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A root decomposition is constructed of the simple eightdimensional ternary Malcev algebra M8.


Root Decomposition of the Ternary Malcev Algebra M8


Necessary and sufficient controllability conditions for Lie groups not coinciding with their derived subgroup are obtained in terms of the root decomposition corresponding to the adjoint operator adB.


Necessary and sufficient controllability conditions for Lie groups not coinciding with their derived subgroup are obtained in terms of the root decomposition corresponding to the adjoint operator ad B.


Properties of the root decomposition of a semisimple Lie algebra over an algebraically nonclosed field

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 This paper proposes a kind of pratical formulas and program composition of the compress store reduction algorithm to solve symmetric abnormal bandcoupled equations. The computation accuracy of the algorithm is higher than generalized square root decomposition method. It approaches the application of compress store reduction algorithm to the adjustment of observation equations for leveling network. Taking advantage of the abnormal band sparse symmetric feature of this normal equation system matrix, the... This paper proposes a kind of pratical formulas and program composition of the compress store reduction algorithm to solve symmetric abnormal bandcoupled equations. The computation accuracy of the algorithm is higher than generalized square root decomposition method. It approaches the application of compress store reduction algorithm to the adjustment of observation equations for leveling network. Taking advantage of the abnormal band sparse symmetric feature of this normal equation system matrix, the algorithm can reduce n×n stored elements to 5n10n so that can greatly save storage number and computation time.  本文提出了压缩存储约化法求解对称变带宽方程组的一种实用计算公式和程序编制,探讨了压缩存储约化法在水准网间接平差中的应用。利用法方程系数阵的变带宽稀疏对称性,可使元素存入量由原来的n×n减少到5n～10n,大大节省了存储量和计算时间。  The productivity and allocation of nutrient elements and the biological nutrient cycling in two typical grasslands in the Xilin River Valley, Inner Mongolia were studied. Results obtained showed that the aboveground biomass was about 210 g·m~(2) in Aneurolepidium chinense steppe (A. C. S.) and around 140—17 g·m~(2) in Stipa grandis steppe (S. G. S.). The underground biomass was 2837 g·m~(2) in A. C. S. and 1596 g·m~(2) in S. G. S (0—100cm) in 1985, and 1627 and 870 g·m~(2) (0—70cm) in 1986, respectively.... The productivity and allocation of nutrient elements and the biological nutrient cycling in two typical grasslands in the Xilin River Valley, Inner Mongolia were studied. Results obtained showed that the aboveground biomass was about 210 g·m~(2) in Aneurolepidium chinense steppe (A. C. S.) and around 140—17 g·m~(2) in Stipa grandis steppe (S. G. S.). The underground biomass was 2837 g·m~(2) in A. C. S. and 1596 g·m~(2) in S. G. S (0—100cm) in 1985, and 1627 and 870 g·m~(2) (0—70cm) in 1986, respectively. The Root/Shoot ratio varied from one grassland type to another and from year to year being in the range of 5—12. The soilvegetation components of the grassland were divided into six compartments: the soil, the liveing shoot, the standing dead, the litter, the liveing root and the dead root compartment. It was found that the largest amount of nutrient elements existed in the soil compartments.In 1985, only 3.74% of the N and 8.89% of the C in A. C. S., and 5.78% of the N and 13.9% of the C in S. G. S. were found in the organosyste ns, 99% of the P, K, Ca and Mg were found in the soil compartments. And the largest amount of the nutrients in the organosystems were found in the underground plant compartments. The compartments of litter and the standing dead had the least amount of nutrient elements stored. The order of nutrient element contents in the grassland ecosystems was as follows: K>C>Ca>Mg>N>P in A.C.S. and Ca>K>C>Mg>N>P in S. G. S. The amount of litter formed from 1985—1986 was 234.6 g·m~(2) in A. C. S. and 88.4g·m~(2) in S. G. S.. The amount of litter disappeared in the same period was 219.6 g·m~(2) and 91.1 g·m~(2) respectively. By assuming that 30% of the root biomass was dead root and that the turnover rate was 0.55 in A. C. S. and 0.49 in S. G. S., it is concluded that the amount of root died in the year was 1712 g·m~(2) and the root decomposition rate was 0.00355 g·g~(1) day~(1) in A. C. S.. In S. G. S., those figures were 920 g·m~(2) and 0.00365g·g~(1)·day~(1) respectively. Finally, the cycling diagrams of the nutrient elements were given. Amount of N minerali zed in A. C. S. was 316 kg·ha~(1)·yr~(1), in which only 7.6% was released by the aboveground litter; it was 178 kg·ha~(1)·yr~(1) in S. G. S., in which only 3.9% was released by the aboveground litter. Amount of P mineralized was 12.3kg·ha~(1)·yr~(1) in A. G. S. and 6.74 kg·ha~(1)yr~(1) in S.G.S., in which only 8.9% and 4.7% were released by the aboveground litter, respectively. It was the root system that acted dominantly in the uptake and release of nutrient elements. The Release/Uptake ratios of nutrients were larger than one, which indicates that the uptake of nutrients from soil was less than the release of nutrients to soil by the organosystems in the year.  本文研究了内蒙古锡林河流域两种典型草原的生产力、营养元素在生态系统中的分配及其循环。研究表明,除C和N在植物组分中贮量稍高以外,P、K、Ca和Mg的99%以上存于土壤分室中。而植物组分中的营养元素则主要贮存于根系之中。1985年至198(?)年,羊草草原地上凋落物的形成量为234克·米~(2),大针茅草原为88.4克·米~(2);同期凋落物的消失量分别为219.6和91.1克·米~(2);从活根向死根生物量的年转移量分别为1712和920克·米~(2);根系的降解速率分别为0.00355和0.00365克·克~(1)·天~(1)。文中给出了诸元素在生态系统中的循环图,讨论了两类草原生态系统中元素循环的特点。  This paper points out that the traditional compatibility check method for flight test data, developed early in 1970's and thereafter be used widely,has some disadvantages and limitations, and gives a new methodthreestep method,which overcomes the drawbacks existed in traditional method and makes the whole procedure very simple. At the same time,an algorithm to make the estimated parameters controllable is presented to improve the robustness of parameter estimation. Numerical stable Carlson SquareRoot decomposition... This paper points out that the traditional compatibility check method for flight test data, developed early in 1970's and thereafter be used widely,has some disadvantages and limitations, and gives a new methodthreestep method,which overcomes the drawbacks existed in traditional method and makes the whole procedure very simple. At the same time,an algorithm to make the estimated parameters controllable is presented to improve the robustness of parameter estimation. Numerical stable Carlson SquareRoot decomposition filter is used to estimate the state and parameters simultaniously. Calculation example indicates that the new threestep method and the algorithm te improve robustness of estimated parameters is valid,especially suited for processing measured flight test data.  本文指出了1977年Klein首先建立后被各国所广泛采用的相容性检验数学模型存在的局限性,详细地分析了其在飞行实测数据应用中的缺点及其不适用性。给出了新的飞行数据鲁棒相容性检验三步法,采用数值稳定的快速三角化平方根分解滤波算法进行参数估计,仿真及实际应用证实了本文方法的有效性。   << 更多相关文摘 
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