查询词典 decomposition

In the one half part, according to the strontium nature, thermodynamic calculation of correlative reaction and the principle of the vacuum aluminothermy reduction process, with the laboratory findings of preparation strontium by vacuum aluminothermy reduction compared and analyzed in different parameter conditions, a variety of factors which effect the decomposition rate of SrCO_3 and the percent reduction of strontia are gotten out. The factors include that the decomposition rate of SrCO_3 is influenced by different addition and pressure. They also include that the percent reduction of strontia is influenced by excess coefficient of reducing agent aluminium powder, the particle size of raw material or reducing agent, the pressure of barbecuing, temperature and reduction time. According to those, we can draw the conclusion as follows:(1) Decomposition temperature of SrCO_3 is decreased by adding carbon and alumina in different degree.(2) With quantitative carbon added under the vacuum condition, the decomposition temperature of SrCO_3 is decreased obviously, which can fall 150℃ compared with atmospheric pressure.(3) In keeping 1150℃ of 2.5h, under the 5Pa vacuum condition, the decomposition rate of SrCO_3 nearly keeps in 99% steadily.

在前半部分的真空铝热还原法中，根据锶的性质、相关反应的热力学计算及真空铝热还原法原理，通过对不同参数条件下的真空铝热还原法生产金属锶的实验结果的分析比较，得出了影响SrCO_3的分解率和氧化锶的还原率的种种因素，具体因素包括不同添加剂、不同气压对SrCO_3分解率的影响，还原剂铝粉的过量系数、原料与还原剂的粒度、制团压力、温度和还原时间等对氧化锶还原率的影响，得出具体结论如下：(1)添加碳和Al_2O_3能不同程度的降低SrCO_3的分解温度；(2)真空条件下加入一定量的碳可显著降低SrCO_3的分解温度，比之常压下可降低150℃之多；(3)在1150℃恒温2.5h、真空度达到5Pa的条件下，SrCO_3的分解率几乎保持稳定在99％；(4)氧化锶的还原率随还原剂过量系数的增大而增大，但是趋势越来越小，当过量系数超过25％后，氧化锶的还原率几乎不再增加；(5)氧化锶的还原率随原料与还原剂的粒度的变细而增加；(6)氧化锶的还原率随制团压力的增加而增加，但超过一定值后，氧化锶的还原率反而会下降；(7)氧化锶的还原率随还原温度的升高而增加；(8)氧化锶的还原率随还原时间延长而增加，在本实验条件下，超过2.5h趋于稳定。

Based on a formal analysis of lifting decomposition, the hierarchical structure concept of the decomposition set, as well as the lifting decomposition technique of the polyphase matrix' greatest mth-order common divisor, is proposed to conquer the difficulties in the practical computation of and the optimal search in the huge decomposition set.

本文在形式化分析Lifting分解原理的基础上，提出了分解集合的分级结构概念以及多相矩阵的m阶最大公因子Lifling分解技术，克服了分解集合求解问题的高复杂性所带来的实际计算与搜索困难；进一步地，从数值稳定性及计算代价两方面研究了分解的评价问题，设计出两种实用的分解稳定性准则；最后，结合分级结构技术提出一种最优分解算法。

The results show that the decalescence of catalyst bed affects the process of hydrogen peroxide catalytic decomposition greatly. If the catalyst bed is preheated or made up of materials with low thermal conductivity, that influence can be depressed. At the same time, the response characteristic of catalyst bed and the efficiency of catalytic decomposition can be improved. The low frequency pressure instability of catalyst bed occurs because of the coupling of catalytic decomposition and supplying. The decomposition plane pushes all the way through the catalyst bed during pressure oscillations, causing unreacted liquid hydrogen peroxide to be exhausted from the bed and leading to the appearance of liquid hydrogen peroxide channeling. Consequently, how to prevent or at least limit this channeling is the key to eliminate the pressure instability of catalyst bed. It was found that adding clapboard to the catalyst bed can depress the pressure instability efficiently.

