再生核

In the fifth chapter, we use the the methods of function theoryestablised a class of analytic reproducing kernel space, we call it a generalized Arveson space.

在第五章中，我们利用函数论的方法建立了更广泛的一类解析的再生核空间，称之为广义Arveson空间，讨论了它的一些关系，并得到了一些有趣的结果。

In the six chapter, we use the methods of reproducing kernel and Carleson measure charactering the pointwise multipliers on the Hardy space, Bergman space on the polydiscs, we also obtain a necessary condition for a composition operator to be a compact operator, and a addition result on the range of composition operator on the Hardy space.

在第六章中，我们利用再生核与Carl e Son测度刻画了多圆Hardy空间到Bergman空间，以及Bergman空间到Bergman空间的点乘子，得到Hardy空间与Bergman空间上复合算子为紧的一个必要条件，以及在Hardy空间上关于复合算子值域的一个结果。

In this paper,the boundary singular kernel method in Reproducing Kernel Paicle Method has been applied to impose the essential boundary conditions in EFGM by revising the MLS shape function.The stress field and the displacement field are analysed by linear elastic theory.The contour integral method is used to calculate the J-integral,then the stress intensity factors of mixed-mode crack is acquired.The correctness and the validity of the method are validated.

本文将再生核质点方法中的边界奇异权方法引入EFGM中，通过对MLS形函数进行修正实现了本质边界条件在节点处的精确施加；运用线弹性断裂理论分析裂纹板的应力应变场，采用围线积分法计算J积分，给出了复合型裂纹板的应力强度因子的无网格伽辽金方法。

Relationship between the dual form and primal form of solution based on SVM method in a frameable reproducing kernel Hilbert space is studied.

在基于标架型的再生核希尔伯特空间中，研究了SVM算法下，解的对偶形式和原形式之间的关系，进而将SVM算法与最小二乘法相结合，讨论了支持向量机的半参数估计。

Hence, reproducing kernel function has not only the advantage of calculation, e.g.it can transform the integration into the sum of finite function values, but also theadvantage of local characteristic of wavelet function.

所以再生核函数既具有计算优势，如能将积分计算准确地转换成有限个函数值的和来计算，又具有小波函数的局部刻画优势。

In this thesis, a Hilbert space 〓 with reproducing kernel is e...

本文建立一个有再生核的函数Hilbert空间〓。

In this thesis, a Hilbert space 〓 with reproducing kernel is established.

本文建立一个有再生核的函数Hilbert空间〓。

It not only explores a novel application of the reproducing kernel Hilbert space theory, but also provides a new view on solving the differential equation.

本文的研究拓宽了再生核理论的适用范围，为波动方程的求解问题提供了新的框架。

We discuss at length the properties of a very important class of kernels which lead to the key notion of Reproducing Kernel Hilbert Space.

我们将详细的讨论核心课程中十分重要的特质，其引导出再生核希尔伯特空间理论中一个非常关键的概念。

Secondly, it is proved that the solution space of second-order wave equations can form the reproducing kernel Hilbert space H 1 0,+∞.

其次，证明了二阶波动方程的解空间构成再生核空间H 1 0，+∞。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。