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Note that regularized problems are usually defined in an infinite setting and have to be discTetized for an implementation and there have been many comparatively adult methods of calculating singular system. Therefore, there is no need to avoid the calculation of singular system in inverse problems calculating of numeric value. Here TSVD Regularization Method is very simple and quite effective one.

考虑到反问题的数值计算需要将问题离散化,化为有限维的问题来进行处理,而对于有限维算子的奇异系的计算已经有了相当成熟的各种算法,因此在反问题的数值计算中没有必要避开奇异系的计算,此时TSVD正则化方法是十分简单并相当有效的正则化方法。

In the study based on noise-distribution, an approach to compute local regularization parameter and design local regularization operator adaptively is proposed according to the distribution of the noise.

在基于噪声分布的方法中,提出根据噪声分布自适应计算正则化参数及设计正则化算子的方法。

Finally, the physical index and compression index of silty soil from Yangtze Basf project are divided to three groups according to depth, then characteristic statistic are calculated to physical and compression index of three groups and mechanical index of all depths. After that, normal distribution 、 logarithmic normal distribution and extreme I distribution are fitted for physical and mechanical indexes. And Goodness-of-fit testing with X~2 method is done subsequently.

最后,将扬子巴斯夫工程粉质粘土的物理指标和压缩性指标按照埋深分为三组,计算了不同深度上粉质粘土的物理指标和压缩性指标以及所有深度上抗剪强度指标的特征统计量;然后用正态分布、对数正态分布和极值I型分布对各指标进行概率模型拟合并用x~2法对拟合优度进行了检验。

To solve the problem numerically, a mollification method is considered. Error estimate between the exact solution and its approximation is given.

作者在文章中提出了一类正则化方法,通过巧妙地选取适当的参数及相应高斯核正则化子来构造逼近解,并给出了逼近解的近似程度估计。

The common method of finding normal coordinate for the multidimensional linear microvibration;2. Then,it introduces the normal coordinate and its operator.

文章首先通过研究做简谐振动的简谐振子提出了量子化模型,然后引入简正坐标,使其简正坐标算符化,最后得到晶格振动的量子化。

In this paper, some decision theorems are suggested about the matrix orthogonal problem on the subspace of the finite dimensional Euclidan subspace. In addition, some concise results are obtained by matrix representation of the orthogonal complement and injection of vectors on the subspace.

利用向量组的Gram矩阵和向量的坐标矩阵对有限维欧氏空间中子空间的正交性给出了矩阵判定条件,对子空间的正交补及向量在子空间上的内射影给出了矩阵表示,获得了一些简捷有用的结果。

CHANCE WIND: A pung of the Chance Wind, awarded 1 fan.

正风:以正风牌组成的刻子,得1番。

CHANCE ROUND: A pung of the Chance Round, awarded 1 fan.

正圈:以正圈牌组成的刻子,得1番。

This paper provided a regularizing operator referring to the inversion method of math to the ill-posed problem and Hirleman"s theory. It is proved the inversion of Mie" theory can get a more accurate resolution by the regularizing idea.As to a laser light sizer, this paper discussed the measurement range and tried to get the judge index of the range of it.

对于采用Mie理论为基础的激光粒度仪的反演过程,使用构造正则算子θ-2提高反演精度,通过模拟证实利用正则化的思想可以明显提高Chahine叠代独立模式粒度反演的容差限。

In chapter 2,We first introduce the application of renormalization group methodto the Rayleigh equation.Then we consider the over-damped linear oscillator.

在本文第二章,我们首先介绍重正化群方法在Rayleigh方程中的应用,然后介绍重正化群方法在过阻尼线性振子中的应用。

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However, as the name(read-only memory)implies, CD disks cannot be written onorchanged in any way.

然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

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A single payment file can be uploaded from an ERP system to effect all pan-China RMB payments and overseas payments in all currencies.

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