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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 purpose of this series is to make a thermodynamic analysis of the Fe-C system with a minimum of assumptions and to revise the equilibrium diagram of the same system in the light of the results of this investigation. In this paper, the first of the series, activities in liquid Fe-C alloys have been evaluated up to saturation, using Richardson and Dennis' data123 on dilute solutions of carbon in liquid iron and Darken and Smith's model~([1]) for carbon dissolved in austenite with certain modif... | | 作者在本文中综合分析了关於液态铁碳合金中碳活度测定的諸家研究结果並比较其优劣. 然后根据Richardson与Dennis用CO_2/CO平衡法的实验数据,用Darken与Smith的统计模型与最少假定,导出了液态鉄碳合金中α′_c与N′_c的关系(α′_c=logγ′_c,/(N_Fe′)~2,标准状态为石墨),并温度对此关系的影响.计算结果符合於(i)鉄液内石墨溶解度的实验数据;(ii)与用电动势法测定液态铁碳合金中碳活度的实验数据;及(iii)奥氏体、铁液、石墨共晶平衡的要求. 根据本文所导出的α′_c-N′_c曲綫,作者算得石墨在鉄液内的溶解热为3930卡;然后依此及其他必需数据,导出下列关系:C(石墨)=C[%],△F°=3930-9.21T. 最后作者从液态铁碳合金结构的观点讨论了图1中α′_c-N′_c曲綫的形状. | | 文摘来源 | | In order to determine the workability of cast iron with spheroidal graphite,the following tests have been conducted on this material in the as-cast and annealed condition:tensile tests,compression tests,Charpy impact tests,impacttensile tests,twisting tests,upsetting tests under the drop hammer and small-scaledrolling tests.Results from these tests show that the best hot-working temperature rangeof this material varies somewhat with the stress system applied and the speed ofworking,and in general lies... | | 为了确定球墨铸铁的可塑性,曾进行了铸态和铸态经墨化热处理后的球墨铸铁在不同温度下的抗张试验、抗压试验、冲击弯曲试验、冲击抗张试验、撚扭试验、顶锻试验和小型压延试验庑┦匝橹赋?球墨铸铁的最好热加工温度范围随着应力体系和加工速度的不同而略有不同,但一般介于700℃和1100℃之间。在此温度范围内球墨铸铁能够耐受的最大加工量依所受的应力体系而有相当大的差別。在张应力作用下,此最大加工量介于28—57.6%之间,在主要为压应力作用下,介于58.5—72.9%之间;在小型压延试验中,其最大加工量则介于38.6—44.3%之间。最大加工量亦受速度的影响:实验室的试验指出,球墨铸铁在比较低速下加工有较高的塑性。在比较接近生产的条件下的试验结果指出:顶锻试验和小型压延试验给予最靠近生产试验结果的数值。冲击弯曲、冲击抗张、顶锻试验和小型压延试验给予比较明确的最好热加工温度范围,其他试验则不能给予很明确的结果。如果采用了测压仪、小型压延试验,还可以提供变形阻力的资料。试验结果指出:球墨铸铁在压应力作用下比在张应力作用下有较大的强度和塑性;其中温变脆温度依试验速度的变化而在200°—650℃之间变化,根据变形阻力和变脆温度范围的... | | 文摘来源 | | Concluding this series on thermodynamic study of the Fe-C system,the presentpaper deals with an analysis of the metastable iron-cementite equilibrium on thebasis of the activity data derived previously by the author and the free energy ofcementite recalculated by the author in this paper.It has not been possible before to calculate the cementite eutectic temperaturedue to lack of data on activities in the liquid iron-carbon system.With the aid of the results of calculation in a previous paper,th... | | 在本文中,作者首先计算了铁、碳化铁的共晶平衡,得出共晶温度为1148°;这在以前因为缺乏液态铁碳合金内的活度数据是不可能计算的。其次作者综合分析了前人数据,主要根据1148°的介稳共晶温度及723°的介稳共析温度,算出碳化铁的热力学函数。根据这样算出的碳化铁热力学函数及有关热力学数据,作者(i)复核了碳化铁的共析温度及共析点成分;(ii)计算了碳化铁在奥氏体内的溶解度;(iii)计算了碳化铁在铁液内的溶解度及碳化铁液相线与石墨液相线的相交温度。最后,根据本文及稳定平衡部分的计算结果,作者将现行铁碳相图加以修正,俾合于热力学的要求。但关于碳化铁在铁液内溶解度的计算仅属于初步近似性质,有待将来研究。 | | 文摘来源 | |   | | << 更多相关文摘 |
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