查询词典 decomposition operator

Catarium that is naturally decomposed outdoors has an inhibitive effect on cabbage seed germination. While the inhibition effect increases with increase in extract concentration, it, however, decreases with decomposition time. With regards to the length of cabbage root, 0.1 g·mL-l aquatic extract of E. catarium inhibits root growth at every decomposition stage. With the exception of undecomposed E. catarium , other concentration extracts during decomposition enhances root growth. Aquatic extract from E. catarium also enhances cabbage stem growth.

滤纸培养皿试验结果表明：假臭草植株提取液对小白菜种子发芽的抑制作用随浓度增大而增大，且随植株分解时间的延长而逐渐减弱；就幼苗根长而言，不同分解时期0.1 g·mL-l的假臭草提取液对根长均表现为抑制作用，除未分解的假臭草以外，其他时期其他浓度的假臭草提取液对根系生长均有促进作用；假臭草提取液对小白菜茎长总体表现为促进作用。

Firstly, the effects of vibration signal de-noising among Fourier transform, wavelet decomposition and wavelet packet decomposition were compared. Secondly, the singular value decomposition was applied to de noise vibration signals. Finally, a new de noising method integrated with wavelet packet and singular value was put forward.

首先对傅里叶滤波降噪、小波降噪和小波包降噪的效果进行了对比，然后将奇异值分解技术用于信号降噪，最后提出了一种将小波包和奇异值分解相结合的降噪方法。

The maximum rate of decomposition of soil organic carbon insubtropical wetness area is red soil under coniferous and broad-leaved mixed forest＞yellowsoil under grass＞yellow soil under shrub＞yellow soil under broad-leaved forest＞red soilunder camellia oleifera; decomposition rate of yellow soil is faster than red soil. Themaximum rate of decomposition of soil organic carbon in subtropical wetness zone isyellow-brown soil under mixed forest in Nanjing＞red soil under adult fir in Yujiang＞redsoil under broad-leaved forest in Yujiang.

湿润亚热带地区森林土壤有机碳分解速率最大值出现在培养初期的一周内，其顺序：针阔混交林红壤＞茅草黄壤＞灌木林黄壤＞常绿阔叶林黄壤＞油茶红壤，同一植被下黄壤有机碳分解速率大于红壤，南京混交林黄棕壤＞余江杉木(32年)红壤＞余江常绿阔叶林红壤。

The efficiency of double decomposition method is verified by the comparison between double decomposition method and Adomian decomposition method for solving differential equations.

通过具体微分方程算例对双重分解法和Adomian分解法进行了比较，验证了双重分解算法的有效性。

Based upon Adomian decomposition method, we have studied Adomian double decomposition method in this paper. The initial term in Adomian decomposition method has been further decomposed, and modified inverse vector method is obtained.

在求解初边值问题Adomian分解法的基础上，研究了求二维偏微分方程边值问题的双重Adomian分解法，对Adomian分解法的初始项作了进一步分解，使逆算符分解法得到了改进。

In order to construct the spectral decomposition of the Frobenius-Perron operator for a general Chebyshev maps We define a suitable dual pairs or rigged Hilbert space, which provides mathematical meaning for the spectral decomposition.

为了构建广义Chebyshev映射在Frobenius-Perron算子下的一种谱分解。

Special attention should be paid when we apply the decomposition method to two-point boundary value problems, it is necessary to solve a algebraic system;It should be noted that a modification of inverse operator should be made when dealing with singular boundary value problems;Laplace transform and Pade approximants can be coupled to enhance the efficiency of the decomposition method.

比如，在求解两点边值问题时就需要特别注意，这时需要采用待定系数法，最后会涉及到系数方程组的求解；在处理奇异边值问题时需要重新定义逆运算；不少研究人员还把分解方法与Laplace变换和Padé逼近相结合来进一步提高分解方法的精度。

By using the polar decomposition, spectral decomposition, the spectral theory of operators, the intersection of the spectra of operator completions are obtained.

5深刻研究缺项算子矩阵Mx存在逆补的一般性条件，并获得了补矩阵Mx的所有预解集交集的特性。

In order to find a stable approximate solution of linear compact operator equation, the article introduces general theories about ill-posed problems, it bases on spectral theory of self-adjiont compact operators and the singular value decomposition for compact operators, avails singular system to give expression of the solution, and explains ill-posedness of compact operator equation roots in the property that the singular values trends to zero. Thereout, it is provided with theoretic support of building up regularization method by inducting regularization filter to weaken or filtrate the influence that the nature of the singular value being very close to zero has on the solutions stability.

为了得到线性紧算子方程稳定的近似解，介绍了不适定问题正则化的一般理论，以自伴紧算子的谱分析与紧算子奇异值分解为理论基础，利用奇异系给出了解的表达式，说明了紧算子方程不适定性的根源在于紧算子的奇异值趋于零的性质，由此通过引入正则化滤子函数来减弱或滤掉奇异值趋于零的性质对解的稳定性的影响，构造正则算子，从而提供了建立正则化方法的理论依据。

In this paper we introduce some new definitions, they are the generalizations of those concepts in Lie theory, and we discuss initially the elementary properties of operator Lie algebras. Finally, the famous Jordan-Holder theorem and the uniqueness of decomposition theorem of operator Lie algebras are proved.

在这篇文章里，我们将李代数理论中的诸多概念加以推广，并初步地探讨了算子李代数的性质，最后还给出了算子李代数的一个分解定理，其唯一性也得到了证明。

Now he worked in ajoint venture.

现在他在一家合资企业工作。

More troops in Afghanistan won't change any of the foregoing.

更多的在阿富汗的军队也不会改变之前的状况。