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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.
      
As an application of the results we prove a generalization of Chevalley's restriction theorem for the classical Lie algebras.
      
We apply these results to intersection theory on varieties with group actions, especially to Schubert calculus and its generalizations.
      
In this paper, we prove three types of rigidity results related to CAT(-1) spaces, namely the rigidity of the isometric actions on CAT(-1) spaces under the commensurability subgroups, the higher rank lattices and certain ergodic cocycles.
      
This extends the results and simplifies the proof for the classical orbit structure description of [10] and [11], which applies whenF=Z.
      
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They result in many nontrivial properties of quantum immanants.
      
We prove the following result: LetG be a finite irreducible linear group.
      
The proof is an application of a recent result by W.
      
We prove as the main result thatM is weakly symmetric with respect toG1 and complex conjugation.
      
As a result, this provides new examples of weakly symmetric spaces that are nonsymmetric, including those already discovered by Selberg (cf.
      
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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.
      
The result generalizes and implies the classical "branching rules" that describe the restriction of an irreducible representation of the symmetric groupSn toSn-1.
      
Implementing this point of view, Poisson Summation Formulas are proved in several spaces including integrable functions of bounded variation (where the result is known) and elements of mixed norm spaces.
      
We use interpolation methods to prove a new version of the limiting case of the Sobolev embedding theorem, which includes the result of Hansson and Brezis-Wainger for Wnk/k as a special case.
      
The weighted inequalities allow us to transfer the result to the ergodic case, when the operator is induced by a mean bounded, invertible, positive groups.
      
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In the case of 4-dimensional anticommutative algebras a construction is given that links the associated cubic surface and the 27 lines on it with the structure of subalgebras of the algebra.
      
Such an action is called linearizable if it is equivalent to the restriction of a linear orthogonal action in the ambient affine space of the quadric.
      
In general the group ring of ann-valued group is not ann-Hopf algebra but it is for ann-coset group constructed from an abelian group.
      
From it, we recover Joseph and Letzter's result by a kind of "quantum duality principle".
      
It is well-known that the ring of invariants associated to a non-modular representation of a finite group is Cohen-Macaulay and hence has depth equal to the dimension of the representation.
      
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This paper presents an investigation of the"Automatic Operator" of Diesel Loco-motive based on the principle of compound programming control. According to the sur-rounding 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...

This paper presents an investigation of the"Automatic Operator" of Diesel Loco-motive based on the principle of compound programming control. According to the sur-rounding 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 in-cludes a discussion of quality of control; and finally, formulas for determining the para-meters 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.

Two types of optimalizing control systems are analyzed and compared under random interferences. By means of approximation, the expectation values of hunting loss are calculated.

本文利用近似法求出两种极值調节系統在随机干扰影响下搜索損耗的数学期望,因而可以在具体条件下比較两种調节器的优缺点。在正态平稳随机干扰下,相关搜索法对較强的輸入端干扰是适宜的;反之,在較弱的輸入端干扰时,一般步进搜索法比較有利。計算結果也給出了在各种干扰强度下步进法的最佳步长及相关法的最佳搜索信号振幅,这些都是調节器的重要参数。

Analysis of the low frequency response of automatic balancing D-C amplifier with mechanical chopper is illustrated by a typical circuit in this paper. The analysis of dynamic response of the modulation and the demodulation circuits and the auxiliary carrier wave amplifier have been considered more in details. The analysis is based on solving difference equations since the intrinsic working process behaved by the M-D M circuits using mechanical chopper is more accurately described by difference equation other...

Analysis of the low frequency response of automatic balancing D-C amplifier with mechanical chopper is illustrated by a typical circuit in this paper. The analysis of dynamic response of the modulation and the demodulation circuits and the auxiliary carrier wave amplifier have been considered more in details. The analysis is based on solving difference equations since the intrinsic working process behaved by the M-D M circuits using mechanical chopper is more accurately described by difference equation other than by differential equations.

本文結合一个典型线路对带有机械振子的自动稳零直流放大器的低頻特性,进行了分析,并且着重分析了調制解調輔助放大器对緩变信号的频率响应。所用方法是差分方程求解法,因为用差分方程来描述具有机械振子的調制解調线路的固有工作过程,要比用相同的初始条件的微分方程来描述更为准确。文中推导出調制及解調綫路的調制系数k_M、解調系数k_(ДM)以及它們的传递函数。此外,对放大調制波的阻容耦合放大器也进行了分析。分析結果說明,如果放大器耦合迴路的参数选择得合理吋,則此放大器对緩变信号的調制波可作为理想放大器来处理。文中所得結果可作为設計該类型放大器时选择参数的参考。此外,本文对于采用自动稳零直流放大器作运算放大器时可能产生的持續低頻自激振蕩問題,也进行了討論。

 
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