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We get a theoretical error of the fine antithetic variables Monte Carlo method for multidimensional integration.

对维数是s的二阶导数连续的函数来说,FAMC方法理论误差的阶是O。

The main advantages of the methodare that(1)this method is valid for all kinds of bifurcation pointswith the codimension ≤3;(2)it does not use any informations forsecond order derivatives and does not need the bifurcation point to beknown accurately in implementation;(3)it is sufficient to implementthe method that a standard continuation procedure is only used;and(4)derivation of the method is independent on the asymptotic expan-sions of the bifurcation solutions.

这种方法的主要优点是:(1)适应于一切余维数不超过3的分支点;(2)不需要任何二阶导数的信息,也不必精确地知道分支点的位置;(3)只需使用标准延拓软件就可以实现;(4)方法不依赖于分支解的渐近展式。

The first part is the preparatory knowledge, introducing the contracting mapping principle which through the basis of vector and matrix norm, derivative and differential theorem of mean to thorough understanding the nature of soluble for nonlinear equations.

第一部分为预备知识,重点介绍压缩映象原理。通过引入向量与矩阵范数,导数与微分中值定理,以求深入理解非线性方程组可解性的基本理论。

Using the concept of locally mean inte-grability which we give,we investigate the differentiability of the integral primitives.

对于模糊数值函数的导数问题进行了较为深入的探讨,尤其是积分原函数的可导性问题。

Numerical differentiation is that derivative value of a function at a certain point is approximately solved in discrete method.

中文摘要:数值微分就是用离散方法近似地求出函数在某点的导数值,关于数值微分已有许多求解方法,但这些方法都有各自的局限性,并且关于高阶导数近似逼近的方法研究相对较少。

Differential Calculus: limits and continuity; derivatives; techniques of differentiation; mean value theorem; higher derivatives; maxima and minima; curve sketching.

微分学:极限与续性、导、微分的方法、值定理、阶导数、值、绘曲线。

The paper gives a derivation rule of the power exponential function and analyzes some common calculation methods.

摘要证明了一条幂指函数的求导法则,并总结了幂指函数导数计算的常用方法。

The indefinite integral formula of rational proper fraction function is worked out by utilizing the relation between derivation and indefinite integral, and indefinite integral is calculated by using derivative.

本文利用求导与不定积分的关系,得出了有理真分式函数不定积分公式,并利用导数计算其不定积分。

In mathematics the smoothing of a function is often measured with the continuity, or nth deriv-ation, of the function, and the more precise measurement is the Lipschitz exponent of afunction.

函数在某点的光滑程度可用其在这点的连续性和各阶导数描述,但更细致的描述是用函数在这点的Lipschitz指数来刻划的,而函数在一个区间上的光滑性则可以用函数的一致连续和导函数来考察,更精确的是用一致Lipschitz指数来考虑。

Chlorophyll fluorescence excitation spectra of six phytoplankton species, belonging to Bacillariophyta and Dinophyta, were dealt by fourth-derivative analysis with the Matlab program.

测量了分属硅藻和甲藻两个门类的六种我国东海常见赤潮藻的叶绿素荧光激发光谱,以Matlab为操作平台,采用自编的光谱求导程序,对荧光激发光谱进行四阶导数处理。

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Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书,王祥生,李德昌。安徽省首次发现嗜群血蜱。

Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

第三章汉藏语&的&字结构的类型划分。