核函数

At the same time, the conditions of affine transform approximation are given in this chapter.

第三章在仿射模型的基础上，首先从函数空间的角度建立起不变特征提取的模型，将不变特征提取归结为寻找具有特殊性质的核函数。

The representative points of positive case support vectors and negative case support vectors in sample set are defined, the measure and eigenfunction between sample x and y allusiveness from initial space to eigen space under a kernel function k are researched, and a correlative theorem with demonstration is given.

定义了样本集中的正例支持向量和反例支持向量的代表点，研究了原始空间样本x，y在核函数k映射下在特征空间中的x，y映象之间的度量和特征函数并给出了相关的定理及证明。

In order to enhance the difference of homogeneity measurement values between pixels, Cauchy distribution function was selected as the kernel function for proposed measurement method of the image homogeneity.

为增强图像中各像元的同质性测度值差异，以柯西分布函数作为核函数，提出一种图像同质性测度的新方法。

First, a non-parametric density estimate method based on kernel function is adopted to estimate the statistic distribution of the SAR images, and then, the SAR images is segmented with Markovian contexture by maximizing a MAP estimator, taking the former estimation as its likelihood term.

该算法首先采用基于核函数的非参数方法估计SAR图像的统计分布，然后将此统计量作为图像分割的似然函数，利用马尔可夫上下文约束进行SAR图像分割。

Then after the author researches the interaction problem of the partial derivative operators with respect to the two points P and Q, analytical expressions as well as series expansions of the kernel function within disturbing gravity field elements are determined, and their explicit expressions which can be applied practically are given for the first time.

深入研究了关于 P 和 Q 两点局部导数算子的相互作用问题，得到了扰动场元之间核函数和协方差函数的解析与级数展开式，首次给出了较为实用的明晰表达式。

These proposed functions are a kind of universal functions. Their main features are not self-regular, and that the value at the boundary of their feasible region is finite.

这些核函数是一类相当广泛的函数，它的主要特征是非自正则的，而且在其可行域边界上的值是有限的。

The Neumann boundary value prob-lem is firstly reduced into the equivalent natural boundary integral equation withthe kernel possessing 2nd-order singularity,and then the corresponding variationalproblem on the boundary is obtained.By applying Quak trigonometric wavelet basisBjsee(1.2.3as boundary elements and the method of expanding kernel functionto its Galerkin discretization,we obtain simple computational formulae of the en-tries in the stiffness matrix.

首先，我们将Neumann边值问题归化为等价的带有2阶强奇性核的自然边界积分方程，然后化为边界上相应的变分形式，以Hermite插值Quak三角小波基Bj见(1.2.3作为边界元并利用积分核函数展开法将其离散，得到了十分简单的刚度矩阵系数的计算公式，而且刚度矩阵具有十分简单的形式，它是分块循环对角阵。

In this space it is difficult to obtain the reproducing kernel when n ≥ 2 and thedifficulty is getting more obvious as n is increasing.

在再生核空间〓中，当n≥2时，再生核函数的求得很困难，而且随着n的增加，求解难度急剧增加。

This method is tectonic on foundation of nuclear function theory special and linear space, each issue of rank nucleus of progression of the Volterra that seek solution changeover uses output observation vector to be in to beg Xierbaite the some in the space child the umbriferous problem on the space, make originally complex, hard calculative is nonlinear in the approachs a problem to be built in place compose linear space of Volterra progression of the system solve ably with the means that accumulates inside vector, gave out specific algorithm.

该方法在核函数理论基础上构造非凡线性空间，将求解Volterra级数的各阶核的新问题转换为求用输出观测向量在希尔伯特空间中某一子空间上的投影新问题，使原本复杂、难以计算的非线性系统的Volterra级数的逼近新问题在所构建的线性空间中巧妙地以向量内积的方式解决，并给出了具体算法。

Kernel principal component analysis kernel function local linear reconstruction coefficient of the projection.

中文关键词：核主成分分析核函数局部线性重构，投影系数

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了