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cartan decomposition的中文,翻译,解释,例句

cartan decomposition

cartan decomposition的基本解释
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嘉当分解

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Theorem C: The commutator algebra of so *(2 n ) is its own, and the commutator algebra ofand the commutator algebra of Theorem D: The Cartan subalgebra ofand the Cartan subalgebra of Theorem E: The structural formula of

定理C so *(2 n )的换位子代数就是其本身, g *(2 n, S , C )的换位子代数为g *(2 n + 1, S , C)的换位子代数为定理D so *(2 n )和g *(2 n , S , C )的Cartan子代数是定理E so *(2 n )和g * m, S ,(来源:AB78C论文网www.abclunwen.comC 的结构公式都是来源:A6bBCe9论文网www.abclunwen.com

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。

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cartan decomposition:嘉当分解

carry signal 进位信号 | cartan decomposition 嘉当分解 | cartan formula 嘉当公式