查询词典 cauchy kernel

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。

Let D be a bounded domain with C(1) boundary in Cn . The authors use the locally finite open coverring of the countable strictly pseudoconvex to define a new partitions of unity of σpoint finite local holomorphic , constructed a generalized Cauchy integral formula with discrete local holomorphic kernel on the bounded domain D and applied it to solving the 52equation.

设D 是Cn 空间中具有C(1)边界5D 的有界域，本文利用D 上一个局部有限的可数强拟凸开复盖，定义了D上一个新的局部全纯的σ点有限的单位分解，建立了D上一个更一般的具有离散局部全纯核的Cauchy积分公式并获得D 上52 方程的具有离散核的解的积分表示。

Furthermore, it can be changed into singular integral equations with Cauchy kernel by introducing Sherman transformation. Then , the numerical example of the elastic welding problem with symmetric cracks is given, and the stress intensity factors can be obtained.

通过应用平面弹性复变方法，把满足已知边界条件的弹性平衡问题转化为解析函数的边值问题，再通过引入Sherman变换，把边值问题化为Cauchy核的奇异积分方程组。

The diagonalization of the Cauchy kernel is one of the most important theorems in the theory of symmetric functions.

Cauchy核的对角化是对称函数理论中最重要的定理之一。

The latter one is our effort in attacking the diagonalization of the Cauchy kernel on Schubert polynomials (the noncommutative version conjectured by Alain Lascoux is still open).

后者是我们在关于Schubert多项式的Cauchy核对角化方面所做的努力（Alain Lascoux猜想在非交换的情况下也成立，但目前为止还没有被证明）。

This paper discusses the Noether theorem of complete singular integral equation which containsboth the convolution kernel and the Cauchy kernel, and comes up with the Noether theoremwhich is similar to the Fredholm integral equation, the convolution equation and the singularintegral equation.

本文讨论了既含卷积核又含Cauchy核的完全奇异积分方程的Noether定理，得到了与Fredholm积分方程、卷积型积分方程、奇异积分方程相类似的Noether定理。

We obtain the explicit formulas ofBergman kernel function,Cauchy-Szeg?

得到了它们的Bergman 核函数、Cauchy-Szeg？

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。