结果表明催化剂床及催化剂的吸热对过氧化氢分解过程影响很大，对催化剂床进行预热或采用热导率低的材料制造催化剂床等措施，可以降低催化剂床壁面吸热对催化分解过程的影响，提高催化剂床的响应特性和催化分解效率；催化剂床的低频不稳定是催化分解过程与供应系统耦合产生的，催化剂床气体界面的波动过程中，液体过氧化氢穿透催化剂床形成过氧化氢液体通道，过氧化氢液体通道的产生和扩大是催化剂床不稳定的主要原因，也是消除催化剂床不稳定的关键，试验中在催化剂床内加入分流板成功地抑制了催化剂床的低频不稳定。

Simulation results show that the proposed algorithm has a faster convergence rate and much less computational complexity, and the output bit error rate and signal-to interference-plus noise ratio performance are superier to the PASTd blind multiuser detection algorithm and close in on the singular value decomposition group blind multiuser detection algorithm.

仿真结果表明，所提算法收敛速度快，输出信干噪比和误码率性能优于PASTd盲多用户检测，逼近奇异值分解(singular value decomposition， SVD)群盲多用户检测，并保持了较低的计算复杂度。

On the basis of Venigalla\'s work,we adopted two path-based algorithms, namely,gradient projection algorithm and disaggregated simplicial decomposition algorithm to solve nonadditive path cost traffic assignment problem under different engine operating modes.We compared the above two algorithms in a network example which showed that compared with the traditional Frank-Wolfe algorithm, the two path-based algorithms had a more quicker convergency while getting optimal solution,and it can obtain a satisfying solution in most cases.

2在Venigalla等人研究工作的基础上，分别采用基于路径的梯度投影算法(gradient projection，GP)和基于路径的非集计的单纯分解算法(disaggregated simplicial decomposition，DSD)来求解考虑不同发动机启动模式下，具有非可加路径费用的交通分配问题，在实例计算中比较了这两种算法的计算性能。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

The solvable Lie algebra is corresponding to a cascade decomposition of the system and the semisimple Lie algebra is corresponding to a qasi-parallel decomposition such that the system has a parallel form of a cascade decomposition and a qasi-parallel decomposition.

任一李代数都可分解为一可解李代数与一半单李代数的半直和，可解李代数对应于系统的级联分解，半单李代数对应的是系统的准平行分解，将二者合并起来，就得到一般李群下的非线性系统的结构分解，这是一级联形式与一准平行形式的并联形式分解。

In this article, several common matrix decomposition theory and its applications was put forward, such as triangular decomposition, QR decomposition, the full rank decomposition, SVD and so on.

本文给出了几种较常见的矩阵分解理论及其应用。如三角分解，QR分解，满秩分解，奇异值分解等。

In the last two chapters, this thesis first develops two quaternion-based color image filtering methods that are based on the quaternion rotation theory and quaternion unit transform, respectively, then analyzes the fulfillment algorithm of the QSVD (Quaternion Singular Value Decomposition) and its applications to color image processing, and expands the real number-valued PCA to quaternion-valued PCA.

在论文的最后二章，通过利用四元数旋转和色调抵消机制以及四元数单位变换来表达二个彩色像素的色调差异，提出了二个基于四元数理论的彩色图像滤波的新方法；并分析了四元数奇异值分解QSVD (Quaternion Singular Value Decomposition)的实现算法及其在彩色图像处理中的应用；同时将实数域上的主成份分析扩展到四元数域，形成了四元数版本的主成份分析QPCA (Quaternion Principal Component Analysis)。

A low complexity detection scheme for the MIMO system with distributed transmit antennas is presented. Based on a Sorted CHolesky Decomposition, the additive gaussian color noise after match filter is whitened; The detection sequence according to the post signal noise ratio is reordered, and the risk of error propagation is degraded. The whole algorithm only requires one matrix inverse.

摘要针对发射天线分布的MIMO信号，基于排序的乔列斯基分解过程(Sorted CHolesky Decomposition，SCHD)，将匹配滤波后的加性高斯色噪声转化成加性高斯白噪声，根据后验信噪比对发射信号检测顺序进行重排，降低了误差传播的影响，该算法仅需一次矩阵求逆操作。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。