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1.
设F是区域D内的一亚纯函数族,k是任一正整数,M为一正数,对于F中的每个函数f,只有至少t级零点,当1≤k≤4时,t=k 1,当k≥5时,t=k.置L(f)(z)=f(k)(z) ak-1(z)f(k-1)(z) … a1(z)f'(z) a0(z)f(z) b(z),a(z)≠0,a0(z),a1(z),…,ak-1(z),b(z)为D内的全纯函数,则有(i)若f(z)L(f)(z)=a(z)(=)|L(f)(z)|<M,z∈D,则F在D内正规.(ii)若f(z)L(f)(z)=n(z)(=)|f(z)|>M,z∈D,则F在D内正规.  相似文献   

2.
设k∈N,f(z)为复平面上的超越亚纯函数,φ(z)、ak-1(z),…,a0(z)为f(z)的小函数,且φ(z)≠0.置P(f)(z)=f(k)(z) ak-1(z),k-1((z) … a1(z)f'(z) a0f(z),且P(f)(z)不恒为常数.当k≤4时,满足Nk)(r,1/f)=S(r,f);k≥5时,满足N4)(r,1/f)=S(r,f),则T(r,f)<20-N(r,1/φfP-1) S(r,f).  相似文献   

3.
设k∈N,f(z)为复平面上的超越亚纯函数,φ(z)、ak-1(z),…,a0(z)为f(z)的小函数,且φ(z)≠0.置P(f)(z)=f^(k)(z)+ak-1(z),f^(k-1)(z)+…+a1(z)f(z)+a0,(z),且P(f)(z)不恒为常数.当k≤4时,满足Nr)(r,1/f)=S(r,f);k≥5,满足N4)(r,1/f)=S(r,f),则T(r,f)〈20N^-(r,1/φfP-1)+s(r,f).  相似文献   

4.
证明了下面两个定理:(1)设n,k≥2为正整数,a为有穷非零复数,F为区域D上的亚纯函数族,F中任一函数的零点重级至少为k.vf,g∈F,fLn(f)与gLn(g)IM分担a.则F在D上正规,其中L(f)为f(k)+a1f^(k-1)+…+akf,这里a1,…,ak为常数.(2)设n,k为正整数,且n≥2,a为有穷非零复数,F为区域D上的亚纯函数族,F中任一函数的零点重级至少为k,且fLn(f(z))=a能够推出|f^(k)(z)|≤A,其中A为正数,则F在区域D上正规.  相似文献   

5.
证明了单位圆内亚纯函数族F,若不正规,则存在一个函数列在开平面上的任意紧子集上一致收敛于一个非常数的亚纯函数,并应用它得到一个新的正规定则:设F为区域D内的一亚纯函数族,若对每一f∈F,fnf′≠1(n≥2),则F在区域D内正规.  相似文献   

6.
本文证明,其中,f(z)为超越亚纯函数,ψ(z)为非零亚纯函数,使得T(r,ψ)=S(r,f),其中,S(r,f)表示O{T(r,f)}(r→+∞),至多除去一个线性测度有限的r集。  相似文献   

7.
应用正规族理论及Zalcman引理,推广了Yuntong Li和Yongxing Gu一个亚纯函数正规性的定理,得到了下面的定理,即:设罗为复平面上一区域D上的亚纯函数族,k,n≥k+2为正整数,a为非零有穷复数,L(f^n)的表达式为a0(f^n)^k)+a1(f^n)^(k-1)+…+ak(fn),其中a0≠0,a1,…,ak为复数,对任意的f,g∈F,L(fn),L(gn)在D内分担a,则矿在D上正规.  相似文献   

8.
设F为区域D内的亚纯函数族n(≥3),m(≥1)为两正整数,6为非零有穷复数,若对 f,g∈F,在D内f"(f"-1)f'与g"(g"'-1)g'IM分担b.则F在D内正规.  相似文献   

9.
本文证明了,开平面上超越亚纯函数若不具有Ce形式(其中,A、B及C为复数,A≠0_。),则T(r,f)<6N(Y,l/Αf~2f~1十Bf~3-1)+S(r,f)(其中,S(r,f)表示。{T(r,f)}(r→+∞),最多除去(0,o)内一线性测度有穷的集合)。  相似文献   

10.
复平面上两个亚纯函数f(z)与g(z),若IM分担{∞},它们的一个导数IM分担1,则或者f(z)≡g(z),或者满足代数方程R(f,g)≡0,其中R(ω1,ω2)=ω1n(ω-1)m-ω1n(ω2-1)m.  相似文献   

