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In [BL94] Beauville and Laszlo give an interpretation of the affine Grassmannian for Gln over a field k as a moduli space of, loosely speak-ing, vector bundles over a projective curve together with a ...
We prove that sufficiently regular solutions to the wave equation gK = 0 on the exterior of a sufficiently slowly rotating Kerr black hole obey the estimates ||  C(t)−3 2 + on a compact r...
We find the logarithmic L2-small ball asymptotics for a class of zero mean Gaussian fields with covariances having the structure of “tensor product”. The main condition imposed on marginal covariances...
The DGMRES method for solving Drazin-inverse solution of sin-gular linear systems is generally used with restarting. But the restarting often slows down the convergence and DGMRES often stagnates.
Transverse Diffeomorphism (TDiff) theories are well-motivated theories of gravity from the quantum perspective, which are based upon a gauge symmetry principle. The main contribution of this work is t...
In this paper, we study the Nakano-positivity and dual-Nakano-positivity of certain adjoint vector bundles associated to ample vector bundles. As applications, we get new vanishing theorems about ampl...
用符号逻辑的方式,证明在无穷多个任意参数曲面坐标系[包括单连通曲面坐标系和复连通曲面坐标系]Остроградский-Gauss公式的存在, 将曲面积分和三重积分推广到无穷多个任意参数曲面坐标系,实现任意参数曲面积分和任意空间区域三重积分,实现向量场(静电场、磁场、流体场、引力场等)和数量场在任意自由空间的积分计算.
从多项式空间到向量空间引入一种广义线性泛函,在内积空间上定义和构造向量值Padé-型逼近.借助向量值Padé型逼近的误差公式,给出关于线性泛函的正交多项式的定义,同时推导出向量值Padé-型逼近表的块状结构特征.利用Padé型逼近表的这一特征,可以减少向量值Padé-型逼近的计算量.最后,通过数值实例说明该方法的有效性.
In this paper, we study slant submanifolds of a Kaehler product manifold. We show that an F-invariant slant submanifold of Kaehler product manifold is a product manifold. We also obtain some curvature...
Let be a hyperbolic polynomial-like function of the form where are given positive real numbers and . Let be the critical points of lying in . Define the ratios We prove that . These boun...
将流形上的有关公式用分量表示,取局部正史基,借助张量分量的运算规律、技巧推算,最后再利用张量的点态性质,证明了一种特殊的Sasakian流形的φ一截曲率为c一3。由此给出了一十计算流形上的几何量的方法。
关于自逆变换     自逆变换  维列向量       2009/10/26
In this paper we give a method of generating the self-inverse transformation ofthe form S =I -- uv~T and S = S~(-1), and with its specific form solve the lineareguations. The numerical stability is we...
Balance Mechanism in Jukebox was analyzed, the mathematical modelof optimal design was discussed, and parameter optimization of mechanism wasresolved by numerical integrate and simplex algorithm in th...
选取了影响失业率的19个指标,构建了基于核主成分分析与加权支持向量机的预测方法,给出了具体的预测步骤,并用此方法对福建省城镇登记失业率进行了预测研究.研究结果表明,由于所用预测方法考虑了指标的相关性及不同时期样本的不同重要性并进行了简化降维,拟合及预测都达到了很高的精度,其相对误差都小于1{\%},说明用核主成分分析与加权支持向量机来预测失业率是可行且有效的,并可将其推广到其它领域的预测问题.
覆盖对策是建立在最优集合覆盖问题基础上的合作对策模型. 研究覆盖对策的核心稳定性. 基于线性规划对偶理论, 给出了一定条件下覆盖对策核心的刻划及其具有稳定核心的充要条件, 并将结果应用到若干具体的对策模型中.

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