查询词典 reproducing 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。

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 differences of providing amino acid to kernel of different winter wheatculfivars.93-52 with high protein content in kernel had highest content of amino acid innutrition organs,indicated 93-52 can provide abundance material for protein synthesis ofkernel,namely the source in full,so the content of amino acid in kernel was highest;Compared Lumai21 with Jinanl7,the amino acid content in leaf of Lumai21 was a littlehigher than Jinan17,but the amino acid content in stem、sheath and spike was obviouslylower than Jinan17,also the amount of amino acid restored in nutrition organs was large,the translocation degree was low to kernel,namely the flow was not fluency,which wasthe main reason of low content of amino acid in kernel.

小麦不同品种向籽粒供应氨基酸水平的差异。籽粒蛋白质含量高的93-52各营养器官中的游离氨基酸含量均最高，说明93-52籽粒蛋白质合成所需底物供应充足，即源足，因而其籽粒游离氨基酸含量最高。鲁麦21和济南17相比，鲁麦21叶片中的游离氨基酸含量虽略高于济南17，但茎鞘和穗中的游离氨基酸含量却明显比济南17低，并且在后期鲁麦21营养器官中游离氨基酸滞留的多，向籽粒中的转移程度低，即流不畅，是造成鲁麦21籽粒游离氨基酸含量低的主要原因之一。

In chapter III,we consider the wavelet method for the approximation of the nu-merical Bergman kernel.It is very clear that the Bergman kernel plays an importantrole in the complex analysis and elliptic equations.The Bergman kernel has a closedrelation with the Riemann mapping,Green function,Neumann kernel and the Szeg〓kernel etc.

第三章研究了数值Bergman核数值逼近的小波方法，Bergman核在复分析和椭圆型方程中占有重要地位，它与Riemann映射、Green函数、Neumann函数、核等有着密切联系。

Non-symmetric kernel density estimation is first used for life-table graduation in order to solve boundary bais of symmetric kernel used in the standard kernel density estimator,and compare the symmetric kernel graduation with non-symmetric kernel graduation and obtain the satisfied result.

针对以地称核修匀方法存在着边界偏差这种现象，将非对称核密度估计用于生命表数据修匀中，提出了非对称核修匀方法，并与对称核修匀方法进行比较，得到了令人满意的结果，从而使核修匀方法得到了进一步的推广。

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中，对于H_0~1中的有界线性算子，用微分算子插值样条函数的方法给出了H_0~1空间中的再生核，利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式，并证明了其收敛性。

In Chapter Five, we compare numerical integration of the reproducing kernel with the integral equation of complexified trapezoid through a detailed solution to the initial-value problem of ordinary differential equation to exemplify that the method of interpolation spline integrating and the reproducing kernel is not only feasible in theory but also significant in pratice.

在第五章，我们通过具体的求解一个常微分方程的初值问题，把再生核方法的数值积分和复化梯形积分公式相比较，说明样条插值和再生核相结合的方法不仅是理论上可行的，而且还具有重要的实际意义。

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。

We put forward some new ideas, such as: About the kernel word "tree", Whether "Mu" has the tendency to refer to the tall trees in terms of "Shu" and "Mu"; About the word "sun", we analyze the reason why "Taiyang" has been used until now, but "Daming" which has the same way of construction with "Taiyang" has disappeared for a long time;About the kernel word "swim", we think that "You" is not the same with "Youyong", and takes"swim" as an obvious kernel word which has dual characters in historic and etymologic significance; About the kernel word "sit", though refers to a posture that differes in ancient time and modern days, did not change the meaning of itself, but changes in semantic field.

4提出了一些我们新的想法，如关于"树"、"木"之间，"木"是否有指高大的树的倾向；在核心词"日"中，分析了"大明"、"太阳"构词方式一样，而"太阳"却一直沿用至今的原因；对核心词"游"的再认识，认为"游"是汉语核心词有着社会历史和语源上的双重证据；在核心词"坐"中，古今坐姿的变化，并未使"坐"本身的词义发生演变，而是导致了"坐"语义场的变化等。

By usingthe relation between the Bergman kernel and the Riemann mapping and Plemly for-mulae,the second boundary integral equation about the Bergman kernel is obtained,moreover,the integral kernel is a continuous,without any singularity,parametized Neu-mann kernel.We discuss the case of some symmetric property,and get correspondingresults.

主要利用Bergman核与Riemann映照之间的关系，推导出Bergman核满足带有参数化Neumann核的第二类边界积分方程，积分核是连续的没有任何奇性，并讨论了具有某种对称性质的情形。

Last year I discovered he was constipated.I used the epsom salt and within an hour he was unblocked.A few days ago I noticed he was very agitated,bloated and no waste for two days.

去年，我发现他是constipated.i用泻盐，一小时后，他被unblocked.a前几天我发现他非常激动，臃肿，并没有浪费两天。

Mark Twain once said,"Golf is a good walk spoiled," and although many a duffer has spent a frustrating couple of hours on the links, few actually die as a result.

马克吐温曾经说过：高尔夫把好好的散步给毁了。