通过坐标和输入变换，系统的状态和输入变量被表示为子状态变量的高阶导数形式；
The states and inputs of the system were expressed in terms of higher order derivatives of a subset of states by using coordinate and input transformations.
用高阶导数卷积极谱法研究了针剂和尿液中抗肿瘤药物甲氨蝶呤的微量测定法。
The micro determination of methotrexate in pharmaceutical preparation and in urine by higher derivative convolution polarography has been reported in this paper.
研究了三个函数乘积的高阶导数，得到了一组相应的导数公式。
This paper studies derivatives of higher order about product of three functions, and obtains a group dependent derivative formulas.
给出了组成高阶导数的各项多项式与整数拆分的关系。
The relation between polynomials that constitute the high-order derivatives and integer partition is found out.
研究复合函数高阶导数的计算机算法。
A computer algorithm for calculating the high-order derivatives of composite functions is developed.
结合面积重现法和基于高阶导数的谱峰识别方法，我们实现了复杂色谱谱图的自动化解析。
Area reproduction method was introduced in combination with peak recognition algorithm based on high-order derivatives to automate the chromatograms division, peak recognition and rapid resolution.
利用非线性尺度法讨论了在高阶导数含有小参数的一类二阶微分方程的奇异摄动解。
With the method of non-linearity scale, the singular perturbation solution for a class of two order different equations is discussed, involving small parameter in the two order derivative.
柯西积分公式，高阶导数公式；
Cauchy Integral Formula, derivatives of high order formula;
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.
利用非线性尺度法讨论了在高阶导数含有小参数的一类二阶微分方程的奇异摄动解。
The singular perturbation solution for a class differential equations with turning points is discussed by the transformation of Goldstein.
结合基于高阶导数的谱峰识别方法和面积重现法，建立了一种完全自动化的对色谱曲线进行分割、识别与快速解析的方法。
Area reproduction method was introduced in combination with peak recognition algorithm based on high-order derivatives to automate the chromatogram division, peak recognition and rapid resolution.
本文阐述怎样利用高阶导数求函数极值点、拐点，然后再介绍相关运用。
In this paper, it is described how to seek extreme value point and inflexion point through high order derivation, and the relevant applications are introduced.
本文仿照高阶导数引入高阶积分的概念，并进一步推广和应用，得出一定理。
The advanced integral concept its advanced derivative, and its generalization and application areintroduces, resulting in the theorem.
本文根据拉氏方程，应用了结点任意分布的B样条函数来计算高偶阶导数。
In line with the Laplace equation and by using the spline function B with arbitrary distribution nodes, the calculation of the higher even derivatives were get through with.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
最后给出了高阶相对导数的定义，并通过实例加以说明。
Finally, the definition of higher relative derivative is given. Further, we give an interpretation by an example.
通过把高阶张量写成若干逆变和协变矢量的乘积，直接从变换入手，给出了定义高阶张量协变导数的另一种方法。
This paper discusses another way, which is rewritten as product of a few contravariant vectors and covariant vectors, to define higher order tensors covariant derivative through transformations.
在第四章里，引入集值映射的高阶广义相依导数和高阶广义邻接导数，同时讨论了它们的一些性质。
In Chapter 4, we introduce higher-order generalized contingent derivatives and higher-order generalized adjacent derivatives for set-valued maps, and discuss some of their properties.
这种分解可以给出高阶张量协变导数的另一种定义。
This decomposition may give another definition of high order tensor's covariant derivative.
在一般的条件下，证明了解的存在性，而且得到解及其各导数的高阶一致有效渐近展开式。
Under the general conditions, we prove the existence of the solution and get the asymptotic expansions of the solution and its derivatives, which are uniformly valid for the higher orders.
为克服分散鲁棒控制器设计中输出量各阶导数可测要求的限制，设计了带有高增益观测器的非线性鲁棒控制器。
A nonlinear robust controller with a high gain observer(ONRC) was developed for a decentralized robust controller for use when not every derivative of the output is measurable.
首先，简要介绍了三种主要的求和方法。然后，根据高阶等差数列通项的特性，利用新定义的形式导数列对其进行了有效的探讨。
We first introduce three methods of finding the sum of the first n terms for an arithmetic sequence of higher order, and then display another method by some formal derivatives of which are defined.
给出了一种新的求解非线性方程的迭代方法，该算法至少是5阶收敛且不用计算导数，具有收敛速度快，计算精度高的特点。
In this paper we present a new iteration method with high accuracy for solving nonlinear equations, This method has not only 5-order convergence but also avoids the operation of derivatives.
求由参数方程所确定的函数的高阶导数，提出了一种较为直观、简便的逐次求导方法。
Author presented a concise gradual derivation about higher derivative whose function defined by parametric equation.
用函数的链式法则和乘积公式给出了参数函数和复合函数的高阶导数的计算公式。
The formulas calculating higher derivatives of parametric functions and composite functions are given by the chain rule and the product formula for derivatives.
极值点和拐点是高阶导数应用中两个常见的概念。
The point of minima value and the point of inflexion are two common concepts of derivative.
并且，我们的方法可以被推广到求其他的高阶导数。
Moreover, our method can be extend to get higher order numerical differentiation.
熟练掌握和运用柯西积公式与高阶导数公式；
Grip expertly and apply the Cauchy Integral Formula and derivatives of high order formula;
本文采用非均匀有理B样条（NURBS）方法精确表达三维物体表面，物面及物面函数的高阶导数连续；
In this paper, NURBS method is used to describe the body surface accurately, the body surface and its differentiation are continuous;
本文采用非均匀有理B样条（NURBS）方法精确表达三维物体表面，物面及物面函数的高阶导数连续；
In this paper, NURBS method is used to describe the body surface accurately, the body surface and its differentiation are continuous;
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1、一般来说,当然就是一次一次地求导,要几次导数给几次；2、上面的方法比较沉闷,而且容易出错,通常根据被求导的函数,求几次导数后,根据结果,找到规律,然后用归纳法,证明结果正确；3、在解答麦克劳林级数、泰勒级数时,经常要求高阶导数,找规律是非常需要技巧的,很多情况下,递推公式(Redunction)是很难找到.实在找不到时,只能写一个抽象的表达式.
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infinitesimal of higher order答　x2-x3＝°(2x-x2).因为因此,当x→0时,x2-x3是2x-x2的高阶无穷小.
与"高阶无穷小"相关的文献前10条
给出了函数在原点可导的判定方法及求函数单侧导数的简便方法,并给出了这些方法的应用例子.还给出了高阶无穷小的运算性质及其在用带皮亚诺型余项的泰勒公式求函数极限中的应用.
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定积分的元素法关键是正确给出部分量ΔU的近似表达式"f(x)dx",然而在用元素法求曲面面积时,很多学生会忽略"ΔU-f(x)dx应为dx的高阶无穷小"这一条件.本文通过一个典型
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