the order of infinitesimal

This paper mainly discusses the order of infinitesimal,gets some conclusions of the comparison of infinitesimal order,and applies these conclusions to the calculation of limit and the sorting of infinitesimal.

文章对无穷小的阶进行了一些探讨,得到了几个关于无穷小阶的比较的结论,并应用于极限的计算与无穷小排序中去。

Some notes for functional derivative and infinitesimal of higher order;

关于函数可导性与高阶无穷小的几点注记

Order of Infinitesimal and Its Application to Criterion of Convergence and Divergence;

无穷小的阶数及其在敛散性判定中的应用

Relationship between Comparison of Order Infinitesimals and Continuousness and Differentiability of Functions

无穷小阶的比较与函数的连续、可导间的关系

Theorem 1 and are equivalent infinitesimals if and only if .

定理1与是等阶无穷小的充分必要条件为.

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

Some Sufficient Conditions about the Product of Countable Infinitesimal for Infinitesimal;

可列个无穷小乘积仍为无穷小的若干充分条件

Infinitely periodic solutions for a class second-order Hamiltonian systems

一类二阶Hamiltonian系统的无穷多周期解

The Thinking about the Product of Infinite Infinitesimals;

关于无穷多个无穷小的乘积的一些思考

Positive unbounded solutions of infinite boundary value problem for second-order singular differential equation

二阶奇异微分方程无穷边值问题的正无界解

infinitesimal area

无穷小邻域[面积]

Capable of having values approaching zero as a limit.

近零的，极小的无穷小地接近于零的

Being neither infinite nor infinitesimal.

非极限的，非无限小的既非无穷大也非无限小

Infinitesimal Quantum gl_n and Associated Little q-Schur Algebras;

无穷小量子gl_n和相关的小q-Schur代数

Existence of Solutions of Second-order Ordinary Differential Equation Infinite-Point Boundary Value Problems;

二阶常微分方程无穷多点边值问题的可解性

Multiple Positive Solutions to a Kind of Second-Order Four-Point Boundary Value Problem;

一类二阶四点边值问题无穷多个正解的存在性

Periodic Solutions for Second Order Neutral Functional Differential Equation with Infinite Delay

具无穷时滞二阶中立型微分方程的周期解