查询词典 kernel of integral operator

Multiple integrals generalizing the iterated kernels of integral operators are expressed as single integrals in the case of a special representation of the kernel.

下面是我自己翻译的第一段和第二段的部分，翻译不行的话，顺便帮忙修饰下，先谢谢啦上面麻烦大家翻译的这几段都是关于数学方面的的

The method is to add a term into the original singular kernel while it subtracts its analytical solution from the original equation. Since the singularity of Green's function can be eliminated by such a mathematical technique, shape function does not need to be supposed while solving the unknown. The calculation can be directly applied to the real shape of the object by taking the integral points distributed on the object as nodes that satisfy boundary conditions.

由於格林函数的奇异性经过数学上的技巧加以消除，因此当求解未知数时已经不需要再假设形状函数，即可直接使用物体真实的外型来做计算，也就是直接将物体上分布的积分点视为满足边界条件的节点。

We all know that mother wavelet function can create waveletframe, and the kernel function with wavelet frame can build a group of basis insquare integral space only by translation.

由于母小波函数可以生成小波框架，我们用小波框架来构造核函数，而采用该核函数的SVM，能够逼近平方可积空间中的任意函数。

The article analyzed the whole work from the viewpoint of pitch structure, and point out the basic pitch structure was a nucleus serial, and the basic method to form the work was partitions of the nucleus serial. It showed the work logic relationship from kernel to extension, from part to whole, and from harmony to the integral structure.

文章从音高结构的角度来审视和分析全曲，指出了构成作品的基本音高组织是&核心序列&；构成作品的基本方式是&核心序列&的&分割&，从而揭示了这首作品从内核到外延，从局部到整体，从和声到整体结构的逻辑关系。

A modified mutation operator in BCA, Contiguous Region Hypermutation Operator, was introduced; a Markov chain model of the BCA was proposed; a novel method for the construction of transition matrices for the BCA was given. Consequently, it was proved that the BCA was convergent absolutely.

给出了在BCA中使用的一种变异算子－连续区域超体变异算子和BCA的Markov链模型，提出了一个新的构造算法的状态跃迁矩阵的方法，证明了BCA的绝对收敛性。

In the same time,from the view point of abstract algebra,the homomorphism between disturbing fuzzy logic operator group and class fuzzy logic operator group is studied.

从而使经典模糊逻辑的概念及性质得到进一步的推广，同时也揭示了在这种由一维到二维的推广中存在的问题。

It includes as follows:(1) That the right acceptance probability to decide the initial value temperature should be 0.6 are presented by experiment. For the first time, crossover and mutation operator are used in populations to calculate the initial value of temperature. At least the initial value of temperature is 〓.(2) Replacing random change operator with crossover and mutation operators.

2使用遗传算法中交配与突变代替模拟退火算法中随机扰动操作，对两种操作方法进行定性分析，得到突变和交配操作与随机扰动方法在本质上的一致性；同时首次提出在不同温度条件下，使用不同的比例因子，控制参与交配与突变的基因位数，实现了二次使用模拟退火算法的过程。

At present, two of the most common aggregation approaches are the additive weighted averaging operator and the ordered weighted averaging operator.

本文针对上述两方面工作进行了研究，重点研究了权重的确定问题。

By using the relations between the elements in the linguistic evaluation scale and their indexes, and the additive weighted mean operator and the hybrid aggregation operator, a method based on the term indices for group decision making p...

利用语言评估标度中术语与其指标之间的关系，以及加权算术平均算子和混合集结算子，提出一种基于术语指标的多属性群决策方法。

In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems.

对于 n阶一般的非线性动力系统，根据线性算子的不变子空间理论和共轭算子概念，提出一种计算其规范形的新的矩阵表示方法。

Tom: You are right, he worked hard all the time.

你是对的。他一直都是努力工作。

Take shortcomings,failures,and mockings of others as commonplace and a drive to complete oneself,hold your own opinion over the evalution and disscution divested from others,afterwards sink into the state of eliminate mistakes if any or encourge oneself being not being influenced by the sayinngs of others or having no ideas to do.

把缺点、失败及别人的耻笑等看成是一种常事，当成完善自己的动力，对别人的评价和议论自己心中有主见，做到&有则改之，无则加勉&，不为人言所左右或无所适从。