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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.


We apply these results to intersection theory on varieties with group actions, especially to Schubert calculus and its generalizations.


A basis is calledmonomial if each of its elements is the result of applying to a (fixed) highest weight vector a monomial in the Chevalley basis elementsYα, α a simple root, in the opposite Borel subalgebra.


Letu be a compact Lie algebra and letu be its complexification.


We classify all instances when a parabolic subgroupP ofG acts on its unipotent radicalPu, or onpu, the Lie algebra ofPu, with only a finite number of orbits.

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 In ordinary sampleddata control systems the system response to a step input can reach its equilibrium state only within n or more sampling intervals (n is the order of the controlled plant). In this paper multipleimpulses are used, instead of ordinary simple impulses, to speed up the system response. In such sampled data systems the system response to step input can reach its equilibrium state within less than n, even one, sampling intervals. Methods of design of such kind of sampleddata systems... In ordinary sampleddata control systems the system response to a step input can reach its equilibrium state only within n or more sampling intervals (n is the order of the controlled plant). In this paper multipleimpulses are used, instead of ordinary simple impulses, to speed up the system response. In such sampled data systems the system response to step input can reach its equilibrium state within less than n, even one, sampling intervals. Methods of design of such kind of sampleddata systems and their components are discussed. In the last part of the paper methods of compensating sampled data systems with dead time elements is also considered.  在通常的脉冲控制系统中,当输入信号是阶跃函数时,系统的过渡过程至少在n个采样周期内才能完全结束(n是控制对象的阶数).文中考虑了采用宽度不等的多拍脉冲代替通常的单拍脉冲以加快系统的过渡过程.在采用多拍脉冲以后,系统的过渡过程可以在少于n个采样周期内,甚至在一个采样周期内完全结束.文中叙述了这种脉冲系统的综合方法,也讨论了系统中有关组成部分——脉冲组成器和校正装置——的构成方案及其参数的计算方法.最后并考虑了由于时滞引起的对系统动态特性有害影响的补偿问题.文中举有例题,对文中各节内容作必要的说明.  This paper presents an investigation of the"Automatic Operator" of Diesel Locomotive based on the principle of compound programming control. According to the surrounding conditions of locomotive, the"Automatic Operator"can change its structure automatically in order to obtain better quality of control.In this paper, the principle scheme, the characteristics of"Automatic Operator" and the experimental results of automatic control of Diesel locomotive with "Automatic Operator"are presented, the principle... This paper presents an investigation of the"Automatic Operator" of Diesel Locomotive based on the principle of compound programming control. According to the surrounding conditions of locomotive, the"Automatic Operator"can change its structure automatically in order to obtain better quality of control.In this paper, the principle scheme, the characteristics of"Automatic Operator" and the experimental results of automatic control of Diesel locomotive with "Automatic Operator"are presented, the principle and the design of logical circuit for changing the characteristics of"Automatic Operator"is emphasized. The latter part of the paper includes a discussion of quality of control; and finally, formulas for determining the parameters of the control system are derived.  文内介绍了采用复合控制原理和根据机车所处客观条件自动切换系统结构的内燃机车程序控制方案,介绍了按此方案制成的(自动司机)总体线路及其性能.介绍了利用这台控制机进行内燃机车自动驾驶的全面试验结果.文中着重讨论了自动切换系统结构的逻辑装置的设计计算.给出了综合这类系统参数的计算公式.此外,对系统的控制质量进行了详细讨论.  A right hallow circular cylinder of quartz having its generator parallel to the principal axis liberates electricity when subjected to torsion about its axis. Charges of opposite signs appear on the inner and outer surfaces. When torsion is applied in the same sense as that of the optical rotation, positive electricity is developed on the outer surface, and vice versa. The quantity of electricity produced by the action of a couple of moment C on a hollow quartz cylinder of external diameter d0, internal... A right hallow circular cylinder of quartz having its generator parallel to the principal axis liberates electricity when subjected to torsion about its axis. Charges of opposite signs appear on the inner and outer surfaces. When torsion is applied in the same sense as that of the optical rotation, positive electricity is developed on the outer surface, and vice versa. The quantity of electricity produced by the action of a couple of moment C on a hollow quartz cylinder of external diameter d0, internal diameter di and length l is klC/do dodi), where k is equal to 9.2x108 in absolute C. G. S. electrostatic units.  割水晶成一圆柱,圆柱之轴即为晶体之光轴,在圆柱之中心穿一孔道,使成一空心圆柱壳,以金属箔敷於圆柱壳内外侧面成两电极。当圆柱之一端固定,一端被扭,则两电极发生异号而等量之电荷,扭转之方向既易,内外两极电荷之号亦互易。若扭力偶矩左旋,则左旋水晶柱之外极得正电;若扭力偶矩右旋则右旋水晶柱之外极得正电。 吾人曾由实验测定水晶圆柱之长短l,内外直径d_i及d_0之大小,与由扭偶矩C所生电量q之关系式如次: q=k(l/(d_0(d_0d_i)))C式中K为一常数,在C.G.S.绝对静电单位制中等於9.2×10~(8)。   << 更多相关文摘 
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