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distribution
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     ON THE DISTRIBUTION OF
     关于{x/n}的分布
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     On the Distribution of f(n) (modl)
     关于f(n)模1的分布
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  distribution
The Diagonal Distribution for the Invariant Measure of a Unitary Type Symmetric Space
      
In this paper we compute the Fourier transform of the diagonal distribution for $\phi_{*}\mu,$ relative to a compatible triangular decomposition of G, the complexification of U.
      
Scales of quasi-norms are defined for the coefficients of the expansion that characterize, via Littlewood-Paley-Stein theory, when a radial distribution belongs to a Triebel-Lizorkin or Besov space.
      
Approximation of Distribution Spaces by Means of Kernel Operators
      
In this note we prove that the Wigner distribution of an f ∈ L2(?n) cannot be supported by a set of finite measure in ?2n unless f=0.
      
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Both sectorphotometer and microphotometer analyses were carried out on the Hg spectrum transmitted by papers popularly used as window materials in Chinese homes. The intensity distribution of transmitted radiation, after normal incidence, through samples of nine different kinds of paper have been studied, and the total transmission calculated for various wavelengths.

以水银灯为光源,正射於纸上,其透射部份,用分光摄影法定量。以分圆光度计(Sectorphotometer)及显微光度计(microphotometer)量出九种窗户纸之紫外线透射性。并实验各种纸之抗断强度及其纤维之构造等,俾得相当之评价。 通常窗户纸对於具有最高生理效用之紫外线(波长2967A.U.)之透射量可居百分之十九至四十一;我国南部之壳片窗亦可透射百分之二十。至於玻璃窗,其透射量则等於零。外国虽有特备之玻璃能透射百分之二十至八十之此种紫外线,但其价值殊昂,不能使其遍普应用,可见两者反不若我国之窗户纸为佳矣。 窗户纸中以平粉连纸透紫外线最多,如将纸上桐油,则可视线及紫外线之透射力,皆有可观之增加,同时亦可去潮湿以致易破之影响。倘以普通之豆油油之,则其易於变黄,并减低其紫外线透射力,甚不适宜也。 如欲得较完全之讨论,请参考陈尚义之硕士论文,现存於燕京大学图书馆。

Wang's theory for determining the approximate configurational partition function of the adsorbed layer is modified in two different ways. One is to assume that the configurational energy should be corrected: the other to advocate that the deficiency due to a wrong expression for the a priori probability of the. central site is more significant.The configurational partition function is evaluated is both methods and the adsorptipn isotherin and the beat of adsorption computed for the case of quadratic lattice...

Wang's theory for determining the approximate configurational partition function of the adsorbed layer is modified in two different ways. One is to assume that the configurational energy should be corrected: the other to advocate that the deficiency due to a wrong expression for the a priori probability of the. central site is more significant.The configurational partition function is evaluated is both methods and the adsorptipn isotherin and the beat of adsorption computed for the case of quadratic lattice With dipole interaction. values for the last two quantities when a uniform continuous distribution of the distant adsorbed particles is assumed are further given for comparison. The second method, which surpasses the first, is compared with Kirkwood's method. in the case of hexagonal lattice with neighbour interaction. Numerical work is also carried out in this case.

本文就王竹溪先生之理论用两种不同方法加以改良。一种为改变能量公式,另一种为改变中心格点之或然率。用此二法皆可求得近似配分函数。所得关於方格在偶极作用情形下之粘附等温曲线及粘附热之数值用图比较之,并与旧日平均连续分布之理论比较。本文所用之第二法实较第一法为佳,故应用之以讨论一三角格在相邻作用情形下之粘附现象,且应用Kirkwood理论以为比较。数值结果亦有图表之。

A.The Soils Since the goological formation of this mountainous area is quite uniform,a vertical distribution of soils is obviously observed. At the top of the mountain with an elevation of 8,500 feet,the podzolic soil is found. The process of podzolization is clearly shown by the translocation of clays,organic matter, and active aluminum from an upper to lower layer.The gray brown podzolic soil is distributed in areas ranging from 7,000 to 8,500 feet in elevation.It is developed under forest and...

