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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
This implies that a system is algebraically integrable (i.e., its eigenvalue problem is explicitly solvable in quadratures) if and only if the differential Galois group is commutative for generic eigenvalues.
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We apply this criterion of algebraic integrability to two examples: finite-zone potentials and the elliptic Calogero-Moser system.
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In the second example, we obtain a proof of the Chalyh-Veselov conjecture that the Calogero-Moser system with integer parameter is algebraically integrable, using the results of Felder and Varchenko.
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The least upper bound for the degrees of elements in a system of generators turns out to be independent of the number of vector variables.
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We consider 3-parametric polynomialsPμ*(x; q, t, s) which replace theAn-series interpolation Macdonald polynomialsPμ*(x; q, t) for theBCn-type root system.
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| | The simplified Coal characteristic Coefficient β' = 2.35, as proposed in author's two previous papers to ho used with Vr for coal classification, has been for the first time repeatedly proved as shown in many graphs (Fig. 2-Fig 9) to represent (a) the foundamental characteristics of coal, like caking property, heating value, plastic layer thickness. etc. (b) the quality of the side Chain of the coal crystal (c) the percentage proportion of vitrain composition with respect to the other constitutents in petro... | | (1)简化特性系数β’=2.35代表着煤的分子结构中侧链的本质,而纯燃质挥发分 VP代表着煤的原始物质中侧链与核心部分的相对数量. (2)简化特性系β',即自由氢碳比率函数,是煤岩成分比例不同的标志;角质类和不透明质与透明基质数量的相对比例的标志;是镜煤质与非镜煤质含量相对数值比例的标志,亦即是镜煤化程度的标志。 (3)简化特性系β'反映了煤的特性,焦油产率,炼焦性质,胶层厚度,发热量及碳含量,氢含量,氧含量等,并有充分的证明。 (4)简化特性系β’揭露了近百年来国际间对於煤的特性的秘密,而是国际上有最完善的理论根据的分类指标。 (5)因此,作者建议(a)用VP及β’来作为中国煤工艺技术分类指标(6)用VP,β'与y作为国际煤分类指标,其中 厚度y,根据作者的见解,代表着煤在碳化过程中,凝 化的速度的标志。 | | 文摘来源 | | In the reference [5], the author has suggested a method of vectorial graphicalcomputation of the undamped forced vibration of the system with one degreeof freedom. In this paper, the method has been extended to the case of thedamped forced vibration. It is known that analytic method is very complicated,troublesome and even not applicable, when the dynamical load P(t), as a func-tion of time t, is of irregular, or sometimes of discontinuous character. But thevectorial graphical method may be used with ... | | 在参考文献[5]中,作者曾提出单自由度系统无阻尼强迫振动的矢量图解计算方法,本文将这方法进一步推广,应用到单自由度系统阻尼强迫振动。如所周知,当作用扰力随时间变化的图形为任意不规则甚且是断续的情况时,解析方法十分繁琐、累赘、甚至不再适用;这时,矢量图解计算方法并不受到限制并显示出它的优越性。 按照矢量图解计算的程序,进行近似的数值解算,也是可行的。 参照矢量图解计算方法的原理,本文导演出单自由度系统阻尼强迫振动一般性解答的一种表示式。当作用扰力函数以多项式形式给定时,用本文给出的表示式求解动力偏移函数,比较用现有一般解析方法要简捷一些。 本文对于矢量图解计算的具体程序列举了算例;对于本文给出的一般性解答的应用,也列举了算例。 | | 文摘来源 | | In this paper, a survey is made over the existing theories of seismic forces onstructures. It is found that all the theories fall into one of the following cate-gories: 1) the so-called "statical theory" which considers the structure subject toan equivalent constant acceleration; 2) theories based upon simulated simplified ground motions; 3) theories based upon recorded actual ground motions; 4) theories based upon random impulses. Critical comments have been given to the above theories, especially to thefo... | | 本文回顾了关于建筑物地震力的理论的发展过程,对于现行的几种理论进行了评论;认为在我国目前条件之下,可以采用一种基于动力原则的地震力系数;最后对今后的研究方向提供了一些意见。 | | 文摘来源 | |   | | << 更多相关文摘 |
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