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同调
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  homology
     RELATIONS AMONG THE LOCAL HOMOLOGY MODULES FOR M,R(I,M) AND G(I,M)
     关于M、R(I,M)、G(I,M)的局部同调模之间的关系
短句来源
     Betti number p~(n-1)(S~n-M,2) M={p_1,p_2…p_m} m≥2,is achieved by applying homology method.
     应用同调方法,给出贝蒂数pn-1(Sn-M,2),M={p1,p2…pm}m≥2.
短句来源
     If(A,C)_Ψ has a normal integral,then the homology dimension of the smash product C~(*op)#_RA is not larger than the homology dimension of A.
     更一般地,若(A,C)ψ为Entwining结构,作者分析了代数A与smash积C*op#RA之间的关系,若(A,C)ψ存在正规化积分,则smash积C*op#RA的同调维数不大于A的同调维数.
短句来源
     The aim of this paper is to study the local homology modules for M , R(I,M)and G(I,M) and get some propositions and theorems.
     本文通过对M、R(I,M)、G(I,M)的局部同调模的研究得到几个定理
短句来源
     U(1)-equivariant Seiberg-Witten-Floer Homology for Homology 3-Sphere
     同调三维球面的U(1)等变Seiberg-Witten-Floer同调群(英文)
短句来源
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  homological
     Computation of the homological invariant Tor_m~(Z,Z) of non-unital ring A=sZ_(st)
     无单位元环A=sZ_(st)的同调不变量Tor_m~(Z,Z)的计算
短句来源
     THE HOMOLOGICAL EQUATION A=Ext_R~n(X,R) OVER A Π-COHERENT RING R
     Π-凝聚环上的同调方程A=Ext_R~n(X,R)
短句来源
     The homological dimension of the homomorphic module Hom (A, B)
     同态模Hom(A,B)的同调维数
短句来源
     Computation of the Homological Invariant Tor_m~(?)(Z,Z) of Non-unital Ring A
     无单位元环A的同调不变量Tor_m~(?)(Z,Z)的计算
短句来源
     The Homological Dimension of Generalized Drinfel'd DoubleB_(|x|τ)H
     广义Drinfel'd偶B_(|x|τ)H的同调维数
短句来源
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  cohomological
     COHOMOLOGICAL DIFFERENTIAL OPERATORS AND YANG-MILLS EQUATION
     同调微分算子与杨-Mills方程
短句来源
     GRADED COHOMOLOGICAL DIMENSION OF Gr-COHERENT Gr-SEMILOCAL RINGS
     Gr-凝聚Gr-半局部环上的分次余同调维数
短句来源
  “同调”译为未确定词的双语例句
     Characterizations of Characteristic L-fuzzy Subgroups and Homologous L-fuzzy Subgroups.
     特征L-fuzzy子群和同调L-fuzzy子群的刻划
短句来源
     Morita duality is an important concept in module theory.
     Morita对偶是模论与同调代数理论中又一重要的概念。
短句来源
     COHERENCY CONDITION ANALYSIS
     同调条件分析
短句来源
     The Study on Some Characters of Gorenstein Homlogical Dimension
     若干Gorenstein同调维数性质的研究
短句来源
     In chapter 3, we give some (necessary and) sufficient conditions on the extension closure of the subcategory T_T~k (R) consisting of T-k-torsionfree modules, and characterize the Wakamatsu tilting _ST_R with the property of (G_k) or (G'_k) by the properties of homologically finite subcategories.
     第三章给出了T-k-挠自由模范畴T_T~k(R)扩张闭的一些充分条件和充要条件,并用同调有限子范畴的性质对具有性质(G_k)或性质(G′_k)的Wakamatsu倾斜模_ST_R进行了刻画。
短句来源
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  homology
Using related sequences of Lucas numbers, other 3-manifolds are constructed, their geometric structures determined, and a curious relationship between the homology and the invariant trace-field examined.
      
The cohomology algebra of the classifying space of a compact Lie group admits the structure of ann-Hopf algebra, wheren is the order of the Weyl group; the homology with dual structure is also ann-Hopf algebra.
      
Affine lines on ?-homology planes with logarithmic Kodaira dimension -∞
      
Affine lines on ${\mathbb Q}$-homology planes and group actions
      
We show the role of group actions in the classification of affine lines on ${\mathbb Q}$-homology
      
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  homological
The application arises because of a very strong homological property enjoyed by certain cell filtrations forq-permutation modules.
      
