高阶导数

关于拉格朗日插值过程的高阶导数逼近

Higher derivative approximation by Lagrange interpolation process

函数极值高阶导数判别法的简单证明

A simple proof of higher derivative discriminance on function extreme value

泛Cauchy型积分高阶导数的递推公式

A Recurrence Formula of Higher Derivatives for the Integral of Universal Cauchy Type

用乘积的高阶导数莱布尼兰公式推导出了n阶常系数线性非齐次方程通解的积分表达式。

Leibniz ' formula of the product derivative of higher order has been adopted to derive an integral representation for general solution of n-order constant coefficient nonhomogeneous linear equation .

含高阶导数的Runge-Kutta方法的稳定性准则

Stability criteria for Runge-Kutta methods with higher derivatives

由于一般情况下求f（X，y）的高阶导数都是相当麻烦的，这就使得高阶一步法在实际应用中受到很大程度的限制。

The use of higher other single step rule is restricted in a high degree in application because , in general , there are many difficulties in the process of solving higher derivative .

它是Rayleigh脉冲的高阶导数，理论分析表明这种脉冲的性能明显优于超宽带脉冲无线电中广泛使用的高斯脉冲。

It is the higher-order derivative of the Rayleigh pulse . Theoretical analysis shows this pulse performs significantly better than the widely adopted Gaussian pulse in ultra-wideband impulse radio .

给出了泛Cauchy型积分高阶导数的一个递推公式，并由此证明了解析函数的无限次可微性定理。

A recurrence formula of higher derivatives for the integral of universal Cauchy type is given , by making use of the formula , it is proved that analytic functions are infinitely differentiable .

基于牛顿插值方法，本文提出了构造具有高阶导数插值条件或缺少函数值插值条件的Hermite型插值的新格式，具有构造简单，应用广泛等优点。

New formulations for constructing Hermite type interpolations with higher function derivatives and without function values conditions are proposed based on the Newton interpolation method , which have advantages of simple structures and more applications .

由于Backstepping的虚拟控制量与未知参数逼近值及其高阶导数有关，为此通过微分平滑算法对原系统进行相应的动态扩展。

Given the fact that the virtual controllers in backstepping procedure are the functions of the parameter estimates and their higher derivatives , the differential flatness algorithm is used to expand the dynamics of original systems .

研究了当函数的高阶导数在某点处出现第一类间断时，其Bernstein多项式的相应阶导数在该点的收敛性，所得出的结论推广了G。

This paper discusses the convergency of Bernstein polynomial of a function at the point , where the higher order derivative of the function has the first kind discontinuity . The obtained result extends the related theorems of G.

在Einstein引力作用量中引入Wevl张量的平方项，得到有度规张量高阶导数项的引力场方程，考虑其弱场线性近似解，给出了牛顿极限，并讨论了某些新结果。

The field equations containing higher than second derivatives of the metric are obtained by adding the squared Weyl conformal Curvature term to the action for the Einstein theory of gravity . The Newtonian limit is given in first approximation and some new results are discussed .

本文从时延估计的Fisher矩阵的最基本概率表达式入手，利用Toerlitz矩阵性质，对无源定位中时延、多普勒及其更高阶导数联合估计的Fisher矩阵的性质进行分析。

In this paper , started with the most elementary probability formula of Fisher matrix for time delay estimation , some properties of the Fisher matrix for time delay , Doppler shift and its hither derivatives joint estimation are exploited by use of Toeplitz matrix chracteristics in passive location systems .

研究了单位圆盘上加权解析Lipschitz函数关于高阶导数的若干积分特征，并给出了它的Bergman-Carleson测度特征。

In this paper , we study some integral criteria of weighted analytic Lipschitz functions by using higher derivatives on the unit disk of the complex plane , and give the associated characterization in terms of Bergman-Carleson measures .

利用生成函数的方法研究了一类函数的高阶导数，建立了一些计算公式，推广和改进了Carlitz，Zeitlin的结果。

We use the method of generating functions to study the derivatives of higher order of a kind functions , some computational formulas are given , extend and improve the results of Carlitz , Zeitlin .

高阶导数与原函数统一性的研究

Study on the Unity of the Higher-order Derivation & Primary Function

关于复合函数高阶导数的一般公式

On the General Form of Higher Order Derivatives for Composition Functions

柯西型积分的高阶导数公式证明

Proof of Higher Order Derivative Formula for Cauchy Type Integral

正规族与高阶导数分担值

A Normal Family and Shared Values of Higher Order Derivatives

一类函数的高阶导数公式

Formulas of Higher Order Derivatives for a Class of Functions

对数导数的高阶导数及其运算性质

The Higher - order Derivative of Logarithmic Derivative and Its Operational Rules

涉及高阶导数分担值的亚纯函数的正规定则

Normality Concerning Higher Derivative in Meromorphic Functions and Shared Values

亚纯函数结合高阶导数的值分布

The Value Distribution of a Meromorphic Function and It 's Higher Derivative

具有高阶导数的块隐式混合单步并行计算方法

Parallel Block Implicit Hybrid One-Step Methods with Higher Order Derivative

基于二次特征函数高阶导数联合对角化的盲源分离算法

Second Characteristic Function High Order Derivative Joint Diagonalization Based on BSS Algorithm

复合函数高阶导数的图论演算

Calculation of High Order Derivatives of Composite Functions by Graph Theoretical Method

将求两个函数的乘积的高阶导数的莱布尼兹公式作了多种形式的推广。

In this paper various forms for the Leibniz formula have been given .

高阶导数应用研究

On the application of derivative of higher order

泊松方程及平面弹性问题有限元方法中求高阶导数的提取法

Extraction of higher derivatives in FEM for Poisson equation and the plane elasticity problem

并行计算的带有高阶导数的块隐式单步法

Parallel algorithms of Block Implicit hybrid one & step methods with higher order derivative