插值函数

Put the discrete algebraic equations of initial derivative conditions and algebraic equation system of governing differential equation together to form a new algebraic system.

采用重心Lagrange插值近似未知函数，推导了未知函数各阶导数微分矩阵的显式表达式，建立了求解二阶常微分方程初值问题的重心Lagrange插值配点法。

Solvability of (0,δm),(o,m1,Am2,/m3)-interpolation problems on π-antiperiodic function and some of 2-oeriodic situation were discussed, and some fundamental problems on ;π-antiperiodic function were considered in this aspect.

讨论以π为周期的反周期函数的(0，δ~m)，(0，δ~p)插值问题，(0，m_1，m_2，m_3)插值问题及部分双周期情形解的存在性，其中也包含了许多反周期函数的基本问题的讨论。

The former, such as Bettess element and Astley element, needs geometry mapping and shape functions in terms of local coordinates, while for the latter, the shape functions are directly expressed in terms of global coordinates. This paper reviews the state-of-the-art and recent advances of the infinite element method for unbounded domains.

无限元分为映射无限元和非映射无限元：映射无限元需要引入几何映射，在局部坐标系中构造插值形状函数，如Bettess 元和Astley元；非映射无限元则直接在整体坐标系中构造插值形状函数，如Burnett元。

In this paper ,on one hand ,we establish the weakly asymptotic order of the classical Bernstein interpolation sequence approximate functionin the Wiener space(or 1-fold integrated Wiener space),on the other hand,we discuss the asymptotically order for the average error of Lagrange interpolation sequence, Hermite-Fejer interpolation sequence and Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

本文一方面确定了经典的Bernstein多项式算子列逼近函数时在Wiener空间(或1-重积分Wiener空间)下的平均误差的弱渐近阶；另一方面确定了基于第一类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弱渐近阶。

The properties of the new method are that (1) the equations that the quartic Bézier curve has to satisfy for being C 2 continuous are strictly row diagonally dominant;(2) the discontinuous points of the curve are at the given data points;(3) the curve is locally adjustable;(4) if the given data points are convex, the constructed quartic Bézier curve is convex.

用样条函数方法构造插值样条曲线曲面，曲线曲面的精度和形状是由给定的数据点和端点条件唯一确定的。在有些情况下，例如，对文献 [7～ 9]中的数据点集，由样条函数方法构造的C2 插值曲线是不可接受的，但由于没有额外自由度，无法调整曲线的形状。

This PPT introduces covariance function and its formula for calculating the variation function and its formula, Kriging interpolation process, and finally given an example based Kriging interpolation.

详细说明：本PPT介绍了协方差函数及其计算公式，变异函数及其计算公式，克里格插值方法的过程，最后给了一个基于克里金插值的实例。

The domain variables are interpolated by classical fundamental solutions and thus allowing for the transfer of the domain integration to the boundary.

其中，域内场函数用基本解插值，边界上的场函数用移动最小二乘法插值。

In this paper, the Lagrange interpolation formula asked a class function expression question, the determination function to the higher mathematics in the elementary mathematics in some value scope question, the equality proof question, the multinomial factorisation question, to ask to have the Finite series to pass the formula question, the certificate any n function at will n+1 different spots function value maximum value minimal problem and so on six aspects should serve as the simple introduction, and has separately made the comparison with these six aspects elementary mathematics method, thus solved some operation problems in elementary mathematics.

摘要本文对高等数学中Lagrange插值公式在初等数学中的求一类函数表达式问题、确定函数在某点的取值范围问题、恒等式的证明问题、多项式的因式分解问题、求有穷数列的通项公式问题、证明任一n次函数的随意的n+1个两两不同点的函数值的最大值的最小值问题等六个方面的应用作了简单介绍，并与这六个方面的初等数学方法分别作了比较，从而解决一些初等数学中的运算问题。

The results show that the suppositional meteorological stations can greatly improve the interpolation accuracy, and the ordinary Kriging method was the best among the three selected methods.

结果表明：模拟站点的加入大大提高了插值的精度；采用的3种插值方法中，普通克里格法比反距离加权法和径向基函数法具有更为理想的插值效果。

The method of fuzzy interpolative reasoning based on the proportion of vertex and inflection point of Gaussian-type membership function was presented, which provided a useful tool for fuzzy interpolative reasoning.

本文在线性插值推理方法的基础上，给出一种基于高斯型隶属函数的顶点和拐点距离比的模糊插值推理方法。这为模糊插值推理又提供了一个十分有用的工具。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。