查询词典 radon nikodym theorem

As the first step, the usage of the important theorem of the Sobolev space supplies some exciting conclusions by discussion of the method of protruding analysis and the function of energy with the positive and negative cases being considered.

采用能量函数方法和改进的凸性分析方法，从Sobolev空间的重要定理——嵌入定理入手，分初始能量为正或者为负两种情况，对所述问题进行讨论，得到了令人满意的结果。

In this paper,we introduce the concepts of efficient solution for vector variational inequalities and f-quasimonotone operator,and give an existence theorem for vector variational inequalities in Banach spases.

引进了向量变分不等式有效解以及f－拟单调算子的概念，并给出了Banach空间中拟单调向量变分不等式的有效解的存在性定理

Theorem 3.2 Let G be a solvable finite group.

定理3.2 设G为有限可解群。

The spectral transfer function of the imaging spectrometer is defined on the basis of the linear system theorem.

根据光学传递函数理论，定义了光谱成像仪的光谱传递函数。

Expanding a monochromatic electromagnetic beam into the sum over a seriesof plane waves using the spectral representation technique derives the generalforms of the scattering formulae of a monochromatic electromagnetic beamincident on wire grids. The general forms of the scattering power formulae of amonochromatic electromagnetic beam by wire grids are presented by usingPoynting theorem.

应用平面波谱技术将单色电磁波展开成连续平面波序列，由平面波入射金属栅网的散射公式推导了单色电磁波通过金属栅网的散射场一般公式，并应用坡印亭定理推导其散射功率的一般表达形式。

In the second part,we gave the theorem of inhomogeneous spectral inclusion regions of partitioned matrices,so some relevant researches have been improved in this field.

第二部分给出了分块矩阵的非齐次谱包含域定理。从而把有关矩阵非齐次谱包含域的研究工作做了一定改进。

The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces.

取得这样结果的最省力的尝试是引用光谱定理而得到正规算子恒有非平凡不变子空间的结论。

Then the propagation of an arbitrary nonideal optical beam is analyzed. In terms of the moment theorem, the performance of modes of BOR is analyzed from both points of view of geometry optics and diffractive optics. Comparing BOR with the resonators using plane mirror and spherical mirror or using plane mirror and aspherical mirror by finite element method, the design procedure for BOR is gave.

然后以衍射的角谱理论为基础，用矩量定理讨论了任意光束的传播规律，从几何光学和衍射光学的角度完整地分析了二元光学谐振腔的模式特征，用有限元方法数值对二元光学谐振腔、非球面腔和球面腔进行衍射分析，比较了三种腔型的差异，给出了二元光学谐振腔的设计方法。

Theorem 1: If a spherical triangle spherical triangle to the other extreme triangle , the other spherical triangle ...

定理1：如果一球面三角形为另一球面三角形的极三角形，则另一球面三角。。。

Based on them, we calculated precisely some enegy levels of P-wave and D-wave of a helium atom, presented and proved the general interdimensional degeneracies for a quantum N-body system, derived the general spherical spinor functions and the exact solution to the Dirac equation for the hydrogen atom, and proved uniformly the Levinson theorem for the Dirac equation in D-dimensions.

在此基础上，我们精确计算了氦原子P波和D波若干较低能级，建立和证明了量子N体系统不同维数状态间最普遍的简并，推导出任意 D 维空间广义球旋函数和Dirac方程氢原子的精确解，统一地提出和证明了任意 D维空间Dirac方程Levinson定理的一般形式。

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。