A.The Soils Since the goological formation of this mountainous area is quite uniform,a vertical distribution of soils is obviously observed. At the top of the mountain with an elevation of 8,500 feet,the podzolic soil is found. The process of podzolization is clearly shown by the translocation of clays,organic matter, and active aluminum from an upper to lower layer.The gray brown podzolic soil is distributed in areas ranging from 7,000 to 8,500 feet in elevation.It is developed under forest and has a surface covering of leaf litter and a surface soil with high content of organic matter.In places at an elevatin from 3,900 to 7,000 feet the yellow podzolic soil is dominant.At an elevation below 3,000 foot the red podzolic soil and the sketetal soil are fonnd. The analytical data of the soils of this area may be summarized as follows: 1.pH values of the soils:In the whole area,since the parent rock (gneiss) is poor in basic constituents,soils are all acid in reaction.The pH of the different horizons of the soils ranges from 4.0 to 5.5.The A_0 and A_1 horizons are usually less acid than B horizon,the A and B horizons are much more acid than the parent rock.This shows the leaching process of the soils under such a humid atmosphere. 2.Organic Matter of the soils:The organic matter content of the soils in this area is greatlg influenced by the kind of the vegetation cover.At an elevation of 8,500 feet, the soil developed under forest has 38.92% of organic matter in the A_1,while that under grass has only 11.08% of organic matter in the corresponding horizon.However as the vegetation cover is constant,the dopth of the A_1 and its organic matter content are evidently affected by the elevation.At an elevation of 3,000 feet,the A_1 horizon of the red podzolic soil is only 1 cm.in depth,and it has 3.37% of organic matter.At an elevation of 8,500 feet,howerver,the A_1 horizon of the podzolic soil is 7 cm.in depth, and it has 11.08% of organic matter.In addition,deposition of organic matter in the B horizon is clearly found in the podzolic soil,but it has not been seen in soils found at lower elevation. 3.Active aluminum of the soils:All the soils in this area are high in active aluminum. They contain from 20 to 16 p.p.m.of active aluminum.The content of active aluminum in the different horizons of the same profile has a very close relationship with the pH values of the corresponding horizon.The less acid the reaction the smaller is the amount of acitve aluminum.The active aluminum of the soil is usually higher in amount than that of the parent rock from which the soil is derived. 4.Available calcium magnesium,and potassium of the soils:All the soils are general- ly low in available calcium,magnesium,and potassium.The comparatively high content of these elements in the A horizon is derived from the leaves of the vegetation which are grown on that soil. 5.Available phosphorus of the soils:All the soils of this area are low in available phosphorus. 6.Available nitrate:All soils in this area are very low in nitrate. B.The Vegetation 1.The plants growing on soils of this area are most calcifuge species which are acid- loving (Vaughan and Wishe,1937).As far as the chemical analysis of the soil is concer- ned,those species may be assumed as not only acid-loving,buy also active aluminum- loving (Hutchinson,1943). 2.The distribution of the calcifuge plants In this area is apparently affected by the local climate in terms of elevation.Some of them (temperate plants) are confined to high elevation,others(tropical plants) being limited to low elevation,Two groups of the plants may be given as follows.Many of them are of the same species as those found in southwestern China (Hou,1944). (a) Plants mainly ocurring in areas at elevations from 7,000 to 8,500 foot (temperate plants): Pteridophyta: Destaedtia Scabra (Wall.) Moore Diranopteris linearis Under. Hicrioptris glauea Under. Hymenophyllum crispatum Wall. Hymenophyllum exsertum Wall. Lidsaya cultrata Sw. Lycopodium clavatum L. Plagiogyria pyphylla (Kunze) Mett. Pteridium aquilinum Wightianum Trym Pteris aspericaulis Wall. Flowering Plants: Castanopsis tribuloides A.DC. Lindera pulcherrima Bth. Osbeckia crinata Bth. Rhododendron arboreum Sm. Rhododendron grande Wight Pieris formosana D.Don Vaccinium refersceda HK. Vaccinium serrasum Wight (b) Plants mainly ocurring in areas at elevation from 1,000 to 3,000 feet (tropical plants): Pteridophyta: Adiantum philippense L. Blechnum orientale L. Aglaoorpha coronaus Copel Lycopodium cernum L. Nephrolepsis cordifolia Presl Tectaria spp. Polypodium ucidum Roxb. Flowering plants: Oxyspora paniculate DC. Themeda arundinacea Ridl.

