查询词典 hermite interpolation polynomial

In this paper,some problems on bivariate Hermite interpolation by polynomial are studied.The concepts of strong H-basis and Hermite interpolation along a plane algebraic curve are proposed.

1引言如所知，光滑函数方法被广泛地应用于计算机辅助几何设计，有限元及散乱数据插值与拟合(Scattered data fitting and interpolation)等领域·在应用该方法过程中，有关光滑或Hermite插值格式及其显式表达式问题的研究是至关重要的一个方面。

In the third chapter, we obtain the average errors(asymptotic order or weakly asymptotic order) of the Lagrange interpolation sequence, the Hermite-Fejer interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

第三章分别给出了基于第一类Chebyshev多项式零点的Lagrange插值算子列、Hermite-Fejer插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差的值。

We constructed a finite volume scheme of fifth order Hermite type with high accuracy for twopoint boundary value problems, choosing trial and test spaces as the fifthorder finite element space of Hermite type and the piecewise linear function space respectively. We didn't use higher derivatives as interpolation conditions, which is the same as the thirdorder finite element of Hermite type, but the scheme obtained had higher accuracy.

构造求解两点边值问题的一种Hermite型五次元高精度有限体积法，其中试探函数空间取Hermite型五次有限元空间，与Hermite型三次元相同，未引入更高阶导数作为插值条件，检验函数空间取分段线性函数空间，这样构造的格式求解精度更高。

In theory of approximations, the classic methods of polynomial approximation for rational expression are various interpolations and operator approximations, such as Lagrange interpolation, Hermite interpolation and Bernstein polynomial approximation.

在逼近论中，用多项式逼近有理式的经典的方法是各种插值与算子逼近方法，如Lagrange插值、Hermite插值和Bernstein多项式逼近等。

At last, we gets the coefficients of rectifying curve ploynomial through the curves fitting of three order Hermite interpolation polynomial, second order interpolation polynomial, and presents a fitting methods of small current working.

本文对高压电动机测量用电流互感器在小电流工作时电流比值误差和角度误差进行了研究，通过对引起误差的各参数的深入分析，得到误差与电流的关系，并通过三次Hermite 多项式插值法、二次多项式插值法的曲线拟合，得到曲线多项式的各系数，提出一种小电流工作时的拟合方法。

As a application of this theory, we discussed the interpolation problems in which the nodes are ununiform rectanglar grids in real space. We gave the lowest interpolation bases of nodes in rectanglar and sidestep-shaped area. Another application is for finite elements theory. We mainly discussed finite elements of Hermite-Birkhoff type interpolation and gave a new algorithms for a interpolation bases.

作为上述理论的具体应用，我们一方面讨论了插值节点为实空间上的非均匀矩形格点的插值问题，主要给出了矩形区域和阶梯形区域中格点上插值问题的按序最低的插值基的一般公式，另一方面我们研究了多元插值在有限元中的应用，主要是针对Hermite-Birkhoff型插值的有限元给出了计算插值基函数的算法。

Concretely, starting from a short sequence primal masks possessing Hermite interpolation properties, a necessary and sufficient conditions such that primal masks satisfies the preassigned order of sum rules are established, then a dual masks with short support, symmetry and any preassigned order of sum rules is constructed, it follows that two multiscaling functions are obtained and then multiwavelets and dual multiwavelets are derived. From which, a general design framework is obtained for constructing biorthogonal multiwavelets system with multiplicity 2r associated with Hermite interpolation functions.

具体的，从具有Hermite插值性质的短序列尺度符号出发，首先建立它具有指定阶和规则的充要条件，然后构造出短支撑、对称的具有指定阶和规则的对偶尺度符号，从而得到一对对偶的尺度函数，再构造出相应的双正交多小波。

The close relationship between the Hybrid polynomial approximation and the classical Hermite polynomial approximation to rational curves and surfaces are studied, Hermite approximation is in fact a special case of Hybrid approximation. The sufficient and necessary condition for the convergence of Hybrid approximation to rational Bézier surface is deduced and proved.

围绕着有理曲线曲面的Hybrid逼近，作者研究了有理曲线曲面的Hybrid多项式逼近与传统的Hermite多项式逼近之间的密切关系，并指出Hermite逼近事实上是Hybrid逼近的一种特例，此后演绎并证明了有理Bézier曲面的Hybrid多项式逼近收敛的充分必要条件。

Presenting the calculating method of the space displacement model of skewed box girder, whit main ideas of: dispersing the skewed box girder into some skewed beam segments and further dividing those segments into some plate pieces according to their forms; describing the displacement functions in the plane of plate piece by assuming that the space displacements of any point in the joint line between the plate pieces are described by using Hermite interpolation functions and that two displacements in the plane of plate piece are linear in the cross direction; Using Hermite interpolation functions to describe the bending the displacement of the unit length transverse frame cutting longitudinal from the skew box girder segment; Finally, describing the space displacements of a point in the plate pieces by two displacements in the plane of the plate and one bending displacement of plate.

提出了斜交箱形梁空间位移场的计算方法：将斜交箱形梁沿纵向离散为若干斜梁段单元，依据箱梁的构成进一步将斜梁段划分为若干板段子单元；各板段联结线上任意点的位移按Hermite函数插值，假定各板段的面内位移沿其宽度方向线性变化，以描述各板段面内位移；沿斜交箱梁段的纵向截取单位长度横截面框架，框架各杆件空间位移按Hermite函数插值，以描述各板段面外位移；板段内任意点的空间位移最终以2个面内位移和1个面外位移描述。

Then, have stressed kinds of technology cubic Hermite function and cubic spline function, step by step, expand dual-cubic Hermite and dual-cubic spline function to progressively, sum up in the point that trinary cubic Hermite and trinary cublic spline finally.

讨论时重点突出了三次埃尔米特函数和三次样条函数，表达方式由浅入深，逐步扩展到双三次埃尔米特函数和双三次样条函数，最后归结到三三次埃尔米特函数和三三次样条函数。

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。