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Based on the hydrographic data in austral summer during the 22nd Antarctic Expedition of China(2005/2006),some features can be found about the northern margin of Emery ice shelf as follows.The heat content in the surface layer(0-50 m) at the eastern end and the western end of the ice-shelf margin is much higher than that at the middle.The upper mixing-layer depth and the seasonal thermocline depth at the middle of the ice-shelf northern margin are much shallower than those at the both ends.However there is much less difference between the middle and the ends in the bottom layer.The remote sensing photos show that the inhomogeneity in the surface-layer water is closely related to the spatial distribution of the floes and polynia in the area.  相似文献   

13.
Phylogenetic analysis based on 16S rDNA of 8 strains of cultivable bacteria isolated from Arctic sea-ice was studied.The results showed that strain BJ1 belonged to genus Planococcus,which was a genus of low mole percent G C gram-positive bacteria;strain BJ6 belonged to genus Burkholderia of β-proteobacteria and the rest 6 strain all belonged to γ-proteobacteria,of which strain BJ8 was a species of Pseudoalteromonas,strain BJ2-BJ5 and BJ7 were members of genus Psychrobacter.Phylogenetic analysis also indicated that bacteria of genus Psychrobacter of the isolates formed a relatively independent phylogenetic cluster in comparison with other bacteria belonged to genus Psychrobacter.  相似文献   

14.
正1 Aims and Scope Advances in Polar Science(APS)is an international,peer-reviewed journal jointly sponsored by the Polar Research Institute of China and the Chinese Arctic and Antarctic Administration.APS is a comprchensive academic journal dedicated to presentation of multi-disciplinary achievements in Arctic and Antarctic expeditions and research.Its primary purpose is to publish achievements in fundamental research,applied  相似文献   

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《山地科学学报》2014,(4):I0004-I0009
<正>AIMS AND SCOPE(Editorial Policy)The Journal of Mountain Science(JMS)is devoted to mountains and their surrounding lowlands-ecoregions of particular global importance,with a particular emphasis on the important highlands/mountains in the world,such as the Tibetan Plateau,the Himalayas,the Alps,the Andes,the Rockies and many other mountain ranges of our planet.  相似文献   

17.
<正>The Journal of Mountain Science(JMS),founded in2004,is an international English-language journal on mountain sciences.JMS is supervised by the Chinese Academy of Sciences(CAS),sponsored by the Chengdu Institute of Mountain Hazards and Environment,CAS,published by Science Press China,and distributed by Springer exclusively throughout the world(excluding Mainland China).The JMS is published bimonthly,fulltexted in SpringerLink and CNKI,indexed/abstracted by  相似文献   

18.
S 《山地科学学报》2008,5(1):63-72
Livestock behaviour in the Pyrenees includes free grazing and a long resting period that provokes the accumulation of dung and urine in some places,so-called camping areas. The aims of this study were (i) to analyze any change in floral composition,and in nutritional and chemical contents of plants in a livestock camping area; and (ii) to relate the floral composition with soil chemical properties. In a linear transect,five sampling zones were established,from the centre of the camping area to the surrounding Nardus stricta-dominant pasture. The above ground plant biomass and the topsoil were sampled in each zone with 6 replicates per zone. Plant species were classified and weighed to calculate above ground biomass,nutritional and chemical contents,and Shannon diversity and evenness indices. Additionally,soils were sampled in two periods,at the beginning and at the end of grazing period. Soil available nutrients (nitrate,ammonium,phosphorus,potassium,calcium and magnesium),total nitrogen,organic carbon and pH were measured.
Plant chemical contents (protein,lignin and others) were significantly related to the proportions of grasses,legumes and other plants; so,the protein content is positively correlated with legumes plant biomass while lignin content is negatively correlated with grasses. Both plant and soil nutrients increased linearly towards the centre of the camping area. However,the relationship among plant species richness,diversity and evenness relative to its position along the studied transect was bell-shaped. From the outskirts to the centre of the camping area,plants with low nutrient demand were progressively replaced by those with medium and high nutrients demand and by pioneers.
Nardus stricta-dominant pasture has low plant diversity and plant nutrient content as well as a poor soil nutrient availability. The presence of the camping area introduced patches with more soil nutrients and new species in the large spatial scale. However at a small spatial scale,the strong soil nutrien  相似文献   

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文章概略介绍了利用卫星进行定位的原理 ;由卫星信号传播、信号接收和SA政策等引起的理论误差 ;给出了多种快速、高精度定位的工作模式和观测点选择的原则 ;列出了将WGS - 84坐标转换为我国坐标的公式及解算参数的具体方法 ,供读者在GPS工作中参考。  相似文献   

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