A Primitive Function Description of Generalized Perron Integral;
广义Perron积分的原函数刻划
Expecially, when primitive function can t be found, the advantage lay definitely with it.
在数值分析中 ,常用复化梯形公式求∫baf (x) dx的满足一定精度的近似值 ,特别是在 f (x)的原函数找不到的情况下更显示出它的优越性。
At first,we can transform the ordinary differential equation of original function into the algebraic equation of image function,or transform the partial differential equation into ordinary differential equation by Laplace transforms method.
用Laplace变换法可把原函数所遵从的常系数微分方程变成像函数所遵从的代数方程来进行求解;把偏微分方程变成常系数微分方程,然后进行求解。
This paper has utilized the mathematic inductive method and Leibniz theorem to study the unity advanced derivation of complex-special Function and original function,acquired their united expression.
用数学归纳法和莱布尼兹公式对一类复杂函数的高阶导数与原函数的统一性进行了研究,获得了该类函数的高阶导数及原函数的统一表述公式。
Utilization of mathematical induction extends the unity of the higher-order derivation and primary function formula in document [1] to the special functions whose structural features are more complicated.
把文献[1]中所研究的高阶导数与原函数的统一性公式,利用数学归纳法推广到了结构更为复杂的特型函数中,获得了比文献[1]应用更为广泛的结果。
In this paper, through analyzing the structural features of a kind of ralatively complicated functions derivative and of this kind function itself, we deduce quickly and accurately the consequences of some kinds of functions primary functions and their higher order derivatives, without any analysis and opreation.
通过分析一类较为复杂函数的导数与其自身的结构特征 ,获得了由该类函数的一阶导数及其自身的结构特征 ,在不需要任何分析运算条件下 ,即可快速准确推知该类函数的原函数及其高阶导数的结果 研究结果表明 :高阶导数与原函数这对互逆运算在该类函数中可实现统一 利用该结果可给实际运算带来许多简化与方
This paper study the theorem inferred from the qualities of the derivative and the structure of the function to the qualities of the structure of its primary function and amends it,and also statesthe generalization of the theorem after amendment.
对由导数与函数的结构特征推知原函数的结构特征定理进行研究,并对其进行了某些修正和推广,获得了由该类函数自身及其导数的结构特征。
Solving Intermediate-Value Problems by Using the Method of Finding primitive Functions;
用求原函数法解决有关介值问题(英文)
In chapter 1, we mainly introduce the background of the research on the problem of primitives, and main results of this thesis.
第一章绪论部分,我们主要介绍了关于原函数还原问题的研究背景和本文的主要结果。
Piecewise Function,Integrability and Existence of Primitive Function
分段函数、函数的可积性与原函数存在性
The graph of the antiderivative of the function is called the integral curve of.
函数的原函数的图形称为的积分曲线。
Some Problems Concerning Function Inlegrability and Primitive Function Existence;
关于函数可积性与原函数存在性问题
Laplace transformation the uniqueness of primitive function and inverseimage function;
拉氏变换原函数,象函数的唯一性问题
Study on the Unity of Advanced Derivation of Complex-special Function and Original Function;
特型函数的高阶导数与原函数的统一性研究
Theorem 2 If is continuous on the closed interval ,then = is an antiderivative of on .
如果函数在区间上连续,则函数=就是在上的一个原函数.
On the Original Functional Continuity of Sectional-continuous Function and Its Application
关于分段连续函数的原函数的连续性及其应用
A new method to determine original-graphical integration;
求原函数的一种新方法——图解积分法
A Primitive Function Description of Generalized Perron Integral;
广义Perron积分的原函数刻划
LCAO (Linear Combination of Atomic Orbitals)
原子轨道函数线性组合
Application of Generalization Principle in Proving Constant Functions;
归结原则在证明函数为常量函数上的应用
Note: This function does not alter the original string.
注意:这个函数不能传唤原始字符串。
Research on the Production Function of Water-fertilizer of Winter Wheat in Hebei Plain;
河北平原冬小麦水肥生产函数的研究
Lower Bound of Dirichlet L-function for Real Primitive Characters at s=1;
实原特征的Dirichlet L-函数L(1,χ)的下界
Studies on the Potential Energy Curves of Homonuclear Diatomic Molecular Ions;
同核双原子分子离子势能函数的研究
Variational Studies on the Potential Energy Functions of Some Heteronuclear Diatomic Molecules;
异核双原子分子势能函数的变分研究
The Energy Levels and Wave Functions of the Hydrogen Atom in a Non-uniform Electric Fields;
非均匀电场中氢原子的能级和波函数
Homogeneitisation principle and Green s function in ordinary differential equations;
常微分方程中的齐次化原理与Green函数