infinitesimal contact transformation

nonlinear evolution equation associated with the eigenvalue problemsof energy dependent potential is obtained by means of infinitesimal transformation based onthe work of Article [1].

在文献［１］的基础上，通过无穷小变换，得到了与位势依赖于能量的特征值问题相联系的非线性发展方程。

The vector field prolongation formula of infinitesimal transformation is introduced,and its computation is achieved by means of Mathematica program.

引入无穷小变换中的向量场延拓公式,利用Mathematica程序实现该公式的计算并将计算结果转换为代数表达式,在此基础上给出一个应用实例的Mathematica程序。

The application of infinitesimal institution in [1~∞]form limit

无穷小替换在求[1~∞]型极限中的应用

This paper is an extension of infinitesimal deformation of surfaces in Euclidean Space.

本文是对欧氏空间中曲面的无穷小变形的推广，讨论有单参数等距群的三维Ｒｉｅｍａｎｎ空间中曲面的无穷小变形，利用活动标架和拟解析函数的方法证明文中的定理。

The application of infinitesimal institution in [1~∞]form limit

无穷小替换在求[1~∞]型极限中的应用

On the Generalization of the Method for Calculating Limits with Equivalent Infinitesimal Replacement;

关于等价无穷小替换求极限方法的推广

Knack in Using Equivalent Infinitesimal Substitute to Solve Limits;

利用等价无穷小替换求极限的解题技巧

Application of Seeking Functional Limit by Equivalent Infinitesimal Replacement

浅析“等价无穷小替换”在求函数极限中的应用

Seeking Functional Limit by Equivalent Infinitesimal Replacement;

利用“等价无穷小的替换”求函数的极限

Application of Taylor Theorem on Getting Limit with Substitution of Equivalence Infinitesimal;

泰勒公式在用等价无穷小量替换求极限中的应用

A Research of Equivalent Infinitesimal Substitution Method Applied to Limit Operation;

用"等价无穷小替代法"求极限的研究

Limit Calculation by the Equivalent Infinitesimal Replace Methods;

应用等价无穷小量的代换方法求极限

This paper gives the equivalent keplacement of infinitesimal algebraic sum, and also gives the theory and application of the equivalent infinitesimal replacement about indefinite forms such as1?∝,0?° ect.

给出无穷小代数和的等价代换，以及“1∞型“00”型未定式等价无穷小代换定理及应用。

In this paper, the application of equivalent infinitesimal substitutionon method to limit operation is discussed.

讨论了等价无穷小代换在极限运算中的应用.

Probe into Limit Operation of Using Equivalation Infinite Small And L Hospital Theory;

对等价无穷小代换与洛必达法则求极限的探讨

A Supplement to the Method to Replace Equivalent Infinitely Small Quantity to Ask Limit;

关于等价无穷小代换求极限方法的一点补充

A Conclusion And Apply Of Theorem That Replace With Infinitesimal Of Equal Value;

等价无穷小代换定理的一个结论及其应用

infinitesimal area

无穷小邻域[面积]

Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.

推论1常数与无穷小的乘积是无穷小。

Corollary 1 The product of a constant and an infinitesimal is an infinitesimal.

推论2有限个无穷小的乘积是无穷小。

Theorem 1 The sum of finite number of infinitesimal is an infinitesimal.

定理1有限个无穷小的和也是无穷小。

Notes On Infinity And Infintesimal;

关于无穷小与无穷大关系的一点注记