equivalent infinitesimal

A Note on The Theorem of Equivalent infinitesimal Replacement

等价无穷小替换定理的一点注记

Generalized Theorem of Class Equivalent Infinitesimal Replacement

类等价无穷小替换定理的推广

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

Notes on Using the Equivalent Infinitesimal to solve limits

利用等价无穷小求极限的注记

Limit Calculation by the Equivalent Infinitesimal Replace Methods

应用等价无穷小量的代换方法求极限

The Extension and Application of the Equivalent Infinitesimal Replacement

等价无穷小量代换的推广和应用

Finding Limits of Undetermined Types by Using Equivalent Infinitesimal

用等价无穷小求某些未定型的极限

The uncertainty of these parameters will lead to the uncertainty of equivalent infinitesimal generator and also the performance function .

这些参数的不确定性不仅导致等价无穷小生成子的不确定性，也导致性能函数的不确定性。

The limit theorem of equivalent infinitesimal

等价无穷小的极限定理

This paper gives a general equivalent infinitesimal of trigonometric functions , and utilizes the equivalentinfinitesimal to make questions become easy .

给出了三角函数的一般形式的等价无穷小，并利用等价无穷小，来简化求极限时繁琐的步骤。

In this paper , infinitesimal classification is given and theorem condition of equivalent infinitesimal replacement is simplified , thus , this theorem is easy to operate .

对无穷小提出了新的分类法，并对等价无穷小替换定理的条件进行了简化，从而使得该定理应用更加方便。

The result is generalized to power exponential function , and the condition is given in which the items in sum or difference can be replaced by equivalent infinitesimal .

将求极限时无穷小的因子可用其等价无穷小代替的结论推广到幂指函数的情形，给出了“和或差中的项”可用等价无穷小代替的条件。

In the process of calculating limits , especially in the process of calculating the infinite 1 ∞, the usage of equivalent infinitesimal substitute can simplify procedure and solve the problem easily .

在极限运算过程中，尤其对未定式1∞型的极限运算，利用等价无穷小代换，可使问题变得简单易解。

In the former case , only the equivalent infinitesimal generator relies on uncertain system parameters , and in the later case , both the performance function and the equivalent infinitesimal generator rely on uncertain system parameters .

在每种参数条件下又分为两种情况，分别是仅等价无穷小生成子依赖系统参数，和性能函数与等价无穷小生成子都依赖系统参数。

Abstract This paper generalizes the theorem of class equivalent infinitesimal replacement in reference to the indefinite form of power exponent function type , and obtains several results with more application than reference , thus leading to more flexible and convenient application of class equivalent infinitesimal replacement

把文献〔1〕中类等价无穷小替换定理推广到幂指函数型的不定式中，获得了比文献〔1〕应用更广泛的几个结果，从而使得类等价替换定理应用更加灵活方便

For the problem of value iteration ( VI ) optimization of the compact action set in semi-Markov decision process , a unified standard VI algorithm directly based on the equivalent infinitesimal generator under both discount and average criteria was proposed with the proof of convergence .

针对半Markov决策过程在紧致行动集上的数值迭代优化，提出了折扣和平均准则下直接基于等价无穷小生成子的统一的标准数值迭代算法，并证明了其收敛性。

This paper studied the equivalent replacement of infinitesimal algebraic sum , and also gives the theory and application of the equivalent infinitesimal replacement about indefinite forms such as 1 ∞, 00 ect .

讨论了无穷小量的代数和的等价代换定理，以及1∞型和00型未定式极限的等价无穷小量代换定理及其应用。