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Conjecturally, these two functors are mutually inverse (for "small" open subsets of the manifolds in question).


We give a characterization and a combinatorial description of representations with small Cartan components.


Our results show that in general Cartan components are small.


Modules over the small quantum group and semiinfinite flag manifold


It is also shown that on the nilmanifold $\Gamma\backslash (H^3\times H^3)$ the balanced condition is not stable under small deformations.

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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. All kinds of colonies of Volvox africanus were found in great abundance during the first two weeks of May, 1933, from a pond in Nanking.2. The smallest colony is much smaller than that recorded from Africa and the Philippine Islands.3. The somatic cells are not connected by protoplasmic filaments in adult colonies.4. Asexual colony usually contains from two to six daughters symmetrically arranged in pairs according to size on opposite sides of the polar axis.5. Sexual colonies of different kinds... 1. All kinds of colonies of Volvox africanus were found in great abundance during the first two weeks of May, 1933, from a pond in Nanking.2. The smallest colony is much smaller than that recorded from Africa and the Philippine Islands.3. The somatic cells are not connected by protoplasmic filaments in adult colonies.4. Asexual colony usually contains from two to six daughters symmetrically arranged in pairs according to size on opposite sides of the polar axis.5. Sexual colonies of different kinds are developed from the asexual mother either singly or in combination with other kinds and asexual daughters.6. Parthenogonidia develope very early in young embryos long before the latter become matured and escaped from the mother colony. 7. During the early development of parthenogonidia, at least from first to fifth or sixth divisions, no growth of the whole embryo takes the place while the number of cells increases.8. Spermatogonia attain fullygrown size and begin to divide before the time of the birth of the colony.9. The development of spermatogonium consists of seven successive divisions in forming a bundle or platelet of one hundred and twenty eight spermatozoa or microgametes.10. The number of ovaries in a female colony varies from twelve to fourty six. Generally, the larger the colony, the more the ovaries developed.11. Risexual colonies contain only two or three spermatogonia in addition to fourteen to twenty seven ovaries.12. In general, specimens recorded in Nanking are identical to those from the tropical regions such as Africa and the Philippine Islands.  關於菲洲團走子之分佈,按記載所及。僅限於菲洲,菲列濱,南印度等熱带區域。今在南京發現,於地理分佈上實為一新記錄。此種團走子在羣體成熟之後,其體質细胞間,並無原生質線交相聯絡。無性羣體每含有二至六大小不同成對均置之無性幼羣體。幼羣體在脫離母體以前,往往含有第二代幼體。各種有性羣體,亦自無性母羣體中發達而成。雄性羣體,皆为橢圓形,而較其他羣體為小。雌性羣體中之卵或大配子约有十二至四十六。雙性羣體只含有二或三精原细胞,及十五至二十七卵或大配子。孤性生殖细胞在幼羣體内即發生。當最初五或六次分裂時,细胞雖增加,而幼胎並不長大。精原细胞经七次連續之均等分裂,而成一束一百二十八精子或小配子。  Formulas are derived for the solution of the transient currents of dissipative lowpass Ttype electric wave filters. Oscillograms taken by cathode ray oscillograph for dc. and ac. cases are found to agree with results calculated from these formulas. From these calculations, the following conclusions are derived. When terminating resistance is gradually increased from O, the damping constants of the sine terms begin to differ from each other, ranging in decreasing magnitude from term of the lowest frequency... Formulas are derived for the solution of the transient currents of dissipative lowpass Ttype electric wave filters. Oscillograms taken by cathode ray oscillograph for dc. and ac. cases are found to agree with results calculated from these formulas. From these calculations, the following conclusions are derived. When terminating resistance is gradually increased from O, the damping constants of the sine terms begin to differ from each other, ranging in decreasing magnitude from term of the lowest frequency to the last term of cutoff frequency. Hence the transient is ultimately of the cutoff frequency. At cutoff frequency, this constant is near to but greater than R/2L. For each increase of section, there is introduced an additional sine term with smaller damping constant. Therefore transients die out faster in filters of smaller number of sections. Since transient amplitudes are of the same order of magnitude before and after cutoff, filtering property only exists in the steady states.  此篇先推求收端加电阻时,低频滤波器瞬流之公式。依此公式算出之图与用阴极光示波器映出之曲线相符合。自推算之结果,可得下列结论: (一)在滤波器收端电阻渐加时,瞬流各项之挫率渐互异,其数量由低频项至隔阻频之项顺序渐减;其最小数仍比收端无电阻时之挫率(R/2L)为大。故瞬流终必变为隔阻频之电流;而较收端无电阻时易于消减。 (二)当滤波器增加一段时,瞬流之项数亦加一。所加项之挫率皆比前有者为小。故少段滤波器之瞬流易于消减。 (三)在隔阻频後瞬流之数量与在其前者相彷恒较隔阻频後之安定数量大数十倍,故滤波之特性仅能见之于安定状态。   << 更多相关文摘 
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