查询词典 vector decomposition

This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法，在讨论了矩阵的QR分解方法的基础上，推导得出了矩阵QR分解与广义逆矩阵的关系，得出了可以直接利用QR分解求解矩阵的最小二乘逆，并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式，最后通过重力异常实例进行了计算，得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

The thermodecomposition of Li〓CO〓 charge was experimented and studied in a specially made vacuum furnace. The relationship of decomposition rate with temperature, pressure and time were obtained. The important principle of decomposition rate effected by pressure was acquired and conception of critical decomposition-pressure was presented.

在特制的真空炉内对碳酸锂物料真空分解进行了试验，得到了分解率与温度、压力、时间的关系；得到了分解率受压力影响的重要规律，据此提出了分解临界压力的概念，总结出了分解临界压力与温度的关系。

The photochemical and thermal decomposition of various diphenylamine diazonium salts in ethanol were studied. It was found that, the major products in photochemical decomposition are their corresponding substituted diphenylamino-4-ethyl ethers while their corresponding diphenylamines were obtained as only one product in the case of thermal decomposition.

并研究了二苯胺型重氮盐的光、热分解，结果表明：在醇中，二苯胺型重氮盐的光解主要生成重氮基被乙氧基取代的产物；热解几乎生成唯一的重氮基被氢取代的产物。

Using these diagrams, thermodynamic analysis is carried out to show the effect of technical conditions on soda decomposition of scheelite. It appears that the concentration of has direct effect on soda decomposition of scheelite. When the alkalinity is low, will hydrolyze to , accordingly the decomposition rate of scheelite becomes lower because of the decrease of . So in order to get higher leaching rate in industry practice, it is necessary to use enough amount of soda to serve as digestion reagent and, certain amount of NaOH to maintain high enough alkalinity.

利用这些热力学平衡图对Na2CO3分解白钨矿的工艺条件进行了分析，认为溶液中浓度直接影响白钨矿分解，而当碱度较低时，Na2CO3将水解生成，从而降低浓度，进而降低白钨矿的分解率；故在工业实践中，为使钨最大限度地转入溶液，除了保证足够的Na2CO3用量，还必需添加NaOH以维持一定碱度。

Under the experimental conditions, the evaluation of catalytic activity on direct decomposition of NO show that the presence of Cu is necessary for improving activity at 600~800℃ among La0.9Ce0.1Fe(subscript 0.8-x)Co0.2YO3(Y=Cu, Zn, Ni) series, and in which L.a0.9Ce0.1Fe0.7Co0.2Cu0.1O3 has the highest activity, the conversion of NO decomposition maintains 80% and nearly 100% at 750℃. H2-TPR result proves that the higher activity is related to the mobility of lattice oxygen which is beneficial to the reproduction of active site for NO decomposition.

在实验条件下，对NO的活性测试结果表明，L0.9Ce0.1Fe(下标 0.8-x)Co0.2YO3(Y=Cu， Zn， Ni)系列催化剂在600~800℃范围内，掺杂Cu的复合氧化物具有较高的催化分解活性，其转化率始终保持在80%以上，反应温度为750℃时，几乎100%转化。H2-TPR结果证明，其催化分解活性高的原因是Cu的掺入使晶格氧活动性增强。

The decomposition of ammonium jarosite bearing indium in NaOH medium were studied. The effects of NaOH addition, liquid-solid ratio, decomposition temperature and time on the decomposition ratio of ammonium jarosite were investigated, respectively, and the behavior of impurity elements, such as Zn, In, Cu, Cd, Pb, As, Sb, Sn and Ag in jarosite residues was also discussed.

摘 要：提出NaOH分解含铟铁矾渣新工艺，考察NaOH用量、液固比、温度和时间对铁矾渣分解率的影响，并讨论铁矾渣中杂质金属，如Zn、In、Cu、Cd、Pb、As、Sb、Sn和Ag等在NaOH分解过程中的行为。

For the single objective optimization, the decomposition and coordination method is adopted to build the decomposition and coordination model according to the existing sub-area division conditions of power networks. Then using the Augmented Lagrange method, the minimization problem of decomposition and coordination model can be changed to the saddle point problem of augmented Lagrangian function. Finally, the so called auxiliary problem principle is selected to decompose variables as well as the functions. This transforms the voltage and reactive optimization problem of the wholenetworks to some sub-problems in some sub-areas.

对于单目标无功电压优化，根据实际电网分区情况，采用分解协调法复制各分区的边界节点，建立分解协调模型，采用增广拉格朗日法将求分解协调模型的极小值问题转化为求增广拉格朗日函数的鞍点问题，然后采用辅助问题原理分解变量和增广拉格朗日函数，从而将全网无功电压优化问题分解为多个分区的分布式并行优化问题。

A new type of polar decomposition—weighted polar decomposition of matrices is presented and defined. Aim at this new matrix decomposition, we prove its uniqueness theorem and obtain its uniqueness conditions, and also investigate the best approximation property of weighted unitary polar factor.

矩阵的极分解和广义极分解一直是矩阵分析研究的重要内容，本文中我们对其进行了横向扩展，提出并定义了一种新的极分解形式—矩阵的加权极分解。

Matrix's triangular decomposition is the simplest and most basic kind of decomposition in matrix decomposition .

矩阵的三角分解是矩阵分解中最简单、最基础的一种。

The system of phase equilibrium data of the Fe-Cu base alloy is established relatively, the spinodal decomposition range of the Fe-Cu base alloy is calculated utilizing Thermo-Calc software, The composition range of the spinodal decomposition of the Fe-Cu base alloy is prognosticated with more accuracy; The self-formed mechanism of egg-type microstructure of the Fe-Cu base alloy with spinodal decomposition in the liquid-phase region under gravity conditions is theoretically investigated. Based on the analysis and calculation of interfacial tensile stress induced by the temperature gradient in the process of solidification, the theoretical results interpret preferably the self-formed mechanism of egg-type microstructure of the Fe-Cu base alloy through the analyzing of force states of metallic droplet in the rapid solidification.

建立了较为完整的铁铜基合金系的相平衡数据体系，利用Thermo-Calc软件对铁铜基合金系的液相调幅分解成分范围进行了计算，较准确地对铁铜基合金系的液相调幅分解成分范围进行了预测；从理论上对液相调幅分解型铁铜合金卵型结构的形成机理进行了研究，基于凝固过程中由温度梯度所导致的界面张力的分析与计算，通过考察快速凝固过程中金属液滴受力情况，较好地解释了液相调幅分解型铁铜合金卵型结构的自形成机理。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。