插值函数

The new method applies quadratic spline function to interpolate thenonharmonic function in Duhamel's integral.

本方法是利用二次样条函数对Duhamel积分中的非振荡型函数进行插值，导出了相应的数值积分公式。

Applying this transformation once, we can make the degree of the first r rows of the polyphase matrix decrease one order, and avoid decreasing the degree row by row as the traditional methods. This method is not restricted by the length of the filter, and needn't factorize the polyphase matrix into a special form.

本文对紧支撑小波构造方面的一些问题进行了探讨和研究，得到一系列有意义的结果，主要包括：在一元小波构造方面，给出由m-带紧支撑正交插值尺度函数显式构造相应正交小波符号函数的公式，这部分内容在第2章中给出。

The new method employs Viterbi algorithm and HMM parameters to produce the best state sequence and then to warp the time within the same state segment using function approximation technique and intersection technique. So a fixed dimensional feature vector can be got. It is then sent to the RBF neural network.

新方法首先利用隐马尔可夫模型参数和Viterbi算法产生语音信号的最佳时间序列，然后利用函数逼近和插值的方法进行时间规正，组成等维的语音识别特征；最后送径向基函数神经网络进行识别。

Adopting Hermite polynomial in stead of Taylor expansion has greatly decreased the order of the high-order cross sensitivity.

利用埃 尔米特插值逼近函数代替泰勒展开式，使目标函数对几何参数高阶交叉灵敏度的阶数大为降低，减小了计算代价。

Adopting Hermite polynomial in stead of Taylor expansionhas greatly decreased the order of the high-order cross sensitivity.

利用埃尔米特插值逼近函数代替泰勒展开式，使目标函数对几何参数高阶交叉灵敏度的阶数大为降低，减小了计算代价。

The main procedures are as following: to generate small increment of parameters automatically and to calculate the FE several times and obtain the sensitivity of objective function to the parameters, and then form a Hermite polynomial approximation, the calculation of FE solutions are substitute by the calculation of polynomial approximation, so time cost decreases dramatically.

用n维埃尔米特插值技术建立设计变量在可行域上的目标函数的逼近函数；将局部寻优的梯度算法和全局寻优的随机算法结合起来，大幅度地降低寻优过程中电磁场的计算次数。

In this paper, we provide a new method using the DQ method based on the interpolation of the highest derivative for the differential equations. The original function is then obtained by integration.

这种方法的出发点是通过对未知函数最高阶导数进行插值，然后积分得到对低阶导数和原未知函数的逼近。

Ythagorean hodograph curves enjoy a number of remarkable properties, such as, its offset curves have exact rational representations; the arc length function of a Pythagorean hodograph curve is simply a polynomial function of the curve parameter; and the lower degree Pythagorean hodograph curves have intuitive geometrical interpretation.

H曲线具有诸如有精确的有理 Offset、弧长函数可由多项式函数表示以及几何解释优美等一系列优良性质。基于复分析方法，避免了实分析讨论中出现的复杂表示及繁琐计算，构造了满足给定 C1 Hermite插值条件且以C1拼接连续的三次 PH曲线偶。该曲线偶可灵活处理拐点，从而克服了一般三次 PH曲线因恒凸而无法处理拐点的缺陷。

By using them, we can discuss the theory of holomorphic functions on domains: the characterization of zeros sets of holomorphic functions on the boundary, the characterization of A infinity interpolation sets on the boundary, etc.

对于复椭球和广义复椭球，我们给出了其全纯支撑函数的估计，构造了边界上的拟距离，并用这些结果来研究域上的解析函数论：边界上解析函数零点集的刻划，A无穷插值集的刻划等。

Based on polynomial interpolation and approximation theory,a Chebyshev orthogonal basis neural network is constructed in this paper.

根据多项式插值和逼近理论构造一个切比雪夫正交基神经网络，其模型采用三层结构并以一组切比雪夫正交多项式函数作为隐层神经元的激励函数。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。