查询词典 kernel of integral operator

The kernel of this paper is to derive out the quantized operator of kinetic energy of thecollective motion of octupole deformed system.

本文的重点工作是研究八极形变内禀系的定义和导出量子化的八极矩动能表式。

The following results are presented: By the property of mean value of the holomorphic functions and the property of the reproducing kernel k_ω, we get the rank one operator k_ω?

首先，利用正规化再生核K_w的特殊性和解析函数的平均值性质，建立了秩为一的算子K_wK_w与Toeplitz算子之间的联系，把算子K_w？

In the algorithm, each point is shifted using a filtering operator based onmean shift scheme to the localmaximum of kernel density function to suppress noises and remove the outliers.

用基于均值漂移的滤波算子，把每个采样点移动到核密度函数的局部最大值的点，以限制噪声并剔除离群点。

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。

In the single and double integral terms of Green function, the kernel function of wave-making resistance expression, Special function expansion method and Chebyshev polynomial approach method have been adopted respectively, which greatly increase the calculation speed.

对作为兴波阻力计算核函数的Green函数的单、双积分项分别采用特殊函数展开、切比雪夫多项式逼近的方法进行计算，提高了计算速度。

The paper simply introduced the basic principle of surface nuclear magnetic resonance and computed the numerical integral of nuclear magnetic resonance kernel function which contained double Bessel functions using the method of Gauss quadrature and continued fraction expansion, and then discussed influence of conductivity to nuclear magnetic resonance′s signal.

简要介绍了地面核磁共振找水的正演理论方法，采用高斯求积并结合连分式展开的方法对核磁共振核函数中包含双重贝塞尔函数的积分核进行了数值积分，进而计算出精度较高的核函数值，在此基础之上，讨论了导电性对地面核磁共振信号的影响。

To extend this idea to the computation of the measure of fractal sets built on the real axis, it can be seen immediately that the fractional integral (1) does not work as it fails to be additive because of its non-trivial kernel.

延长 这一想法，以计算该措施的分形集的建立在实轴上，可以看到马上说，分数次积分（ 1 ）是行不通的，因为它未能被添加剂的，因为它不平凡的内核。

The general Fredholm integral equation of the first kind with logarithmic kernel in 2 dimensions does not always have unique solution, especially for the unbounded problem, it depends on the asymptotic behaviour at infinity.

对二维问题，一般的带对数积分核第一类Fredholm 积分方程并不总是唯一可解的，特别是对外边值问题，解在无穷远处的形态有很大的影响。

On this base,we discuss a class of singular integral equation with Hilbert kernel having solutions with singularity of order one, the solvable conditions for general equation are given and solutions for responding characteristic eq...

在以上工作的基础之上，我们提出了一类不同于文献[13]的解具一阶奇性的Hilbert核奇异积分方程，给出了完全方程的Noether定理和特征方程的解和可解条件。

What was it that made you want to change sider ?

是什么使你临阵倒戈？

I don't know what he wants, but let's play along with him.

我不知道他要干什么，可我