查询词典 atiyah singer index theorem

The idea of coarse geometry is motivated by the heat equation approach to the index theorem on noncompact manifolds.

用粗几何的观念研究非紧空间上的指标问题，这种想法来源于指标定理的热方程方法的启发。

This paper give an expression of budget set of no- arbitrage equilibrium by the stiefel manifold for the sake of orientation of equilibrium and construction of oriented index theorem.

对任意以2π为周期的连续函数f，本文构造了一个二重傅里叶级数，它在全平面上一致地收敛于f。

Chap. 5 deals with the influence of exciting current distribution on slow decay effect in transient EM radiation. The index theorem is modified.

然后，以行波脉冲天线为例验证了我们关于广谱辐射慢衰减以及电磁导弹形成的理论。

The existence of positive solutions of some fourth-order singular semi-positone boundary value problems are obtained on a special cone by using the fixed point index theorem.

本文在一个特殊锥上利用不动点指数定理，得到了一类四阶奇异半正边值问题正解的存在性，并给出了一个例子作为对所获结果的应用，推广和改进了一些已知结果。

A relative Szego projection is defined in the space of small deformations of 3-d CR structures of finite type, which is Fredholm. We also prove an index theorem, in whose proof we actually have the asymptotic expansion of the Szego kernel.

在三维有限型的CR结构的小形变空间上定义了相对Szego投影算子，并证明了相对Szego投影算子是Fredholm算子和相应的指标定理。

Solution;Positive solution;Fixed point index;Fixed point theorem

论文单位山东师范大学，点击次数 4，论文页数 35页File Size393k

Based on Fermat's theorem, the law of reflection and refraction is obtained, and the geometrical ray tracing method of reflected light is introduced. In response to geometric optics rainbow theory and Airy rainbow theory, the relationship formula of the N-order rainbow angle with the refraction index and the Airy peak value position formula are derived, and the physics causation of the first order rainbow are discussed and analyzed in detail. The distribution properties of the first and second order Airy structures of spherical particles are calculated.

利用费马原理推导了反射和折射定律，以反射射线的跟踪为例介绍了几何光学射线跟踪方法的推导过程；根据几何光学彩虹理论和Airy理论，推导了N阶几何光学彩虹角与入射角和折射率的关系及Airy峰的位置表达式，详细阐述了一阶彩虹形成的物理原因，计算了球形粒子的一、二阶Airy分布。

One of the cases was showed in theorem 4.18: finite group G is solvable if and only if Sec is nilpotent for every maximal subgroup At without prime index in G.

在本文中作者将要证明：G可解当且仅当对G中的任意极大子群M，或者I中存在极大元C使C/K幂零并且其Sylow2-子群的幂零类≤2，或者Sec为2-闭。

Difference equations; Green's function; Fixed point theorem; Fixed point index; Positive solutions; Cone

基础科学，数学，数学分析差分方程； Green函数；不动点定理；不动点指数；正解；锥

It also applies kernel density estimation method to investigate the accumulative relative productivity and the dynamic evolvement of its distribution. The result shows that there exists no country level absolute convergence of the provincial productivity whether incorporating environmental factors or not. The provincial TFP index is in a divergence trend and the provincial technical efficiency index has a convergence trend when incorporates environmental factors.

无论是否考虑环境因素，代表东、中、西三大区域的虚拟变量均不显著，表明不存在俱乐部收敛；当所考虑的控制变量为基础设施水平、工业化水平、经济开放度、能源强度时，所有的控制变量皆不具有统计显著性，表明不存在条件收敛。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。