查询词典 resolvent kernel

Firstly, a two-dimension tensor product space is constructed, in which reproducing kernel exists. Secondly a multiresolution analysis is constructed in the reproducing kernel space. Then an orthonormal basis in is obtained. Thus,the reproducing kernel space can be expressed by wavelets spaces. Wavelets approximation formula and sampling formula can also be obtained in the space. Besides, the wavelets approximation formula is simple and easy for calculation. That completes the theory of multiresolution analysis in finite interval fully and provides theoretical base and algorithm for application.

首先，构造二维张量积空间，并证明该空间具有再生核；其次在再生核空间中，建立多尺度分析，获得该空间的一个标准正交基，使得再生核空间可以由小波空间来刻画，进而得到小波级数和相应的采样公式，而且给出的小波级数形式简单易于数值分析，进一步完善了有限区间上的多尺度分析方法，也为实际应用提供了良好的理论基础和算法。

The method improves performance of KPCA by reasonably combining a local conditionally positive definite kernel and a global kernel. The experiment results indicate the new kernel function certainly improves the performance of KPCA.

利用组合核函数提高核主分量分析的性能，该方法将一个全局核函数与一个新的局部核函数条件正定核函数进行合理组合，从而提高KPCA所提取特征的质量。

Through analyses, we can make the conclusion that, the relation of seed fresh weight dry weight and days after pollination, fat percent content, protein nut content, starch nut content can be expressed with Logistic equation; the change of kernel volume, moisture content of kernel and days after pollination accorded with three ascend curve equation. Kernel protein content, starch content and the changes of days after pollination tallied with reciprocal equation and they had high relation.

经过统计与分析，可以看出籽粒鲜重积累量与授粉后时间、籽粒干重与授粉后的时间、脂肪净含量、脂肪百分含量、蛋白质净含量、淀粉净含量与授粉后的时间均可以用Logistic方程描述，籽粒体积变化与授粉后的时间关系表现为三次上升型曲线方程；籽粒的水分含量与授粉后的时间关系表现为三次下降型曲线方程；籽粒中蛋白质百分含量与授粉后时间的动态变化规律、籽粒中淀粉百分含量与授粉后时间的动态变化规律符合倒数方程，均具有较高的拟合度。

By using testing functions to make comparative research on the precision of approximate models which were built by RBF under the condition of different sample amounts and different kernel function types, a conclusion was drawn: the model quality built by Reciprocal Multiquadric RBF as kernel function was highest when the sample amout was big, and the model quality built by Gaussian RBF as kernel function was highest when the sample amount was small.

运用测试函数对在不同样本数量与不同核函数形式下所建立的近似模型的精度进行对比研究，得出逆多二次函数与高斯函数作为核函数分别在大样本和小样本情况下精度最高的结论，并验证了径向基函数近似模型方法能够兼顾效率与精度。

Then, we focus on the construction of a new type of kernels. It has been pointed out that the kernel function of SVM is equivalent to the reproducing kernel of a certain Reproducing Kernel Hilbert Space.

首先对线性核函数、Gaussian核函数等已经用于广泛实践的核函数的性能给出了简要评述，然后重点构造了一类新的核函数。

The nut shape of walnut among 160 walnut germplasm resources was mainly round and ovate, shell texture was mainly smooth and very smooth, Nut diaphragm was leather, Shell crest was degradation and underdevelopment, Shell suture line was low and flat, Kernel colour was light amber, Kernel sapor was fragrant and sweet, Ease of removal of kernel halves was easy.

将27个核桃居群坚果的9个性状进行巢式方差分析，结果表明居群间和居群内差异均达极显著(P＜0.01)，说明其居群间和居群内存在广泛的变异。

By extending the incremental singular value decompositionto the kernel space,the kernel formulation of incremental kernel PCA,which possessed much lower computational complexity and was suitable for online model updating,was obtained.

RKPCA算法通过将递归奇异值分解推广到核空间，给出了核形式描述的递归KPCA算法，运算复杂度比KPCA明显降低，保证非线性监控模型能够在线更新。

Sinceβkernel is non-symmetric, there will be problem in the precision of graduation if using kernel graduation method, because, generally, kernel function is supposed to be symmetric in kernel graduation method, thus will cause boundary deviation in actual application.

但β核为非对称核，如果使用核修匀方法，在修匀精度上仍会存在问题，因为一般核修匀方法中均假设核函数具有对称性，在实际应用中将导致出现边界偏差现象。

Symmetric kernel graduation ; non-symmetric kernel graduation ; Gamma kernel ; boundary bias

对称核修匀；非对称核修匀； Gamma核；边界偏差

Scanning electron micrograph results showed no surface rupture either on garlic skin or garlic kernel by sodium alginate solutions. It also indicated tubular texture for the surface of garlic skin, and sponge-like structure for the surface of garlic kernel, respectively. Average surface roughness by magnetic force microscopy were under 57 for garlic skin, and under 13 for garlic kernel, respectively.

扫描式电子显微镜影像观察可知海藻酸钠薄膜溶液涂布后皆不会对蒜皮或蒜仁表面造成破坏，并且发现蒜皮表面较为粗糙之维管组织，相对於蒜仁表面较平滑之海绵薄壁组织。

The studies on the developing of new media are very important to the increasing of the area density of HDD and to the implementation of hybrid recoding technology.

光磁混合记录方法，是一种可以突破超顺磁极限的限制，并进一步提高硬盘记录密度和读写速率的一种新型超高密度信息存储方式。

In io, mTOR inhibition promotes T cell anergy under conditions that would normally induce priming.

体内研究中，在正常可激发免疫反应的条件下，抑制mTOR可促使T细胞无能。