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We show that wonderful varieties are necessarily spherical (i.e., they are almost homogeneous under any Borel subgroup ofG).


This paper is devoted to a systematic study of quantum completely integrable systems (i.e., complete systems of commuting differential operators) from the point of view of algebraic geometry.


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.


Let denote an orthogonal symmetric Lie algbra and let (G, K) be an associated pair, i.e., Lie(G = and Lie(K°) =.


Lower degree bounds for modular invariants and a question of I.

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We use the theory of tilting modules for algebraic groups to propose a characteristic free approach to "Howe duality" in the exterior algebra.


The purpose of this note is to prove, as Lusztig stated, that the Euler characteristic of the variety of Iwahori subalgebras containing a certain nilelliptic elementnt istcl wherel is the rank of the associated finite type Lie algebra.


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.


In the present paper we study the remaing nontrivial case, that of a negative central chargeN.


In this note we present a very simple method of proving that some hyperbolic manifoldsM have finite sheeted covers with positive first Betti number.

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As a continuation of part I of the paper under the same title, we develop general monotonic enclosure methods for the couple systems of the splitting equations


In this paper we prove that a class of trust region methods presented in part I is superlinearly convergent.


Single machine scheduling with controllable processing times and compression costs (part i: equal times and costs)


In Part I of this paper, the authors have considered a special case where the compression times and the compression costs are equal among all jobs.


Authors propose here two heuristics with the first based on some previous work and the second based on the algorithm developed in Part I.

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 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  1. The Mountain region of Upper Hwangho.  (一)南征之决定及目的(二)循化黄河南北之大山(三)大夏河上游(四)洮河择源区探索(五)陇蜀界上之南木 寺(六)江河分水高原一角黄河入岷说  With γrays of various wavelengths the number of counts produced in a GeigerMuller counter of Pbwall was determined in equal time intervals. The same experiment was carried out with a counter of Alwall. Let Npb and NA1 represent the number of counts produced in the Pbcounter and Alcounter respectively by a beam of γrays of even wavelength in a given time interval. The ratio Nph/NA1 observed decreases at first with the wavelength of the incident beam due to the diminishing photoelectric of lead. It is,... With γrays of various wavelengths the number of counts produced in a GeigerMuller counter of Pbwall was determined in equal time intervals. The same experiment was carried out with a counter of Alwall. Let Npb and NA1 represent the number of counts produced in the Pbcounter and Alcounter respectively by a beam of γrays of even wavelength in a given time interval. The ratio Nph/NA1 observed decreases at first with the wavelength of the incident beam due to the diminishing photoelectric of lead. It is, however, found to increase by 16% when the wavelength of the incident radiation is decreased from a value 6.6 x. u. 4.7 x. u. This rising is due to particles produced by the interaction of hard γrays with the Pbnuclei.  能力极大的丙种镭辐射,可以影响原子核,这是新近发见的事实。为进一步的研究,我们把极硬的丙种镭辐射,照在铅的数电子管(Electron Counter)上结果:除了射出的光电子和反跳子(Compton RecoilElectron)外,还观察到一种电子(有阴阳二种),约占总数的百分之十七。这种电子的来源,现在有两种解释:1从原子核里射出。(2)直接由丙种镭辐射变成。   << 更多相关文摘 
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