1945年10月中旬,作者留印三月另一周,曾作三次野外调查,计包括印缅边区、恒河平原及喜马拉雅山东南麓等三区,茲先将大吉岭区调查结果,草成此文。调查区域大吉岭位于喜马拉雅山东南麓,在我国西藏边境,全区是山地,海拔自1000到9000尺不等,主为酸性的片麻岩地层,在拔海6500尺地点,年平均气温为56.3℉.,年雨量为122寸。土壤灰壤——灰棕壤组合:在拔海8500尺左右的山顶,灰壤见于草地上,而灰棕壤则发育在森林之下。灰棕壤——灰化黄壤组合:在拔海7000—8000尺地带,森林下仍是灰棕壤,而草地上则为灰化黄壤。灰化黄壤——粗骨土组合:在拔海1000—3000尺地带,片麻岩生成灰化红壤,酸性砂岩生成砾质土。全区土壤特征可归纳如下: (1)土壤 pH 值:全区因土壤母质为酸性片麻岩,各类土壤剖面亦为酸性反应;pH 值约自4.0至5.5。A_1层之 pH 值恒较 B 层为大,而土壤剖面内之 A 层及 B 层均较母岩之酸度为高。 (2)土壤有机质:从土壤有机质分析结果观之,显示植物种类对于土壤有机质之含量高低,有密切的关系,在拔海8500尺之地带,发育于森林下的灰棕壤,表土含有机质38.92%,而同处草类和蕨类植物...

1945年10月中旬,作者留印三月另一周,曾作三次野外调查,计包括印缅边区、恒河平原及喜马拉雅山东南麓等三区,茲先将大吉岭区调查结果,草成此文。调查区域大吉岭位于喜马拉雅山东南麓,在我国西藏边境,全区是山地,海拔自1000到9000尺不等,主为酸性的片麻岩地层,在拔海6500尺地点,年平均气温为56.3℉.,年雨量为122寸。土壤灰壤——灰棕壤组合:在拔海8500尺左右的山顶,灰壤见于草地上,而灰棕壤则发育在森林之下。灰棕壤——灰化黄壤组合:在拔海7000—8000尺地带,森林下仍是灰棕壤,而草地上则为灰化黄壤。灰化黄壤——粗骨土组合:在拔海1000—3000尺地带,片麻岩生成灰化红壤,酸性砂岩生成砾质土。全区土壤特征可归纳如下: (1)土壤 pH 值:全区因土壤母质为酸性片麻岩,各类土壤剖面亦为酸性反应;pH 值约自4.0至5.5。A_1层之 pH 值恒较 B 层为大,而土壤剖面内之 A 层及 B 层均较母岩之酸度为高。 (2)土壤有机质:从土壤有机质分析结果观之,显示植物种类对于土壤有机质之含量高低,有密切的关系,在拔海8500尺之地带,发育于森林下的灰棕壤,表土含有机质38.92%,而同处草类和蕨类植物发育下的灰壤的表土,仅含有机质11.08%,但在相同的植物环境下,拔海高度或局部气候,也是支配土壤有机质含量的重要因素,例如在拔海3000尺地带,长有草类的灰化红壤,仅有极薄之有机质层,该层有机质含量为3.37%,而在拔海8500尺地带,长有草类的灰壤,则有较厚层有机质,其含量为11.08%。 (3)可溶性铝质:全区土壤含有高量可溶性铝,大约自20至160 p.p.m.,其含量与 pH 值高低相关,土壤 pH 值愈酸,可溶性铝含量就愈高。 (4)可溶性钙镁及钾质:全区土壤之可溶性钙,镁及钾等之含量均较低,但就同一土壤剖面而言,富于有机质的 A。或 A_1层的钙镁和钾质,常较 B 层为高,此点显示此等成份是来自植物遗体,亦即指示土壤中有机质与肥力之关系。 (5)全区土壤有效磷含量均甚低。 (6)全区土壤硝酸态氮之含量均极低,并有下淋现象。植物本文所论植物,仅以作者所采集而经各专家鉴定为限,其中以蕨类植物为主。本区的土壤都是酸性反应,所见的植物是以嫌钙性者为主,这些嫌钙性植物与拔海高度的关系很显著,兹将常见的植物种类,叙述如下: (一)主分布于拔海7000—8500尺地带的植物: 蕨类植物 Dennstaedtia scabra(Wall.)Moore Dicranopteris linearis Under. Hicriopteris glauca Under. Hymenophyllum crispatum Wall. Hymenophyllum exsertum Wall. Lindsaya cultrata Sw. Lycopodium clavatum L. Plagiogyria pycniphylla(Kunze)Mett. Pteridium aquilinum Wightianum Trym. Pteris aspericaulis Wall.种子植物 Castanopsis tribuloides A.DC. Lindera pulcherrima Bth. Osbeckia crinata Bth. Rhododendron arboreum Sm. Rhododendron grande Wight Pieris formosana D.Don Vaccinium referesceda HK. Vaccinium Serrasm Wight(二)主分布于1000—3000尺地带的植物: 蕨类植物Adiantum philippense L.Blechnum orientale L.Aglaomorpha coron(?)us copelLycopodium cernuum L.Nephrolepsis cordifolia PresslTectaria spp.Polypodium lucidum Roxb.种子植物Oxysoira paniculata DC.Themedra arundinacea Ridl.

 
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