For a split reductive algebraic group, this paper observes a homological interpretation for Weyl module multiplicities in Jantzen's sum formula.
      
Homological and Cohomological Invariants of Electric Circuits
      
Different Mechanisms of Protective and Differentiative Activities of Homological Peptides TGENHR and TQVEHR
      
As in the case with morphological features, correlated substitutions may become the cause of homoplasies-the independent evolution of identical non-homological adaptations.
      
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  cohomological
In addition to the standard cohomological tools in algebraic geometry, the proof crucially relies on the nonvanishing of certain 3j-symbols from the quantum theory of
      
The corresponding deformed dilations (the pseudodilations) turn out to be characterized by compatibility relations of a cohomological nature.
      
Homological and Cohomological Invariants of Electric Circuits
      
A cohomological interpretation of solvability conditions for the problem of field embedding is given.
      
A duality theorem for coherent analytic sheaves over complex analytic manifolds, the cohomological analog of the Alexander-Pontryagin duality theorem, is proved.
      
更多          


The ringed space is a recent development of the geometric function theory. The present paper describes the basic facts about the ringed space and the modern mathematical methods: sheaf theory, homological algebra., cohornology and Grothendicck topology, which are not only used in ringed fpace but extensively used in various branches of the modern mathematics.

赋环空间是几何函数论的最新发展。本文介绍了赋环空间的基本事实,同时介绍了层、同调代数、上同调、Grothendieck拓扑等现代数学方法,这些方法不仅在赋环空间而且在现代数学的许多分支都是广泛使用的。

This paper deals with a number of problems relating to differentiable manifolds. They include differentiable manifolds and differentiable maps, vector bundles and their classification, transversality theory in general, the theory of Cobodism with emphasis on the discussion of how to apply Thom-Space in the calculation of Abelian group Wn and the relation of Morse inequalities to Homology.

本文综述微分流形的一些有关问题.内容主要是:微分流形和微分映射;向量丛及分类定理;横截性的一般理论;协边理论其中着重阐明利用Thom空间来计算交换群W_n;最后是Morse不等式和同调的关系.

Based on a chronicle of droughts and floods (1163-1884) as well as the raiufall records (1885-1977) in plum rains season (May-July), an investigation on the fluctuation of droughts and floods has been carried out. The main conclusions are as follows:The climatic frequency of droughts and floods of various grades, which are 8%, 22%, 40%, 22%, 8%, roughly follows the normal distribution. The droughts and floods appeared clusterly and alternately. The prominent cycles are 157, 91, 61, 47, 38, 30.9, 27, 21.8, 19.2,...

Based on a chronicle of droughts and floods (1163-1884) as well as the raiufall records (1885-1977) in plum rains season (May-July), an investigation on the fluctuation of droughts and floods has been carried out. The main conclusions are as follows:The climatic frequency of droughts and floods of various grades, which are 8%, 22%, 40%, 22%, 8%, roughly follows the normal distribution. The droughts and floods appeared clusterly and alternately. The prominent cycles are 157, 91, 61, 47, 38, 30.9, 27, 21.8, 19.2, 14.9, 11, 9.7, 2.7, 6 and 5-year etc.Besides, the droughts and floods are compared with the solar activity cycle. Finally, the trend for the coming 22-years is discussed.

利用1163—1977年的史料和雨量资料对长江下游地区梅雨期(5—7月)的旱涝情况进行分析,得到如下结论。 (1)各级旱涝的气候频率近于正态分布;1—5级的气候频率分别为8%、22%、40%、22%、8%。各时期的旱涝分布不均,呈交替现象。全期分为多旱期(1200—1285),多涝期(1286—1522)和转旱期(1523—1977),在这三个时期内都存在旱涝的“群发倾向”。利用自回归功率谱(AR模式)方法得显著周期为157、91、61、47、38、30.9、27、21.8、19.2、14.9、11、9.7、7.7、6和5年等。 (2)统计结果证实太阳活动最大年和最小年附近的旱涝次数为最多,而在最大年附近(M—1、M)涝的次数比旱的多,在最小年附近(m—1、m、m+1)旱的次数比涝的多。用同调谱分析,太阳黑子对梅雨旱涝有着一定影响,但关系不十分显著。

 
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