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In our paper [KR] we began a systematic study of representations of the universal central extension[InlineEquation not available: see fulltext.] of the Lie algebra of differential operators on the circle.


We express them in terms of generatorsEij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities.


In the case of 4dimensional 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.


Reductive group actions on affine quadrics with 1dimensional quotient: Linearization when a linear model exists


We study reductive group actions on complex affine quadrics.

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 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.  Analysis of the low frequency response of automatic balancing DC 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 MD M circuits using mechanical chopper is more accurately described by difference equation... Analysis of the low frequency response of automatic balancing DC 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 MD 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。  Emission and absorption band spectra of sulphur dioxide were studied in the region between 2600 to 2000 A.U. A new system of emission bands (about 150 bands) was found. When these bands were compared with the absorption bands and Mr. Lotmar's fluorescent bands, coincidences were found which amount to 40% and 50% of the total number of absorption and fluorescent bands respectively. These agreements and the very different structure as compared with the SO bands recorded on the same plate made it very probable... Emission and absorption band spectra of sulphur dioxide were studied in the region between 2600 to 2000 A.U. A new system of emission bands (about 150 bands) was found. When these bands were compared with the absorption bands and Mr. Lotmar's fluorescent bands, coincidences were found which amount to 40% and 50% of the total number of absorption and fluorescent bands respectively. These agreements and the very different structure as compared with the SO bands recorded on the same plate made it very probable that SO2, is the emitter of these emission bands. Evidences were also found that these emission bands arc not the known bands of O2, Oa+ and S2 in the same region. As a further support a vibrational level scheme was worked out, using the three fundamental frequencies of the normal SO2, molecule (1150, 525, and 1360 cm1) in the lower state and 750 and 350 cm1 (possible also 1110 cm1) as the frequencies in the upper state. This scheme accounts for 1Q% of the absorption bands, 70% of the emission bands and a small fraction of the fluorescent bands. While the scheme may not be the final due to the complexity of the vibrational formula, one feels fair, as far as the present evidence goes, to conclude that the emission bands observed are actually emitted by the SO2, molecules and that they can be fitted by a vibrational level scheme based on the three known fundamental frequencies of the normal state.  此文目的在报告二氧化硫气体分子之吸收光谱及发射光谱(emission speetrun)之研究光谱区域约在2000A与2600A间有一新组发射光带(band)发现。数约百五十在吸收光带中有百分之四十之光带与此发射光带附合。在Lotmar先生之弗光光谱(fluorescent speetrum)中,有百分之五十之光带与此发射光带附合并此所得之发射光带之结构与SO之光带显有区别,令人设信此发射光带为SO_2分子所发者。在另一方面,找到证据,所得之发射光带亦非0_2,O_2~+及S_2诸分子之光谱为求更进一步之证实,试以SO_2之三基本振动数(fundamental frequency)1150,525及1360cm~(1)为能力阶梯之差而作一常态(normal state)下之能力阶梯。再用750,350cm~(1)(或1110亦用)为分子在激态(excited state)时之振动数,而作一激态下之能力阶梯所得之能力图(energydiagram)可说明吸收光带之70%,发射光带之70%及弗光光带之一小部份,此能力图并不完全,故不能望其为最终者。以三原子分子情形复杂,完全正确之分析,尚有待焉。之 能 力唯协... 此文目的在报告二氧化硫气体分子之吸收光谱及发射光谱(emission speetrun)之研究光谱区域约在2000A与2600A间有一新组发射光带(band)发现。数约百五十在吸收光带中有百分之四十之光带与此发射光带附合。在Lotmar先生之弗光光谱(fluorescent speetrum)中,有百分之五十之光带与此发射光带附合并此所得之发射光带之结构与SO之光带显有区别,令人设信此发射光带为SO_2分子所发者。在另一方面,找到证据,所得之发射光带亦非0_2,O_2~+及S_2诸分子之光谱为求更进一步之证实,试以SO_2之三基本振动数(fundamental frequency)1150,525及1360cm~(1)为能力阶梯之差而作一常态(normal state)下之能力阶梯。再用750,350cm~(1)(或1110亦用)为分子在激态(excited state)时之振动数,而作一激态下之能力阶梯所得之能力图(energydiagram)可说明吸收光带之70%,发射光带之70%及弗光光带之一小部份,此能力图并不完全,故不能望其为最终者。以三原子分子情形复杂,完全正确之分析,尚有待焉。之 能 力唯协所得之能 力 圆 山。。。,。w山。…。。。。\可。Z5t 叫 吸收 几 卅之70九传 时 光排 上 7,％及 比 儿 儿 卅上 一 个 部 份 此 能 力 闲 伙 不 正 全;故个能 望IC iX侦相 许 nt原一户 外 广似形 应 输,完全 正雕之分 析。尚有   << 更多相关文摘 
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