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We prove that these and only these groups are 2-Engel groups.
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Exponential lower estimate of the degree of nilpotency of Engel Lie algebras
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In the paper, an analog of the Engel theorem for graded algebras admitting a Lie-type module is proved.
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Of the three widely used methods of visual-observation processing, the method developed at the Engel'gardt Astronomical Observatory provides the highest accuracy of conversion to the hourly rate of meteors.
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The electric field and gas density distributions are determined consistently by renormalizing the values obtained by the Engel-Steenbeck theory.
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| | This paper shows how to apply the GM(1, 1 ) Grey model of Grey System theory to model the Engel's coefficient of Shanghai residents' consumption so as to forecast it in the future. After the forecasting precision of the model is enhanced by well revising the difference between the actual value and the forecasting value, the grey forecast of Engel, s coefficient is made by the revised model. | | 应用灰色系统理论的GM(1,1)建模方法,对上海城市居民消费恩格尔系数进行建模,通过残差修正提高模型的拟合精度,并按修正模型进行了恩格尔系数预测。 | | 文摘来源 | | Based on the analysis of the data reflecting living standard by Engel index in 1980 and 2000 in China, it could be found that the disparities between the realities and that pictured by the index change remarkably. The reasons are discussed. Some problems with Engel index are pointed out. A new index system is introduced, which apprantly has many superiorities. | | 根据我国 1980年和 2 0 0 0年恩格尔系数所反映的各省 (市 )居民生活水平资料 ,发现两个不同时期其真实性有很大差异 .分析了造成这种差别的原因 :(1)职工非现金福利收入的增加 ;(2 )少数职工的非法收入的大量增加 ;(3)居民饮食结构的改变 ;(4 )物价上涨的影响 ;(5 )恩格尔系数本身存在技术问题 ;(6 )抽样调查本身存在问题 .提出用一种“新系数”来衡量城镇居民生活水平 ,其优点是 :(1)不受各地区实际支出 ,即人为控制调节的影响 ;(2 )不需用其他指标作解释 ,直观性强 ;(3)因可以扣除物价因素 ,它不受物价波动的影响 ;4 )调查户填报和计算简易方便 ,可扩大样本调查量 ,提高反映住户总量可靠性 . | | 文摘来源 | | The Engel coefficient of our country,which has close links to the change of factors that influence Engel coefficient,has dropped rapidly in recent years..These factors include such as consumption system,price index,large consumption as durable consumer goods and houses,natural conditions as well as the social characteristics of consumers etc.,among them the disposable income,food price index as well as the price index of education and the medical treatment and health care are to determine and in... | | 近年来我国的恩格尔系数迅速下降,这是与影响恩格尔系数的因素变化紧密联系在一起的,这些因素包括消费制度、价格水平、耐用消费品与住房等大宗消费、自然条件和消费主体的社会特征等;其中可支配收入、食物类价格指数和教育、医疗保健费用价格指数是决定和影响当前我国居民恩格尔系数的最重要的因素。文章运用计量经济模型对这三个因素进行了实证分析,表明我国恩格尔系数的迅速下降在反映人们生活水平的提高上我们应持保留态度。 | | 文摘来源 | |   |
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