查询词典 hermite normal form

Using the relations between Hermite and Laguerre-Gaussian modes and expanding the window function of two-dimensional rectangular hard-edged apertures into a finite sum of complex Gaussian functions, the propagation of complex- argument Laguerre-Gaussian beams through a paraxial optical ABCD system with a rectangular hard-edged aperture is studied. An analytical propagation equation is derived and used to study the diffraction at the rectangular hard-edged aperture and the focusing properties of complex-argument LG beams.

利用拉盖尔－高斯模和厄米－高斯模的变换公式，并使用将二维矩孔光阑窗口函数展开为有限个复高斯函数之和的方法，得到了复宗量拉盖尔－高斯光束通过含矩形硬边光阑近轴ABCD光学系统的变换的解析传输公式，并对复宗量LG光束通过矩形硬边光阑的衍射和聚焦特性进行了研究。

We decompose curvature signal with wavelet at first and then use its low frequency coefficients as new smooth curvature signal, which is used to construct a G^2 continuous piecewise rational cubic Bezier curve with (Geometric Hermite Interpolation, GHI) GHI method subsequently.

针对在逆向工程的实践中常见的轮廓线的光顺问题，给出了一种先对曲率图进行小波分解，提取其低频部分作为新的曲率图，并利用几何Hermite插值方法，生成G^2连续的分段三次有理Bézier曲线，从而重建出光顺的产品轮廓曲线的新方法。

Taking an optical system with a hard-edge aperture as an example, the intensity distributions of two low modes of Hermite-Gaussian beam were simulated and numerically calculated with the mathematical software.

通过分析计算得到如下结论：对于任意一个含有硬边光阑的复杂光学系统，都可以把光阑的作用从系统中"移"出来，把其看作是出射光瞳的作用，从而可以较为简便地求出观察面上的场分布。

Numerical simulation of the transformation of Hermite-Gaussian beams through a complicated optical system with multiple hard-edged apertures.

厄米-高斯光束经过多个硬边光阑复杂光学系统变换的计算模拟。

The transformation of Hermite-Gaussian beams through a complicated optical system with multiple hard-edged apertures was studied by Wen's method.

用Wen的方法研究了厄米-高斯光束通过含有多个硬边光阑复杂光学系统的传输，推导出了具有快速计算优点的传输公式，使计算时间大为减少。

Orthogonal grid ; mathematical model ; river regime ; Hermite function ; boundary layer ; SIMPLER algorithm

正交网络；数学模型；河势； Hermite函数；边界层； SIMPLER算法

Discretization is made with Hermite interpolation function and codes of computing the deflection and the dynamics of a marine riser has been written.

用Hermite插值函数离散，在微机上编写海洋立管静、动力分析程序，通过计算分析研究管内流体对立管侧向变形和应力的作用；另外，探讨管内流体的流动速度和立管顶端的预张力对立管动力特性的影响。

By means of the Hermite interpolation formula with second derivative,a type of integrating formulas with second derivative is derived.

利用带二阶导数的Hermite插值公式，导出一类具有二阶导数的求积公式。

It's the first time that from the angle of computational mathematics combined with the structure model of parallel machine, the parallel degree of the relevant algorithms in orthopaedics clinic engineering modeling system, such as piecewise cubic Lagrange interpolation formula, piecewise cubic Hermite's interpolation formula, cubic spline, Chebyshev multinomial fitting algorithms, least square method and contour curve multinomial algorithms, were discussed.

论文首次从计算数学的角度并结合并行机的结构模式出发，讨论了在骨科临床工程造型系统中可能涉及的如分段三次拉格郎日插值公式、分段三次埃尔米特插值公式、三次样条函数、切比雪夫多项式拟合算法，最小二乘法以及轮廓曲线多项式求值算法的并行度。

A fast algorithm based on Hermite interpolation polynomial for reconstructing signal from its wavelet transform maxima was proposed.

论文提出了一种基于Hermite插值多项式由二进小波变换模极大值重构信号的快速算法。

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。