查询词典 calculus of approximations

KdV equation can bedescribed in the language of Poisson bracket,so we can exploit its bracket struc-ture to design numerical approximations.

KdV方程能用Poisson括弧的语言来描述，因此我们可以利用它的括弧结构设计数值逼近。

This integration is performed in closed form by employing quadratic polynomial approximations for the amplitude and unwrapped phase of the integrated.

我们给出了电流近似和积分过程的举例。

Finally, some properties of rough set in quotient group are given and proved. The fourth chapter is the Roughness of Ring based on Ideal, a rough subring with respect to a ideal of a ring is discussed, and some properties of the lower and the upper approximations in a ring are studied.

最后，在商群中讨论了粗糙集的一些性质，并给出这些结论的严格证明；第四章是基于理想的环的粗糙，对一个环的子集关于理想的粗糙近似子环作了探讨，并研究了一个环的上、下近似的性质。

By using techniques from robust statistics, we obtain the approximations of the underlying surfaces. This leads to a conceptually good local patch with precise geometry properties, and as a result, the influence of noises is reduced. In addition, we also present a diffusion method to smooth the geometry properties, including principle curvatures and Frenet frame. The method ensures that the surfaces are smooth in the curvature space, and maintain the details, features and optimize the normals. The results show that, even in a high level noise situation, our algorithm can remove noise effectively, and at the same time keep the details of the model.

与传统的双边滤波去噪算法不同，该算法通过引入鲁棒统计理论获得模型表面较为准确的几何属性；进而在曲率空间中对包含主曲率和Frenet标架的表面几何属性进行各向异性的滤波，既有利于保持模型的细节，又能保证曲面的光滑性；与此同时，优化各个顶点的法向；最后在优化后的几何属性引导下，在几何空间中进行高阶双边滤波去噪。

On the basis of Nagumo′s existence theorem for the singular case, we obtain the existence of solutions of singular equations satisfying nonlinear boundary value conditions and periodic boundary value conditions by means of approximations.

在Nagumo型存在定理的基础上，我们应用逼近的方法给出了奇性方程满足非线性边值条件和周期边值条件的解的存在性。

In addition, for any f ∈ H〓 or H〓, the Sobolev space, the approximations of f , f′ and f are disscussed by means of the obtained sampling theorem.

另外，也给出Sobolev空间H〓和H〓中的函数、一阶导函数及二阶导函数的逼近表示。

The results on the related mixed approximations and techniques developed in this work are also applicable to many other problems with spherical geometry.

本文得到的一些理论结果和所采用的技巧，同样适用于其它球形区域问题的数值解。

Under rational approximations, the symmetry and resolution properties are analyzed in detail and compared to those of the traditional processing.

论文第六章推导给出了双差拍处理下的模糊函数，详细分析了其对称特性和分辨率特点，并与传统差拍处理下的模糊函数特性进行了比较。

The characteristics of these four approximations are based on combinations of a Taylor's series and a Chebyshev approximation in the pass and stopbands.

的特点，这四个近似是基于组合的泰勒系列和切比雪夫逼近的通行证及stopbands 。

In this paper,the problem of the rate of uniform convergence in the normal approximations of the Von Mises Statistics will be considered.

本文讨论了Von Mises统计量向正态逼近的一致收敛速度问题，在核函数仅满足二阶矩条件下，给出了上述收敛速度的上、下界，所得结果改进了 [2 ]中相应结论

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。