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We show that they are induced by automorphisms ofG and that a surjective holomorphic selfmap can be nonbijective only in the directions of the nilradical ofG.


We prove a more general version of a result announced without proof in [DP], claiming roughly that in a partially integrable highest weight module over a KacMoody algebra the integrable directions from a parabolic subalgebra.


[6] regarding boundedness of maximal functions with respect to rectangles of lacunary directions, and prove a result regarding the cardinality of subsets of arithmetic progressions in sets of the type described above.


Yau's original statement was improved or extended in various directions by a long list of authors.


Recent methods developed by Tao [18], Kolountzakis and Matolcsi [7] have led to counterexamples to Fugelde's Spectral Set Conjecture in both directions.

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 Selfrecording system is devised and used to measure potential gradient at Yenching. In fine weather the results show two maxima and two minima for a whole day. During raining potential gradient is constant at zero value, except when lightening and thunderstorm occur in which case the potential gradient changes rapidly both in magnitude and direction.  本篇所述,为在北平燕京大学用静电计及一连续记录器测量大气电位梯度之方法及结果测量方法,乃用一种均位器(eqalizer)将离地面约3至6米高之电位显示于静电计上再用照相纸将此电位制成连续记录。测量所得结果如下:晴天之电位梯度。一日之中,有二最高值及二最低值雨时梯度即降至零,且此值非至雨止不变。当闪电及雷飓时,梯度之方向与值,变易极速。且较晴天时为大。  1. The conformity of the pattern of Cicindela anchoralis to what has been considered typical of the genus becomes in telligible if the middle band, which is undoubtedly the most variable of the markings of this species, is assumed to have shifted forward and to have developed extensions both cephaled and caudad along the lateral margin and on the disc of the eIytron.2. The variation of the pattern is of the continuous type and proceeds in one principal direction. As expected, some in dividuals depart... 1. The conformity of the pattern of Cicindela anchoralis to what has been considered typical of the genus becomes in telligible if the middle band, which is undoubtedly the most variable of the markings of this species, is assumed to have shifted forward and to have developed extensions both cephaled and caudad along the lateral margin and on the disc of the eIytron.2. The variation of the pattern is of the continuous type and proceeds in one principal direction. As expected, some in dividuals depart from this main series, in one way or another and ten such subtypes have been recognized in this study. The range of variation is very considerable.3. The male sex is found to have a greater tendency to lose its pigmentation, and this fact is interpreted as indicating its having a more variable middle band.4. Mating between the different types is entirely at random, the frequency of any given combination is apparently a function of the abundance of the individuals in a given class.5. In describing the elytral pattern of this species, Chevrolat (1845) used these words: "vitta anchorali, cum lienola pone humerum (femina amplioribus); cupreis". He evidently had regarded as typical the pattern showing fullest pigmentation. The present study shows, on the other hand, that such a pat tern, while most primitive, is not the most representative. The typical pattern is to be sought in Class Ⅳ, the model class. This last remark certainly has wider application and merits the consideration of taxonomists describing highly variable forms.  斑蝥科甲虫翅鞘色型之差異,在一部份種類中,極为顯著。本篇所論,根據中國种錨紋斑蝥,於廿二年夏採於厦門北岸,計雌雄共九百餘個,內有交配者六十二對,所得結論如下: (一)本種色型,甚为異特。若以美人薛福特氏所立之本屬理想模式色型推解,則其中間淡色横斑,較为移前,其左右則向上下分枝成H形。 (二)此種色型之變異為連續式仝趨一主要方向,但依其變異之分岐,可别为十種副式色型,詳情已於西文中加以討論。 (三)雄虫翅鞘之中間淡色横斑變異較大,其深色紋斑之傾向於縮小亦因之較雌性为甚。 (四)兩性交配,与色型之差異,全無關係。 (五)大部份個數皆呈現中間色型。其趨向於兩極端者(深色或淡色特别發達者)乃屬少数。因此分類學者於記述变異極大之種類時,應发中間色型者為代表。  Magnetization curves of the polycrystalline FeCo and NiCo alloys of the cubic system and also of the pure cobalt were determined by means of a ballistic method. Gans' theory of the magnetic properties of isotropic ferromagnetics was applied. The agreement between his theory and the experimental results is quite good for the strong fields but not so for the weak fields, just as in the ease of the pure ferromagnetics. The discrepancy for the weak fields may be explained by his neglect of the free energy which... Magnetization curves of the polycrystalline FeCo and NiCo alloys of the cubic system and also of the pure cobalt were determined by means of a ballistic method. Gans' theory of the magnetic properties of isotropic ferromagnetics was applied. The agreement between his theory and the experimental results is quite good for the strong fields but not so for the weak fields, just as in the ease of the pure ferromagnetics. The discrepancy for the weak fields may be explained by his neglect of the free energy which is required to magnetize the elementary crystals isothermally to the saturation intensities in the easy direction of magnetization. After including this part of the energy the agreement between theory and experiment is improved in general and in some cases, it is remarkably good. For pure cobalt the magnetization intensities for a given field are smaller than those obtained by previous investigators, but in better agreement with the theory than those previously obtained. Since the disagreement cannot be accounted for by the experimental error in the present investigation, the comparatively less studied cobalt needs further investigation.  用冲击法量属於正方晶系之铁钴及镍钴合金并纯钴之多结晶体之磁化曲线与Gans氏各向同性铁磁物质磁性之理论相较知在强磁场时理论与实验之契合甚佳在弱磁场时则较差,弱磁场时之差异,可以Gans氏计算时略去磁化各元晶体於其易磁化方向至饱和度所需之自由能一点解释之改正此点后理论与实验之契合大体改善在数种合金且极佳。纯钴之磁化强度在各磁场下较之前人所得者均小,惟与理论之契合则较佳:此与前人不同之点既不能归诸本实验之误差,则此较少被注意之钴实需要更进一步之研究   << 更多相关文摘 
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