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bundles
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    ON THE CLASSIFICATION PROBLEM OF FIBRE BUNDLES
    关于纤维的分类问题
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    An Approach to Two Types of de Sitter Gravities in Terms of Fiber Bundles
    纤维表述的两种de Sitter引力的探讨
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    THE RIEMANNIAN METRIC OF FIBER BUNDLES
    纤维的黎曼度量
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    We use the isomorphism between the Clifford algebra Cl8 and the matrix algebra R(16) to construct homeomorphism between Grassmann manifold G(2,8) and the set of orthogonal complex structures on R8.Restricting the homeomorphism on the fibres of fibre bundles π:G(2,8)→S6 and τ:CP3 →S4 respectively,we get the set of complex structures on the tangent spaces of S6 and S4 respectively.
    利用Clifford代数Cl8和矩阵代数R(16)之间的同构,证明了Grassmann流形G(2,8)与欧氏空间R8上全体保定向复结构是同胚的. 进一步,将此同胚限制于纤维π:G(2,8)→S6的每一纤维,给出S6的切空间上保定向的复结构;
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    The possible form of the total Stiefel-Whitney classes of vector bundles on RP(j)×CP(k) is determined in this paper.
    本文利用Steenrod上同调运算及吴公式决定了RP(j)×CP(k)上的向量的全Stiefel-Whitney类的可能的形状.
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  “bundles”译为未确定词的双语例句
    HIGHER ORDER CURVE FORMED BY TWO PROJECTIVE LINE BUNDLES
    两线束对应构成的高阶曲线
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    Estimate of Lower Bundles of a Series of Willmore Type Functional in Terms of Betti Numbers of Submanifold
    一组Willmore型泛函通过系统形的Betti数的下界估计
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    Analytical Theory of the Correlation of Bundles
    把的异素对应的解析理论
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    AN IMPORTANT NATURE IN DIFFERENT ELEMENT CORRESPONDONCE OF BUNDLES AND IT'S APPLICATION
    异素对应把中的一个重要性质及其应用
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    Rudakov lectured on exceptional sequences of vector bundles for P2. In 1993,W.
    1993年,W.
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  bundles
As an application we produce complete hyperbolic 5-manifolds that are nontrivial plane bundles over closed hyperbolic 3-manifolds and conformally flat 4-manifolds that are nontrivial circle bundles over closed hyperbolic 3-manifolds.
      
As a corollary we obtain that the moduli space of rank 3 and degree 0 bundles on a smooth projective curve of genusg is C-M.
      
We also prove cohomology vanishing results for line bundles on the compactification.
      
For a classical semisimple Lie algebra, we construct equivariant line bundles whose global sections afford representations with a nilpotentp-character.
      
The main part of the work deals with abstract Higgs bundles; in the last two sections we derive the applications to Higgs bundles valued in a line bundle K and to bundles on elliptic fibrations.
      
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The relation between the theory of Yang-Mills fields and that of connections of principle bundles is established. It is proved that the new definition of the Yang-Mills field suggested by Yang is equivalent to the parallelism along a curve. The field equations proposed by various authors are discussed. A solution without singularity is given to Yang's field equations.

本文较详细地给出物理上的规范场与数学上的主纤维丛上的联络论之间的对应关系,从而以联络论的观点统一地处理杨振宁所说的规范场的“微分方法”与“积分”方法,并指出存在有更广泛的规范场的可能性。此外,讨论了引力场如何作为规范场及比较了一些已知的引力场方程。

In this paper, two methods for the control extension by analytical terrestrial photogrammetry are described; in the first, the net was made from analysis relationship formulas of image coordinate and its ground coordinate, also the bundle method was adopted for adjustment computation, consequntially, orientation element corrections of terrain photographs was obtained as well as the planimetric positron and elevation of extension points was determined; in the second, the free scale nets of terrain strip...

In this paper, two methods for the control extension by analytical terrestrial photogrammetry are described; in the first, the net was made from analysis relationship formulas of image coordinate and its ground coordinate, also the bundle method was adopted for adjustment computation, consequntially, orientation element corrections of terrain photographs was obtained as well as the planimetric positron and elevation of extension points was determined; in the second, the free scale nets of terrain strip photos were founded upon development formulas in the present paper, finally, orientation and adjustment computation of strip model was perfored.

在这篇文章里,阐述了地面摄影测量加密控制点的两种方法;第一个方法,是根据地面摄影象片坐标与地面坐标的关系公式解析构网,并采用光束法平差,从而,求得地摄象片定向元素的改正数与加密点的平面位置和高程;第二个方法,是根据本文推导的公式建立自由比例尺的地摄条带网,最后,将条带模型进行定向与平差。

In this paper, two methods for the control extension by analytical terrestrial photogrammetry are described: in the first, the net was made from analysis relationship formulas of image coordinate and its ground coordinate, also the bundle method was adopted for adjustment computation, consequntially, orientation element corrections of terrain photographs was obtained as well as the planimetric positron and elevation of extension points was determined; in the second, the free scale nets of terrain strip...

In this paper, two methods for the control extension by analytical terrestrial photogrammetry are described: in the first, the net was made from analysis relationship formulas of image coordinate and its ground coordinate, also the bundle method was adopted for adjustment computation, consequntially, orientation element corrections of terrain photographs was obtained as well as the planimetric positron and elevation of extension points was determined; in the second, the free scale nets of terrain strip photos were founded upon development formulas in the present paper, finally, orientation and adjustment computation of strip model was perfored.

在这篇文章里,阐述了地面摄影测量加密控制点的两种方法;第一个方法,是根据地面摄影象片坐标与地面坐标的关系公式解析构网,并采用光束法平差,从而,求得地摄象片定向元素的改正数与加密点的平面位置和高程;第二个方法,是根据本文推导的公式建立自由比例尺的地摄条带网,最后,将条带模型进行定向与平差。

 
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