窗宽的确定，这也是非参数核密度估计在实际应用中的核心问题，它直接影响模拟精度。

Nutlet and Kernel: All kinds of Nutlet and Kernel is enriched with V-B ,V-E, especially the content of mineral substance is higher than other kinds of food. Moreover, they are the unrivalled source of protein.

果仁和种仁：各种果仁、种仁含有丰富的V-B 、 V-E ，尤其是矿物质含量比其他食物都高，此外还是蛋白质极佳的来源。

The new methodof defining spline function will generalize the concept to the more universal Hilbert space. Hence, we take into consideration the interpolation spline function, general linear differential operater in semi- open interval and the Green function defined accordingly, and the reproducing kernel to produce the Green function and prove the existence of the reproducing kernel.

采用了一种新的样条函数的定义方法，把样条函数的概念推广到更一般的Hilbert空间上，再考虑半开闭区间a，+∞上的插值样条函数，一般线性微分算子及其定义的Green函数和再生核，构造出Green函数并且证明了再生核的存在性。

The finite-gain stability of the controller was proved under the assumption that the kernel function was local Lipschitz in this open-loop inverse control system. The sufficient condition for that Gaussian kernel function to the local Lipschitz of either variable was given. The stability of the whole system was also proved under some proper assumptions.

针对此开环逆控制系统，在核函数为局部Lipschitz的前提下，证明了控制器是有限增益稳定的，并给出Gaussian核函数对任一变量的局部Lipschitz性的充分条件，在一定合理的假设下给出了控制系统的稳定性结论。

Topics covered include: density estimation incorporating such topics as kernel density estimates, nearest neighbor estimates, variable kernel methods, orthogonal series estimates, maximum penalized likelihood estimates

包括：密度估计（如：核密度估计，最近邻估计，可变核方法，正交序列估计，最大补偿似然估计法，带宽选择），非参数回归(如：核方法，样条方法，补偿似然估计，带宽选择，广义可加模型，)和bootstrapping方法。

In this thesis,the main problem investigated is the relationship between Hilbert spaceH which {ei}ni=1 let be an orthonormal basis and the kernel by making use of the properties of the kernel of H.

笔者主要研究了以{ei}in=1为正交基的再生核Hilbert空间H中的核函数的一些性质，并通过这些性质简要的描述了Hilbert空间H与它的核函数之间的关系。

In the step of modeling, normalization in feature space is discussed. In the step of fault detection, SPE statistic is constructed more easily by virtue of the kernel matrix. Partial kernel PCA is developed to extend the fault isolation based on structured residuals to nonlinear system.

在建模阶段，讨论了特征空间标准化的问题；在故障检测阶段，提出了一种利用核矩阵构造SPE统计量的方法以便故障检测更易实现；在故障隔离阶段，提出了部分KPCA算法，把基于结构化残差的故障隔离方法推广到非线性系统。

More than 30 kinds of meshfree methods are reviewed in this paper in the light of weighted residual method, and different meshfree methods can be viewed as different forms of weighted residual method and/or with different approximation functions. Various kinds of meshfree approximate schemes are presented in detail, including moving least square approximation, kernel and reproducing kernel approximation, partition of unity approximation, radial basis approximation, radial point interpolation and natural neighbor interpolation.

详尽介绍了各种无网格近似方案(包括移动最小二乘近似、核近似和重构核近似、单位分解近似、径向基函数近似、点插值近似、自然邻接点插值近似等)和无网格法中常用的各类加权余量法(伽辽金格式、配点格式、局部弱形式、加权最小二乘格式和边界积分格式等)，并讨论了数值积分方法和边界条件的处理等问题。

Boils the cup tremella fuciformis gruel for oneself, inside adds the red jujube, the Chinese matrimony-vine, the husked lotus, the red bean, the lotus flower seed pod kernel, the corn kernel, the black soybeans, the Chinese angelica, the codonopsis pilosula, the radix astragali, Gui Yuan, mung bean, lily, almond and so on.

给自己煮杯银耳粥，里面加红枣、枸杞、莲子、赤豆、薏仁、玉米粒、黑豆、当归、党参、黄芪、桂园、绿豆、百合、杏仁等等。

The dinner is quite complex, I boil pot tremella fuciformis soup, inside adds the red jujube, the Chinese matrimony-vine, the husked lotus, the red bean, the lotus flower seed pod kernel, the corn kernel, the black soybeans, the Chinese angelica, the codonopsis pilosula, the radix astragali, Gui Yuan, mung bean, lily, almond and so on.

晚饭就比较复杂，我煮一锅银耳汤，里面加红枣、枸杞、莲子、赤豆、薏仁、玉米粒、黑豆、当归、党参、黄芪、桂园、绿豆、百合、杏仁等等。

For every one of my New Year resolutions, I have been a backslider for years.

说到我的新年决心，我每年都做

With empathy and focus on a feeling level, we can all relate to the common ground of mutuality of emotions.

有了同情心和感觉上一级的重点，我们都可以涉及到相互的情感共同点。