查询词典 hermite interpolation polynomial

First ,it is proved that a positive Hermite form corresponds uniquely to a positive self2adjoint operator in a complete random inner product module ,then this result leads directly to the proof of the main result of...

值得指出的是：完备随机内积模上Friedrichs 定理的证明中所涉及的一系列基本概念与方法都是以随机共轭空间理论为出发点的，与经典情形完全不同。

In this paper,based on an improved orthogonal expansion in an clement , using the new idea of Ref.[3] ,a new error expression of n-degree Hermite finite element approximation to one-dimensional 4-degrec 2-point bounded problem and 2-degree ordinary differential problem, and then optimal order superconvergence for their first derivatives is obtained.

本文针对在改进的单元正交性估计的基础上，利用文[3]提出的新想法，得到一维四阶两点边值问题和二阶常微初值问题的n次赫米特有限元u_h∈C~1的新误差估计式，以及导数误差的最佳阶超收敛，并且两者有相同的超收敛结果。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

The relation between the output phase differences and the losses of 2×2 and 3×3 optical fiber couplers with rotatory symmetry is deduced in this study, which is based on the characteristics of scattering matrix and Hermite positive definite quadratic form of the couplers.

前 言光纤耦合器用于诸如光纤干涉系统、光纤环、波分复用器件和光纤通信中的分集接收等场合时，除了要求适当的输出功率比以外，尚需考虑输出端光场间的相位关系［1～3］。

optical fiber coupler, scattering matrix ; output phase difference; Hermite quadratic form ; positive definite matrix

利用其散射矩阵为酉矩阵的么正性不难证明，2×2耦合器输出相位差恒为90°，与输出功率比无关，而耦合区具有旋转对称结构的3×3耦合器的输出相位差完全取决于输出功率比，特殊地，当等分功率输出时，输出

Furthermore, the sufficient conditions for convergence were given when the coefficient matrix A is a Hermite positive definite matrix or Mmatrix respectively.

给出了系数矩阵分别为Hermite正定矩阵和协矩阵时算法收敛的充分条件。

This research uses high sensitive piezoelectric sensor for developing a sensitive sphygmograph to detect anthropic pulse and to determine parameters to diagnose physiology of human. From spectrum of pulse, the analysis processes are to determine the high pass frequency used in the analysis, uses the IIR Buttorworth filter to remove the noise, to calculate the Hermite curve for filtering the oscillation parts caused by breathe, then to calculate the parameters in strength, time and angle domains from the processed signal to study their correlation with the physiology of the studied experimenters and compared the results with the machine from the market.

中文摘要本研究采用高灵敏度压电感测元件，发展敏锐的脉搏感测仪器，量测人体手腕脉搏波形，计算其中所包含之参数来探讨与研究人体生理状况相关性的适用性；藉由分析脉搏频谱成份并使用Buttorworth滤波器过滤高频杂讯，再使用Hermite方程式去除手腕低频振动杂讯，由过滤后的脉搏讯号萃取振幅强度、波形上升与下降时间、上升与下降角度等参数，经由统计分析探讨与人体生理之情况相关性，并将所获得指标结果与市售仪器所量测之数据变化进行比较。

The research on the nature, construction, advantages and disadvantages of the Hermite spline.

论文的主要研究内容如下：(1)研究了CMM和立体视觉系统的设备集成。

A class of Hermite-Bezier fitting surface with condition of tangent vectors is studied in this paper.

本文基于Kirov定理，利用Hermite方法，研究带有附加导数条件的Bezier曲面。

According to project operator concept, the many-knot spline and Hermite many-knot spline surfaces, which have the schemes of Boolean sum and Tensor product, are set up in this paper.

本文根据投影算子的概念，构造了多结点样条、多结点Hermite样条的布尔和曲面和张量积曲面。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？